GATE Questions

Q:

Express 6.72 % in ratio ?

A) 65 : 124 B) 42 : 625
C) 21 : 125 D) 37 : 442
 
Answer & Explanation Answer: B) 42 : 625

Explanation:

6.72/100 = 672/10000 = 42/625

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Filed Under: Percentage
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10 6943
Q:

Which of the following is the strongest base?

A) LiCH3 B) LiF
C) LiOH D) LiNH2
 
Answer & Explanation Answer: A) LiCH3

Explanation:

The stability of the ions is determined by the energy of the lone pairs. Carbon has the least effective nuclear charge (Zeff) and so the lone pair on the CH3− ion has the highest energy, making it the least stable ion and so the strongest base. The Zeff increases as we move across the period until we get to fluorine which has the greatest Zeff and so its lone pairs have the lowest energy, making F− the least basic ion.

 

In order of decreasing basicity they are ranked LiCH3 > LiNH2 > LiOH > LiF. We are dealing with the ions F−, OH−, NH2− and CH3− and so the factor which influences their basicity is the stability of the ion compared to its conjugate acid.

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2 6942
Q:

The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements?

A) 4320 B) 4694
C) 4957 D) 4871
 
Answer & Explanation Answer: A) 4320

Explanation:

Given Word is PROMISE.

Number of letters in the word PROMISE = 7

Number of ways 7 letters can be arranged = 7! ways

Number of Vowels in word PROMISE = 3 (O, I, E)

Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways

 

Now, the number of ways of arrangements so that three vowels should not come together

= 7! - (5! x 3!) ways = 5040 - 720 = 4320.

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7 6940
Q:

Mahesh bought 100 kg of rice for Rs. 1040 and sold it at a loss of as much money as he received for 30 kg rice. At what price did he sell the rice?

A) Rs. 7.46/kg B) Rs. 8/kg
C) Rs. 8.74/kg D) Rs. 8.56/kg
 
Answer & Explanation Answer: B) Rs. 8/kg

Explanation:

Let the selling price of the rice = Rs.P/kg

Now, according to the question,

1040 - 100p = 30p

=> p = 8/kg

 

Hence, the selling price of the rice = Rs. 8/kg

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16 6939
Q:

Math Challenge

find the number maths puzzle

A) 7 B) 44
C) 4 D) 33
 
Answer & Explanation Answer: C) 4

Explanation:

Let the required number be 'N'

given that its quarter i.e; N/4 exceeds its double i.e, 2N by 7

=> N/4 + 7 = 2N

=> N + 28 = 8N

7N = 28

N = 4.

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13 6936
Q:

A person who insists on something - one word substitute

A) Stickler B) Boaster
C) Disciplinarian D) Instantaneous
 
Answer & Explanation Answer: A) Stickler

Explanation:
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6 6931
Q:

Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 56, what will be the sum of the highest number and the lowest number?

A) 120 B) 160
C) 80 D) 60
 
Answer & Explanation Answer: A) 120

Explanation:

Let the three numbers be x, y, z.

From the gien data,

x = 2y ....(1)

x = z/2 => z = 2(2y) = 4y .....(From 1)  ...........(2)

Given average of three numbers = 56

Then,

 

x + y + z3 = 562y + y + 4y3 = 56  (From 1 & 2)7y = 56 x 3y = 24

Now,

x = 2y => x = 2 x 24 = 48

z = 4y = 4 x 24 = 96

 

Now, the highest number is z = 96 & smallest number is y = 24

 

Hence, required sum of highest number and smallest number

= z + y

= 96 + 24

= 120.

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Filed Under: Average
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15 6925
Q:

Rupee : Indian :: Yen : ?

A) Pakistan B) Turkey
C) Japan D) Bangladesh
 
Answer & Explanation Answer: C) Japan

Explanation:

The rupee is the currency of India. Similarly, Yen is the currency of Japan.

 

Hence, Rupee : Indian :: Yen : Japan.

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Filed Under: Analogy
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5 6907