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:

What will come in place of the question mark in the series below?

7, 4.5, 5.5, 12, 49, ?

A) 393 B) 396
C) 354 D) 367
 
Answer & Explanation Answer: A) 393

Explanation:

Ans. 
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393

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2 7809
Q:

What will come in place of the question mark (?) in the following number series?

3240, 540, 108, 27, ?, 4.5

A) 7 B) 10
C) 9 D) 8
 
Answer & Explanation Answer: C) 9

Explanation:

Ans. 
540 = 3240/6
108 = 540/5
27 = 108/4
? = 27/3, i.e. ? = 9

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1 10040
Q:

There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.

A) 1/12 B) 2/14
C) 1/14 D) 2/13
 
Answer & Explanation Answer: C) 1/14

Explanation:

Ans. C.
Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x 2 + 22x
11x 2 - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14

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2 3238
Q:

There is a three digit number. The digit at the tenth place is 3. If the place of all the digits are replaced with each other symmetrically about the tens position,then the new number obtained is 396 more than the original three digit number. The sum of the digits at unit & hundredth place is 14. Find out the original number?

A) 513 B) 539
C) 439 D) 613
 
Answer & Explanation Answer: B) 539

Explanation:

Ans.
Let digit = xyz
Given y = 3
According to the question = (100z+10y+x) - (100x+10y+z) = 396x99z-99x = 396
Z-x = 4
Also, Z+ x = 14
Solving (i) & (ii)
Z = 9 , x= 5
The original number is 539

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0 1466
Q:

Direction: What should come in the place of question mark (?) in the following number series? 24, 25, ?, 41, -8, 73

A) 13 B) 16
C) 25 D) 43
 
Answer & Explanation Answer: B) 16

Explanation:

The pattern followed is 

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0 1610
Q:

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

7, 10, 16, 28, ?, 100

A) 34 B) 40
C) 52 D) 60
 
Answer & Explanation Answer: C) 52

Explanation:

The pattern followed is +3 , +6 , +12 , +24 , +48

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0 63287
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 8814
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 10072