GATE Questions

Q:

If J is the interest on K and K is the interest on L, the rate and time is the same on both the cases. What is the relation between J, K and L  ?

A) J x J = KL B) K x K= JL
C) L x L = JK D) JKL = 1
 
Answer & Explanation Answer: B) K x K= JL

Explanation:

Let the Time be 'N' and Rate be 'R' 

J = (K x NR)/100 K = (L x NR)/100 

J/K = NR/100 K/L = NR/100 

J/K = K/L 

K x K = JL

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Filed Under: Simple Interest
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Q:

K can lay Highway road between two cities in 16 days. L can do the same job in 12 days. With the help of M, they completes the job in 4 days. How much days does it take for M alone to complete the work ?

A) 47/7 days B) 59/6 days
C) 48/5 days D) 57/5 days
 
Answer & Explanation Answer: C) 48/5 days

Explanation:

Amount of work K can do in 1 day = 1/16

Amount of work L can do in 1 day = 1/12

Amount of work K, L and M can together do in 1 day = 1/4

Amount of work M can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48

=> Hence M can do the job on 48/5 days = 9 (3/5) days  

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Filed Under: Time and Work
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9 4885
Q:

A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ?

A) 36 kmph B) 32 kmph
C) 28 kmph D) 34 kmph
 
Answer & Explanation Answer: A) 36 kmph

Explanation:

Let the speed of goods truck be 'p' kmph
Distance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs.
10p = 4 x 90
p = 36kmph.
Therefore, the speed of the goods truck is p = 36 kmph.

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Filed Under: Time and Distance
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6 4882
Q:

Solve this logical Math puzzle?

Solve_this_math_puzzles1542974183.jpg image

A) 1 B) 0
C) 10 D) 5
 
Answer & Explanation Answer: A) 1

Explanation:

From the given data,

11+ 11 = 4 => 1 + 1  +  1 + 1 = 4

12 + 12 = 6 => 1 + 2  + 1 + 2 = 6

13 + 1 3 = 8 => 1 + 3  + 1 + 3 = 8


Similarly,

14 + 14 = 10 => 1 + 4  +  1 + 4  = 5 + 5 = 10

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Filed Under: Math Puzzles
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15 4880
Q:

The Indian to beat the computers in mathematical wizardry is

A) Shakuntala Devi B) Raja Ramanna
C) Rina Panigrahi D) Ramanujam
 
Answer & Explanation Answer: A) Shakuntala Devi

Explanation:
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3 4872
Q:

Slip rings are usually made of

A) Aluminium B) Copper
C) Phosphor Bronze D) Carbon
 
Answer & Explanation Answer: C) Phosphor Bronze

Explanation:

A Slip ring is a ring in a dynamo or electric motor which is attached to and rotates with the shaft, passing an electric current to a circuit via a fixed brush pressing against it.

 

Slip rings are usually made of Phosphor Bronze.

 

Slip ring motors usually have a 'phase-wound' rotor. This type of rotor has a 3-phase, double-layer, distributed winding consisting of coils used in alternators. The rotor core is made up of steel laminations which have slots to accommodate formed 3-single phase windings.

slip_rings_are_usually_made_of1535005379.png image

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Filed Under: Physics
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4 4865
Q:

How many more words can be formed by using the letters of the given word 'CREATIVITY'?

A) 851250 B) 751210
C) 362880 D) 907200
 
Answer & Explanation Answer: D) 907200

Explanation:

The number of letters in the given word CREATIVITY = 10

 

Here T & I letters are repeated

 

=> Number of Words that can be formed from CREATIVITY = 10!/2!x2! = 3628800/4 = 907200

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Filed Under: Permutations and Combinations
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8 4864
Q:

Which of the Phrases (1), (2), (3) and (4) given below should replace the phrases printed in bold in the sentence to make it grammatically correct. 

 

They claim that their employees are highly committing and disciplined.

A) Have been highly committed B) Have high commitments
C) Are highly committed D) No correction required
 
Answer & Explanation Answer: C) Are highly committed

Explanation:

As per the rule of adverb, the adverb is followed by the third form of verb.

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Filed Under: Alphabet Test
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