GATE Questions and Answers with Explanation

Q:

An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?

A) Rs. 4082.40	B) Rs. 1024.21
C) Rs. 2810.6	D) Rs. 3214

Answer & Explanation Answer: A) Rs. 4082.40

Explanation:

Length of the first carpet = (1.44)(6) = 8.64 cm

Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)

= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m

Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40

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Filed Under: Area
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11 10222

Q:

The computer that process both analog and digital is called

A) Hybrid computer	B) Mainframe computer
C) Digital computer	D) Analog computer

Answer & Explanation Answer: A) Hybrid computer

Explanation:

The computer that process both analog and digital is called Hybrid computer.

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Filed Under: Computer
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6 10221

Q:

There is 50% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate ?

A) Rs. 5422	B) Rs. 5489
C) Rs. 3972	D) Rs. 6145

Answer & Explanation Answer: C) Rs. 3972

Explanation:

Let p = Rs. 100.

Then, S.I is Rs. 50 and time = 5 years.

$∴ R = \frac{100 \times 50}{100 \times 5}$ = 10% p.a.

Now, p = Rs. 12,000 , T = 3 years and R = 10% p.a.

C.I. = Rs. $12000 \times \{{(1 + \frac{10}{100})}^{3} - 1\}$ = Rs. 3972

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Filed Under: Compound Interest
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7 10203

Q:

In how many ways can 100 soldiers be divided into 4 squads of 10, 20, 30, 40 respectively?

A) 1700	B) 18!
C) 190	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

$100 C_{10} + 90 C_{20} + 70 C_{30} + 40 C_{40} = \frac{100!}{10! x 20! x 30! x 40!}$

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Filed Under: Permutations and Combinations
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4 10190

Q:

The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price?

A) Rs. 380	B) Rs. 420
C) Rs. 460	D) Rs. 440

Answer & Explanation Answer: B) Rs. 420

Explanation:

As given in the question, Marked price is 25% more than the Cost price.

=> C.P of the article = $\frac{3}{4} x 400 = 300$

Now,

Let the original S.P of the article be Rs. P

Now the new S.P = P + $\frac{(16.666 + 13.333)}{300} x P$

=> S.P = $\frac{7 P}{6}$

According to the question,

$\frac{7 P}{6} - 300 = 2 (P - 300)$

=> 5P = 1800

=> P = Rs. 360

Hence, the increased S.P = 360 x 7/6 = Rs. 420.

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Filed Under: Profit and Loss
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11 10172

Q:

Bread : Yeast :: Curd : ?

A) Fungi	B) Bacteria
C) Germs	D) Virus

Answer & Explanation Answer: B) Bacteria

Explanation:

First is produced by the action of the second.

Hence, Bread : Yeast :: Curd : Bacteria.

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Filed Under: Analogy
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6 10168

Q:

India is the largest producer of

A) Cotton	B) Milk
C) Mangoes	D) All the above

Answer & Explanation Answer: D) All the above

Explanation:

As per the latest updates, India is :

Largest producer of milk.

Largest producer of millets in the world.

Largest producer of jute.

Largest producer of ginger.

Largest producer of bananas.

Largest producer of castor oil seeds.

Largest producer of mangoes.

Largest producer of safflower oil seeds.

Largest producer of papayas.

Largest producer of cottonseed (As per International Cotton Advisory Committee (ICAC) report for the month of March 2017)

Second largest producer of tea, the first position being held by China.

Second largest producer of sugarcane, the first position being held by Brazil.

Second largest producer of wheat, the first position being held by China.

Second largest producer of onions, the first position being held by China.

Second largest producer of potatoes, the first position being held by China.

Second largest producer of garlic, the first position being held by China.

Second largest producer of rice, the first position being held by China.

Second largest producer of cement., next to China.

Second largest producer of silk, the first position being held by China.

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Filed Under: General Awareness
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6 10163

Q:

Two trains of equal length are running on parallel lines in the same direction at 36 km/hr and 26 km/hr. The faster train passes the slower train in 36 sec. The length of each train is ?

A) 28 mts	B) 54 mts
C) 24 mts	D) 50 mts

Answer & Explanation Answer: D) 50 mts

Explanation:

Let the length of each train be x mts.

Then, distance covered = 2x mts.

Relative speed = 36 - 26 = 10 km/hr.

= 10 x 5/18 = 25/9 m/sec.

2x/36 = 25/9 => x = 50 mts.

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Filed Under: Problems on Trains
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8 10138

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