5555+ Aptitude and Reasoning Questions, Answers With Explanation

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
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18 11463

Q:

The average weight of 45 passengers in a bus is 52 kg. 5 of them whose average weight is 48 kg leave the bus and other 5 passengers whose average weight is 54 kg join the bus at the same stop. What is the new average weight of the bus?

A) 54.21 kgs	B) 51.07 kgs
C) 52.66 kgs	D) 53.45 kgs

Answer & Explanation Answer: C) 52.66 kgs

Explanation:

Given total number of passengers in the bus = 45

First average weight of 45 passengers = 52 kgs

Average weight of 5 passengers who leave bus = 48

Average weight of 5 passengers who joined the bus = 54

Therefore, the net average weight of the bus is given by

$= \frac{45 x 52 - (5 x 48) + (5 x 54)}{45} = \frac{2370}{45} = \frac{158}{3} = 52.66 kgs .$

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Filed Under: Average
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31 11456

Q:

If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ?

A) 5	B) 4
C) 20	D) 28

Answer & Explanation Answer: C) 20

Explanation:

Given (2a + 3b)/(5a - 3b) = 23/5
=> 10a + 15b = 115a - 69b
=> 105a = 84b => 5a = 4b
a/b = 4/5 => a=4 & b=5
=> bxa = 5x4 = 20.

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Filed Under: Ratios and Proportions
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7 11456

Q:

In a certain code ARCHIVE is written as DSBGFWJ. How is SYSTEMS is written in that code ?

A) TZTSTUN	B) TZTSTNF
C) TZTUTNF	D) TZTNTFS

Answer & Explanation Answer: B) TZTSTNF

Explanation:

ARC -> CRA ->(+1) DSB
H -> H ->(-1) G
IVE -> EVI ->(+1) FWJ

Similarly,

SYS -> SYS ->(+1) TZT
T -> T ->(-1) S
EMS -> SME ->(+1) TNF

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Filed Under: Alphabet Test
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18 11454

Q:

If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area?

A) 41%	B) 38%
C) 33%	D) 44%

Answer & Explanation Answer: B) 38%

Explanation:

% Change in Curved Surface Area is given by

$% Change in radius + % Change in height + \frac{% Change in radius \times % Change in height}{100}$

$\Rightarrow + 20 + 15 + \frac{20 \times 15}{100} = 38 %$

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Filed Under: Volume and Surface Area
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20 11450

Q:

What is the area of this plot ?

I. The perimeter of the plot is 208 metres.

II. The length is more than the breadth by 4 metres.

A) If the data in statement I alone are sufficient to answer the question	B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question;	D) If the data in both the statements together are needed.

Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

The area of the plot can be determined from both I and II as follows .

Let the breadth of the plot be x metres Then, length = (x + 4) metres

Thus, perimeter s 208 metres 2(x + 4 + x) = 208 ,

4x =200, x = 50.

So. length =54 metres. breadth = 50 metres.

Area of the plot = 2700 m^2.

Hence, both I and II are required

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Filed Under: Data Sufficiency

2 11444

Q:

A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ?

A) 15	B) 20
C) 10	D) 8

Answer & Explanation Answer: C) 10

Explanation:

Let the price of each note book be Rs.x.

Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.

Hence xy = 300

=> y = 300/x

(x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy

=>5(300/x) - 10x - 50 = 0 => $- 150 + x^{2} + 5 x$

multiplying both sides by -1/10x

=> $x^{2} + 15 x - 10 x - 150 = 0$

=> x(x + 15) - 10(x + 15) = 0

=> x = 10 or -15

As x>0, x = 10.

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Filed Under: Simplification
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9 11442

Q:

Sullen is to moody as monotonous is to what

A) Repetitious	B) Attractive
C) Drab	D) Varied

Answer & Explanation Answer: A) Repetitious

Explanation:

Here the given words, sullen and moody are synonyms to each other which means that gloomy, resentful. Similarly, repetitious and monotonous are synonyms to each other which means dull, tedious.

Hence, Sullen : moody :: monotonous : repetitious.

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Filed Under: Analogy
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8 11433

Aptitude and Reasoning Questions

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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

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