GATE Questions and Answers with Explanation

Q:

What has a neck but no head and wears a cap?

Answer

A bottle has a neck but no head and wears a cap.

what_has_a_neck_but_no_head1603889734.jpg image

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Subject: Logic Puzzles Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: IT Trainer , Database Administration , Bank PO , Bank Clerk , Analyst

34 16149

Q:

What is the value of P in the following Equation ?

$19^{2.5} \times 19^{p} = 19^{7}$

A) 3.9	B) 4.1
C) 3.7	D) 4.5

Answer & Explanation Answer: D) 4.5

Explanation:

Given equation is

$19^{2.5} \times 19^{p} = 19^{7}$

Here it is in the form of $a^{m} \times a^{n} = a^{m + n}$

Here m = 2.5 , n = p, m+n = 7

=> 2.5 + p = 7

=> p = 7 - 2.5

=> p = 4.5

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Filed Under: Mathematical Operations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

25 16081

Q:

The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s ?

A) 24%	B) 23 1/3%
C) 25 1/2%	D) 22 8/9 %

Answer & Explanation Answer: B) 23 1/3%

Explanation:

y=100 x=130

130---------30
100---------? => 23 1/3%

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

8 16078

Q:

A is the father of B. But B is not the son of A. Then what is B to A?

A) Grandfather	B) Son-in-law
C) Granddaughter	D) Daughter

Answer & Explanation Answer: D) Daughter

Explanation:

The relation is father and daughter. As we go with male gender, will be son of A. But it is given in the question that B is not the son of A. Hence, te only possile is B is female and B is daughter of A.

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Filed Under: Blood Relations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

44 16024

Q:

Website address is a unique name that identifies a specific ___ on the web.

A) Link	B) Web browser
C) PDA	D) Web site

Answer & Explanation Answer: D) Web site

Explanation:

Website address is a unique name that identifies a specific web site on the web.

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Filed Under: Computer
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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24 15971

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 15899

Q:

Find the appropriate relation for quantity1 and quantity2 in the following question:

Quantity 1: In an examination, Ankita scored 35 marks less than Puneeta. Puneeta scored 65 more marks than Meenakshi. Rakhi scored 115 marks, which is 20 marks more than Meenakshi's. Simpy scored 108 marks less than the maximum marks of the test. What approximate percentage of marks did Simpy score in the examination, if she got 67 marks more than Ankita?

Quantity 2: The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

A) Quantity1 < Quantity2	B) Quantity1 ≤ Quantity2
C) Quantity1 ≥ Quantity2	D) Quantity1 > Quantity2

Answer & Explanation Answer: D) Quantity1 > Quantity2

Explanation:

Quantity1-
Rakhi’s marks= 115
Meenakshi’s marks= 115 - 20 = 95
Puneeta’s marks= 95 + 65= 160
Ankita’s marks=160 - 35= 125
Simpy’s marks= 125+ 67= 192
Total maximum marks= 192 + 108= 300
Required percentage marks of Simpy
= $\frac{192}{300} \times 100 = 64 %$
Quantity2-
Let length and breadth be 100.

After increase in length it become 160, then
reduction in breadth be ‘x’
Now, 160*x= 100*100
Hence, x = $\frac{10000}{160} = 62.5$

100-62.5=37.5%

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE
Job Role: Bank Clerk , Bank PO

2 15876

Q:

The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop?

A) 444	B) 344
C) 244	D) 144

Answer & Explanation Answer: D) 144

Explanation:

Given ratio of pens and pencils = 3 :2

Number of Pens = 3x

Number of Pencils = 2x

Average number of pencils & Pens = $\frac{3 x + 2 x}{2} =$ 180

5x = 360

=> x = 72

Hence, the number of pencils = 2x = 72 x 2 = 144.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

36 15876

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