{"id":68924,"date":"2025-04-09T11:03:33","date_gmt":"2025-04-09T05:33:33","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=68924"},"modified":"2025-04-09T11:03:34","modified_gmt":"2025-04-09T05:33:34","slug":"number-system-questions-for-banking-exams","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/number-system-questions-for-banking-exams\/","title":{"rendered":"Number System Questions for Banking Exams, Solve Practice Questions"},"content":{"rendered":"\n

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Home<\/a><\/span> \u00bb SBI Clerk<\/a><\/span> \u00bb Number System Questions for Banking Exams<\/span><\/span><\/div>\n\n\n

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Many aspirants while preparing for the banking exams struggle with the quantitative aptitude section. This is the reason we have been keeping up with the trend of explaining each and every concept along with some practice questions with it. Today, we are explaining the concept of the number system and how to go about solving these types of problems. Number system in simple terms is a systematic way of expressing numbers and it even helps to understand the basics of quantitative ability. Mentioned below are the types and few practice questions on the number system.<\/p>\n\n\n\n

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Take a IBPS RRB PO Free Mock Test & Know the Difficulty Level of the Questions Asked<\/strong><\/a><\/div>\n<\/div>\n\n\n\n

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Take 1 Free Mock Test & Measure Your Performance in Numbers<\/strong><\/a><\/div>\n<\/div>\n\n\n\n

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Number system:<\/strong><\/p>\n\n\n\n

Natural numbers:<\/strong><\/p>\n\n\n\n

Natural numbers are counting numbers starting with \u20181\u2019. The set of natural numbers is usually denoted by \u2018N\u2019 i.e. {1, 2 , 3…….}<\/p>\n\n\n\n

Whole numbers:<\/strong><\/p>\n\n\n\n

Whole numbers comprise natural numbers and the number zero. The set of whole numbers is usually denoted by \u2018W\u2019 i.e. {0, 1, 2, 3…….}<\/p>\n\n\n\n

Integers:<\/strong><\/p>\n\n\n\n

An Integer is any number in the set {….,-1, 0, 1, 2, ………}.<\/p>\n\n\n\n

Integers comprise natural numbers (1, 2 , 3………..), their negatives (-1, -2, -3………..) and the number zero.<\/p>\n\n\n\n

SBI Clerk Prelims Free Mock Test <\/a><\/p>\n\n\n\n

Consecutive integers:<\/strong><\/p>\n\n\n\n

Integers that occur in a sequence and where the difference between two successive integers is \u20181\u2019, are consecutive integers.<\/p>\n\n\n\n

Consecutive integers can be expressed in the form: \u2018n\u2019, (n + 1), (n + 2), (n + 3), ……….. where \u2018n\u2019 is an integer.<\/p>\n\n\n\n

Even numbers:<\/strong> <\/p>\n\n\n\n

All natural numbers that are divisible<\/strong> by \u20182\u2019 are called even numbers.<\/p>\n\n\n\n

Consecutive even numbers can be expressed in the form \u20182n\u2019, (2n + 2), (2n + 4), (2n + 6)……., where \u2018n\u2019 is a natural number.<\/p>\n\n\n\n

Odd numbers:<\/strong><\/p>\n\n\n\n

All natural numbers that are not divisible<\/strong> by \u20182\u2019 are called odd numbers.<\/p>\n\n\n\n

Consecutive odd numbers can be expressed in the form (2n + 1), (2n + 3), (2n + 5), (2n + 7)……., where \u2018n\u2019 is a whole number.<\/p>\n\n\n\n

Prime numbers:<\/strong><\/p>\n\n\n\n

A natural number greater than \u20181\u2019, that has exactly two factors, i.e., 1 and the number itself, is called a prime number. e.g. 2, 3, 5, 7, etc. Any prime number greater than 3 can be expressed as (6n + 1) or (6n \u2013 1) (where \u2018n\u2019 is a positive integer).<\/p>\n\n\n\n

Note: All the numbers in the form (6n + 1) and (6n \u2013 1) are not necessarily prime numbers.<\/strong><\/p>\n\n\n\n

Composite numbers:<\/strong><\/p>\n\n\n\n

Any number that has more than two factors (i.e. other than itself and \u20181\u2019) is called a composite number. e.g. 4, 6, 8 etc.<\/p>\n\n\n\n

Note: Except \u20181\u2019, every other integer can be classified as either a prime or a composite number.<\/p>\n\n\n\n

HCF (Highest Common Factor):<\/strong><\/p>\n\n\n\n

HCF is the largest integer that perfectly divides two or more given integers. It is also known as the GCD (Greatest Common Divisor).<\/p>\n\n\n\n

Example: Find the HCF of 9 and 18.<\/p>\n\n\n\n

The factors or divisors of \u20189\u2019 are: 1, 3 and 9<\/p>\n\n\n\n

The factors or divisors of \u201818\u2019 are: 1, 2, 3, 6, 9 and 18  <\/p>\n\n\n\n

So, the HCF of 9 and 18 is \u20189\u2019 (Since, highest factor common to both \u20189\u2019 and \u201818\u2019 is \u20189\u2019).<\/p>\n\n\n\n

LCM (Lowest Common Multiple):<\/strong><\/p>\n\n\n\n

LCM is the smallest integer that is perfectly divisible by two or more given integers.<\/p>\n\n\n\n

Example:<\/p>\n\n\n\n

Find the LCM of 9 and 18<\/p>\n\n\n\n

The multiples of 9 are: 9, 18, 27, ……………..<\/p>\n\n\n\n

The multiples of 18 are: 18, 36, 54,  ……………………….  the LCM of 18 and 9 is \u201818\u2019. (Since, the least multiple that is common to both \u20189\u2019 and \u201818\u2019 is \u201836\u2019)<\/p>\n\n\n\n

Also, Product of two numbers = LCM of the same two numbers \u00d7 HCF of the same two numbers<\/strong><\/p>\n\n\n\n

Co-Prime or Relatively prime numbers:<\/strong><\/p>\n\n\n\n

If two numbers have no factor common other than \u20181\u2019, then the numbers are co-prime to each other. For example, \u20185\u2019 and \u20186\u2019 are co-prime to each other.<\/p>\n\n\n\n

Note: LCM of two prime or co-prime numbers is the product of the two numbers and the HCF of two prime or co-prime numbers is \u20181\u2019.<\/p>\n\n\n\n

Factorial:<\/strong><\/p>\n\n\n\n

A factorial is a number obtained by multiplying all the positive integers less than or equal to a given positive integer. The factorial of a given integer \u2018n\u2019 is usually written as \u2018n!\u2019.  <\/p>\n\n\n\n

And, n! = n \u00d7 (n \u2013 1) \u00d7 (n \u2013 2) \u00d7 (n \u2013 3) \u00d7 \u2026\u2026\u2026\u2026\u2026..\u00d7 3 \u00d7 2 \u00d7 1<\/p>\n\n\n\n

SBI Clerk Prelims Free Mock Test <\/a><\/p>\n\n\n\n

Some other important formulas associated with numbers:<\/h4>\n\n\n\n

I. Number of factors of a number:<\/strong><\/p>\n\n\n\n

The number of factors of a number written in the form ax<\/sup> \u00d7 by<\/sup> \u00d7 cz<\/sup> \u00d7 \u2026\u2026. (Where \u2018a\u2019, \u2018b\u2019 and \u2018c\u2019 are prime numbers) are (x + 1) \u00d7 (y + 1) \u00d7 (z + 1) \u00d7 \u2026..<\/p>\n\n\n\n

II. Sum of first \u2018n\u2019 natural numbers:<\/strong><\/p>\n\n\n\n

= {n(n + 1)}\/2<\/p>\n\n\n\n

III. Sum of first \u2018n\u2019 odd natural numbers:<\/strong><\/p>\n\n\n\n

= n2<\/sup><\/p>\n\n\n\n

IV. Sum of first \u2018n\u2019 even natural numbers:<\/strong><\/p>\n\n\n\n

= n(n + 1)<\/p>\n\n\n\n

V. Sum of squares of first \u2018n\u2019 natural numbers:<\/strong><\/p>\n\n\n\n

= {n(n + 1)(2n + 1)} \u00f7 6<\/p>\n\n\n\n

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Take a IBPS RRB PO Free Mock Test & Know the Difficulty Level of the Questions Asked<\/strong><\/a><\/div>\n<\/div>\n\n\n\n

<\/p>\n\n\n\n

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Take 1 Free Mock Test & Measure Your Performance in Numbers<\/strong><\/a><\/div>\n<\/div>\n\n\n\n

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Number System Questions for Banking Exams<\/h2>\n\n\n\n

Question 1:<\/strong> Product of digits at unit place and tens place is 18, when its digits are interchanged then the number is increased by 27. Find the square of the number.<\/p>\n\n\n\n

A) 841<\/p>\n\n\n\n

B) 256<\/p>\n\n\n\n

C) 324<\/p>\n\n\n\n

D) 729<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 2:<\/strong> LCM of two numbers is 15 times of their HCF. The product of numbers is 15360. What will be the maximum possible difference between the numbers?<\/p>\n\n\n\n

A) 448<\/p>\n\n\n\n

B) 512<\/p>\n\n\n\n

C) 416<\/p>\n\n\n\n

D) 544<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 3:<\/strong> The largest 2-digit prime number is subtracted from the LCM of all single digit prime numbers to obtain a number \u2018X\u2019. Find the unit digit of \u2018X\u2019.<\/p>\n\n\n\n

A) 3<\/p>\n\n\n\n

B) 5<\/p>\n\n\n\n

C) 7<\/p>\n\n\n\n

D) 8<\/p>\n\n\n\n

E) 2<\/p>\n\n\n\n

Question 4:<\/strong> 1\/5th<\/sup> of a number \u2018x\u2019 is 20% more than 2\/5th<\/sup> of another number \u2018y\u2019. \u2018x\u2019 is how much percent more\/less than \u2018y\u2019?<\/p>\n\n\n\n

A) 80%<\/p>\n\n\n\n

B) 115%<\/p>\n\n\n\n

C) 220%<\/p>\n\n\n\n

D) 140%<\/p>\n\n\n\n

E) 100%<\/p>\n\n\n\n

Question 5:<\/strong> When a least four digit number \u2018x\u2019 is divided by 96, 64 and 72, then it leaves a remainder 9 in each case. What least number must be added to \u2018x\u2019 so that it becomes a perfect square?<\/p>\n\n\n\n

A) 12<\/p>\n\n\n\n

B) 64<\/p>\n\n\n\n

C) 75<\/p>\n\n\n\n

D) 48<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 6:<\/strong> If a number is increased by x% and then by 25%, the resultant number is 945 which is 135 less than the double of the original number, find the value of \u2018x\u2019.<\/p>\n\n\n\n

A) 20<\/p>\n\n\n\n

B) 30<\/p>\n\n\n\n

C) 40<\/p>\n\n\n\n

D) 50<\/p>\n\n\n\n

E) 55<\/p>\n\n\n\n

Question 7:<\/strong> Find the largest three-digit number that leave 3 as remainder when divided by 4, 5 and 12.<\/p>\n\n\n\n

A) 907<\/p>\n\n\n\n

B) 987<\/p>\n\n\n\n

C) 903<\/p>\n\n\n\n

D) 993<\/p>\n\n\n\n

E) 963<\/p>\n\n\n\n

Question 8:<\/strong> When a number is decreased by 25%, then the number obtained is 36 more than 60% of the original number. Find the original number.<\/p>\n\n\n\n

A) 200<\/p>\n\n\n\n

B) 220<\/p>\n\n\n\n

C) 240<\/p>\n\n\n\n

D) 260<\/p>\n\n\n\n

E) 280<\/p>\n\n\n\n

Question 9:<\/strong> Find the largest 3-digit number that is divisible by both 13 and 37.<\/p>\n\n\n\n

A) 962<\/p>\n\n\n\n

B) 982<\/p>\n\n\n\n

C) 989<\/p>\n\n\n\n

D) 481<\/p>\n\n\n\n

E) 491<\/p>\n\n\n\n

Question 10:<\/strong> The LCM of two numbers is 186 while their product is 5766. Find the HCF of the two numbers.<\/p>\n\n\n\n

A) 62<\/p>\n\n\n\n

B) 31<\/p>\n\n\n\n

C) 93<\/p>\n\n\n\n

D) 186<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

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Take a IBPS RRB PO Free Mock Test & Know the Difficulty Level of the Questions Asked<\/strong><\/a><\/div>\n<\/div>\n\n\n\n

<\/p>\n\n\n\n

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Take 1 Free Mock Test & Measure Your Performance in Numbers<\/strong><\/a><\/div>\n<\/div>\n\n\n\n

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\u092a\u094d\u0930\u0936\u094d\u0928 1:<\/strong> \u0907\u0915\u093e\u0908 \u0914\u0930 \u0926\u0939\u093e\u0908 \u0915\u0947 \u0905\u0902\u0915\u094b\u0902 \u0915\u093e \u0917\u0941\u0923\u0928\u092b\u0932 18 \u0939\u0948, \u091c\u092c \u0907\u0938\u0915\u0947 \u0905\u0902\u0915\u094b\u0902 \u0915\u094b \u0906\u092a\u0938 \u092e\u0947\u0902 \u092c\u0926\u0932 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0938\u0902\u0916\u094d\u092f\u093e 27 \u092c\u0922\u093c \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0935\u0930\u094d\u0917 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n\n\n

A) 841<\/p>\n\n\n\n

B) 256<\/p>\n\n\n\n

C) 324<\/p>\n\n\n\n

D) 729<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 2:<\/strong> \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0932\u0918\u0941\u0924\u094d\u0924\u092e \u0909\u0928\u0915\u0947 \u092e\u0939\u0924\u094d\u0924\u092e \u0915\u093e 15 \u0917\u0941\u0928\u093e \u0939\u0948\u0964\u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u0928\u092b\u0932 15360 \u0939\u0948\u0964\u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0905\u0927\u093f\u0915\u0924\u092e \u0938\u0902\u092d\u0935 \u0905\u0902\u0924\u0930 \u0915\u093f\u0924\u0928\u093e \u0939\u094b\u0917\u093e?<\/p>\n\n\n\n

A) 448<\/p>\n\n\n\n

B) 512<\/p>\n\n\n\n

C) 416<\/p>\n\n\n\n

D) 544<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 3:<\/strong> \u0938\u0902\u0916\u094d\u092f\u093e ‘X’ \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0938\u092d\u0940 \u090f\u0915\u0932 \u0905\u0902\u0915 \u0935\u093e\u0932\u0940 \u0905\u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 LCM \u0938\u0947 \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u0940 2-\u0905\u0902\u0915\u0940\u092f \u0905\u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0918\u091f\u093e \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 ‘X’ \u0915\u093e \u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n\n\n

A) 3<\/p>\n\n\n\n

B) 5<\/p>\n\n\n\n

C) 7<\/p>\n\n\n\n

D) 8<\/p>\n\n\n\n

E) 2<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 4:<\/strong> \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u2019x ‘ \u0915\u093e 1 \/ 5th, \u0926\u0942\u0938\u0930\u0940 \u0938\u0902\u0916\u094d\u092f\u093e ‘y’ \u0915\u0947 2\/5th \u0938\u0947 20% \u0905\u0927\u093f\u0915 \u0939\u0948\u0964 \u2018x\u2019,\u2018y\u2019 \u0938\u0947 \u0915\u093f\u0924\u0928\u093e \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0905\u0927\u093f\u0915 \/ \u0915\u092e \u0939\u0948?<\/p>\n\n\n\n

A) 80%<\/p>\n\n\n\n

B) 115%<\/p>\n\n\n\n

C) 220%<\/p>\n\n\n\n

D) 140%<\/p>\n\n\n\n

E) 100%<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 5:<\/strong> \u091c\u092c \u090f\u0915 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u091a\u093e\u0930 \u0905\u0902\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e ‘x’ \u0915\u094b 96, 64 \u0914\u0930 72 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902 \u0936\u0947\u0937 9 \u092c\u091a\u0924\u093e \u0939\u0948\u0964 ‘x’ \u092e\u0947\u0902 \u0915\u094c\u0928 \u0938\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094b\u0921\u093c\u0940 \u091c\u093e\u090f \u0924\u093e\u0915\u093f \u0935\u0939 \u090f\u0915 \u0936\u0941\u0926\u094d\u0927 \u0935\u0930\u094d\u0917 \u092c\u0928 \u091c\u093e\u090f?<\/p>\n\n\n\n

A) 12<\/p>\n\n\n\n

B) 64<\/p>\n\n\n\n

C) 75<\/p>\n\n\n\n

D) 48<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 6:<\/strong> \u092f\u0926\u093f \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 x% \u0914\u0930 \u092b\u093f\u0930 25% \u0915\u0940 \u0935\u0943\u0926\u094d\u0927\u093f \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948, \u0924\u094b \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u0938\u0902\u0916\u094d\u092f\u093e 945 \u0939\u0948 \u091c\u094b \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0926\u094b\u0917\u0941\u0928\u0947 \u0938\u0947 135 \u0915\u092e \u0939\u0948, ‘x’ \u0915\u093e \u092e\u093e\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n\n\n

A) 20<\/p>\n\n\n\n

B) 30<\/p>\n\n\n\n

C) 40<\/p>\n\n\n\n

D) 50<\/p>\n\n\n\n

E) 55<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 7:<\/strong> \u0935\u0939 \u0924\u0940\u0928 \u0905\u0902\u0915\u094b\u0902 \u0915\u0940 \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u091c\u093f\u0938\u0947 4, 5 \u0914\u0930 12 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0936\u0947\u0937\u092b\u0932 3 \u092c\u091a\u0924\u093e \u0939\u0948\u0964<\/p>\n\n\n\n

A) 907<\/p>\n\n\n\n

B) 987<\/p>\n\n\n\n

C) 903<\/p>\n\n\n\n

D) 993<\/p>\n\n\n\n

E) 963<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 8:<\/strong> \u091c\u092c \u0915\u093f\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 25% \u0915\u0940 \u0915\u092e\u0940 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948, \u0924\u094b \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 60% \u0938\u0947 36 \u0905\u0927\u093f\u0915 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n\n\n

A) 200<\/p>\n\n\n\n

B) 220<\/p>\n\n\n\n

C) 240<\/p>\n\n\n\n

D) 260<\/p>\n\n\n\n

E) 280<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 9:<\/strong> \u0924\u0940\u0928 \u0905\u0902\u0915\u094b\u0902 \u0915\u0940 \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u091c\u094b 13 \u0914\u0930 37 \u0926\u094b\u0928\u094b\u0902 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u094b\u0964<\/p>\n\n\n\n

A) 962<\/p>\n\n\n\n

B) 982<\/p>\n\n\n\n

C) 989<\/p>\n\n\n\n

D) 481<\/p>\n\n\n\n

E) 491<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 10:<\/strong> \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u092e\u0939\u0924\u094d\u0924\u092e 186 \u0939\u0948 \u091c\u092c\u0915\u093f \u0909\u0928\u0915\u093e \u0917\u0941\u0923\u0928\u092b\u0932 5766 \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u092e\u0939\u0924\u094d\u0924\u092e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n\n\n

A) 62<\/p>\n\n\n\n

B) 31<\/p>\n\n\n\n

C) 93<\/p>\n\n\n\n

D) 186<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940<\/p>\n\n\n\n

ANSWER KEYS and SOLUTIONS:<\/strong><\/h4>\n\n\n\n
1) – E)<\/td>2) – A)<\/td>3) – A)<\/td>4) – D)<\/td>5) – B)<\/td>6) – C)<\/td><\/tr>
7) – E)<\/td>8) – C)<\/td>9) – A)<\/td>10) – B)<\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Solution 1: E)<\/strong><\/p>\n\n\n\n

Let the number be \u201810x + y\u2019<\/p>\n\n\n\n

So, x \u00d7 y = 18<\/p>\n\n\n\n

And, (10y + x) \u2013 (10x + y) = 27<\/p>\n\n\n\n

Or, 9(y \u2013 x) = 27<\/p>\n\n\n\n

Or, y \u2013 x = 3<\/p>\n\n\n\n

Or, y \u2013 (18\/y) = 3<\/p>\n\n\n\n

Or, y2<\/sup> \u2013 3y \u2013 18 = 0<\/p>\n\n\n\n

Or, y2<\/sup> \u2013 6y + 3y \u2013 18 = 0<\/p>\n\n\n\n

Or, y(y \u2013 6) + 3(y \u2013 6) = 0<\/p>\n\n\n\n

Or, (y + 3)(y \u2013 6) = 0<\/p>\n\n\n\n

Or, y = 6 or y = -3 (not possible)<\/p>\n\n\n\n

So, x = 18\/6 = 3<\/p>\n\n\n\n

So, the number = 10 \u00d7 3 + 6 = 36<\/p>\n\n\n\n

And, 36 \u00d7 36 = 1296<\/p>\n\n\n\n

Hence, option e.<\/p>\n\n\n\n

Solution 2: A)<\/strong><\/p>\n\n\n\n

Let HCF of two numbers be \u2018x\u2019<\/p>\n\n\n\n

So, LCM of two numbers = 15 \u00d7 x = 15x<\/p>\n\n\n\n

Or, x \u00d7 15x = 15360<\/p>\n\n\n\n

Or, 15x2<\/sup> = 15360<\/p>\n\n\n\n

Or, x2<\/sup> = 1024<\/p>\n\n\n\n

Or, x = 32<\/p>\n\n\n\n

LCM of two numbers = 32 \u00d7 15 = 480<\/p>\n\n\n\n

Let two number be \u201832a\u2019 and \u201832b\u2019, where \u2018a\u2019 and \u2018b\u2019 are co-prime numbers.<\/p>\n\n\n\n

So, 32ab = 480<\/p>\n\n\n\n

Or, a \u00d7 b = 15<\/p>\n\n\n\n

So, when a = 1 and b = 15, then difference will be maximum<\/p>\n\n\n\n

Desired difference = 32 \u00d7 15 \u2013 32 \u00d7 1 = 448<\/p>\n\n\n\n

Hence, option a.<\/p>\n\n\n\n

Solution 3: A)<\/strong><\/p>\n\n\n\n

LCM of all single digit prime numbers = (2 \u00d7 3 \u00d7 5 \u00d7 7) = 210<\/p>\n\n\n\n

So, \u2018X\u2019 = 210 \u2013 97 = 113<\/p>\n\n\n\n

Unit digit of \u2018X\u2019 = 3<\/p>\n\n\n\n

Hence, option a.<\/p>\n\n\n\n

Solution 4: D)<\/strong><\/p>\n\n\n\n

According to the question,<\/p>\n\n\n\n

(x\/) = 1.2 \u00d7 (2y\/5)<\/p>\n\n\n\n

Or, x\/y = 12\/5<\/p>\n\n\n\n

Required percentage = {(12 \u2013 5)\/5} \u00d7 100 = 140%<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

Solution 5: B)<\/strong><\/p>\n\n\n\n

LCM of 96, 64 and 72 = 576<\/p>\n\n\n\n

Since, least 4-digit number = 576 \u00d7 2 = 1152<\/p>\n\n\n\n

So, x = 1152 + 9 = 1161<\/p>\n\n\n\n

Least number added = 1225 \u2013 1161 = 64<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

Solution 6: C)<\/strong><\/p>\n\n\n\n

ATQ,<\/p>\n\n\n\n

945 + 135 = 2 \u00d7 original number<\/p>\n\n\n\n

Original number = 1080\/2 = 540<\/p>\n\n\n\n

Now,<\/p>\n\n\n\n

540 \u00d7 [(100 + x)\/100] \u00d7 1.25 = 945<\/p>\n\n\n\n

Or, (5400 + 54x) = 9450\/1.25<\/p>\n\n\n\n

Or, 54x = 7560 \u2013 5400<\/p>\n\n\n\n

Or, x = 2160\/54 = 40<\/p>\n\n\n\n

Hence, option c.<\/p>\n\n\n\n

Solution 7: E)<\/strong><\/p>\n\n\n\n

Required number = largest three-digit multiple of LCM (4, 5 and 12) + 3<\/p>\n\n\n\n

So, LCM (4, 5 and 12) = 60<\/p>\n\n\n\n

So, largest three-digit multiple of 60 = 960<\/p>\n\n\n\n

So, required number = 960 + 3 = 963<\/p>\n\n\n\n

Hence, option e.<\/p>\n\n\n\n

Solution 8: C)<\/strong><\/p>\n\n\n\n

Let the original number be \u2018x\u2019.<\/p>\n\n\n\n

According to the question,<\/p>\n\n\n\n

x \u00d7 0.75 = 36 + 0.60 \u00d7 x<\/p>\n\n\n\n

Or, 0.75x \u2013 0.6x = 36<\/p>\n\n\n\n

Or, 0.15x = 36<\/p>\n\n\n\n

Or, x = 240<\/p>\n\n\n\n

So, the original number = 240<\/p>\n\n\n\n

Hence, option c.<\/p>\n\n\n\n

Solution 9: A)<\/strong><\/p>\n\n\n\n

LCM (13 and 37) = 481<\/p>\n\n\n\n

Largest 3-digit multiple of 481 = 962<\/p>\n\n\n\n

Therefore, required number = 962<\/p>\n\n\n\n

Hence, option a.<\/p>\n\n\n\n

Solution 10: B)<\/strong><\/p>\n\n\n\n

For two numbers;<\/p>\n\n\n\n

LCM \u00d7 HFC = Product of the two numbers<\/p>\n\n\n\n

So, HCF = Product of the two numbers \u00f7 LCM<\/p>\n\n\n\n

Required HCF = 5766 \u00f7 186 = 31<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

This brings us to the end of the article. Candidates can prepare really well the concept of Number System from here and can practice questions as well. Meanwhile attempt SBI Clerk prelims free mock test to know your initial exam preparation level. <\/p>\n\n\n\n

<\/p>\n\n\n\n

<\/p>\n\n\n\n

Related Blogs<\/h3>\n\n\n\n

For More Details Regarding the IBPS RRB 2025 Notification for PO and Clerk, candidates can click on the provided links. Important details of the IBPS RRB PO and Clerk, such as syllabus, exam pattern, cut-off, online application, and previous year papers, are provided. <\/p>\n\n\n\n

IBPS RRB Clerk Other Article<\/h3>\n\n\n\n
IBPS RRB Clerk Exam Pattern 2025<\/a><\/td>IBPS RRB Clerk Syllabus 2025<\/a><\/td><\/tr>
IBPS RRB Clerk Salary 2025<\/a><\/td>IBPS RRB Clerk Cut Off 2025<\/a><\/td><\/tr>
IBPS RRB Clerk Previous Year Paper<\/a><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

IBPS RRB PO Other Article<\/h3>\n\n\n\n
IBPS RRB PO Salary<\/a><\/td>IBPS RRB PO Exam Pattern<\/a><\/td><\/tr>
IBPS RRB PO Cut Off<\/a><\/td>IBPS RRB PO Syllabus<\/a><\/td><\/tr>
IBPS RRB PO Previous Year Question Papers<\/a><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

<\/p>\n\n\n\n

Join our exclusive Telegram group where our experts are ready to answer all your queries, guide you in banking exam preparation, and give personalized tips to boost your success. Get access to real-time solutions, expert advice, and valuable resources to improve your study journey. [Click here to join now!]<\/strong><\/em><\/p>\n\n\n\n

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\n
PracticeMock Telegram group Link<\/strong><\/a><\/div>\n<\/div>\n\n\n\n

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\"Banking<\/a>
<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"

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