GATE Questions and Answers with Explanation

Q:

In a business, A invested 1200 rs. more than B. B invested his amount for 15 months while A invested for 4 months more than that of B. If total profit was 1240 rs. in which the profit of B is 280 Rs. less than that if A. then what was the invested amount of A?

A) 6000	B) 7000
C) 5000	D) 8000

Answer & Explanation Answer: A) 6000

Explanation:

Ans.
Let B’s investment = x rs.
∴ A’s investment =( x + 1200) rs.
Ratio of the profits of A and B = (x+1200)*(15+4):x*15 = {19(x+1200)}:15x
Now,let the total profit of A =y
∴ total profit of B = (y-280)
But total profit = 1240
⇒y+(y-280)=1240
⇒2y=1520
⇒y= 760
∴profit of A = 760rs.
Profit of B = 760-280=480 rs.
Ratio of profits= 760:480 = 19:12
According to the question,

19(x+1200)/15x = 19/12

12x+14400 = 15x

⇒3x = 14400
⇒x = 4800 rs.
⇒investment of A = 4800+1200
= 6000 rs.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , GATE

2 2610

Q:

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is -

A) 3:2	B) 2:3
C) 5:7	D) 7:5

Answer & Explanation Answer: B) 2:3

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And, height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , GATE

1 1171

Q:

Select the option figure that will complete the series of question figures.

A) C	B) B
C) A	D) D

Answer & Explanation Answer: A) C

Explanation:

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Filed Under: Image Analysis
Exam Prep: AIEEE , Bank Exams , CAT , GATE

0 1545

Q:

In these questions, the relationship between two elements is shown in the statements. These statements are followed by two conclusions.
Statement:
K > R = L, P > L, R ≥ S
Conclusion:
I. S < L
II. L = S

A) If only conclusion I follow.	B) If only conclusion II follow.
C) If either conclusion I or conclusion II follows.	D) If neither conclusion I nor II follows.

Answer & Explanation Answer: C) If either conclusion I or conclusion II follows.

Explanation:

K > R = L, P > L, R ≥ S
L = R ≥ S
Conclusions:
I. S < L
II. L = S
This forms a complementary pair - S is either smaller or equal to L. Hence, the correct option is Either conclusion I or conclusion II follows.

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Filed Under: Statement and Conclusions
Exam Prep: AIEEE , Bank Exams , GATE

0 935

Q:

In these questions, the relationship between two elements is shown in the statements. These statements are followed by two conclusions.
Statement:
Z < L < W = N = K < A
Conclusion:
I. A > L
II. Z = A

A) If only conclusion I follow.	B) If only conclusion II follow.
C) If either conclusion I or conclusion II follows.	D) If neither conclusion I nor II follows.

Answer & Explanation Answer: A) If only conclusion I follow.

Explanation:

Z < L < W = N = K < A
For conclusion I -
L < W = N = K < A -
L < K < A
I. A > L (true) - It is clear that A is greater than L.
For conclusion II -
II. Z = A (false) Z = A is not confirm, so this is false.
Hence,only conclusion I follow.

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Filed Under: Verbal Reasoning - Mental Ability
Exam Prep: AIEEE , Bank Exams , GATE

0 744

Q:

In these questions, the relationship between two elements is shown in the statements. These statements are followed by two conclusions.
Statement:
Y > A < N, Y = B <P
Conclusion:
I. P > A
II. N > B

A) If only conclusion I follow.	B) If only conclusion II follow.
C) If either conclusion I or conclusion II follows.	D) If neither conclusion I nor II follows.

Answer & Explanation Answer: A) If only conclusion I follow.

Explanation:

Y > A < N, Y = B <P
P > B = Y > A < N
For conclusion I -
P > B = Y > A
P > Y > A
I. P > A (True) P is greater than A is true.
For conclusion II -
B = Y > A < N
II. N > B (false) There is no relation between N and B.
Hence, only conclusion I follow.

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Filed Under: Coding and Decoding
Exam Prep: AIEEE , Bank Exams , GATE

1 1188

Q:

In these questions, the relationship between two elements is shown in the statements. These statements are followed by two conclusions.
Statement: X = M < A < S = T < R

Conclusion:
I. M = T
II. R > A

A) If only conclusion I follow.	B) If only conclusion II follow.
C) If either conclusion I or conclusion II follows.	D) If neither conclusion I nor II follows.

Answer & Explanation Answer: B) If only conclusion II follow.

Explanation:

X = M < A < S = T < R
Conclusions:
For conclusion I - M < A < S = T - There is no relation between M and T.
I. M = T (false)
For conclusion II -
A < S = T < R
II. R > A (True) - R is greater than A.
Hence, only conclusion II follow.

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Filed Under: Coding and Decoding
Exam Prep: AIEEE , Bank Exams , GATE

0 1099

Q:

Find the missing number in the following series.
27, 29, 33, ?, 57

A) 30	B) 41
C) 40	D) 35

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