GATE Questions

Q:

On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?

A) Rs. 5422 B) Rs. 10,500
C) Rs. 12,800 D) Rs. 15,000
 
Answer & Explanation Answer: B) Rs. 10,500

Explanation:

The ratio of distribution should be:
21 x 15 : 15 x 35 : 35 x 21
= 315 : 525 : 735
= 3 : 5 : 7
The smallest share will be of worth:
3/15 x 52,500 = Rs. 10,500

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Filed Under: Ratios and Proportions
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6 6440
Q:

After independence, the first state organized on the basis of language age is  ?

A) Karnataka B) Punjab
C) Gujarat D) Andhra Pradesh
 
Answer & Explanation Answer: D) Andhra Pradesh

Explanation:
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Filed Under: Indian History
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9 6437
Q:

When Ankith saw Sanvi, he recalled, " She is the daughter of the father of my daughter's mother." Who is Sanvi to Ankit ?

A) sister B) daughter-in-law
C) sister-in-law D) cousin
 
Answer & Explanation Answer: C) sister-in-law

Explanation:

Ankit's daughter's mother---Ankit's wife; Ankit's wife's father---Ankit's father-in-law;
Father-in-law's daughter--- Ankit's sister-in-law. So, Sanvi is sister-in-law of Ankit.

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Filed Under: Blood Relations
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6 6436
Q:

In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ?

A) 127.5 m B) 254 m
C) 184 m D) 212 m
 
Answer & Explanation Answer: A) 127.5 m

Explanation:

When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.

When B runs 900 m, distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 m.

In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.

In a race of 600 m, the number of meters by which A beats C

= (600 x 212.5)/1000 = 127.5 m.

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Filed Under: Races and Games
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36 6435
Q:

Minute is to hour as second is to

A) Milli seconds B) Hour
C) Minute D) All of the above
 
Answer & Explanation Answer: C) Minute

Explanation:

We know that, 60 minutes = 1 Hour. Similarly, 60 seconds = 1 Minute.

 

Therefore, Minute is to hour as second is to Minute.

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Filed Under: Analogy
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8 6431
Q:

What number should be Replaced ?

19113682_1335002436606857_8814713213200837998_n1499843587.jpg image

A) 15 B) 17
C) 10 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

Sum of numbers in the outer circle in before Arc should come in inner circle patterns in the clock wise direction next Arc.

i.e, 9+6 = 15 comes in next arc of inner circle

7+3 = 10 comes in next arc of inner circle

In the same way, 4+2 = 6 comes in place of '?'.

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Filed Under: Logic Puzzles
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13 6423
Q:

The Value of  logtan10+logtan20++logtan890 is

A) -1 B) 0
C) 1/2 D) 1
 
Answer & Explanation Answer: B) 0

Explanation:

= log tan10+log tan890 + log tan20+ log tan880++log tan450  

 

= log [tan10 × tan890] + log [tan20 × tan880 ] ++log1  

 

 tan(90-θ)=cotθ and tan 450=1  

 

= log 1 + log 1 +.....+log 1 

 

= 0.

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Filed Under: Logarithms
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27 6422
Q:

Who became the first woman Director of an IIM ?

A) Deena Mehta B) Neelu Rohmetra
C) Bhimaraya Metri D) None
 
Answer & Explanation Answer: B) Neelu Rohmetra

Explanation:

Dr. Neelu Rohmetra from Jammu University has been appointed as one of the heads of IIMs. She became the first woman director of Indian Institute of Management Sirmaur, Himachal Pradesh. Dr. Neelu Rohmetra is the founder of the director of International Centre for Cross-Cultural Research and Human Resource Management (ICccR and HRM).

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Filed Under: General Awareness
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