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Q:

If the age of father is 4 years greater than the mother and 28 years greater than the son,then what is the age of the father?

which one should be used to calculate the age ?

A) mother/son = Non-prime number
B) mother/son = Perfect square number

A) only A alone is sufficient B) only B alone is sufficient
C) both A and B are required D) Cannot be answered
 
Answer & Explanation Answer: B) only B alone is sufficient

Explanation:

For the given problem there are three possiblities.
Father's age can be = 36, 31, 29
Mother's age = 32, 27, 25
Son's age = 8, 3, 1.

By using only B it can be calculated.

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Filed Under: Statement and Conclusions
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Q:

Complete the missing number in the given series.

5,  20,  76,  (—),  448

A) 185 B) 225
C) 415 D) 232
 
Answer & Explanation Answer: B) 225

Explanation:

The series follows the following pattern

5 X 5 – 5 = 20

20 X 4 – 4 = 76

76 X 3 – 3 = 225

225 X 2 – 2 = 448

Hence, the term 225 denoted by (d) completes the series

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Filed Under: Odd Man Out
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Q:

If the positions of the first and the third digit within each number are interchanged, which of the following will be the third digit of the second lowest number ?

987, 514, 658, 487, 404, 269

A) 8 B) 9
C) 2 D) 4
 
Answer & Explanation Answer: D) 4

Explanation:

According to the question, after the position of the first and third digit interchanged new numbers are
789, 415, 856, 784, 404, 962

962, 856, 789, 784, 404, 415
Here the second lowest number is 404 and the last digit of it is '4'.

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Q:

The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ?

A) 28 B) 19
C) 37 D) 17
 
Answer & Explanation Answer: D) 17

Explanation:

Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.
P + Q = 8 ----- (1)
(10Q + P) - (10P + Q) = 54
9(Q - P) = 54
(Q - P) = 6 ----- (2)
Solve (1) and (2) P = 1 and Q = 7
The required number is = 17

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Filed Under: Problems on Numbers
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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 & Explanation 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

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Filed Under: Problems on Numbers
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Q:

Can you find the next number in the sequence "0, 1, 4, 7, 8, 5, 2, 3, 6, 9, 9, 6, 3, 2, 5, 8, 7, 4, 1, 0, 0, …" ?  

A) 0 B) 1
C) 4 D) 7
 
Answer & Explanation Answer: B) 1

Explanation:

The pattern follows the palindrome sequence.

Here the digits 0 1 4 7 8 5 8 3 6 9    9 6 3 8 5 8 7 4 1 0   0 1 4 7 ...

So the next digit in the sequence is 1.

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Filed Under: Number Series
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Q:

A kiddy bank of a child contains all Rs. 1, 50 paise and 25 paise coins. What is the total amount in the bank ?
(1) Total number of coins are 20
(2) The number of 50 paise and 25 paise coins are in the ratio of 7:3.

A) only 1 is needed B) only 1 is needed
C) Both and 2 are needed D) None
 
Answer & Explanation Answer: C) Both and 2 are needed

Explanation:

Given that 50 paise and 25 paise coins are in the ratio of 7:3, they can be either 7 & 3 or 14 & 6.
As total 20 coins also includes Rs. 1 coins, so 50 paise & 25 paise coins are 7 & 3 respectively & Rs. 1 coins are 10.
Total amount = (100x10) + (50x7) + (25x3)=1425 paise or Rs.14.25.

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Filed Under: Arithmetical Reasoning
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Q:

The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ?

A) 28 B) 19
C) 37 D) 46
 
Answer & Explanation Answer: A) 28

Explanation:

Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28
The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

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Filed Under: Numbers
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