6
Q:

Which of the following can be used to illustrate that not all prime numbers are odd? 

 

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

Answer:   B) 2



Explanation:

The only even numbers in the list are 2 and 4, but 4 is not a prime. So 2 can be used to illustrate the statement that all primes are not odd.

Subject: Numbers
Exam Prep: GRE
Q:

How many of the following numbers are divisible by 132?

264,396,462,792,968,2178,5184,6336

A) 4 B) 5
C) 6 D) 7
 
Answer & Explanation Answer: A) 4

Explanation:

132 = 4 x 3 x 11, So if the number is divisible by all three numbers 4,3 and 11,then the number is divisible by 132 also.
264   => 4,3,11(/)
396   => 4,3,11(/)
462   => 11,3
792   => 4,3,11(/)
968   => 11,4
2178 => 11,3
5184 => 3,4
6336 => 4,3,11(/)
Required number of numbers=4.

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Filed Under: Numbers

32 43642
Q:

Which one of the following cannot be the square of a natural number?

A) 32761 B) 42437
C) 81225 D) 20164
 
Answer & Explanation Answer: B) 42437

Explanation:

The square of a natural number never ends in 7.
42437 is not the square of a natural number

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32 20486
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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Filed Under: Numbers

97 35125
Q:

If the number 517?324 is completely divisible by 3,then the smallest whole number in place of ? will be:

A) 2 B) 1
C) 3 D) 7
 
Answer & Explanation Answer: A) 2

Explanation:

Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = ( 22 + x ), which must be divisible by 3.

When x=2. [(22 + 2) = 24 is divisible by 3]

So, the answer is 2

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Filed Under: Numbers

26 22063
Q:

If 60% of 35 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 35of x=36.

 

=> 60100*35*x=36

 

=> 9x25=36 => x=25*369=100

 

Required number is 100.

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28 20222
Q:

A number when divided by 296 leaves 75 as remainder.When the same number is divided by 37,the remainder will be:

A) 1 B) 3
C) 5 D) 2
 
Answer & Explanation Answer: A) 1

Explanation:

Let the Number be Y.

Then  Y = 296 q + 75

= (37 x 8)q +( 37 x 2) + 1

= 37 (8q + 2) + 1

Thus, when the number is divided by 37, the remainder is 1

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Filed Under: Numbers

76 30069
Q:

The sum of all two digit numbers divisible by 5 is

A) 945 B) 678
C) 439 D) 568
 
Answer & Explanation Answer: A) 945

Explanation:

Required numbers are 10,15,20,25,...,95
This is an A.P. in which a=10,d=5 and l=95.
Let the number of terms in it be n.Then t=95
So a+(n-1)d=95.
10+(n-1)*5=95,then n=18.
Required sum=n/2(a+l)=18/2(10+95)=945.

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Filed Under: Numbers

114 41920
Q:

The difference between the place value and the face value of 7 in the numeral 967452 is

A) 6393 B) 5831
C) 6993 D) 6339
 
Answer & Explanation Answer: C) 6993

Explanation:

(Place value of 7)-(face value of 7)
=7000-7=6993.

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Filed Under: Numbers

106 34486