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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
 
Answer & Explanation Answer: 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.

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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
 
Answer & Explanation Answer: 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.

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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
 
Answer & Explanation Answer: B) 9

Explanation:

LCM of 2, 3, 7 is 42.

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

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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
 
Answer & Explanation Answer: A) 12/35

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

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22 17648
Q:

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

 

A) 147 B) 168
C) 162 D) 182
 
Answer & Explanation Answer: B) 168

Explanation:

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

The next number=119+49=168

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8 17127
Q:

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

A) 4981 B) 6481
C) 4964 D) 6449
 
Answer & Explanation Answer: C) 4964

Explanation:

The pattern is 12 22, 32 42, 52 62, 

∴The next number= 72 82= 4964

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47 16776
Q:

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

       1.Add 5y to 2x

       2.Multiply the sum by 3

       3.Substract x+y from the product

A) 5x + 14y B) 5x + 16y
C) 5x + 5y D) None
 
Answer & Explanation Answer: A) 5x + 14y

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

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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
 
Answer & Explanation Answer: D) 5

Explanation:

By trial and error method, we get
2880/3 = 960 is not a perfect square
2880/4 = 720 is not a perfect square
2880/5 = 576 which is perfect square of 24
Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

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