GATE Questions

Q:

80% of 900 + 162 x 4 x ? = 113 - 99

A) 0.5 B) 1
C) 4 D) 0
 
Answer & Explanation Answer: A) 0.5

Explanation:

80x900/100 + 256 x 4 x ? = 1331 - 99

720 + 1024 x ? = 1232

? = 1232 - 720/1024

? = 512/1024 = 0.5

? = 0.5 

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Filed Under: Percentage
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11 5150
Q:

Prasanna invested certain amount in three different schemes X, Y and Z with the rate of interest 10% p.a, 12% p.a and 15% p.a respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme Z was 150% of the amount invested in Scheme X and 240% of the amount invested in Scheme Y, what was the amount invested in Scheme Y by Prasanna ?

A) Rs.6000 B) Rs.4500
C) Rs.7500 D) Rs.5000
 
Answer & Explanation Answer: D) Rs.5000

Explanation:

Let a, b and c be the amounts invested in schemes X, Y and Z respectively. Then,

As we know:

Simple interest (S.I.) = PTR/100

(a × 10 × 1/100) + (b × 12 × 1/100) + (c × 15 × 1/100) = 3200

= 10a + 12b + 15c = 320000 .........(1)

Now, c = 240% of b = 12b/5 .........(2)

And, c = 150% of a = 3a/2 => a = 2/3 c = (2 × 12)b/(3 × 5) = 8b/5 .......(3)

From (1), (2) and (3), we have

16b + 12b + 36b = 320000 => 64b = 320000 => b = 5000

∴ Sum invested in Scheme Y = Rs.5000.

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Filed Under: Percentage
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9 5145
Q:

Ryder Cup is associated with which game?

A) Golf B) Tennis
C) Hockey D) Cricket
 
Answer & Explanation Answer: A) Golf

Explanation:

Ryder Cup is associated with GOLF game.

The Ryder Cup is a biennial men's golf competition between teams from Europe and the United States.

The competition is contested every two years with the venue alternating between courses in the United States and Europe.

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Filed Under: Sports
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10 5142
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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7 5139
Q:

Guess the Hidden Alphabet in this Puzzle ?

missing_letter_41499670014.jpg image

A) X B) Y
C) B D) D
 
Answer & Explanation Answer: A) X

Explanation:

The logic in the given puzzle is 

Addition of numeric values of corresponding letters in the first three figures gives respective corresponding letter in fourth figure. 

i.e, A = 1 , W = 23 , B = 2 => 2 + 1 + 23 =26 = 'Z'

Similarly, L = 12, K = 11 , A = 1 => 1 + 11 + 12 = 24 = 'X'

Here the missing letter is 'X'.

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Filed Under: Missing letters puzzles
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16 5138
Q:

Find the one which does not belong to that group ?

A) Architect B) Blacksmith
C) Sculpture D) Tailor
 
Answer & Explanation Answer: A) Architect

Explanation:

All except Architect are manufactures.

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Filed Under: Analogy
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5 5134
Q:

A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ?

A) 142 B) 175
C) 212 D) 253
 
Answer & Explanation Answer: D) 253

Explanation:

The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on...
So,
22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.

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Filed Under: Permutations and Combinations
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4 5128
Q:

What is the main component of bones and teeth?

A) Calcium Phosphate B) Calcium Carbonate
C) Calcium Nitrate D) Calcium Sulphate
 
Answer & Explanation Answer: A) Calcium Phosphate

Explanation:

The main component of bones and teeth is Calcium Phosphate.

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Filed Under: General Science
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9 5128