GATE Questions

Q:

A girl want to read a complete book. She read 2/5 part of a book on 1st day, 34% on second day and remaining pages in next two days. On those two days she read equal number of pages. If she read 52 pages on last day, then find out total number of pages that the book contain ?

A) 400 B) 525
C) 325 D) 475
 
Answer & Explanation Answer: A) 400

Explanation:

Let the total number of pages in the book be 'x'.

From given data,

2x/5 + 34x/100 + 52 + 52 = x

 => 40x + 34x + 10400 = 100x

 => 26x = 10400

 => x = 400.

 Hence, total pages in the book are 400.

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Filed Under: Percentage
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Q:

Ajay and his wife Reshmi appear in an interview for two vaccancies in the same post. The Probability of Ajay's selection is 1/7 and that of his wife Reshmi's selection is 1/5. What is the probability that only one of them will be selected?

A) 5/7 B) 1/5
C) 2/7 D) 2/35
 
Answer & Explanation Answer: C) 2/7

Explanation:

P( only one of them will be selected) = p[(E and not F) or (F and not E)] 

 = PEFFE 

 

PEPF+PFPE

 

 =17×45+15×67=27

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Q:

In a class 60% of the students pass in English and 45% pass in Hindi. If 25% of them pass in both subjects, what percentage of the students fail in both the subjects?

A) 20% B) 25%
C) 30% D) 15%
 
Answer & Explanation Answer: A) 20%

Explanation:

Percentage of students passed in English = 60%

Percentage of students passed in Hindi = 45%

Percentage of students passed in both subjects = 25%

ATQ,

Percentage of students passed in only English = 60 - 25 = 35%

Percentage of students passed in only Hindi = 45 - 25 = 20%

Therefore, Percentage of students failed = 100 - (35 + 25 + 20)

= 100 - 80 = 20%.

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6 5957
Q:

Give a possible molecular formula for C3H5ClO?

A) C6H10Cl2O2 B) C6H10O2
C) C6H10ClO2 D) C6H12Cl2O2
 
Answer & Explanation Answer: A) C6H10Cl2O2

Explanation:
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0 5949
Q:

The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes  ?

A) 200, 400 B) 100, 300
C) 100, 200 D) 150, 200
 
Answer & Explanation Answer: D) 150, 200

Explanation:

The incomes of A and B be 3P and 4P.

Expenditures = Income - Savings

(3P - 100) and (4P - 100)

The ratio of their expenditure = 1:2

(3P - 100):(4P - 100) = 1:2

2P = 100 => P = 50

Their incomes = 150, 200

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Filed Under: Ratios and Proportions
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6 5948
Q:

What did the Bhore committee deal with ?

A) Economic development in India B) Health development in India
C) Development of airports in India D) Rural development in India
 
Answer & Explanation Answer: B) Health development in India

Explanation:
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31 5946
Q:

Pointing towards a photograph kiran said to chotu, "I am the only daughter of this lady and her son is your maternal uncle " How is the kiran related to chotu's father  ?

A) Cousin B) Daughter
C) Sister D) Wife
 
Answer & Explanation Answer: D) Wife

Explanation:

cpVU4AOGE7K85NoCI0.34923100_1496466517.png image 

So, the speaker is the mother of chotu. Kiran is wife of chotu's father. Chotu's father is not shown in the diagram.

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Filed Under: Blood Relations
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Q:

In a certain encryption pattern, HARD is coded as 1357 and SOFT is coded as 2468, What will 21448 stand for ?

A) SHAFT B) SHOOT
C) RAFTS D) ROOTS
 
Answer & Explanation Answer: B) SHOOT

Explanation:

AS HARD is coded as "1357" and SOFT is coded as "2468"
So H is coded as 1, A as 3, R as 5, D as 7
and S as 2, O as 4, F as 6, T as 8

Now in 21448, go number by number
2 is the code for S
1 is the code for H
4 is the code for O
and
8 is the code for T

hence, 21448 will stand for SHOOT

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