5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

Wood : Ghacoad :: Coal : ?

A) Fire	B) Smoke
C) Coke	D) Ash

Answer & Explanation Answer: C) Coke

Explanation:

Second is obtained from the first.

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Filed Under: Analogy
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17 7100

Q:

In a certain code language, '-' represents 'x', '÷' represents '+', '+' represents '÷' and 'x' represents '-'. Find out the answer to the following question.19 ÷ 2 - 35 + 10 x 6 = ?

A) 20	B) 14
C) 32	D) 16

Answer & Explanation Answer: A) 20

Explanation:

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Filed Under: Mathematical Operations

17 7095

Q:

Kalyan purchased a Maruti van for Rs. 1,96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years ?

A) Rs. 1,24,000	B) Rs. 1,44,000
C) Rs. 1,32,000	D) Rs. 1,62,000

Answer & Explanation Answer: B) Rs. 1,44,000

Explanation:

Value of Maruti Van, V1 = Rs. 1,96,000
Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 years
Let V2 is the value after depreciation.

$V 2 = V 1 {(1 - (\frac{r}{100}))}^{t}$
V2 = $19600 {[1 - (\frac{\frac{100}{7}}{100})]}^{2}$

V2 = 196000(6/7)(6/7)

V2 = (196000x36)/49 = Rs. 1,44,000.

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Filed Under: Percentage
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

4 7088

Q:

Two trains are running with speeds 30 kmph and 58 kmph respectively in the same direction. A man in the slower train passes the faster train in 18 seconds. Find the length of the faster train?

A) 105 mts	B) 115 mts
C) 120 mts	D) 140 mts

Answer & Explanation Answer: D) 140 mts

Explanation:

Speeds of two trains = 30 kmph and 58 kmph

=> Relative speed = 58 - 30 = 28 kmph = 28 x 5/18 m/s = 70/9 m/s

Given a man takes time to cross length of faster train = 18 sec

Now, required Length of faster train = speed x time = 70/9 x 18 = 140 mts.

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Filed Under: Time and Distance
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3 7082

Q:

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

A) 2.91 m	B) 3 m
C) 5.82 m	D) None of these

Answer & Explanation Answer: B) 3 m

Explanation:

Area of the park = (60 x 40) = 2400 sq.m

Area of the lawn = 2109 sq.m

Area of the crossroads = (2400 - 2109) = 291 sq.m

Let the width of the road be x metres. Then,

60x + 40x - (x * x) = 291

=>(x * x) - 100x + 291 = 0

=>(x - 97)(x - 3) = 0

=>x=3

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Filed Under: Volume and Surface Area

1 7076

Q:

A number is selected at random from the numbers 1 to 30. What is the probability that it is divisible by either 3 or 7 ?

A) 1/30	B) 2/30
C) 1/25	D) 1/2

Answer & Explanation Answer: A) 1/30

Explanation:

Let A be event of selecting a number divisible by 3. B be the event of selecting a number divisible by 7.

A = { 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 }, so n(A)=10
B = { 7, 14, 21, 28 }, n(B)= 4

Since A and B are not mutually exclusive So :