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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
Related Questions
Q:

What is 0.53 + 0.53equal to ?

A) 1.068 B) 1.072
C) 1.082 D) 1.096
 
Answer & Explanation Answer: A) 1.068

Explanation:
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1 1087
Q:

Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

3) one of p and q may be prime and the other composite.

Which of the above statements are correct?

 

 

A) 1 and 2 only B) 2 and 3 only
C) 1 and 3 only D) 1, 2 and 3
 
Answer & Explanation Answer: D) 1, 2 and 3

Explanation:
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1 945
Q:

What is the unit place digit in the expansion of  773?

A) 1 B) 3
C) 7 D) 9
 
Answer & Explanation Answer: C) 7

Explanation:
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0 1438
Q:

What is the sum of all prime numbers between 60 and 80?

A) 272 B) 284
C) 351 D) 414
 
Answer & Explanation Answer: C) 351

Explanation:
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0 694
Q:

Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers?

 

A) 33 B) 44
C) 55 D) 66
 
Answer & Explanation Answer: C) 55

Explanation:

All such 2 digit numbers are 11,22,33,44....... upto 99

Forms an AP

So sum = n/2(a+l)

= 9/2(11+99)

Average = sum/9 = ½(11+99) = 55

 

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0 1012
Q:

Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0 B) 0 and 3
C) 3 and 0 D)  0 and any interger
 
Answer & Explanation Answer: D)  0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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0 1045
Q:

A prime number contains the digit X at unit’s place. How many such digits of X are possible?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:
For prime no units place cannot be occupied by even number except for 2
Thus no of digits occupying unit digit of prime numbers = 6 (1,2,3,5,7,9)
Example 2,3,5,7,11,19 in itself are prime numbers
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1 2303
Q:

The number 3521is divided by 8. What is the remainder?

A) 1 B) 3
C) 7 D) 9
 
Answer & Explanation Answer: B) 3

Explanation:
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