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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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21 17854
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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14 17327
Q:

Direction: What should come in the place of question mark (?) in the following number series?

2, 3, 6, 15, 45, ?

A) 90 B) 135
C) 157.5 D) 200
 
Answer & Explanation Answer: C) 157.5

Explanation:

The pattern followed is *1.5 , * 2 , *2.5 , *3 , *3.5

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0 17206
Q:

Which natural number is nearest to 8485, which is completely divisible by 75 ?

A) 8475 B) 8500
C) 8550 D) 8525
 
Answer & Explanation Answer: A) 8475

Explanation:

On dividing we get

75)8485(113
     75
     ------
       98
       75
      ------
       235
       225
      ------
         10
      ------
Required number = (8485-10)=8475.

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16 16968
Q:

What is the right most integer of the expression 65776759 + 54697467  ?

A) 4 B) 6
C) 9 D) 0
 
Answer & Explanation Answer: C) 9

Explanation:

Last digit for the power of 6 is 6 (always)

Power cycle of 7 is 7, 9, 3, 1.

Now 467/4 gives a remainder of 3

Then the last digit is 73 = 3

Last digit is 6 + 3 = 9.

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8 16783
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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Subject: Numbers

26 16505
Q:

Direction: What should come in the place of question mark (?) in the following number series?

3, 4, 10, 33, 136, ?

A) 150 B) 298
C) 463 D) 572
 
Answer & Explanation Answer:

Explanation:

The pattern followed is *1 + 1, *2 +2 , *3 + 3 , *4 + 4 , *5 + 5

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0 15959
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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Exam Prep: GRE

33 15771