# Numbers Questions

Q:

If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to  ?

 A) 5 B) 4 C) 3 D) 2

Explanation:

Since 653xy is divisible by 5 as well as 2, so y = 0.
Now, 653x0 must be divisible by 8.
So, 3x0 must be divisible by 8. This happens when x = 2
x + y = (2 + 0) = 2.

26 18655
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.

5 18224
Q:

How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ?

 A) 7 B) 9 C) 11 D) 5

Explanation:

LCM of 2, 3, 7 is 42.

=> (700 – 300)/42 = 9  22/42 => 9 Numbers.

27 17673
Q:

The sum of the two numbers is 12 and their product is 35.What is the sum of the reciprocals of these numbers?

 A) 12/35 B) 1/35 C) 35/8 D) 7/32

Explanation:

Let a and b are the numbers.Then a+b is 12 and ab is 35.

a+b/ab = 12/35

1/b + 1/a = 12/35

22 17648
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

8 17127
Q:

Find the next number in the series 14, 916, 2536,......

 A) 4981 B) 6481 C) 4964 D) 6449

Explanation:

The pattern is

$∴$The next number= = 4964

47 16776
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

4 16325
Q:

What is the smallest number by which 2880 must be divided in order to make it into a perfect square ?

 A) 2 B) 3 C) 4 D) 5