GATE Questions and Answers with Explanation

Q:

A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?

A) Rs.37,500	B) Rs.36,400
C) Rs.37,415	D) Rs.36,500

Answer & Explanation Answer: A) Rs.37,500

Explanation:

Assume A be the cost price.

Therefore,
$(\frac{3}{5} \times A \times \frac{10}{100}) - (\frac{2}{5} \times A \times \frac{5}{100}) = 1500$

=> A = Rs 37,500.

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Filed Under: Profit and Loss
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30 21375

Q:

It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ?

A) 45 min	B) 25 min
C) 30 min	D) 36 min

Answer & Explanation Answer: C) 30 min

Explanation:

After 5 mins ..... 3 persons will get rumour
After 10 mins .... 3x2 + 3 = 9 = $3^{2}$ persons will get
after 15 =5x3 min ......9x2 + 9 =27 = $3^{3}$ persons will get news.
.
.
after 5x6 mins ... $3^{6}$ = 729 persons will get news.

Therefore, time taken to spread the rumour to 729 persons is 30 minutes.

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Filed Under: Arithmetical Reasoning
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23 21362

Q:

Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?

A) 27 sec	B) 31 sec
C) 23 sec	D) 29 sec

Answer & Explanation Answer: A) 27 sec

Explanation:

Time taken to meet for the first time anywhere on the track

= length of the track / relative speed

= 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

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Filed Under: Time and Distance
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24 21359

Q:

Square is to Triangle and Cube is to

A) Pyramid	B) Rectangle
C) Ice	D) Rhombus

Answer & Explanation Answer: A) Pyramid

Explanation:

Square is 2-dimensional 4 sided figure Whereas Cube is 3-dimensional figure which looks like Square.

Similarly, Triangle is 2-dimensional 3 sided figure Whereas Pyramid is 3-dimensional figure which looks like Triangle.

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Filed Under: Analogy
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14 21316

Q:

What value should come in place of the question mark (?) in the following question?

$264 \div \sqrt{576} + 11^{2} + 12 = ?^{2}$

A) 44	B) 12
C) 15	D) 14

Answer & Explanation Answer: B) 12

Explanation:
264 / 24 + 121 + 12 = (?)^2 11 + 121 + 12 = (?)^2 144 = (?)^2 (?) = 12

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 21288

Q:

Rangaswamy Cup is associated with

A) Football	B) Badminton
C) Cricket	D) Hockey

Answer & Explanation Answer: D) Hockey

Explanation:

Rangaswamy Cup is associated with Hockey. Introduced in 1928, the Rangaswami Cup, was originally known as Inter-Provincial Tournament meant to pick up players for the national team for the Olympics.

Rangaswamy_Cup_is_associated_with1552387636.jpg image

After some years, The Hindu Group in 1951 presented the Rangaswami Cup that was named after one of its editors and since then the tournament is known as the Rangaswami Cup.

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Filed Under: General Awareness
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5 21212

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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Filed Under: Numbers
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1 21185

Q:

P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days?

A) 16 days	B) 13 days
C) 15 days	D) 12 days

Answer & Explanation Answer: B) 13 days

Explanation:

Ratio of times taken by P & Q = 100 : 130 = 10:13

Let Q takes x days to do the work

Then, 10:13 :: 23:x

=> x = 23x13/10

=> x = 299/10

P's 1 day's work = 1/23

Q's 1 day's work = 10/299

(P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13

Hence, P & Q together can complete the work in 13 days.

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Filed Under: Time and Work
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17 21180

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