4
Q:

The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 

A) 87 B) 81
C) 83 D) 85

Answer:   A) 87



Explanation:

Cp1 = p2 - p1 ,
Cp2 = p3 - p2
..
..
..
Cp23 = p24 - p23
Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)
All terms get cancelled, except p1 = 2 and p24 = 89
So Sum = -p1 + p24
Sum of series = -2 + 89 = 87

Subject: Problems on Numbers
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10 Consecutive numbers are given. If the average of the two numbers given in the middle is 13.5, then what is the sum of the first 6 numbers?

A) 65 B)  59
C) 69 D) 80
 
Answer & Explanation Answer: C) 69

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Q:

1.1 + 12.12 + 123.123 = ?

A) 134.343 B) 133.433
C) 132.123 D) 136.343
 
Answer & Explanation Answer: D) 136.343

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Which of the following is in ascending order?

A) 2/3, 3/4, 4/5, 1/2 B) 3/4, 4/5, 1/2, 2/3
C) 1/2, 2/3, 3/4, 4/5 D) 4/5, 1/2, 2/3, 3/4
 
Answer & Explanation Answer: C) 1/2, 2/3, 3/4, 4/5

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0 263
Q:

Find the least number to be added to 1739 so that it is exactly divisible by 11.

A) 11 B) 2
C) 1 D) 10
 
Answer & Explanation Answer: D) 10

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Q:

Which instrument is used for viewing the sun?

A) Stroboscope B) Telescope
C) Helioscope D) Sun meter
 
Answer & Explanation Answer: C) Helioscope

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Q:

Which of the following is the least of all?

A) 0.5 B) 1/0.5
C) 0.5 * 0.5 D) 0.5 * 2
 
Answer & Explanation Answer: C) 0.5 * 0.5

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Q:

If the sum of digits is 9 and the difference between the digit in the ten's place and unit's place is 1, then the two-digit number is?

A) 45 B) 63
C) 54 D) 72
 
Answer & Explanation Answer: C) 54

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Q:

Which of the following numbers is composite?

 

A) 47 B) 57
C) 37 D) 67
 
Answer & Explanation Answer: A) 47

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