# Numbers Questions

Q:

The largest 4 digit number exactly divisible by 88 is ?

 A) 9944 B) 9768 C) 8888 D) 9988

Explanation:

The largest 4 digit number is = 9999
After dividing 9999 with 88, we get 55 as remainder
so largest 4 digit number divisible by 88 = 9999-55 = 9944.

68 28578
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.

38 27452
Q:

x = y - (50/y), where x and y are both > 0

If the value of y is doubled in the equation above, the value of x will

 A) decrease B) stay the same C) increase four fold D) increase to more than double

Explanation:

The best approach is to pick a number that satisfies the rules that x and y are greater than 0. So for example you could choose 25 for y.

The value of x before doubling is then 25 - 50/25 = 23

The value after doubling y will be 50 - 50/50 = 49, which is more than double.

6 26080
Q:

What smallest number should be added to 4456 so that the sum is completely divisible by 6 ?

 A) 4 B) 3 C) 2 D) 1

Explanation:

6)4456(742
42
--------
25
24
-------
16
12
-----
4
------
Required number = (6-4) = 2.

32 25827
Q:

Find the next number in the series 141,137,146,130,155,119,...

 A) 147 B) 168 C) 162 D) 182

Explanation:

The pattern is -4, +9,-16, +25, -36

The next number=119+49=168

9 25747
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

25 25345
Q:

What is the simplified result of following the steps below in order?

2.Multiply the sum by 3

3.Substract x+y from the product

 A) 5x + 14y B) 5x + 16y C) 5x + 5y D) None

Explanation:

Step 1 :2x + 5y

Step 2 :3(2x + 5y) = 6x + 15y

Step 3 :(6x + 15y) - (x +y) = 6x + 15y - x - y (watch that last minus sign!)

This gives 5x + 14y

5 24861
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