GATE Questions

Q:

In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ?

A) 5! B) 6!
C) 4! D) Can't determine
 
Answer & Explanation Answer: D) Can't determine

Explanation:

NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions.

And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions.

Therefore, Can't be determined.

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Filed Under: Permutations and Combinations
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Q:

 A motorboat takes half time to cover a certain distance downstream than upstream. What is the ratio between rate of current and rate of boat in still water?

A) 1 : 3 B) 3 : 2
C) 2 : 3 D) 3 : 1
 
Answer & Explanation Answer: A) 1 : 3

Explanation:

Let the speed of the boat in still water is 'w'

Speed of the current is 'c'

Let the distance between two places is 'd'

According to the question, motorboat takes half time to cover a certain distance downstream than upstream.

dw+c = 12dw-c

=> 2w - 2c = w + c

=> w = 3c

=> c : w = 1 : 3

 

Hence, the ratio between rate of current(c) and rate of boat in still water(w) = 1 : 3

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Q:

Reptile is to Lizard as Flower is to

A) Orchids B) Stem
C) Leaf D) Petal
 
Answer & Explanation Answer: A) Orchids

Explanation:

Here Lizard is a type of Reptiles whereas Orchid is a type of flowers. Other than Orchids all are parts of Plants.

 

Hence, Reptile is to Lizard as Flower is to Orchids.

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Filed Under: Analogy
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10 6162
Q:

Two equal sums were lent, one at the rate of 11% per annum for five years and the other at the rate of 8% per annum for six years, both under simple interest. If the difference in interest accrued in the two cases is Rs 1008. Find the sum?

A) Rs. 14,400 B) Rs. 15,600
C) Rs. 14,850 D) Rs. 15,220
 
Answer & Explanation Answer: A) Rs. 14,400

Explanation:

Let the required Sum = Rs.S

 From the given data,

 1008 = [(S x 11 x 5)/100] - [(S x 8 x 6)/100]

 => S = Rs. 14,400.

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Filed Under: Simple Interest
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18 6157
Q:

On Rs. 3500 invested at a simple interest rate of 7 per cent per annum, Rs. 500 is obtained as interest in certain years. In order to earn Rs. 800 as interest on Rs. 4900 in the same number of years, what should be the rate of simple interest?

A) 8% B) 7.5%
C) 9% D) 8.5%
 
Answer & Explanation Answer: A) 8%

Explanation:

From the given data,

3500x7xt/100 = 500

=> t = 100/49 years

Now, in the second case

The interest per year = 49/100 x 800 = 392

 => 4900 x 1 x r/100 = 392

=> r = 8%

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Filed Under: Simple Interest
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10 6150
Q:

74.99% of 1299 + 8.98% of 1899 = ? 

A) 1378 B) 1301
C) 1212 D) 1197
 
Answer & Explanation Answer: C) 1212

Explanation:

74.99% of 1299 + 8.98% of 1899 = ? 

? = 75 x 1400100 + 9 x 1800100 ? = 1050 + 162? = 1212.

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Filed Under: Percentage
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9 6148
Q:

In following question, a number series is given with one term missing. Choose the correct alternative for these sequence.

24, 60, 120, 210, ?

A) 336 B) 330
C) 300 D) 370
 
Answer & Explanation Answer: A) 336

Explanation:


3 x 3 x 3 = 27 - 3 = 24

4 x 4 x 4 = 64 - 4 = 60

5 x 5 x 5 = 125 - 5 = 120

6 x 6 x 6 = 216 - 6 = 210

7 x 7 x 7 = 343 - 7 = 336

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Filed Under: Number Series
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14 6137
Q:

The Hardest substance available on Earth is

A) Diamond B) Wurtzite
C) Platinum D) Gold
 
Answer & Explanation Answer: A) Diamond

Explanation:

Diamond is the hardest substance available on Earth.

The_Hardest_substance_available_on_Earth_is1558506581.png image 

Diamond is the hardest substance available on Earth due to the giant molecular structure of diamond in which each carbon atom is covalently bonded to four other carbon atoms. A covalent bond is very strong and requires a large amount of energy to break itself, and diamond has many covalent bonds.

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Filed Under: General Awareness
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