1. Find the sum of first 25 natural numbers.
(a) 432 (b) 315 (c) 325 (d) 335 (e) None of the above
2. Find the sum of the squares of first 35 natural numbers.
(a) 14910 (b) 15510
(c) 14510 (d) 16510
(e) None of the above

3. Find the sum of the cubes of first 15 natural numbers.
(a) 15400 (b) 14400
(c) 16800 (d) 13300
4. Find the sum of first 37 odd numbers.
[Hotel Mgmt. 2010]
(a) 1369 (b) 1295 (c) 1388 (d) 1875 (e) None of the above
5. Find the sum of first 84 even numbers.
[Bank Clerks 2008]

(a) 7140 (b) 7540 (c) 6720 (d) 8832 (e) None of the above

6. Sum of first 15 multiples of 8 is
[CUT 2013]
(a) 960 (b) 660
(c) 1200 (d) 1060
7. The product of four consecutive natural numbers plus one is [CDS 2014]
(a) a non-square
(b) always sum of two square numbers
(c) a square
(d) None of the above
8.Find the unit digit in the product of (268 x 539 x 826 x 102). [MBA 2009]
(a) 5 (b) 3 (c) 4 (d) 2
(e) None of the above

9. How many rational numbers are there between 1 and 1000? [CDS 2012]
(a) 998 (b) 999
(c) 1000 (d) Infinite
10. The sum of 5 consecutive even numbers A,B,C,D andE is 130. What is the product of A and E ? [Bank Clerks 2009]
(a) 720 (b) 616 (c) 660 (d) 672 (e) None of the above
11. The sum of the five consecutive numbers is equal to 170. What is the product of largest and the smallest numbers?
[Bank Clerks 2011]
(a) 1512 (b) 1102 (c) 1152 (d) 1210 (e) None of the above
12. Which of the following numbers always divides the difference between the squares of two consecutive odd integers?
[Bank Clerks 2009]
(a) 7 (b) 3 (c) 8 (d) 6 (e) None of the above
13. A number divided by 56 gives 29 as remainder. If the same number is divided by 8, the remainder will be …
[SSC CCL 2007]
(a) 4 (b) 5
(c) 6 (d) 7
14. On dividing a certain number by 357, the remainder is 39. On dividing the same number by 17, what will be the
remainder?
(a) 5 (b) 3 (c) 7 (d) 6 (e) None of the above
15. A number when divided by 5, leaves 3 as remainder. What will be the remainder when the square of this number is
divided by 5?
(a) 3 (b) 4 (c) 5 (d) 0 (e) None of the above
16. In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by
him was 35. Find the correct quotient.
(a) 10 (b) 12 (c) 20 (d) 15 (e) None of the above
17. A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the
same divisor, the remainder is 11. What is the value of the divisor? [IB ACIO 2013]
(a) 13 (b) 59
(c) 35 (d) 37
18. The number 58129745812974 is divisible by [CDS 2012]
(a) 11 (b)9
(c) 4 (d) None of these
19. How many numbers between – Hand 11 are multiples of 2 or 3? [CDS 2012]
(a) 11 (b) 14
(c) 15 (d) None of these
20. Which one of the following numbers is divisible by 11? [CDS 2013]
(a) 45678940 (b) 54857266
(c) 87524398 (d) 93455120

July 1, 2023

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## Fast Track Practice-MATH

February 17, 2022

## MATHEMATIC QUESTION FOR ALL COMPTITION EXAMS

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