GATE Questions and Answers with Explanation

Q:

How many 4-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

A) 60	B) 48
C) 36	D) 20

Answer & Explanation Answer: A) 60

Explanation:

Here given the required digit number is 4 digit.

It must be divisible by 5. Hence, the unit's digit in the required 4 digit number must be 0 or 5. But here only 5 is available.

x x x 5

The remaining places can be filled by remaining digits as 5 x 4 x 3 ways.

Hence, number 4-digit numbers can be formed are 5 x 4 x 3 = 20 x 3 = 60.

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Filed Under: Permutations and Combinations
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Q:

What is 6% of 3,50,000?

A) 19500	B) 21000
C) 23600	D) 24000

Answer & Explanation Answer: B) 21000

Explanation:

6% of 350000

$\frac{6}{100} x 3, 50, 000 = 6 x 3500 = 21, 000 .$

Hence, 6% of 3,50,000 = 21,000.

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Filed Under: Percentage
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4 3408

Q:

Read the following information carefully and answer the question below. Seven Students – A, B, C, D, E, F and G like different Pens viz, Reynolds, Cello, Parker, Rotomac, Flair, Linc and Eilcos but not necessarily in the same order. They also study in three different standards viz. 9th, 10th and 12th. Not more than three and not less than two students study in the same class. A do not likes cello pen. Persons who like cello and Flair pens, study in the same class. G studies in 10th standard but he does not likes flair pen. B studies with only one student, who likes linc pens. B does not studies with G. E likes Rotomac but he do not study in class 9. D studies in class 9 but he does not like line pen. A does not study in class 12. F does not like linc pen. The one likes Parker pen, studies in class 10. The one, who likes Reynolds pen, studies in same class with one who likes Flair pen. D likes neither Flair pen nor cello pen.

1. Who likes Parker Pen ?

(1) F (2) G (3) H (4) None

2. Three of the following four are similar in a certain way. Find the odd one ?

(1) BE (2) AD (3) EG (4) DF

3. Which three student study in the same class ?

(1) ADE (2) DFG (3) ADF (4) AEG

4. C likes which pen ?

(1) Reynolds (2) Flair (3) Cello (4) Linc

Answer

download21486193578.png image

1. Answer (2) G

2. Answer (1) BE All other pairs are in same class.

3. Answer (3) ADF in class 9.

4. Answer (4) Linc pen.

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Subject: Deriving Conclusions From Passages Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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5 3407

Q:

Crack the code?

english1526360782.jpg image

Answer

STARTLING is a required 9 letter English word is still a word each time you remove a letter from the word. And how it is shown below:

1. Remove the L, and the word becomes: STARTING

2. Remove one T, and the word becomes: STARING

3. Remove the A, and the word becomes: STRING

4. Remove the R, and the word becomes: STING

5. Remove the other T, and the word becomes: SING

6. Remove the G, and the word becomes: SIN

7. Remove the S, and the word becomes: IN

8. Remove the N, and the word becomes: I

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Subject: Word Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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Q:

One paper is equally folded 35 times, then what is the new thickness of the paper ?

A) T(2^50)	B) 50T
C) 2 x 50 T	D) T/50

Answer & Explanation Answer: A) T(2^50)

Explanation:

Let initial thickness of the paper be 'T'
after first fold it will be '2T' = $2^{1} T$
after second fold it will be '4T' = $2^{2} T$
after 50th fold it will be T x ( $2^{50}$ T)

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Q:

Twenty percent of Karthik’s monthly salary is equal to thirty two percent of Nikitha’s monthly salary. Vipin’s monthly salary is four fifth that of Nikitha’s monthly salary. If Vipin’s annual salary is Rs. 3.84 lakhs, what is Karthik’s monthly salary?

A) 32,000	B) 64,000
C) 40,000	D) 52,000

Answer & Explanation Answer: B) 64,000

Explanation:

From the given data,

20% of K = 32% of N

V = 4/5 N

Given Vipin's salary = 3.84 lpa = 3.84/12 = 32,000 per month

Now, N = 5/4 x 32000 = 40000

Now K = 32/20 x 40000 = 64000

Hence, karthik's monthly salary = Rs. 64000.

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Filed Under: Percentage
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Q:

Race : Fatigue :: Fast : ?

A) Hunger	B) Appetite
C) Weakness	D) Food

Answer & Explanation Answer: A) Hunger

Explanation:

Race : Fatigue :: Fast : Hunger

The first word causes the second.

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Filed Under: Analogy
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Q:

A man pointing to a lady says, “Her brother is the father of my only son's sister.” How is that lady related to the man ?

A) Daughter-in-law	B) Sister
C) Niece	D) Daughter

Answer & Explanation Answer: B) Sister

Explanation:

My only son's sister is my daughter
father of my daughter is me only
her brother means she is my 'sister'.

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Filed Under: Blood Relations
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