5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

The base of a triangle of 15cm and height is 12cm. The height of another triangle of double the area having the base 20cm is

A) 16	B) 17
C) 18	D) 20

Answer & Explanation Answer: C) 18

Explanation:

a = $\frac{1}{2} \times 15 \times 12$ = 90 sq.cm

b = 2a = $\frac{1}{2} \times 20 \times h$

h= 18cm

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

4 11915

Q:

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

A) 7:4	B) 11:4
C) 4:7	D) 8:3

Answer & Explanation Answer: D) 8:3

Explanation:

Let the speed of the boat upstream be p kmph and that of downstream be q kmph

Time for upstream = 8 hrs 48 min = $8 \frac{4}{5}$ hrs

Time for downstream = 4 hrs

Distance in both the cases is same.

=> p x $8 \frac{4}{5}$ = q x 4

=> 44p/5 = 4q

=> q = 11p/5

Now, the required ratio of Speed of boat : Speed of water current

= $\frac{q + p}{2} : \frac{q - p}{2}$

=> (11p/5 + p)/2 : (11p/5 - p)/2

=> 8 : 3

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Filed Under: Boats and Streams
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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25 11912

Q:

Light : Blind

A) Tongue : Sound	B) Voice : Vibration
C) Language : Deaf	D) Speech : Dumb

Answer & Explanation Answer: D) Speech : Dumb

Explanation:

Here the two pair of words related in such a way that, a blind can't see the light. Similarly, a dumb cannot speech.

Hence, Light : Blind :: Speech : Dumb.

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

10 11907

Q:

One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ?

A) Rs.1,92,000	B) Rs.2,24,000
C) Rs.1,26,000	D) Rs.3,42,000

Answer & Explanation Answer: B) Rs.2,24,000

Explanation:

One-quarter of one-seventh = 1/4 x 1/7
= 1/28
Now, 1/28 of a land costs = Rs. 30,000
Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15
= Rs. 2,24,000.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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15 11904

Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative

Assertion(A) : An iron ball floats on mercury but gets immersed in water.

Reason (R) : The specific gravity of iron is more than that of mercury.

A) Both A and R are true and R is the correct explanation of A.	B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false.	D) A is false but R is true.

Answer & Explanation Answer: C) A is true but R is false.

Explanation:

Iron with specific gravity less than that of mercury but more than that of water, floats in the former but gets immersed in the second

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Filed Under: Assertion and Reason

6 11886

Q:

Karthik read $\frac{6}{13}$ th of a book in 1st week and $\frac{5}{9}$ th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

A) 404	B) 415
C) 418	D) 420

Answer & Explanation Answer: C) 418

Explanation:

Let the total book be 1

Then, in the 1st week $\frac{6}{13}$ th of book is read

i.e remaining pages = $1 - \frac{6}{13} = \frac{7}{13}$

in 2nd week he read $\frac{5}{9}$ th of it

i.e $\frac{5}{9} \times \frac{7}{13} = \frac{35}{117}$
Remaining pages after 2nd week = $\frac{7}{13} - \frac{35}{117} = \frac{28}{117}$

But given remaining pages after 2nd week = 100

$\frac{28 x}{117} = 100$

--> x = 418

The total pages in the book are 418

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Filed Under: Decimal Fractions
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

17 11885

Q:

What is the number of digits in $3^{3^{3}}$ ? Given that log3 = 0.47712?

A) 12	B) 13
C) 14	D) 15

Answer & Explanation Answer: B) 13

Explanation:

Let $L e t x = (3^{3^{3}})$ = ${(3^{3})}^{3}$

Then, $\log (x) = 3^{3} \log (3)$

= 27 x 0.47712 = 12.88224

Since the characteristic in the resultant value of log x is 12

$∴$ The number of digits in x is (12 + 1) = 13

Hence the required number of digits in $3^{3^{3}}$ is 13.

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
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51 11880

Q:

The LCM of 15, 18 and 24 is

A) 360	B) 6
C) 3	D) 540

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