5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

A) 4!/2!	B) 3!/2!
C) (4! x 3!) / 2!	D) 36

Answer & Explanation Answer: C) (4! x 3!) / 2!

Explanation:

ABACUS is a 6 letter word with 3 of the letters being vowels.

If the 3 vowels have to appear together, then there will 3 other consonants and a set of 3 vowels together.

These 4 elements can be rearranged in 4! Ways.

The 3 vowels can rearrange amongst themselves in 3!/2! ways as "a" appears twice.

Hence, the total number of rearrangements in which the vowels appear together are (4! x 3!)/2!

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Filed Under: Permutations and Combinations

3 11603

Q:

Rs 1000 is being charged at 50% per annum. what is the interest for 3rd year at compound interest?

A) 1122	B) 1025
C) 1125	D) 625

Answer & Explanation Answer: C) 1125

Explanation:

Total amount for two years = $1000 \times {(1.5)}^{2} = 2250$

Now , interest for third year = $\frac{2250 \times 50 \times 1}{100} = 1125$

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Filed Under: Compound Interest

16 11601

Q:

There are seven persons P, Q, R, S, T, U and V up on a ladder(not in this order).P is further up than T but is lower than R. Q is in the middle. V is between P and Q. T is between Q and U. If U is between T and S, the person on the bottom step of the ladder will be ?

A) S	B) R
C) U	D) T

Answer & Explanation Answer: A) S

Explanation:

k221482990533.jpg image

Here as given Q is in the middle and it satisfies all other conditions given in the question.

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Filed Under: Logical Sequence of Words
Exam Prep: GATE
Job Role: Network Engineer

19 11600

Q:

The following question consist of two words each that have a certain relationship to each other, followed by lettered pairs of words . Select the lettered pair that has the same relationship as the original pair of words.

Proscenium : Stage

A) Lamp : Table	B) Lines : Bed
C) Portico : House	D) Compass : Needle

Answer & Explanation Answer: C) Portico : House

Explanation:

First is a part of the second.

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Filed Under: Analogy

44 11600

Q:

At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ?

A) 5%	B) 6%
C) 4%	D) 3%

Answer & Explanation Answer: A) 5%

Explanation:

Given compound interest for 3 years = Rs. 1513.2

and simple interest for 5 years = Rs. 2400

Now, we know that C.I = $[P {(1 + \frac{R}{100})}^{n} - 1]$

=> 1513.2 = $[P {(1 + \frac{R}{100})}^{3} - 1]$ ...........(A)

And S.I = PTR/100

=> 2400 = P5R/100 ..................(B)

By solving (A) & (B), we get

R = 5%.

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

18 11597

Q:

Select from the five alternative diagrams, the one that best illustrates the relationship among the three classes : Truck, Ship, Goods

A) 1	B) 3
C) 4	D) 5

Answer & Explanation Answer: B) 3

Explanation:

Truck and Ship are entirely different. But some Goods are carried by some Trucks and some Goods are carried by some Ships.

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Filed Under: Logical Venn Diagram

139 11595

Q:

The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ?

A) 2413 sq.m	B) 1234 sq.m
C) 4312 sq.m	D) 2143 sq.m

Answer & Explanation Answer: C) 4312 sq.m

Explanation:

Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.

$2 πs$ = 264 and $2 πl$ = 352

s = $\frac{264}{2 π}$ and l = $\frac{352}{2 π}$

Difference between the areas = $π l^{2} - π s^{2}$

= $π (\frac{176^{2}}{π^{2}} - \frac{132^{2}}{π^{2}})$

= $\frac{1762}{π} - \frac{1322}{π}$

= (176 - 132)(176 + 132) / $π$

= (44 x 308) / (22/7) = 4312 sq.m

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Filed Under: Volume and Surface Area
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

18 11589

Q:

If p:q are the odds in favour of an event,then the probability of that event is:

A) p/q	B) p/(p+q)
C) q/(p+q)	D) none

Answer & Explanation Answer: B) p/(p+q)

Explanation:

Total number of cases=p+q

Favourable cases=p

Probability of that event is=p/(p+q)

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Filed Under: Probability

7 11588

Aptitude and Reasoning Questions

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