ICSE

ICSE Banking MCQS

10 th Maths ICSE Banking MCQS With Answers

10 Maths ICSE Banking MCQS With Answers ICSE Banking MCQS TS 10th class maths concept (E/M) ICSE Banking MCQS 1. Mr Gupta gets ₹ 6,455 at the end of the one year at the rate of 14% per annum in a recurring deposit account  find the monthly instalment A) ₹ 200 B) ₹ 600  C) ₹  500 D) ₹ 300   2. Rahul deposited ₹ 500 every month in a recurring deposit account for 2 years. If the bank pays interest at the rate of 7% per annum, then the amount he gets on maturity is A) ₹ 7865 B) ₹ 12875 C) ₹875 D) ₹13865 3.  Meena opens a recurring deposit account in a bank and deposits ₹ 600  for 20 months, find the maturity value of this account if the bank pays interest at the rate of 10% per annum A) ₹ 78650 B) ₹ 2350 C) ₹12350 D) ₹13050 Ts Inter Maths IA Concept   TS 6th Class Maths Concept   Visit My Youtube Channel:  Click  on below  logo      

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ICSE 8th Class Maths Concept

ICSE 8th Maths Concept| Basics In Maths

ICSE 8th Maths Concept ICSE 8th Maths Concept 3. SQUARES AND SQUARE ROOTS, CUBES AND CUBE ROOTS Square: A square number is a number raised to the power 2. The number obtained by multiplying the number by itself. Ex: – 1) square of 5 = 52 = 5 × 5 = 25, 2) square of 3 = 32 = 3× 3 = 9 ∗If a natural number p can be expressed as q2, where q is also natural, then p is called a square number. Ex: – 1,4,9, …etc. Test for a number to be a perfect square: If a number is expressed as the product of pairs of equal factors, then it is called a perfect square. Ex: – 36    Prime factors of 36 = 2× 2× 3× 3 36 can be expressed as the product of pairs of equal factors. ∴ 36 is a perfect square. Square Root: the square root of a number x is that number when multiplied by itself gives x as the product. The square root of x is denoted by Methods of Finding Square root of given Number Prime factorization method: – Steps: Resolve the given number into prime factors. Make pairs of similar factors. The product of prime factors, choosing one out of every pair gives the square root of the given number. Ex: – To find the square root of 16 Prim factors of 16 = 2 ×2× 2× 2 = 2 × 2 = 4 ∴ square root of 16 = 4 Division method: – Steps: Mark off the digits in pairs starting with the unit place. Each pair and remaining one digit are called a period. Think of the largest number whose square is equal to or just less than the first period. Take this number as the divisor as well as quotient. Subtract the product of divisor and quotient from the first period and bring down the next period to the right of the remainder. this becomes the new dividend. Now, the new divisor is obtained by taking twice the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient, chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend. Repeat steps 2, 3, and 4 till all the periods have been taken up. Thus, the obtained quotient is the required square root. Ex: – To find the square root of 225 Properties of a perfect square: 1. The square of an even number is always an even number. Ex: – 22 = 4 (4 is even), 62 = 36 (36 is even), here 2, 6 are an even number. 2. The square of an odd number is always an odd number. Ex: – 32 = 9 (9 is even), 152 = 225 (225 is even), here 3, 15 are an odd number. 3. The square of a proper fraction is a proper fraction less than the given fraction. Ex: – 4. The square of decimal fraction less than 1 is smaller than the given decimal. Ex: – (0.3)2 = 0.09 < 0.03. 5. A number ending with 2, 3, 7, or 8 is never a perfect square. Ex: – 72, 58, 23 are not perfect squares. 6. A number ending with an odd no. of zeros is never a perfect square Ex: – 20, 120,1000 and so on. The square root of a number in decimal form Make the no. of decimal places even, by affixing a zero, if necessary. Now periods and find out the square root by the long division method. Put the decimal point in the square root as soon as the integral part is exhausted. Ex: – To find the square root of 79.21 The square root of a decimal number which is not perfect square: if the square root is required to correct up to two places of decimal, we shall find it up 3 places of decimal and then round it off up to two decimal places. if the square root is required to correct up to three places of decimal, we shall find it up 4 places of decimal and then round it off up to three decimal places. Ex: – To find the square root of 0.8 up to two decimal places ICSE 8th Maths Concept Cube of a number: The cube of a number is that number raised to the power 3. Ex: – cube of 0.3 = 0.33 = 0.027 Cube of 2 = 23 = 8 Perfect cube: If a number is a perfect cube, then it can be written as the cube of some natural numbers. Ex: – 1, 8, 27, and so on. Cube root: The cube root of a number x is that number which when multiplied by itself three times gives x as the product. Cube root of x is denoted by   ICSE 8th Maths Concept Methods of finding the cube root of the given Number Prime factorisation method: – Steps: Resolve the given number into prime factors. Make triplets of similar factors. The product of prime factors, choosing one out of every triplet gives the cube root of the given number. Ex: – 27 Prime factors of 27 = 3×3×3 = 3 ∴ cube root of 27 = 3 Test for a number to be a perfect cube: A given number is a perfect cube if it can be expressed as the product of triplets of equal factors. Ex: – 2744  Prime factors of 2744 = 2×2×2 × 7×7×7 ∴ 2744 is a perfect cube. Visit my YouTube Channel: Click on the logo below

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ICSE 9th Class Maths Concept

ICSE Class 9 Maths Made Easy: From Confusion to Confidence

ICSE Class 9 Maths Made Easy ICSE Class 9 Maths 9th Class Maths Concept: This note is prepared by the Basics in Maths team.These notes help ICSE 9th class Maths students develop interest in mathematics and remove fear. These notes cover all the topics covered in the ICSE 9th class Maths syllabus and include plenty of formulae and concepts to help you solve all the types of ICSE 9th Math problems appear in CBSE board and entrance examinations ICSE Class 9 Maths Made Easy 1. RATIONAL AND IRRATIONAL NUMBERS Natural numbers: counting numbers 1, 2, 3… called Natural numbers.The symbol N represents natural numbers. N = {1, 2, 3…} Whole numbers: Natural numbers with 0 form whole numbers. The symbol W represents whole numbers. W = {0, 1, 2, 3…} Integers: Integers include zero, whole numbers greater than zero, and whole numbers less than zero. They are represented by I or Z. Z = {…-3, -2, -1, 0, 1, 2, 3…} Rational number Any number expressed as p/q, with p and q as integers and q ≠ 0, is known as a rational number. The symbol used is Q. ∗ A rational number may have both its numerator and denominator positive or negative. For convenience, the denominator is assumed not to be negative. Ex:    can be written as             but our convenience, we can take Equal rational numbers: For any 4 integers a, b, c, and d (b, d ≠ 0), we have  ⇒ ad = bc The order of Rational numbers: If  are two rational numbers such that b> 0 and d > 0 then  ⇒ ad > bc Absolute value of rational numbers: The absolute value of a rational number is always positive. The absolute value of   is denoted by . Ex: – absolute value of To find a rational number between given numbers: Mean method: – A rational number between two numbers a and b is   Ex: – insert two rational numbers between 1 and 2 1 <   < 2   ⟹     1 <    < 2 1 <  < 2   ⟹   1 <   2 To rational numbers in a single step: – Ex:- insert two rational numbers between 1 and 2 To find two rational numbers, we can use 1 and 2 as rational numbers with the same denominator, 3 (∵ 1 + 2 = 3) 1 =     and 2 =   Note: – There are infinitely many rational numbers between two numbers. The decimal form of rational numbers ∗ A rational number is written either as a terminating decimal or as a non-terminating repeating decimal. Converting decimal form into   the form: 1. Terminating decimals: – 1.2 = 1.35 = 2. Non-Terminating repeating decimals: – Irrational numbers: The numbers which are not written in the form of  , where p, q are integers, and q ≠ 0 are called rational numbers. Rational numbers are denoted by QI or S. Every irrational number is expressed as a non-terminating, non-repeating decimal. Ex:- and so on. Calculation of square roots: There is a reference to irrationals in the calculation of square roots in the Sulba Sutra. Procedure for finding value: Visit my YouTube Channel: Click on Below Logo

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ICSE 10th Class Maths Concept

ICSE X Class Maths Concept

ICSE X Class Maths ICSE X Class Maths Concept designed by the ‘Basics in Maths’ team. These notes to do help the ICSE 10th class Maths students fall in love with mathematics and overcome their fear. These notes cover all the topics covered in the ICSE 10th class Maths syllabus and include plenty of formulae and concept to help you solve all the types of 10th class Mathematics problems asked in the ICSE board and entrance examinations.  1. Goods and Service Tax Two types of taxes in the Indian Government: 1.Direct taxes: – These are the taxes paid by an organisation or individual directly to the government. These include Income tax, Capital gain tax and Corporate tax. 2.Indirect taxes: – These are the taxes on goods and services paid by the customer, collected by an individual or an organisation and deposited with the Government. Earlier there were several indirect taxes levied by the central and state Governments. Goods and Service Tax (GST): GST is a comprehensive indirect tax for the whole nation. It makes India one unified common market.  Registration under GST: Any individual or organisation that has an annual turnover of more than ₹ 20 lakh is to be registered under GST. Input and Output GST: For any individual or organisation, the GST paid on purchases is called the ‘Input GST’ and the GST collection on sale of goods is called the ‘Output GST’. The input GST is set off against the output GST and the difference between the two is payable in the Government account. One currency one tax: There is a uniform GST rate on any particular goods or services across all states and Union Territories of India. This is called ‘One currency one tax’. Note: Assam was the first state to implement GST and Jammu & Kashmir was the last. GST rate slabs: However, the tax on gold is kept at 3% and on rough precious and semi-precious is kept at 0.25%. The multitier GST tax rate system in India has been developed keeping in mind that essential commodities should be taxed less than luxury goods. Benefits of GST for Traders: • Simple tax system. • Elimination of multiplicity of taxes. • Development of a common market nation-wide. • Reduction of cascading effect. • Lower taxes result in the reduction of costs making in the domestic market. Benefits of GST for Consumers: • Single and transparent System. • Elimination of cascading effect has resulted in the reduction in the costs of goods and services. • Increase in purchasing power and savings. Benefits of GST for Traders: • Single tax system, simple and easy to administer. • Higher revenue efficiency. • Better control on leakage and tax evasion. Types of GST in India Central GST (CGST): For any intrastate supply half of the GST collected as the output GST is deposited with the Central Governments as CGST. State GST or Union Territory GST (SGST/UGST): For any local supply (supply with in the same state or Union Territory) half of the GST is deposited with the respective state or Union Territory Government as the beneficiary. This is called SGST/UGST. Integrated GST (IGST): The GST levied on the supply of goods or services in the case of interstate trade within India or in the case of exports/imports is known as IGST. Reverse charge Mechanism: There are cases where the chargeability gets reversed, that is the receiver becomes liable to pay the tax and deposit it to the Government Account. Composition shame: The composition is meant for small dealers and service providers with an annual turnover less than ₹ 1.5 crores and also for Restaurant service providers. Under this scheme the rates of GST are: Input Tax Credit (ITC)     When a dealer sells his goods, he charges the output GST from his customer which he has to deposit in the government account, but in running his business he had paid input GST on the goods he had availed. This input GST, he utilizes as Input Tax credit and deposits the exes amount of output GST with the Government. Input Tax credit is a provision of reducing the GST already paid on inputs in order to avoid the cascading of taxes. GST payable = Output GST – ITC Claiming ITC: A dealer registered under GST can claim ITC only if: He possesses the tax invoice. He has received the said goods/services He has filed the returns. The tax paid by him has been paid to the government by his supplier. Utilization of ITC: The Amount of ITC available to any registered dealer shall be utilized to reduce the out put tax liability in the sequence shown in the table. E – ledgers under GST: An E – ledger is an electronic form of a pass book available to all GST registrants on the GST portal. These are of three types: (i) Electric cash ledger (ii) Electric credit ledger and (iii) Electric Liability Register (i) Electric cash ledger: It contains the amounts of GST deposited in each to the government. (ii) Electric credit ledger: It contains the balance of ITC available to the dealer. (iii) Electric credit ledger: It contains all the Tax liability of the dealer. GST Returns: These are the information provided from time to time by the dealer to the Government regarding the ITC, output Tax liability and the amounts of GST deposited. A GST registered person has to submit the following returns: E – Way bill: E – Way bill is an electronic way bill that can be generated on the E – Way bill portal. A registered person can not transport goods whose value exceeds ₹ 50,000 in a vehicle without an e – way bill. When an E – way bill is generated, a unique e – way bill number (EBN) is allocated and is available to the supplier, the transporter and recipient. A dealer must generate an E – way bill if he has to transport them for returning to the supplier.   

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