GATE Questions and Answers with Explanation

Q:

5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ?

A) 24 and 13 years	B) 48 and 24 years
C) 35 and 11 years	D) 33 and 15 years

Answer & Explanation Answer: C) 35 and 11 years

Explanation:

Let the age of sushma be x and
the age of her son is y
Then five years before x-5=5(y-5) ...(1)
Five years hence x+5 = 3(y+5)-8 .....(2)

By soving (1) & (2), we get
5y - 15 = 3y + 7
y = 11 => x = 35

Therefore, the age of Sushma = 35 and her son = 11.

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Filed Under: Problems on Ages
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Q:

Choose apropriate words which gives a complete meaning to the sentence from the given options.

we were thinking ______ it _______ something like a requiem for our age.

A) for, because	B) for, as
C) of, as	D) of, since

Answer & Explanation Answer: C) of, as

Explanation:

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28 7920

Q:

Find the C.I. on Rs. 15,225 for 9 months at 16% per annum compounded quarterly ?

A) Rs. 1911	B) Rs. 1909
C) Rs. 1901	D) Rs. 1907

Answer & Explanation Answer: C) Rs. 1901

Explanation:

P = Rs. 15225, n = 9 months = 3 quarters, R = 16% p.a. per quarter.

Amount = $15225 x {(1 + \frac{4}{100})}^{3}$

= (15225 x 26/25 x 26/25 x 26/25) = Rs. 17126.05

=> C.I. = 17126 - 15625 = Rs. 1901.05.

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Filed Under: Compound Interest
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10 7918

Q:

1001 A N means

Answer

1001 A N means 1001 Arabian Nights.

These are same as 12 S of the Z, 64 S on a C, 19 C in CB, 8 S on SS, ...

Workspace

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Subject: Word Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 7900

Q:

In a beach, Renu is running with her children and there she met Vishal and Laxmi. Vishal introduces Ravi to those children as " This person is the daughter of your mother's father's mother and is my sister." How is Vishal and Laxmi related to Renu ?

A) Brother and Sister	B) Uncle and Aunt
C) Father and Mother	D) Can't determine

Answer & Explanation Answer: B) Uncle and Aunt

Explanation:

Daughter of your mother's father's mother => Maternal grandmother => Renu's Aunt.

Hence, Laxmi is Renu's Aunt and Vishal is Renu's Uncle.

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Filed Under: Blood Relations
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27 7899

Q:

A plane is an undefined term because it

A) is a flat surface that extends indefinitely in all directions	B) is where other geometric shapes can be constructed
C) is described generally, not using a formal definition	D) can be named using three noncollinear points

Answer & Explanation Answer: C) is described generally, not using a formal definition

Explanation:

In geometry, we can define plane as a flat surface with no thickness.

The surface extends with no ends.

A plane does not have any edges even if we draw it on paper with edges, it does't mean it has edges.

Hence, A plane is an undefined term because it is described generally, not using a formal definition.

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Filed Under: Arithmetical Reasoning
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Q:

Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ?

A) $3 \frac{4}{49} d a y s$

B) $12 \frac{4}{49} d a y s$

C) $4 \frac{3}{49} d a y s$

D) $4 \frac{12}{49} d a y s$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: C) Option C

Explanation:

Raghu can complete the work in (12 x 9)hrs = 108 hrs.

Arun can complete the work in (8 x 11)hrs = 88 hrs.

Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88

(Raghu + Arun)'s 1 hrs work = $(\frac{1}{108} + \frac{1}{88}) = \frac{49}{2376}$

So, both Raghu and Arun will finish the work in $\frac{2376}{49} h r s$

Number of days of 12 hours each= $(\frac{2376}{49} \times \frac{1}{12})$ = $\frac{198}{49} = 4 \frac{3}{49} d a y s$

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Filed Under: Time and Work
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6 7893

Q:

The opposite of right is the opposite of

A) Left	B) Wrong
C) Give	D) Take

Answer & Explanation Answer: D) Take

Explanation:

The opposite of right is left. The opposite of left is take. And the opposite of take is give.

Hence, the opposite of right is the opposite of take which is left.

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Filed Under: Alphabet Test
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