GATE Questions and Answers with Explanation

Q:

The compounded ratio of (2 : 3), (6: 11) and (11 :2) is

A) 1:2	B) 2:1
C) 11:24	D) 36:121

Answer & Explanation Answer: B) 2:1

Explanation:

Compounded Ratio :: When we compound two or more ratio's with each other through product or multiplication, the result is simply a compound ratio.

Thus, the product of two or more ratios; i.e, ab:cd is a ratio compounded of the simple ratios a:c and b:d.

Required compounded ratio = (2/3 x 6/11 x 11/2) = 2/1.

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions - Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

303 63911

Q:

Fastest Shorthand Writer was

A) Dr. G. D. Bist	B) J.R.D. Tata
C) J.M. Tagore	D) Khudada Khan

Answer & Explanation Answer: A) Dr. G. D. Bist

Explanation:

Dr. G. D. Bist, Guinness Record Holder, the first-ever Ph.D. in Stenography in the world.

fastest_shorthand_writer_-_Dr._G_._D_._Bist_1562583195.jpg image

He had achieved a highest speed of 250 w.p.m. in Shorthand.

Report Error

View Answer Report Error Discuss

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

478 63219

Q:

An air conditioner can cool the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately ?

A) 18 minutes	B) 19 minutes
C) 22 minutes	D) 24 minutes

Answer & Explanation Answer: C) 22 minutes

Explanation:

Let the two conditioners be A and B

'A' cools at 40min

'B' at 45min

Together = (a x b)/(a + b)

= (45 x 40)/(45 + 40)

= 45 x 40/85

= 21.1764

= 22 min (approx).

Report Error

View Answer Report Error Discuss

Filed Under: Time and Work - Quantitative Aptitude - Arithmetic Ability
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

79 62727

Q:

Biped : Quadruped :: Ostrich : ?

A) Cat	B) Kangaroo
C) Penguin	D) Duck

Answer & Explanation Answer: A) Cat

Explanation:

A biped is an animal that uses two legs for walking and the quadrupeds are animals that use four legs for walking.

From the Given options, Cat only have 4 legs.

So Biped : Quadruped :: Ostrich : Cat.

Report Error

View Answer Report Error Discuss

Filed Under: Analogy - Verbal Reasoning - Mental Ability
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

164 60683

Q:

Simplify the following :

$\frac{37^{3} + 35^{3} + 28^{3} - 3 x 37 x 35 x 28}{37^{2} + 35^{2} + 28^{2} - 37 x 35 - 35 x 28 - 37 x 28}$ ?

A) 100	B) 1
C) 4	D) 0

Answer & Explanation Answer: A) 100

Explanation:

Given $\frac{37^{3} + 35^{3} + 28^{3} - 3 x 37 x 35 x 28}{37^{2} + 35^{2} + 28^{2} - 37 x 35 - 35 x 28 - 37 x 28}$

It is in the form of

$\frac{a^{3} + b^{3} + c^{3} - 3 a b c}{a^{2} + b^{2} + c^{2} - a b - b c - c a}$ = a + b + c

Here a = 37, b = 35 & c = 28

=> a + b + c = 37 + 35 + 28 = 100

Therefore, $\frac{(37)^{3}+(35)^{3}+(28)^{3}-3x37x35x28}{(37)^{2}+(35)^{2}+(28)^{2}-37x35-35x28-37x28}$ = 100

Report Error

View Answer Report Error Discuss

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

19 59938

Q:

Which of the following is a Trans- Himalayan river?

A) Ganga	B) Yamuna
C) Indus	D) Ravi

Answer & Explanation Answer: C) Indus

Explanation:

Two sub groups of Himalayan Rivers are Trans Himalayan Rivers and Himalayan Rivers.

Trans Himalayan Rivers :

These rivers originate beyond the Himalayas. They are The Indus, The Sutlej and The Brahmaputra Rivers.

Himalayan Rivers :

These are the rivers originate from Himalayas. They are The Ganga, The Yamuna and their tributaries.

Report Error

View Answer Report Error Discuss

Filed Under: Indian Geography
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank PO

349 59619

Q:

What was the day of the week on 17th June, 1998 ?

A) Monday	B) Tuesday
C) Wednesday	D) Friday

Answer & Explanation Answer: C) Wednesday

Explanation:

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
Odd days in 1600 years = 0
Odd days in 300 years = 1
97 years has 24 leap years + 73 ordinary years.
Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.
Jan. Feb. March. April. May. June.
(31 + 28 + 31 + 30 + 31 + 17) = 168 days
168 days = 24 weeks = 0 odd day.
Total number of odd days = (0 + 1 + 2 + 0) = 3.
Given day is Wednesday.

Report Error

View Answer Report Error Discuss

Filed Under: Calendar - Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

342 56893

Q:

A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?

A) 116%	B) 166.66%
C) 60%	D) 100%

Answer & Explanation Answer: B) 166.66%

Explanation:

Let the cost price of 1-liter pure milk be Re.1, then

$\{\begin{cases} 6 l i t e r s (m i l k) \to C . P = R s . 6 \\ 2 l i t e r s (w a t e r) \to C . P = R s . 0 \end{cases} \to C P = R s . 6 o n l y$

8 litre mixture =>

SP => 8 x 2 = Rs. 16

Profit % = $\frac{16 - 6}{6} x 100 = \frac{1000}{6} = 166.66 %$

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss - Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

381 55964

GATE Questions

Quick Links

Exams

Test Series