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Number system

Total Questions: 23

1) The sum of five consecutive even numbers of set-A is 280. What is the sum of different set of five consecutive numbers whose lowest number is 71 less than double the lowest number of set-A?

  • A: 182
  • B: 165
  • C: 172
  • D: 175

2) 2ab5 is a four-digit number divisible by 25. If the number formed from the two digits ab is a multiple of 13, then ab =?

  • A: 10
  • B: 25
  • C: 52
  • D: 65

3) The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6,

  • A: 3
  • B: 13
  • C: 23
  • D: 33

4) A number when divided by 765 leaves a remainder 42. What will be the remainder if the number is divided by 17?

  • A: 8
  • B: 5
  • C: 7
  • D: 6

5) When ‘n’ is divided by 5 the remainder is 2. What is the remainder when n^2 is divided by 5?

  • A: 2
  • B: 3
  • C: 1
  • D: 4

6) The sum of five consecutive numbers is 270. What is the sum of the second and the fifth number?

  • A: 108
  • B: 107
  • C: 110
  • D: None

7) A number is multiplied by 9 and 9 is added to the product. If the resulting number is divisible by 17, the smallest of such number is

  • A: 9
  • B: 16
  • C: 17
  • D: 21

8) When a number is divided by seven, it has a remainder of 2. When it is divided by 6, it has a remainder of 3. What is the number?

  • A: 16
  • B: 44
  • C: 38
  • D: 51

9) Find the unit digit in the product of (268 x 539 × 826 × 102).

  • A: 5
  • B: 3
  • C: 4
  • D: 2

10) The least square number which is exactly divisible by each of these number 6,9,15 and 20 is?

  • A: 400
  • B: 900
  • C: 961
  • D: 1024

11) In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, then find the dividend.

  • A: 5388
  • B: 5343
  • C: 5336
  • D: 5391

12) If sum of integers from 101 to 200, inclusive is subtracted from the sum of integers from 201 to 300 inclusive then the result is

  • B: 100
  • C: 1000
  • D: 100 00

13) If a and b are two numbers such that ab = 0, then [Aggarwal – 32]

  • A: a = 0 and b=0
  • B: a=0 or b=0 or both
  • C: a = 0 and b#0
  • D: b= 0 and a #0

14) If (n-1) is an odd number, what are the two other odd numbers nearest to it?[Aggarwal – 29]

  • A: n, n-1
  • B: n, n-2
  • C: n-3, n+1
  • D: n-3, n+ 5

15) What is the number of prime factors contained in the product 30^7 x 22^5 x 34^11 [Aggarwal-164]

  • A: 49
  • B: 51
  • C: 52
  • D: 53

16) If the largest three-digit number is subtracted from the smallest five-digit number, then the remainder is [Aggarwal – 7]

  • A: 1
  • B: 9000
  • C: 9001
  • D: 90001

17) P and Q are two positive integers such that PQ-64. Which of the following cannot be the value of P + Q? [Aggarwal – ?]

  • A: 16
  • B: 20
  • C: 35
  • D: 65

18) The number of prime factors in the expression 6^10, 7^17, 11^27 is equal to [Aggarwal-163]

  • A: 54
  • B: 64
  • C: 71
  • D: 81

19) 3. Which of the following is a prime number?

  • A: 143
  • B: 289
  • C: 117
  • D: 359

20) 4. The smallest value of natural number n, for which 2n + 1 is not a prime number, is [Aggarwal-70]

  • A: 3
  • B: 4
  • C: 5
  • D: None

21) Which of the following is a prime number?

  • A: 20
  • B: 19
  • C: 21
  • D: 22

22) Which is not a prime number? (?) [Aggarwal – 66]+[Aggarwal-357]

  • A: 13
  • B: 19
  • C: 21
  • D: 17

23) Which of the following number is a prime Number?

  • A: B)
  • B: C)
  • C: D)
Time: 60s | Correct: 0 | Wrong: 0