GATE Questions

Q:

Priya can do a work in 16 days. In how many days will the work be completed by Sai, if the efficiency of Sai is 60% more than that of Priya ?

A) 8 days B) 12 days
C) 14 days D) 10 days
 
Answer & Explanation Answer: D) 10 days

Explanation:

Ratio of efficiencies of Priya and Sai is

Sai : Priya = 160 : 100 = 8 : 5

Given Priya completes the work in 16 days

Let number of days Sai completes the work be 'd'

=> 5×16 = 8×d

d = 10 days.

Therefore, number of days Sai completes the work is 10 days.

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Filed Under: Time and Work
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13 4269
Q:

The intersection of a column and a row

A) Cell B) Menu
C) Key D) Field
 
Answer & Explanation Answer: A) Cell

Explanation:

The intersection of a column and a row in a spread sheet is called as a cell or a bon.

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Q:

Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ?

A) 76.8 B) 86.8
C) 78.8 D) 84.8
 
Answer & Explanation Answer: D) 84.8

Explanation:

Let 'M' be the maximum marks in the examination.

Therefore, Madhu got 32% of M = 32M/100 = 0.32M
And Kumar got 42% of M = 42M/100 = 0.42M.
In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1)

The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2)

Now, Equating (1) and (2), we get
0.1M = 24 => M = 24/0.1 = 240
'M' is the maximum mark and is equal to 240 marks.
We know that Madhu got 32% of the maximum marks.
Therefore, Madhu got 32 x 240/100 = 76.8 marks.
We also know that Madhu got 8 marks less than the cut-off marks.

Therefore, the cut-off marks will be 8 marks more than what Madhu got
= 76.8 + 8 = 84.8.

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Filed Under: Percentage
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11 4262
Q:

75% of 450 + ? % of 560 = 600 

A) 52.385 B) 46.875
C) 42.155 D) 40.555
 
Answer & Explanation Answer: B) 46.875

Explanation:

75% of 450 + ? % of 560 = 600 

75 x 450100 + ? x 560100 = 60075 x 92 + 28p5 = 60075x9x5 + 56p10 = 6003375 + 56p = 600056p = 2625p = 46.875

 

Hence, in the given question ? = 46.875

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Filed Under: Percentage
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3 4259
Q:

Oxidation Number of 'S' in H2SO4?

A) +6 B) +2
C) -6 D) -2
 
Answer & Explanation Answer: A) +6

Explanation:

In H2SO4,

Hydrogen has a charge of +2, with each hydrogen has +1.

Oxygen has  a charge of -8, with each oxugen has -2.

Total charge = (2 - 8) = -6

Therefore, the Oxidation number of Sulphur S is '+6' because to make the compound stable.

 

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Filed Under: Chemistry
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11 4257
Q:

An office is divided into 8 cubicles. How many of the cubicles are painted if only 1/8 of the cubicles are painted?

A) 2 B) 4
C) 8 D) 1
 
Answer & Explanation Answer: D) 1

Explanation:

Given total number of the cubicles = 8

Given that only 1/8 of the cubicle is painted

 

Then of the total 8 cubicles, 1/8 is

 

1/8 x 1 = 1 cubicle. 

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Filed Under: Logic Puzzles
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16 4252
Q:

Evaluate : 3.392-2.6123.39-2.69?

A) 3 B) 4
C) 6 D) 1
 
Answer & Explanation Answer: C) 6

Explanation:

 

It is in the form of a2-b2a-b = a+ba-ba-b = a+b

 

Here a = 3.39   b = 2.61 

 

 = 3.39 + 2.61 = 6.

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Filed Under: Decimal Fractions
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6 4252
Q:

If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ?

A) 100 mts B) 96 mts
C) 98 mts D) 120 mts
 
Answer & Explanation Answer: C) 98 mts

Explanation:

Let the distance between home and school is 'x'.
Let actual time to reach be 't'.
Thus, x/4 = t + 4 ---- (1)
and x/6 = t - 30 -----(2)
Solving equation (1) and (2)
=> x = 98 mts.

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Filed Under: Time and Distance
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