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.

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9 5201
Q:

On dividing 2272 as well as 875 by 3-digit number N,we get the same remainder.The sum of the digits of N is:

A) 13 B) 12
C) 11 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

(2272-875) = 1397, is exactly divisible by N.

Now , 1397 = 11 x 127

The required 3-digit number is 127,the sum of digits is 10.

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11 4984
Q:

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

Answer

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 \fn_jvn \therefore  Required remainder = 9

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7 4914
Q:

 What is the greatest of 3 consecutive integers whose sum is 24 ?

A) 6 B) 7
C) 8 D) 9
 
Answer & Explanation Answer: D) 9

Explanation:

The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3

If the sum is 24, we need to solve the equation 3n + 3 = 24;

=> 3n = 21;

=> n = 7

The greatest of the three numbers is therefore 7 + 2 = 9

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9 4865
Q:

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

A) 86 B) 94
C) 100 D) 115
 
Answer & Explanation Answer: C) 100

Explanation:

Let the number be x.Then

60% of {\color{Black} \frac{3}{5}}of x=36.

{\color{Black} \Rightarrow }{\color{Black} \frac{60}{100}\times \frac{3}{5}\times x=36}

{\color{Black} \Rightarrow x=100}

Required number is 100.

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14 4773