GATE Questions and Answers with Explanation

Q:

There are 11 True or False questions. How many ways can these be answered ?

A) 11!/2	B) 1024
C) 11!	D) 2048

Answer & Explanation Answer: D) 2048

Explanation:

Given 11 questions of type True or False

Then, Each of these questions can be answered in 2 ways (True or false)

Therefore, no. of ways of answering 11 questions = $2^{11}$ = 2048 ways.

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Filed Under: Permutations and Combinations
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9 8312

Q:

A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ?

A) Rs. 4	B) Rs. 3
C) Rs. 5	D) Rs. 1

Answer & Explanation Answer: B) Rs. 3

Explanation:

Let wholesaler dealers marked price = 100%, Retailer's C.P = 80%
And the retailer sells at 5% less than the marked price => S.P = 95%
If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16
Profit made by the retailer = 19-16 = Rs.3

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Filed Under: Profit and Loss
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11 8293

Q:

Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ?

A) 15 min 20 sec.	B) 16 min 40 sec.
C) 13 min 10 sec.	D) 14 min 40 sec.

Answer & Explanation Answer: D) 14 min 40 sec.

Explanation:

Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15

Remaining part = 1 - 7/15 = 8/15

Part filled by B in 1 minute = 1/20

1/20 : 8/15 :: 1 : k

k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.

The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

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Filed Under: Pipes and Cistern
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7 8276

Q:

Which of the following is a Composite number?

A) 0	B) 19
C) 29	D) 91

Answer & Explanation Answer: D) 91

Explanation:

Here in the given numbers 91 is a Composite number. Since it has factors of 7 and 13 other than 1 and itself.

Composite Numbers :

A composite number is a positive integer which is not prime (i.e., which has factors other than 1 and itself).

Examples :: 4, 6, 8, 12, 14, 15, 18, 20, ...

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Filed Under: Arithmetical Reasoning
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18 8270

Q:

A certain amount is divided among P, Q and R in the ratio of 3 : 7 : 6 respectively. If the difference between share of P and Q is Rs. 2700, what is R's share?

A) Rs. 4050	B) Rs. 2121
C) Rs. 5040	D) Rs. 3550

Answer & Explanation Answer: A) Rs. 4050

Explanation:

Let the ratio amount be 'p'

7p - 3p = 2700

4p = 2700

p = 675

R's Share = 675 × 6 = Rs. 4050

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Filed Under: Partnership
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14 8256

Q:

Can you find the mistake 1 2 3 4 5?

can_you_find_the_mistake_1_2_3_4_51539067038.jpg image

Answer

Here in the above given question, the mistake is "the is reapeated twice" before mistake.

Workspace

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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37 8256

Q:

From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is

A) 81.92L	B) 96L
C) 118.08L	D) None of these

Answer & Explanation Answer: C) 118.08L

Explanation:

The amount of petrol left after 4 operations

= $200 \times {(1 - \frac{40}{200})}^{4}$

= $200 \times {(\frac{4}{5})}^{4}$

= $200 \times (\frac{256}{625})$

= 81.92 litres

Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres

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Filed Under: Alligation or Mixture
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9 8255

Q:

Rearrange the following sentences (A), (B), (C), (D), (E) and (F) in the proper sequence to form a meaningful paragraph.

(A) It causes a lot of physical problems especially for our eyes, body and mind.
(B) Such a lifestyle makes man lazy and excessively dependent on machines.
(C) Innovative products such as computers, laptops, mobile phones,
(D) Harmful radiation causes various terminal diseases.
(E) Technology has advanced rapidly and man cannot seem to live without it now.
(F) iPads have made things easier for us, but it also has its disadvantages.

Which of the following options is the correct arrangement ?

A) E C B A D F	B) E C F A D B
C) D C B A E F	D) D E B A C F

Answer & Explanation Answer: B) E C F A D B

Explanation:

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Filed Under: Logical Sequence of Words
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