# Numbers Questions

Q:

If the number 517?324 is completely divisible by 3,then the smallest whole number in place of ? will be:

 A) 2 B) 1 C) 3 D) 7

Explanation:

Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = ( 22 + x ), which must be divisible by 3.

When x=2. [(22 + 2) = 24 is divisible by 3]

29 23085
Q:

The difference between the squares of two consecutive odd integers is always divisible by ?

 A) 8 B) 2 C) 6 D) 4

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)2 - (2x + 1)2

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8

46 22257
Q:

Which one of the following cannot be the square of a natural number?

 A) 32761 B) 42437 C) 81225 D) 20164

Explanation:

The square of a natural number never ends in 7.
42437 is not the square of a natural number

31 21494
Q:

What will come in place of the question mark (?) in the following questions ?

22% of ? + 166.64 = 340

 A) 788 B) 786 C) 784 D) 792

Explanation:

(kx22)/100 = 340 - 166.64 = 173.36
k = (173.36 x 100)/22
k = 788

14 21234
Q:

If 60% of $35$ of a number is 36, then the number is

 A) 86 B) 94 C) 100 D) 115

Explanation:

Let the number be x.Then

60% of $35$of x=36.

=> $60100*35*x=36$

=> $9x25=36$ => x=$25*369=100$

Required number is 100.

27 21152
Q:

Find the unit digit of 4198 + 612345 + 34866 + 2411 + 1.

 A) 3 B) 2 C) 1 D) 0

Explanation:

Given that, $4198+612345+34866+2411+1$

Now Power Cycle of

4 is 4, 6

6 is 6

8 is 8, 4, 2, 6

1 is 1

$4198$- 198 is even number , So the unit digit value is 6

$612345$ - It is always 6

$34866$-  66/4 the remainder is 2 , So the second value is 4

$2411$- 11 is odd number, So the unit digit value is 4

1 - It is always 1

Total = 21

Therefore, The unit digit is 1

Filed Under: Numbers - Quantitative Aptitude - Arithmetic Ability
Exam Prep: CAT
Job Role: Bank PO

23 19247
Q:

A number when divided by 779 gives a remainder 47. By dividing the same number by 19, what would be the remainder?

Number = ( 779 x a) + 47, where "a" is the quotient

= (19 x 41 x a) + (19 x 2) + 9

= 19 x (41a + 2) + 9

= 19 x (New quotient) + 9

$\inline&space;\fn_jvn&space;\therefore$  Required remainder = 9

18848
Q:

The difference between a positive proper fraction and its reciprocal is 9 / 20. Then the fraction is :

 A) 3/5 B) 3/10 C) 4/5 D) 5/4