SSC CGL

SSC CGL (Staff Selection Commission Combined Graduate Level Examination) is one of India’s most prestigious government recruitment examinations conducted by the Staff Selection Commission for filling Group B and Group C posts in various Central Government ministries, departments, and organizations. The examination is open to graduates and offers opportunities in departments such as Income Tax, Customs, CBI, Audit & Accounts, Central Secretariat, and many more. SSC CGL is conducted through a multi-tier selection process that tests candidates’ Quantitative Aptitude, Reasoning, English Language, General Awareness, and Computer Knowledge. It is considered one of the largest and most competitive government job examinations in India due to its attractive salary, job security, promotion opportunities, and nationwide recruitment.
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SSC CGL Square Roots MCQs

Powerful SSC CGL Square Roots MCQs with Detailed Solutions 2026

SSC CGL /

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 Number System MCQs

SSC CGL Number System MCQs with Answers & Tricks 2026

SSC CGL /

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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