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Q:

Avanthi’s age is 1/6th of her father’s age. Her father’s age will be twice of Kapil’s age after 10 years. If Kapil’s eighth birthday was celebrated two years ago, then what is Avanthi’s present age ?

A) 6 years	B) 4 years
C) 7 years	D) None

Answer & Explanation Answer: D) None

Explanation:

As given Kapil's 8th birthday was celebrated 2 years ago,

Kapil’s present age = 8 + 2 = 10 years.

Father's age is twice of Kapil’s age after 10 years.
=> F + 10 = 2 (K + 10) = 2 (10+ 10)
F = 30years,

Avanthi's age =1/6(F) = 30/6 = 5 years.

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Filed Under: Problems on Ages
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Q:

What least number must be substracted from 627349 so that the remaining number is divisible by 15 ?

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

Answer & Explanation Answer: D) 4

Explanation:

On dividing 627349 by 15, we get remainder = 4.
Therefore, the obtained remainder is the least number to be subtracted from the given number so that the the mnumber is divisible by 15.
Here 4 is the least number to be subtracted from 627349 so that it is divisible by 15.

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Q:

Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + ....

A) 30,400	B) 30,200
C) 34,600	D) 38,400

Answer & Explanation Answer: A) 30,400

Explanation:

we can treat every two consecutive terms as one.
So, we will have a total of 100 terms of the nature:
(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....

We know the sum of n terms $\frac{n (n + 1)}{2}$

Now, a= 7, d=6 and n=100
Hence the sum of the given series is
S= 100/2 x[2 x 7 + 99 x 6]
=> 50[608]
=> 30,400.

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Q:

"I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years ?

A) Father = 50; Son =14	B) Father = 40; Son =24
C) Father = 60; Son =4	D) Father = 48; Son =16

Answer & Explanation Answer: B) Father = 40; Son =24

Explanation:

Let the present age of the man be 'P' and son be 'Q',
Given, P + Q = 64 or Q = (64 - P)
Now the man says "I am five times as old as you were, when I was as old as you are",
So, P = 5[B - (P - Q)]
We get 6P = 10Q,
Substitute value for Q,
6P = 10(64 - P),
Therefore P = 40, Q = 24.

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Q:

The value of -4-(-10) is how much greater then the value of -10-(-4) ?

A) 10	B) 6
C) 12	D) 0

Answer & Explanation Answer: C) 12

Explanation:

-4-(-10) = -4+10 = 6

-10-(-4) = -10+4= -6

Therefore, 6-(-6) = 6+6 = 12

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Filed Under: Mathematical Operations
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Q:

There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ?

A) 105	B) 7! x 6!
C) 7!/5!	D) 420

Answer & Explanation Answer: A) 105

Explanation:

Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room,

Then, ⁷C₁x ⁶C₂x ⁴C₄

_{= 7 x 15 x 1 = 105}

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Filed Under: Permutations and Combinations
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Q:

A polygon has 44 diagonals, then the number of its sides are ?

A) 13	B) 9
C) 11	D) 7

Answer & Explanation Answer: C) 11

Explanation:

Let the number of sides be n.

The number of diagonals is given by ⁿC₂ - n

^{Therefore, n}C₂ - n = 44, n>0

ⁿC₂ - n = 44

n²- 3n - 88 = 0

n²-11n + 8n - 88 = 0

n(n - 11) + 8(n - 11) = 0

n = -8 or n = 11.

As n>0, n will not be -8. Therefore, n=11.

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Q:

Statement: There was a spurt in criminal activities in the city during the recent festival season.
Courses of action:
a. The police should immediately investigate into the causes of this increase.
b. In future the police should take adequate precaution to avoid recurrence of such situation during festival.
c. The known criminals should be arrested before any such season.

A) Both a and b follows	B) Only c follows
C) Only a follows	D) Both b and c follows

Answer & Explanation Answer: A) Both a and b follows

Explanation:

The police ought to find out the lackenings in existing security arrangements and make up for these inadequacies to strengthen security and thus prevent criminal activities in the forthcoming festival. So, both a and b follow. Arresting the known criminals does not ensure safety, for a novice can also indulge in crime. So, c does not follow.

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