Nayini Satyanarayana Reddy

SSC CGL Averages MCQs

30 Powerful SSC CGL Averages MCQs with Detailed Solutions

SSC CGL /

30 Powerful SSC CGL Averages MCQs with Detailed Solutions   Practice SSC CGL Averages MCQs with detailed explanations, SSC shortcut tricks, and Tier-II level questions. Improve your speed and accuracy for SSC CGL, CHSL, CPO, MTS, and Railway exams.   1. The average of 8 numbers is 24. If one number is removed, the average of the remaining numbers becomes 22. The removed number is A. 34     B. 36 C. 38     D. 40 Correct Answer: C. 38 Explanation: Total of 8 numbers = 8 × 24                           = 192 Total of remaining 7 numbers = 7 × 22                                            = 154 Removed number = 192 − 154                           = 38 2. The average age of 15 students is 18 years. If the teacher aged 42 years joins them, then the new average age becomes A. 19.0  B. 19.5 C. 19.8  D. 20 Correct Answer: B. 19.5 Explanation: Total age of students = 15 × 18                               = 270 Including teacher = 270 + 42                           = 312 New average = 312 ÷ 16                     = 19.5 SSC CGL Averages MCQs 3. The average of five consecutive even numbers is 34. The largest number is A. 36  B. 38 C. 40  D. 42 Correct Answer: B. 38 Explanation: Five consecutive even numbers are 30, 32, 34, 36, 38 Average is always the middle number. Largest = 38 4. The average marks of 12 students is 68. If one student scored 92 marks, the average of the remaining students is A. 64  B. 65.82 C. 66  D. 67 Correct Answer: B. 65.82 Explanation: Total marks = 12 × 68                    = 816 Remaining marks = 816 − 92                           = 724 Average  = 724 ÷ 11                = 65.82 5. The average of the first 20 natural numbers is A. 10  B. 10.5 C. 11  D. 12 Correct Answer: B. 10.5 Explanation: Average of first n natural numbers = (n + 1)/2 = (20 + 1)/2 = 10.5 6. The average of 9 observations is 48. If one observation was wrongly taken as 64 instead of 46, then the correct average is A. 46  B. 47 C. 48  D. 49 Correct Answer: A. 46 Explanation: Wrong total   = 9 × 48                     = 432 Correct total = 432 − 64 + 46                     = 414 Correct average = 414 ÷ 9                          = 46 7. The average of 6 numbers is 25. Another number is added, and the average becomes 27. The added number is A. 37  B. 39 C. 41  D. 45 Correct Answer: B. 39 Explanation: Initial total = 6 × 25                = 150 New total  = 7 × 27                  = 189 Added number  = 189 − 150                         = 39 8. The average weight of 10 boys is 52 kg. One boy weighing 60 kg leaves the group. The new average weight is A. 50  B. 51.11 C. 52  D. 53 Correct Answer: B. 51.11 Explanation: Total weight = 10 × 52                          = 520 Remaining weight = 520 − 60                                     = 460 Average = 460 ÷ 9                 = 51.11 kg 9. The average of four consecutive odd numbers is 28. What is the smallest number? A. 23  B. 25 C. 27  D. 29 Correct Answer: B. 25 Explanation: Four consecutive odd numbers are a, a + 2, a + 4, a + 6 23, 25, 27, 29 Average = (a + a + 2 + a + 4 + a + 6)/4 28 = (4a + 12)/4 4a + 12= 28 × 4 4a + 12= 112 4a = 112 – 12 4a = 100 a = 25 SSC CGL Averages MCQs   10. The average salary of 25 employees is ₹32,000. If the manager’s salary is included, the average becomes ₹34,000. The manager’s salary is A. ₹82,000  B. ₹84,000 C. ₹86,000  D. ₹88,000 Correct Answer: B. ₹84,000 Explanation: Total salary of employees = 25 × 32,000                                        = ₹8,00,000 Total salary including manager = 26 × 34,000                                              = ₹8,84,000 Manager’s salary = ₹8,84,000 − ₹8,00,000                           = ₹84,000 11. The average of 12 numbers is 48. If the average of the first 7 numbers is 45, then the average of the remaining 5 numbers is: A. 50.2  B. 51.8 C. 52.2  D. 53.4 Correct Answer: C. 52.2 Explanation: Total of 12 numbers = 12 × 48                                = 576 Total of first 7 numbers = 7 × 45                                     = 315 Total of remaining 5 numbers = 576 − 315                                             = 261 Average = 261 ÷ 5                  = 52.2 12. The average of 30

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SSC CGL Square Roots MCQs

Powerful SSC CGL Square Roots MCQs with Detailed Solutions 2026

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Powerful SSC CGL Square Roots MCQs with Detailed Solutions 2026 Practice SSC CGL Square Roots MCQs with detailed explanations, shortcut tricks, and Tier-II level questions. Improve speed, accuracy, and exam confidence with expertly designed practice questions.   1. What is the square root of 1764? A. 38   B. 40 B. 42   D. 44 Correct Answer:  C. 42 Explanation: Since’ 422 = 42 ×42 = 1764 ∴ Square root of 1764= 42 Remember important perfect squares: 38² = 1444 39² = 1521 40² = 1600 41² = 1681 42² = 1764 43² = 1849 2. Find the value of A.42  B. 43 B. 44  D. 45 Correct Answer: D. 45 Explanation: 452 = 2025 Hence =  45 3. What is the least number that must be added to 990 so that it becomes a perfect square? A. 32   B. 34 C. 11   D. 14 Correct Answer: B. 34 Explanation Nearest perfect squares: 312 = 961 322=1024 Difference: 1024 – 990 =34 990 + 34 =1024  The least number that must be added to 990 to make it a perfect square is 34 4 . Evaluate A. 0.09  B. 0.9 C. 0.81   D. 9 Correct Answer:  A. 0.09 Explanation: Since 0.09 × 0.09=0.0081 ∴ = 0.09 5. Find A. 8/9  B. 7/8 C. 7/9  D. 9/7 Correct Answer: C. 7/9 Explanation: 6. If = 17, then the value of x is A. 278  B. 289 C. 299  D. 306 Correct Answer: B. 289 Explanation: = 17 Squaring both sides  x = 172      = 289  7. Which of the following numbers is not a perfect square? A. 1296  B. 1600 C. 1458  D. 1681 Correct Answer: C. 1458 Explanation: 1296 = 36² 1600 = 40² 1681 = 41² 1458 is not the square of any integer Shortcut Trick Memorise squares from 1 to 50. It saves valuable exam time. 8. A square park has an area of 3249 m². What is the length of each side? A. 55 m  B. 56 m C. 57 m  D. 58 m Correct Answer: C. 57 m Explanation: For a square, Area = (Side)2 Therefore, (Side)2 = 3249 Side =  = 57   SSC CGL Percentages   9. Find the least number that must be subtracted from 1750 to make it a perfect square. A. 59  B. 29 C. 69  D. 39 Correct Answer: C. 69 Explanation 412=1681 422=1764 1750 – 1681= 69 Thus, 69 is the least number to be subtracted. SSC CGL Square Roots MCQs 10. Evaluate A. 0.12  B. 1.2 C. 12  D. 0.24 Correct Answer: B. 1.2 Explanation 1.2 × 1.2 = 1.44  =1.2 11. If =  24 A. 484  B. 576 C. 625  D. 676 Correct Answer: B. 576 Explanation: =  24 Squaring both sides, x = 242 = 576 12. Which of the following is a perfect square? A. 1520  B. 1521 B. 1523  D. 1525 Correct Answer: B. 1521 Explanation: 392 = 1521 The remaining numbers are not perfect squares. Shortcut Trick Memorize squares from 30² to 50². 13. Which one of the following numbers has an irrational square root? A. 225  B. 256 C. 320  D. 400 Correct Answer: C. 32 Explanation: 225 = 15² 256 = 16² 400 = 20² 320 is not a perfect square.  √ 320 is an irrational square root 14. Find the value of A. 79  B. 80 C. 81  D. 82 Correct Answer: C. 81 Explanation  Memorize frequently used perfect squares: 36² = 1296 45² = 2025 This saves valuable calculation time. 15. Which one of the following is not a perfect square? A. 2500  B. 2601 C. 2700  D. 2809 Correct Answer: C. 2700 Explanation 2500 = 50² 2601 = 51² 2809 = 53² 2700 is not a perfect square. 16. The side of a square is 48 cm. Find its area. A. 2204 cm²  B. 2256 cm² C. 2304 cm²  D. 2400 cm² Correct Answer: C. 2304 cm² Explanation Area = 482 =2304cm2 17. Simplify A. 50  B. 51 C. 52  D. 53 Correct Answer: B. 51 Explanation 18. Which of the following numbers can never be a perfect square? A. A number ending in 6 B. A number ending in 5 C. A number ending in 2 D. A number ending in 9 Correct Answer: A number ending in 2 Explanation A perfect square can end only with 0, 1, 4, 5, 6, or 9  A perfect square never ends with 2, 3, 7, or 8. Hence, a number ending in 2 cannot be a perfect square.   Important SSC CGL Square Root Shortcuts Perfect squares never end in 2, 3, 7, or 8. Numbers ending in 25 usually have square roots ending in 5   (e.g., 2025 = 45², 7225 = 85²). Use nearby squares to estimate roots quickly (e.g., 39² = 1521, 40² = 1600). For decimals, ignore the decimal point first, find the square root, then place the decimal correctly. For fractions, use: Area of a square = (Side)², so Side = √Area. Memorize perfect squares from 1² to 100² Squares and Square Roots Tables   SSC CGL Square Roots MCQs     SSC CGL Square Roots MCQs   SSC CGL Quantitative Aptitude Topics Number System Decimals Fractions Percentages Ratio & proportion Square roots Averages Interest (simple & compound) Profit & loss Discount Partnerships Mixture & Alligation Time & speed & distance Time & work Advanced math includes basic algebraic identities Elementary surds Linear equations Triangles Circles Regular polygons, right prisms, cones, cylinders, spheres Trigonometry YOUTUBE   If you are interested in reading stories, CLICK HERE

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SSC CGL Ratio and Proportion MCQs

Top SSC CGL Ratio and Proportion MCQs 26 – Powerful Practice

SSC CGL /

Top SSC CGL Ratio and Proportion MCQs – Powerful Practice Practice the best SSC CGL Ratio and Proportion MCQs with answers, explanations, and shortcut tricks. Tier-II level questions for SSC CGL 2026 preparation. 1. The ratio of two numbers is 7 : 9. If their sum is 128, find the larger number. A) 54               B) 72 C) 74               D) 78 Correct Answer: B) 72 Explanation: Total ratio = 7 + 9 = 16 One part = 128/16 = 8 Larger number = 9 × 8 = 72 2. If A : B = 4 : 5 and B : C = 6 : 7, then A : B : C equals A) 24 : 30 : 35              B) 12 : 15 : 21 C) 24 : 20 : 35               D) 8 : 10 : 14 Correct Answer: A) 24 : 30 : 35 Explanation: LCM of 5 and 6 = 30 A:B = 24:30 B:C = 30:35 Therefore A:B:C = 24:30:35 3. The ratio of boys to girls in a class is 5 : 4. If there are 36 girls, the number of boys is A) 40                  B) 45 C) 50                  D) 55 Correct Answer: B) 45 Explanation: 4 parts = 36 1 part = 9 Boys = 5 × 9 = 45  4. ₹840 is divided among A, B and C in the ratio 2 : 3 : 7. Find C’s share. A) ₹420              B) ₹490 C) ₹520              D) ₹560 Correct Answer: B) ₹490 Explanation: Total ratio = 12 C’s share = (7/12) × 840 = ₹490 5. If 3A = 4B, then A : B is A) 4 : 3 B) 3 : 4 C) 1 : 2 D) 2 : 1 Correct Answer: A) 4 : 3 Explanation: 3A = 4B A/B = 4/3 Hence ratio = 4 : 3  6. A mixture contains milk and water in the ratio 5 : 3. If 16 litres of water are present, milk is A) 24 L                B) 26 L C) 28 L                D) 30 L Correct Answer: B) 26⅔ L Explanation: 3 parts = 16 1 part = 16/3 Milk = 5 × 16/3 = 80/3 = 26⅔ L SSC CGL Ratio and Proportion MCQs 7. The ratio of incomes of A and B is 3 : 4 and their expenditures are in the ratio 2 : 3. If both save ₹600 each, A’s income is A) ₹1800          B) ₹2400 C) ₹3000          D) ₹3600 Correct Answer: B) ₹2400 Explanation: Income = 3x, 4x Expenditure = 2y, 3y 3x−2y = 600 4x−3y = 600 Solving: x = 800 A’s income = 3 × 800 = ₹2400 8. If A:B = 5:8 and B:C = 4:7, then C:A equals A) 14:5         B) 7:5 C) 14:10        D) 7:4 Correct Answer: A) 14:5 Explanation: A:B = 5:8 B:C = 4:7 A:B:C = 10:16:28 C:A = 28:10 = 14:5 9. The fourth proportional to 3, 5 and 12 is A) 18         B) 20 C) 22         D) 24 Correct Answer: B) 20 Explanation: 3 : 5 = 12 : x x = (12 × 5)/3 = 20   10. If x : y = 2 : 3 and y : z = 4 : 5, then x : z is A) 8 : 15         B) 2 : 5 C) 3 : 5           D) 4 : 15 Correct Answer: A) 8 : 15 Explanation: x:y = 8:12 y:z = 12:15 Therefore x:z = 8:15 11. A sum of money is divided among A, B and C in ratio 3:5:7. If C gets ₹560 more than A, total sum is A) ₹1800         B) ₹2100 C) ₹2400         D) ₹2700 Correct Answer: B) ₹2100 Explanation: Difference = 7−3 = 4 parts 4 parts = ₹560 1 part = ₹140 Total = 15 × 140 = ₹2100 12. Two numbers are in ratio 4:7. If 12 is added to each, ratio becomes 2:3. The numbers are A) 24,42          B) 20,35 C) 16,28          D) 28,49 Correct Answer: A) 24,42 Explanation: Numbers = 4x,7x (4x +12)/(7x + 12)=2/3 12x + 36=14x + 24 x=6 Numbers = 24,42 13. If a:b = 3:4, b:c = 5:6 and c:d = 7:8, then a:b:c:d equals A) 105:140:168:192         B) 70:80:96:112 C) 15:20:24:28                 D) 35:40:48:56 Correct Answer: A) 105:140:168:192 Explanation: Equalizing common terms gives final ratio. 14. The ratio of present ages of A and B is 4:5. After 8 years it becomes 6:7. Present age of B is A) 20 years            B) 25 years C) 30 years             D) 35 years Correct Answer: A) 20 years Explanation: A=4x, B=5x (4x + 8)/(5x + 8)=6/7 28x + 56=30x + 48 x=4 B=20 years  15. A bag contains red and blue balls in ratio 7:9. If 32 more red balls are added, ratio becomes 13:9. Original red balls are A) 56             B) 73 C) 37             D) 34 Correct Answer: C) 37 Explanation: Let balls = 7x and 9x (7x + 32)/9x =13/9 7x + 32=13x x=32/6=16/3 Red = 7 × 16/3 ≈ 37.33 Checking options, nearest valid integer setup gives 37. 16. If A:B = 2:5 and B:C = 3:4, then A:B:C equals A) 6:15:20           B) 2:5:4 C) 4:10:12           D) 8:20:25 Correct

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SSC CGL Percentages MCQs

30 Powerful SSC CGL Percentages MCQs with Answers for Tier-II

SSC CGL /

30 Powerful SSC CGL Percentages MCQs with Answers for Tier-II Practice 30 SSC CGL Percentages MCQs with detailed answers, shortcut tricks, and Tier-II level explanations. Perfect for SSC CGL, CHSL, CPO, and Railway exams . 1. A number is increased by 20% and then decreased by 20%. What is the net percentage change? A) 0%       B) 2% decrease C) 4% decrease  D) 4% increase Correct Answer: C) 4% decrease Explanation: Net change =  20 – 20 – (20 × 20) /100 = – 4% Shortcut Trick: Successive equal increase and decrease = (\frac{x^2}{100})% decrease 2. If 40% of a number is 240, the number is: A) 500  B) 600 C) 700  D) 800 Correct Answer: B) 600 Explanation: 40% × Number = 240 Number = (240 × 100) / 40 = 600 3. The population of a town increases by 10% annually. If the present population is 24,200, what was it one year ago? A) 20,000  B) 21,000 C) 22,000  D) 22,500 Correct Answer: C) 22,000 Explanation: Previous population = (24200 × 100) / 110 = 22000 Shortcut Trick: To find the original value, divide by the growth factor. 4. A student scored 35% marks and failed by 26 marks. Another student scored 41% and got 10 marks above the passing mark. Passing percentage is: A) 38%  B) 39% C) 40%  D) 42% Correct Answer: C) 40% Explanation: Difference = 41% − 35% = 6% Corresponds to 36 marks. Total marks = (36 × 100) / 6 = 600 Passing marks = 210 + 26 = 236 Passing % = (236/600) ×100% ≈ 39.33% Nearest = 40%  5. A price is reduced by 25%. By what percentage should it be increased to regain the original price? A) 25%  B) 30% C) 33⅓%  D) 40% Correct Answer: C) 33⅓% Explanation: Required increase = [25/(100−25)] ×100 = (25/75) ×100 = 33⅓% Shortcut Trick: Decrease x% ⇒ Required increase = x/(100−x) ×100 6. If A’s salary is 25% more than B’s salary, then B’s salary is what percentage less than A’s salary? A) 20%  B) 25% C) 30%  D) 35% Correct Answer: A) 20% Explanation: A:B = 125:100 Difference = 25 Percentage less = (25/125) ×100% = 20%   7. 75% of 480 is: A) 340  B) 350 C) 360  D) 370 Correct Answer: C) 360 Explanation: 75% = 3/4 (3/4) × 480 = 360 8. The value of an item rises from ₹800 to ₹920. Percentage increase is: A) 12%     B) 15% C) 18%  D) 20% Correct Answer: B) 15% Explanation: Increase = 120 Increase Percentage =  (120/800) ×100% = 15% 9. A shopkeeper marks goods 20% above the cost price and allows 10% discount. His profit percentage is: A) 6%  B) 7% C) 8%  D) 10% Correct Answer: C) 8% Explanation: CP = 100 MP = 120 SP = (120 × 90)/100 = 108 Profit = SP – CP             = 108 – 100  = 8  Profit % = (8/100) × 100% Profit %= 8% 10. What per cent of 250 is 40? A) 14%  B) 15% C) 16%  D) 18% Correct Answer: C) 16% Explanation: (40/250) ×100 % = 16%   SSC CGL Percentages MCQs SSC CGL Fractions MCQs: Ultimate Tier-I & Tier-II Practice Set 26   11. If 12% of a number is 96, the number is: A) 700  B) 750 C) 800  D) 850 Correct Answer: C) 800 Explanation: Number = (96 ×100) /12 = 800. 12.  A candidate secures 45% marks and gets 180 marks. Maximum marks are: A) 350        B) 400 C) 450        D) 500 Correct Answer: B) 400 Explanation: Maximum marks = (180 ×100) /45 = 400 13. The income of a person increases by 20% while expenditure increases by 10%. Savings increase by: A) Cannot be determined B) 15% C) 20%  D) 25% Correct Answer: A) Cannot be determined Explanation: Initial income and expenditure are unknown. Savings depend on both values. 14. A number is first increased by 25% and then by 20%. Overall increase is: A) 40%     B) 45% C) 50%     D) 55% Correct Answer: C) 50% Explanation: Net increase = 25 +20 +(25×20)/100 = 50%  15. The price of sugar rises by 25%. Consumption must be reduced by: A) 18%       B) 20% C) 22%    D) 25% Correct Answer: B) 20% Explanation: Reduction = (25/125) ×100                      = 20% 16. A’s marks are 20% higher than B’s. By what percent are B’s marks lower than A’s? A) 15%  B) 16⅔% C) 18⅔%  D) 20% Correct Answer: B) 16⅔% Explanation: A:B = 120:100 Difference = 20 (20/120) ×100 = 16⅔% 17. A quantity is reduced from 500 to 425. Percentage decrease is: A) 12%  B) 15% C) 18%  D) 20% Correct Answer: B) 15% Explanation: Decrease = 75 Decrease% = (75/500) ×100 = 15% 18. In an election, a candidate gets 55% votes and won by 1200 votes. Total votes polled are: A) 10,000  B) 12,000 C) 15,000  D) 20,000 Correct Answer: B) 12,000 Explanation: Difference = 55% −45% =10% 10% = 1200 100% = 12,000 19. A number exceeds another by 25%. The smaller number is what percent less than the larger? A) 18%  B) 20% C) 22%  D) 25% Correct Answer: B) 20% Explanation: Assume numbers 125 and 100 Difference = 25 Percentage of less than the larger = (25/125) ×100                                                  = 20% 20. A trader gains 20% after giving a discount of 10%. If the cost price is ₹500, the marked price is: A) ₹640  B) ₹650 C) ₹666.67  D) ₹700 Correct Answer: C) ₹666.67 Explanation: SP = (500 ×120)/100 = ₹600 MP ×90% = 600 MP = (600 ×100)/90 = ₹666.67 SSC CGL Percentages MCQs   21. A number is increased by 30% and then decreased by 20%. The net change is: A) 4% increase  B) 4% decrease C) 6% increase  D) 10% increase Correct Answer: A)

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SSC CGL Fractions MCQs

SSC CGL Fractions MCQs: Ultimate Tier-1 & Tier-2 Practice Set

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SSC CGL Fractions MCQs with Answers and Explanations Practice SSC CGL Fractions MCQs with detailed answers, shortcut tricks, and explanations. Latest SSC CGL Tier-I & Tier-II fraction questions for exam preparation. 1. What is the value of 3/4 +5/8?  A. 1⅜     B. 1¼  C. 1½     D. 1⅝ Correct Answer: A. 1⅜ Explanation:  3/4=6/8 3/4 +5/8 = 6/8 + 5/8                    =11/8                   =1⅜ Shortcut Trick: Convert to the same denominator first.   2. Find the value of 7/12 – 1/8.   A. 11/24    B. 13/24   C.9/24         D. 7/24 Correct Answer: A. 11/24 Explanation: LCM of 12 and 8 = 24  7/12 =14/24}  1/8=3/24 (14 – 53)/24=11/24   3. Simplify 15/28 × 14/25. A.3/10  B. 2/5 C.1/2   D. 5/14 Correct Answer: A. 3/10 Explanation: Shortcut Trick: Cross-cancel before multiplication.   4. What is the reciprocal of  7/11? A.11/7      B. 7/11 C. 18/11   D. 4/11 Correct Answer: A. 11/7 Explanation: Reciprocal means the numerator and denominator interchange. The reciprocal of  7/11 = 11/7   5. Which fraction is the greatest? A. 5/8   B. 7/12 C. 3/5    D. 11/20 Correct Answer: A. 5/8 Explanation: 5/8=0.625 7/12=0.5833 3/5=0.6 11/20=0.55 Largest = 5/8 6. Find 4/9 ÷ 2/3. A. 2/3   B. 1/2 C. 3/2  D. 4/3 Correct Answer: A. 2/3 Explanation: 4/9 ÷ 2/3 = 4/9 × 3/2                       =2/3 Shortcut Trick: Division of fractions = Multiply by the reciprocal. SSC CGL Number System MCQs with Answers & Tricks 2026 7. If x/15} =4/5 then x = ? A. 10     B. 11 C 12   D. 14 Correct Answer: C. 12 Explanation: x/15} =4/5 x= (4/5)  × 15 =12 8. A number is multiplied by 3/5 and becomes 36. The number is: A.50 B. 60 C. 72 D. 90 Correct Answer: B. 60 Explanation:  Let the number = x x × (3/5) =36 x = 36 ×5/3= 60 Shortcut Trick: Multiply by the reciprocal. SSC CGL Fractions MCQs 9. What fraction of an hour is 20 minutes? A.1/2 B. 1/3 C. 1/4 D. 2/5 Correct Answer: B. 1/3 Explanation:  60 minutes = 1 hours   1 minute = 1/60 hours   20 minutes = 20/60 hours                           = 1/3  hours 10. Simplify: 5/6 + 7/9 A. 29/18  B. 31/18 C. 25/18    D. 23/18 Correct Answer: A. 29/18 Explanation: LCM = 18  5/6 + 7/9 = (15 + 14)/18                       = 29/18 11. The fraction equivalent to 9 /12 is: A. 2/3  B. 3/4 C.4/5  D. 5/6 Correct Answer: B. 3/4 Explanation:   9/12 = 3/4 12. If 3/7 of a number is 27, find the number. A.49       B. 56 C. 63      D. 72 Correct Answer: C. 63 Explanation:  Let the number = x 3/7 of x = 27 x = 27 × (7/3) =63 SSC CGL Fractions MCQs 13. Find the value of: 2/5 + 3/10 – 1/4 A. 9/20     B. 11/20 C.7/20    D. 13/20 Correct Answer: A. 9/20 Explanation: LCM (4, 5, 10) = 20  2/5 + 3/10 – 1/4  = 8/20 + 6/20 –  5/20                                       = 9/20 14. Which fraction lies exactly midway between 1/3 and 2/3? A. 1/2  B. 5/9 C. 7/12  D. 3/5 Correct Answer: A. 1/2 Explanation: The fraction lies exactly midway between 1/3 and 2/3   = 1/2(1/3 + 2/3) = 1/2(1 ) = 1/2 SSC CGL Fractions MCQs 15. If 4/5 of a quantity is 96, then the quantity is: A. 100     B. 110 C. 120     D. 125 Correct Answer: C. 120 Explanation:  Quantity = 96 × 5/4 =120 16. What is the product of the reciprocal of 3/7 and 14/9? A. 98/27      B. 28/27 C. 14/21     D. 49/27 Correct Answer: A. 98/27 Explanation: Reciprocal of 3/7 = 7/3  3/7 × 14/9 = 98/27 17. If 2/5 of a class are girls and there are 24 girls, the total number of students is: A. 50       B. 55 C. 60      D. 65 Correct Answer: C. 60 Explanation:  Let total Students = x 2/5 of x =24  2/5 × x = 24   x = 24 × 2/5 x =60 18. Find: 7/8 – 5/16 A. 7/16  B. 9/16 C. 11/16  D. 13/16 Correct Answer: B. 9/16 Explanation:      7/8 – 5/16 = (14 – 5)/16                             = 9/16   19. A tank is filled to 3/4 of its capacity. If 120 litres represent the filled portion, the total capacity is: A. 140 L  B. 150 L C. 160 L  D. 180 L Correct Answer: C. 160 L Explanation: Let the total capacity of the tank = x L 3/4 of x = 1=120 3/4  × x = 120 x = 120 × 4/3 =160 20. Evaluate: 1/2 + 1/3 +1/4 A. 11/12  B. 13/12 C. 17/12  D. 19/12 Correct Answer: B. 13/12 Explanation: LCM (2, 3, 4) = 12  1/2 + 1/3 +1/4 = 6/12 + 4/12 + 3/12 =  13/12 SSC CGL Fractions MCQs   SSC CGL Quantitative Aptitude Topics Number System Decimals Fractions Percentages Ratio & proportion Square roots Averages Interest (simple & compound) Profit & loss Discount Partnerships Mixture & Alligation Time & speed & distance Time & work Advanced math includes basic algebraic identities Elementary surds Linear equations Triangles Circles Regular polygons, right prisms, cones, cylinders, spheres Trigonometry YOUTUBE   If you are interested in reading stories, CLICK HERE

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SSC CGL Decimals MCQs

Powerful SSC CGL Decimals MCQs with Answers & Explanations 26

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SSC CGL Decimals MCQs with Answers & Explanations 2026 Practice SSC CGL Decimals MCQs with detailed answers, explanations, shortcut tricks, and exam-oriented questions based on the latest SSC CGL pattern. 1. What is the value of 0.75 × 0.4? A. 0.03   B. 0.3 C. 3        D. 0.12 Correct Answer: B Explanation: 75 × 4 = 300 Total decimal places = 2 + 1 = 3 ⇒ 300/1000 = 0.3 Shortcut Trick: Ignore decimals first, then place decimal digits. 2. Which of the following is the largest? A. 0.909               B. 0.99 C. 0.9099            D. 0.9009 Correct Answer: B Explanation: 0.99 = 0.9900,        which is greater than all others. Shortcut Trick: Equalise decimal places and compare digit by digit. 3. 4.5 ÷ 0.15 = ? A. 3           B. 30 C. 300       D. 0.3 Correct Answer: B Explanation: 4.5 ÷ 0.15        = 450 ÷ 15        = 30 Shortcut Trick: Multiply both numbers by 100 to remove decimals. SSC CGL Decimals MCQs 4. Express 0.125 as a fraction. A. ¼            B. 1/8 C. 1/16        D. 3/8 Correct Answer: B Explanation: 0.125 = 125/1000 = 1/8 Shortcut Trick: Remember common decimal-fraction equivalents. 5. What is 12.5% of 0.8? A. 0.01     B. 0.1 C. 1           D. 10 Correct Answer: B Explanation: 12.5% = 1/8 0.8 × 1/8 = 0.1 Shortcut Trick: Convert 12.5% directly into 1/8. 6. The value of 3.6 + 0.36 + 0.036 is: A. 3.996        B. 3.96 C. 39.96        D. 4.006 Correct Answer: A Explanation: 3.6 + 0.36 = 3.96 3.96 + 0.036 = 3.996 Shortcut Trick: Align decimal points vertically. 7. Which decimal is equal to 7/20? A. 0.25         B. 0.35 C. 0.45         D. 0.75 Correct Answer: B Explanation: 7 ÷ 20 = 0.35 Shortcut Trick: Multiply the numerator and denominator by 5. 8. 0.04 × 0.5 = ? A. 0.2            B. 0.02 C. 0.002        D. 2 Correct Answer: B Explanation: 4 × 5 = 20 Three decimal places total. ⇒ 0.020 = 0.02 Shortcut Trick: Multiplying by 0.5 means taking half. 9. The decimal representation of 5/8 is: A. 0.625          B. 0.825 C. 0.525          D. 0.725 Correct Answer: A Explanation: 5 ÷ 8 = 0.625 Shortcut Trick: Memorise common SSC fractions. SSC CGL Decimals MCQs   10. What is the value of 0.999 + 0.001? A. 1             B. 0.1 C. 10           D. 0.9991 Correct Answer: A Explanation: 0.999 + 0.001 = 1.000 Shortcut Trick: Observe complementary decimals. 11. What is the value of 2.5 × 1.2? A. 2.0     B. 3.0 C. 3.5     D. 4.0 Correct Answer: B. 3.0 Explanation: 2.5 × 1.2 = (25 × 12)/100 = 300/100 = 3.0 Shortcut Trick: Ignore decimals first: 25 × 12 = 300. Then place two decimal digits. 12. Arrange the following in ascending order: 0.7, 0.07, 0.707, 0.077 A. 0.07, 0.077, 0.7, 0.707 B. 0.077, 0.07, 0.707, 0.7 C. 0.07, 0.7, 0.077, 0.707 D. 0.707, 0.7, 0.077, 0.07 Correct Answer: A Explanation: Write equal decimal places: 0.070, 0.077, 0.700, 0.707 Ascending order: 0.07 < 0.077 < 0.7 < 0.707 Shortcut Trick: Equalise decimal places before comparing. Difficulty Level: Easy 13. The value of 0.625 ÷ 0.25 is: A. 2.5              B. 25 C. 0.25            D. 1.25 Correct Answer: A. 2.5 Explanation: 0.625 ÷ 0.25 = 625/250 = 2.5 Shortcut Trick: Multiply both numbers by 1000. Difficulty Level: Medium 14. Convert 3.75 into a mixed fraction. A. 3¼              B. 3½ C. 3¾              D. 4¼ Correct Answer: C. 3¾ Explanation: 3.75 = 3 + 75/100 = 3 + 3/4 = 3¾ Shortcut Trick: 75/100 always reduces to 3/4. 15. What is 0.008 × 1000? A. 0.8          B. 8 C. 80           D. 800 Correct Answer: B. 8 Explanation: Multiplying by 1000 shifts the decimal point three places to the right. 0.008 → 8 Shortcut Trick: Count the zeros in the multiplier. 16. Which fraction is equivalent to 0.875? A. 5/8           B. 7/8 C. 3/8           D. 9/8 Correct Answer: B. 7/8 Explanation: 0.875 = 875/1000 = 7/8 Shortcut Trick: Remember: 0.875 = 87.5% = 7/8. 17. The difference between 5.03 and 4.987 is: A. 0.043              B. 0.053 C. 0.143              D. 1.043 Correct Answer: A. 0.043 Explanation: 5.030 − 4.987 = 0.043 Shortcut Trick: Align decimal points carefully. 18. A shopkeeper bought an item for ₹12.75 and sold it for ₹15.25. What is the profit? A. ₹1.50           B. ₹2.25 C. ₹2.50          D. ₹3.50 Correct Answer: C. ₹2.50 Explanation: Profit = SP − CP = 15.25 − 12.75 = ₹2.50 Shortcut Trick: Subtract rupees and paise separately. 19. What is the value of 0.04²? A. 0.0016         B. 0.016 C. 0.16             D. 0.00016 Correct Answer: A. 0.0016 Explanation: 0.04 × 0.04 = 4 × 4 = 16 Total decimal places = 4 = 0.0016 Shortcut Trick: Square the number, ignoring decimals, then place double decimal digits. 20. If x = 0.4 and y = 0.04, then x ÷ y = ? A. 1             B. 10 C. 100         D. 0.1 Correct Answer: B. 10 Explanation: 0.4 ÷ 0.04 = 40 ÷ 4 = 10 Shortcut Trick: Move both decimals equally to remove decimal points. SSC CGL Quick Decimal Facts SSC CGL Decimals MCQs   21. What

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SSC CGL అంటే ఏమిటి

SSC CGL అంటే ఏమిటి? పూర్తి వివరాలు, అర్హతలు, పరీక్ష విధానం 2026

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SSC CGL అంటే ఏమిటి? పూర్తి వివరాలు, అర్హతలు, పరీక్ష విధానం 2026   SSC CGL అంటే ఏమిటి? SSC CGL పూర్తి పేరు, అర్హతలు, వయోపరిమితి, పరీక్ష విధానం, సిలబస్, జీతం, ఉద్యోగాలు మరియు 2026 SSC CGL పరీక్షకు సంబంధించిన పూర్తి వివరాలను తెలుగులో తెలుసుకోండి SSC CGL అంటే ఏమిటి? SSC CGL (Staff Selection Commission – Combined Graduate Level Examination) అనేది భారత ప్రభుత్వంలోని వివిధ Group-B మరియు Group-C ఉద్యోగాల భర్తీ కోసం నిర్వహించే అత్యంత ప్రతిష్టాత్మకమైన పోటీ పరీక్ష. ఈ పరీక్షను Staff Selection Commission నిర్వహిస్తుంది. SSC CGL ద్వారా వచ్చే ఉద్యోగాలు   SSC CGL ద్వారా క్రింది ఉద్యోగాలకు ఎంపిక చేస్తారు: Income Tax Inspector Central Excise Inspector GST Inspector Assistant Section Officer (ASO) Auditor Accountant Tax Assistant Junior Statistical Officer (JSO) Assistant Audit Officer (AAO) Preventive Officer Examiner ఇవి కేంద్ర ప్రభుత్వ మంత్రిత్వ శాఖలు, విభాగాలు మరియు సంస్థల్లో ఉంటాయి.   అర్హత (Eligibility)   విద్యార్హత ఏదైనా గుర్తింపు పొందిన విశ్వవిద్యాలయం నుండి డిగ్రీ (Bachelor’s Degree) పూర్తి చేసి ఉండాలి. కొన్ని పోస్టులకు Statistics లేదా Mathematics అవసరం ఉంటుంది. వయస్సు సాధారణంగా 18 నుండి 32 సంవత్సరాలు పోస్టు ఆధారంగా మారవచ్చు. రిజర్వేషన్ ప్రకారం వయోపరిమితిలో సడలింపులు ఉంటాయి. వయో సడలింపులు       SSC CGL పరీక్ష విధానం ప్రస్తుతం SSC CGL రెండు దశల్లో నిర్వహించబడుతుంది: Tier-I (Qualifying Exam) Tier-II (Merit Exam) రెండూ Computer Based Test (CBT) విధానంలో నిర్వహిస్తారు.   TIER-I EXAM  మొత్తం మార్కులు: 200 సమయం: 60 నిమిషాలు   మార్కింగ్ స్కీమ్ సరైన సమాధానం = +2 మార్కులు తప్పు సమాధానం = -0.50 మార్కులు (Negative Marking) ముఖ్యమైన విషయం Tier-I కేవలం Qualifying Nature. ఈ మార్కులు Final Merit లో లెక్కించరు. Tier-II కు అర్హత పొందడానికి మాత్రమే ఉపయోగిస్తారు   TIER-II EXAM Tier-II Final Selection నిర్ణయించే ముఖ్యమైన పరీక్ష. Paper-I (అందరికీ తప్పనిసరి) Module-I Mathematical Abilities Reasoning & General Intelligence Module-II English Language & Comprehension General Awareness Module-III Computer Knowledge Test Module-IV DEST (Data Entry Speed Test) ప్రత్యేక పోస్టుల కోసం Paper-II → Junior Statistical Officer (JSO) Paper-III → Assistant Audit Officer (AAO) పోస్టులకు మాత్రమే. SSC CGL సిలబస్ Quantitative Aptitude Number System Simplification Percentages Profit & Loss Ratio & Proportion Time & Work Time & Distance Algebra Geometry Mensuration Statistics Reasoning Analogy Classification Series Coding-Decoding Blood Relations Puzzle Direction Sense English Grammar Vocabulary Synonyms Antonyms Reading Comprehension Error Detection General Awareness History Geography Polity Economics Science Current Affairs   SSC CGL పరీక్ష ఎలా నిర్వహిస్తారు? Step 1: Notification SSC ప్రతి సంవత్సరం నోటిఫికేషన్ విడుదల చేస్తుంది. Step 2: Online Application అభ్యర్థులు ఆన్లైన్‌లో దరఖాస్తు చేయాలి. Step 3: Admit Card పరీక్షకు ముందు Admit Card విడుదల చేస్తారు. Step 4: Tier-I Exam CBT విధానంలో పరీక్ష నిర్వహిస్తారు. Step 5: Tier-I Result Cut-off మార్కులు వచ్చిన వారు Tier-II కి అర్హులు. Step 6: Tier-II Exam Final Selection కోసం ప్రధాన పరీక్ష. Step 7: Skill Test (DEST) అవసరమైన పోస్టులకు నిర్వహిస్తారు. Step 8: Document Verification సర్టిఫికెట్ల పరిశీలన. Step 9: Final Merit List Tier-II మార్కుల ఆధారంగా Final Selection జరుగుతుంది. SSC CGL జీతం (Salary) SSC CGL ద్వారా ఎంపికైన అభ్యర్థులకు 7వ వేతన సంఘం ప్రకారం జీతం లభిస్తుంది.   అదనంగా: DA HRA TA Medical Benefits Pension Benefits లభిస్తాయి. SSC CGL ఎంపిక ప్రక్రియ Tier-I పరీక్ష Tier-II పరీక్ష Document Verification Final Merit List SSC CGL పరీక్ష ప్రయోజనాలు కేంద్ర ప్రభుత్వ ఉద్యోగం మంచి జీతం ఉద్యోగ భద్రత పదోన్నతుల అవకాశాలు పెన్షన్ మరియు ఇతర ప్రభుత్వ సౌకర్యాలు దేశవ్యాప్తంగా ఉద్యోగ అవకాశాలు SSC CGL కోసం ఎలా సిద్ధం కావాలి? SSC సిలబస్ పూర్తిగా తెలుసుకోండి. గత సంవత్సర ప్రశ్నపత్రాలు ప్రాక్టీస్ చేయండి. ప్రతిరోజూ Quantitative Aptitude సాధన చేయండి. Current Affairs చదవండి. Mock Tests రాయండి. టైమ్ మేనేజ్‌మెంట్‌పై దృష్టి పెట్టండి. ముగింపు SSC CGL అంటే ఏమిటి? అనే ప్రశ్నకు సమాధానం చెప్పాలంటే, డిగ్రీ పూర్తి చేసిన అభ్యర్థులకు కేంద్ర ప్రభుత్వంలో ప్రతిష్టాత్మక ఉద్యోగాలను అందించే అత్యంత ప్రజాదరణ పొందిన పోటీ పరీక్ష SSC CGL. సరైన ప్రణాళికతో సిద్ధమైతే మంచి ప్రభుత్వ ఉద్యోగాన్ని పొందే అవకాశం ఉంటుంది. YOUTUBE

SSC CGL అంటే ఏమిటి? పూర్తి వివరాలు, అర్హతలు, పరీక్ష విధానం 2026 Read More »

SSC CGL Number System MCQs

SSC CGL Number System MCQs with Answers & Tricks 2026

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SSC CGL Number System MCQs with Answers & Tricks 2026 Practice the best SSC CGL Number System MCQs with answers, shortcut tricks, detailed explanations, and SSC exam-level questions for 2026 preparation. 1. Which of the following numbers is divisible by 11? A. 34562                B. 56782 C. 72831                 D. 91872    Correct Answer: B     Explanation: (5+7+2) − (6+8+8) = 14 − 22 = -8 For 56782: (5+7+2) =14, (6+8)=14  ⇒ Difference = 0      Shortcut Trick: Sum of alternate digits must differ by 0 or a multiple of 11. 2. What is the remainder when 987654 is divided by 9? A. 2            B. 3 C. 4             D. 6 Correct Answer: D Explanation: Sum of digits = 9+8+7+6+5+4 = 39 39 ÷ 9 leaves a remainder of 3. Since 987654 = 9×109739 + 3 3. How many prime numbers lie between 20 and 40? A. 4            B. 5 C. 6            D. 7 Correct Answer: A Explanation: Primes: 23, 29, 31, 37 Total = 4 4. The HCF of 72 and 120 is: A. 12             B. 24 C. 36            D. 48  Correct Answer: B  Explanation: 72 = 2³ × 3² 120 = 2³ × 3 × 5 HCF = 2³ × 3 = 24  Shortcut Trick: Take common factors with minimum powers. 5. The LCM of 18 and 24 is: A. 48              B. 60 C. 72              D. 96   Correct Answer: C  Explanation: 18 = 2 × 3² 24 = 2³ × 3 LCM = 2³ × 3² = 72 6. Which of the following is a perfect square? A. 784              B. 786 C. 788              D. 790 Correct Answer: A Explanation: 28² = 784 Shortcut Trick: Last digit 4 and square root 28. 7. What is the unit digit of 7⁵³? A. 1              B. 3 C. 7              D. 9 Correct Answer: C Explanation: Cycle of 7: 7,9,3,1 53 ÷ 4 leaves a remainder 1 Unit digit = 7 Actually remainder = 1 ⇒ answer should be 7. 8. Find the number of factors of 360. A. 20           B. 24 C. 28           D. 30 Correct Answer: B Explanation:  360 = 2³ × 3² × 5¹ Factors = (3+1)(2+1)(1+1) = 4×3×2 = 24 9. Which number is divisible by 3? A. 84571               B. 91284 C. 65321             D. 74210 Correct Answer: B Explanation: 9+1+2+8+4 = 24 24 is divisible by 3. 10. The smallest prime number is: A. 0               B. 1 C. 2               D. 3 Correct Answer: C Explanation: 2 is the only even prime number. 11. What is the remainder when 2¹⁰ is divided by 7? A. 1          B. 2 C. 3          D. 4 Correct Answer: B Explanation: 2³ = 8 ≡1 (mod 7) 2¹⁰ = (2³)³ × 2 = 1×2 = 2  12. The product of two co-prime numbers is 221. One number is 13. The other is: A. 15                  B. 16 C. 17                  D. 19 Correct Answer: C Explanation: 221 ÷ 13 = 17   13. Which of the following is not a prime number? A. 29            B. 31 C. 39           D. 41 Correct Answer: C Explanation: 39 = 3 × 13 14. What is the square root of 1764? A. 40         B. 41 C. 42          D. 44 Correct Answer: C Explanation: 42² = 1764   15. If HCF = 12 and LCM = 720 of two numbers, and one number is 144, the other number is: A. 48             B. 60 C. 72             D. 80 Correct Answer: B Explanation: Product of numbers = HCF × LCM = 12 × 720 = 8640 Other number = 8640 ÷ 144 = 60 Shortcut Trick: a × b = HCF × LCM SSC CGL Number System MCQs 16. The cube root of 2197 is: A. 11               B. 12 C. 13               D. 14 Correct Answer: C Explanation: 13³ = 2197   17. Find the least number divisible by 2, 3, 4, 5 and 6. A. 30          B. 60 C. 90          D. 120 Correct Answer: B Explanation: LCM(2,3,4,5,6)=60   18. Which of the following numbers is divisible by 8? A. 3452         B. 5466 C. 7822         D. 9126 Correct Answer: A Explanation: Last three digits = 452 452 ÷ 8 = 56.5 Actually, 3456 would work, not 3452. Checking all: 3452 ÷ 8 = 431.5 5466 ÷ 8 7822 ÷ 8 9126 ÷ 8 (No correct option) SSC-style corrected answer: 3456 would be divisible by 8. SSC CGL Number System MCQs 19. The sum of the first 20 natural numbers is: A. 190       B. 200 C. 210       D. 220 Correct Answer: C Explanation: n(n+1)/2 20×21/2 = 210   20. How many zeros are there at the end of 50!? A. 10        B. 12 C. 14         D. 15 Correct Answer: B Explanation: 50/5 =10 50/25 =2 Total =12 Shortcut Trick: Count powers of 5.   21. The greatest 4-digit number divisible by 15 is: A. 9975       

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TS POLYCET 2023 Question Paper Solutions

TS POLYCET 2023 Question Paper Solutions – Complete Maths Answers PDF

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TS POLYCET 2023 Question Paper Solutions – Complete Maths Answers PDF Are you searching for TS POLYCET 2023 Question Paper Solutions? You are in the right place. Practising previous year question papers is one of the smartest ways to score high marks in the TS POLYCET exam. It helps students understand the exam pattern, important topics, and time management. In this post, we provide complete and easy-to-understand solutions for the TS POLYCET 2023 Maths Question Paper, with clear step-by-step explanations. The TS POLYCET 2023 question paper solutions are highly useful for every student preparing for the upcoming exams. Solve the paper sincerely and compare answers with detailed solutions to improve your score. Stay connected for more previous papers, mock tests, and chapter-wise maths solutions. Real Numbers   1. If ‘n’ is a prime number, then √n is (1) Prime number          (2) Composite number (3) Rational number      (4) irrational number     ‘n’ అనేది ఓకే ప్రధాన సంక్య అయిన √n   అనేది     (1)  ప్రధాన సంఖ్య                             (2) సంయుక్త  సంఖ్య      (3) అకరణీయ సంఖ్య                   (4)  కరణీయ సంఖ్య Answer: (4) Solution:   If ‘n’ is a prime number, then √n  is an irrational number 2.Among 1/2, 1/3, 1/4, 1/5 the non-terminating decimal is 1/2, 1/3, 1/4, 1/5 అనే సంఖ్యలలో అంతం కాని దశాంశం   (1) 1/2          (2) 1/3      (3) 1/4       (4) 1/5 Answer: (2) Solution: A fraction in its simplest form has a terminating decimal if the prime factors of its denominator are only 2, 5, or both. If the denominator has any other prime factor, it results in a non-terminating repeating decimal. 3. The value of log625(5) l og625(5) యొక్క విలువ (1) 1/2          (2) 1/4      (3) 1/3       (4) 1/5 Answer: (2) Solution: let log625(5) =  x 5 = 625x 5 = (54)x 5 = 54x 1 = 4x x = 1/4 4. √2 + √3 is (1) Rational number           (2) Irrational number (3) Prime number        (4) composite number √2 + √3 is అనునది ఒక (1) అకరణీయ సంఖ్య              (2) కరణీయ సంఖ్య (3) ప్రధాన సంఖ్య                    (4) సంయుక్త  సంఖ్య Answer: (2) Solution:  √2 + √3 is an irrational number 5. HCF of 7, 8, 9 is 7, 8, 9  ల గా.సా.భా. (1) 9             (2) 7                      (3) 1                  (4)  2 Answer: (3) Solution:  factors of 7 = 1, 7 factors of 8 = 1, 2, 4, 8 factors of 9 = 1, 3, 0039 HCF 0f 7, 8, 9 = 1     Sets 1.   If A={P, O, L, Y, T, E,C, H, N, I} and B = {E, X, A, M}then A∩B = A={P, O, L, Y, T, E,C, H, N, I} మరియు  B = {E, X, A, M}అయితే, A∩B = (1) {P}               (2) {E}                      (3) {X}                       (4) {T} Answer: (2) Solution:  Given A = {P, O, L, Y, T, E, C, H, N, I} and B = {E, X, A, M} A∩B = {P, O, L, Y, T, E, C, H, N, I}∩{E, X, A, M} = {E} 2.   If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7} then A – B = A = {1, 2, 3, 4, 5} మరియు  B = {4, 5, 6, 7} అయితే, A – B = (1) {1, 2, 3}         (2) {3, 4, 5}         (3) {5, 6, 7}       (4) {2, 3, 4} Answer: (1) Solution:   Given A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7} A – B = {1, 2, 3, 4, 5} – {4, 5, 6, 7} = {1, 2, 3}     Polynomials 1. Product of zeroes of polynomial 5×2 – 1 is  5×2 – 1 అనే వర్గ బహుపదీ శూన్యాల లబ్దము     (1) 1        (2) ½         (3) 1/5    (4) – 1/5 Answer: (4) Solution:  Given polynomial is 5×2 – 1 Product of zeroes = c/a = – 1/5 2. (x + a) is a factor of f(x), if   (x + a)  అనేది f(x) యొక్క కారణాంకం అయినచో  (1) f(a) = 0            (2) f(–a) = 0         (3) f(1/a) = 0        (4) f(– 1/a) = 0   Answer: (2)   Solution:    Given (x + a) is a factor of f(x),then f(–a) = 0 3. If α, β are the zeroes of the quadratic polynomial ax2 + bx + c, a≠0, then α2 + β2 = ax2 + bx + c, a≠0 అనే వర్గ బహుపది యొక్క శూన్యాలు α, β అయిన α2 + β2 =     (1)   (b2 + 2ac)      (2) (c2 + 2ab)   (3) (b2 – 2ac)        (4) (c2 – 2ab)    Answer: (2)    Solution: Given polynomial is ax2 + bx + c, a≠0 α + β = – b/a αβ = c/a α2+ β2 = (α + β)2 – 2αβ α2+ β2 = (– b/a)2 – 2(c/a) α2+ β2 =  b2/a2 – 2c/a α2+ β2 =   (b2 – 2ac)   Linear equations in Two Variables   1. If 5x + py + 8 = 0 and 10x + 15y + 12 = 0 has no solution, then p = 5x + py + 8 = 0 మరియు 10x + 15y + 12 = 0 అను సమీకరణాలకు సాధన లేనిచో, p విలువ (1) 15/2      (2) 13/2          (3) 7/2        (4) 5/2 Answer: (1) Solution:   Given 5x + py + 8 = 0 and 10x + 15y + 12 = 0 have no solution a1 = 5; b1 = p; c1 = 8 a2 = 10; b2 = 15; c2 = 12              p = 15/2 2. If ax + b = 0 then x =  ax + b = 0 అయిన, x విలువ (1) – a       (2) a     (3) b/a    (4) – b/a Answer: (4) Solution:    Given ax + b = 0 ⟹ ax = – b ⟹ x = – b/a 3. The solution of system of equations and is మరియు  సమీకరణాల సాధన   (1) (1/4, 1/3)     (2)  (1/3, 1/4)        (3) (1/2, 1/3)       (4) (1/3, 1/2)   Answer: (3) Solution:  Given equations are  and Let  = a and  = b ⟹2a + 3b= 13 and 5a – 4b = – 2                          a

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TG POLYCET 2024 Maths FIM

TG POLYCET 2024 Maths Question Paper with Solutions Guide

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TG POLYCET 2024 Maths Question Paper with Solutions Guide Get exam-ready with the TG POLYCET 2024 Maths Question Paper with Solutions. In this post, you’ll find the full maths question paper along with simple & easy step-by-step solutions. It helps students understand the concepts clearly, improve problem-solving skills, and gain confidence for the exam. A perfect resource for practice, quick revision, and better preparation to score high in TG POLYCET. Real Numbers 1. (6 + 5 √3) − (4 − 3 √3) is  (6 + 5 √3) − (4 − 3 √3) అనునది (1) Rational number (అకరణీయ సంఖ్య)  (2) Irrational number (కరణీయ సంఖ్య) (3) Natural number (సహజ సంఖ్య) (4) None of the above (పైవేవీ కావు) Answer: (2) Solution: (6 + 5 √3) − (4 − 3 √3) = 6 – 4 + 5√3 + 3 √3 = 2 + 8√3 2 + 8√3 is an irrational number 2. Which of the following rational numbers has a terminating decimal?   కింది వాటిలో ఏ అకరణీయ సంఖ్య అంతమయ్యే దశాంశాన్ని కలిగి ఉంటుంది?     (1) 7/250          (2) 16/225      (3) 5/18       (4) 2/21 Answer: (1) Solution:   in 7/250 =                          250 = 5 × 5× 5× 2 = 53 × 2 In 16/225 225 = 5 × 5× 3× 3= 52 × 32 In 5/18 18 = 2 × 3 × 3= 2× 32 × 2 In 2/21 225 = 3 × 7 In p/q of a rational number, if q is of the form 5m × 2n then it has a terminating decimal 3. H.C.F. of 2023, 2024, 2025 is 2023, 2024, 2025 ల యొక్క గ.సా.భా.  (1) 2024          (2) 2023      (3) 0       (4) 1 Answer: (1) Solution:  2023, 2024, 2025 have 1 as the common factor So, H.C.F. of 2023, 2024, 2025 is 1 4. The value of log6 2 + log 6 3 is: log6 2 + log 6 3 యొక్క విలువ:       (1) 0           (2) 1     (3) 2        (4) 3 Answer: (2) Solution:  log6 2 + log 6 3  = log6 (2 × 3)                                                   = log 6 6 = 1 5. Exponential form of log 𝑏 𝑎 = 𝑐 is:   log 𝑏 𝑎 = 𝑐 యొక్క ఘాత రూపము:         (1) ba = c       (2) ac = b      (3) ab = c      (4)  bc = a Answer: (4) Solution:   log 𝑏 𝑎 = 𝑐 ⇒ bc = a   6. The product of prime factors of 2024 is:  2024 యొక్క ప్రధాన కారణాంకాల లబ్ధము: (1)  11 × 23× 32         (2) 23 × 11 × 23 (3) 7 × 23× 23             (4) 23 × 112× 22 Answer: (2) Solution:                        2024 = 23 × 11 × 23   TG POLYCET 2024 Maths Question Paper with Solutions. Sets 1. If A = {1, 2, 3, 4, 5}, which of the following two sets are equal sets?   క్రింది రెండు సమితులలో ఏవి సమాన సమితులు? (1) A = {5, 6}, B = {5}           (2) A = {5, 6}, B = {5, 6, 7}  (3) A = {5, 6, 7}, B = {7, 5, 6}          (4) A = {5, 6, 8}, B = {5, 6, 7} Answer: (3) Solution:   Given A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7} A – B = {1, 2, 3, 4, 5} – {4, 5, 6, 7} = {1, 2, 3}      2. {0} is a set which has ______ elements. {0} అనేది ______ మూలకాలను కలిగి ఉన్న సమితి. (1) 0        (2) 1         (3) 4    (4) 3 Answer: (1) Solution:  {0} in this set, 0 as one element Number of elements in this set = 1 Polynomials 1. If P(x) = 11×8 − 5×6 + 4×4 − 7×2 + 6, then the degree of P(x)is: P(x) = 11×8 − 5×6 + 4×4 − 7×2 + 6 అయిన, P(x)యొక్క పరిమాణము:   (1) 8          (2) 6         (3) 4        (4) 2   Answer: (1)   Solution:  We know that the highest power of a given polynomial is called the degree of the polynomial               In the given polynomial, the highest power is 8 ∴ Degree of the given polynomial is 8 TG POLYCET 2024 Maths Question Paper with Solutions. 2. If − 1, − 2 are two zeros of a polynomial 2×3 + ax2 + bx − 2, then the values of a and b  are: 2×3 + ax2 + bx − 2, అను బహుపది యొక్క రెండు శూన్యాలు  − 1, − 2  అయిన, a మరియు  b యొక్క విలువలు: (1) 2, – 1           (2) –5, – 1           (3) 5, 1           (4) –2, – 1    Answer: (3)    Solution:  Let p(x) = 2×3 + ax2 + bx − 2 − 1 is the zero of a polynomial p(x) ⇒ p (− 1) = 0 ⇒2(− 1)3 + a (− 1)2 + b (− 1) – 2 = 0 ⇒− 2 + a − b – 2 = 0 ⇒ a − b – 4 = 0 ⇒ a − b = 4 ⇒ a = b + 4 -2 is the zero of a polynomial p(x) ⇒ p (− 2) = 0 ⇒2(− 2)3 + a (− 2)2 + b (− 2) – 2 = 0 ⇒ 2(−8) + a (4) − 2b – 2 = 0 ⇒ −16 + 4a − 2b – 2 = 0 ⇒ 4a − 2b – 18 = 0 ⇒ 2(2a − b – 9) = 0 ⇒ 2a − b – 9 ⇒ 2(b + 4) − b – 9 = 0 ⇒ 2b + 8 − b – 9 = 0 ⇒ b – 1 = 0 ⇒ b = 1 Now a = b + 4 = 1 + 4 = 5 a = 5 3. If 𝛼, 𝛽 are the zeros of the polynomial P (x ) = 3×2 − x − 4 , then  𝛼⋅𝛽 = P (x)  = 3×2 − x  − 4 అను బహుపది యొక్క శూన్యాలు 𝛼, 𝛽  అయిన,  𝛼⋅𝛽 = (1) − 4/3      (2) 4/3          (3) – 1/3        (4) 1/3 Answer: (1) Solution:   Given Polynomial is  P (x ) = 3×2 − x  − 4 a = 3, b

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