5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

$\begin{matrix} C K & 16 & 9 & J R \\ O S & 24 & 19 & T X \\ K M & ? & ? & P V \end{matrix}$

A) 14,21	B) 21,14
C) 56,84	D) 84,56

Answer & Explanation Answer: B) 21,14

Explanation:

Putting A=1, B=2, C=3,..., M=13,....,X=24,Y=25, Z=26, we have :

$J R = \frac{J + R}{2} + 2 = \frac{10 + 18}{2} + 2 = 16$

$C K = \frac{C + K}{2} + 2 = \frac{3 + 11}{2} + 2 = 9$

$T X = \frac{T + X}{2} + 2 = \frac{20 + 24}{2} + 2 = 24$

$O S = \frac{O + S}{2} + 2 = \frac{15 + 19}{2} + 2 = 19$

So, the missing numbers are :

21 and 14

Hence, the answer is (b).

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Filed Under: Inserting The Missing Character
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124 6782

Q:

There are 600 Kabaddi players 4% wear knee band on one leg. Of the remaining, 25% wear knee bands on both legs. How many players don't wear a knee band ?

A) 426	B) 428
C) 415	D) 432

Answer & Explanation Answer: D) 432

Explanation:

There are 600 Kabaddi players
4% wear knee band on one leg
Remaining players = 600 x 0.96 = 576
Of the remaining, 25% wear knee bands on both leg
and Of the remaining, 75% do not wear knee bands .
So players not wearing knee bands = 0.75 x 576 = 576 x 3/4 = 144 x 3 = 432.

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Filed Under: Percentage
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5 6772

Q:

Ten years ago, A was half of B in age. If the ratio of their present ages is 3:4, then what will be the total of their present ages?

Answer

Let A's age 10 years ago be x years

Then B's age 10 years ago be 2x yeats

$\inline \Rightarrow \frac{x+10}{2x+10}=\frac{3}{4}$

$\inline \Rightarrow 4(x+10)=3(2x+10)$

$\inline \Rightarrow x=5$

$\inline \therefore$ Total of their present ages = $x+10+2x+10$

= $3x+20$

= 35 years

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Subject: Problems on Ages

9 6770

Q:

The length of a rectangular plot is increased by 50%, to keep its area unchanged, the width of the plot should be decreased by ______?

A) 29.87%	B) 33.33%
C) 22.22%	D) 19.5%

Answer & Explanation Answer: B) 33.33%

Explanation:

% Decrease in Width = $\frac{50}{150} x 100$

= 33.33%

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Q:

In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

A) 15	B) 10
C) 25	D) 20

Answer & Explanation Answer: C) 25

Explanation:

The toys are different; The boxes are identical
If none of the boxes is to remain empty, then we can pack the toys in one of the following ways
a. 2,2,1
b. 3,1,1

Case a. Number of ways of achieving the first option 2−2–1

Two toys out of the 5 can be selected in $5 C_{2}$ 5 ways. Another 2 out of the remaining 3 can be selected in $3 C_{2}$ ways and the last toy can be selected in $1 C_{1}$ way.

However, as the boxes are identical, the two different ways of selecting which box holds the first two toys and which one holds the second set of two toys will look the same. Hence, we need to divide the result by 2.

Therefore, total number of ways of achieving the 2−2–1 option is:

$\frac{5 C_{2} * 3 C_{2}}{2} = \frac{10 * 3}{2} = 15$ ways.

Case b. Number of ways of achieving the second option 3−1–1

Three toys out of the 5 can be selected in $5 C_{3}$ ways. As the boxes are identical, the remaining two toys can go into the two identical looking boxes in only one way.
Therefore, total number of ways of getting the 3−1–1 option is $5 C_{3}$ =10 ways.

Total ways in which the 5 toys can be packed in 3 identical boxes
=number of ways of achieving Case a + number of ways of achieving Case b
=15 + 10 = 25 ways

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Filed Under: Permutations and Combinations

0 6765

Q:

A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ?

A) 300	B) 150
C) 175	D) 200

Answer & Explanation Answer: B) 150

Explanation:

Half of the cloth = 37.5/2
From 1 meter he will make 8 pieces
=> in 37.5/2 ---- ?

37.5/2 x 8

= 150.

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Q:

The ratio of efficiencies of two filling pipes is 4 : 5. There is a third emptying pipe which efficiency is two third of the average efficiency of first two filling pipes can empty a filled tank in 36 minutes. In how much time both the filling pipes can fill the tank when it is empty?

A) 16 min	B) 12 min
C) 14 min	D) 20 min

Answer & Explanation Answer: B) 12 min

Explanation:

Let the efficiencies of filling pipes is 4p and 5p respectively.

Efficiency of pipe which empty the tank = 2/3 x 9p/2 = 3p

Total work = 3p x 36 = 108p

Time to fill the tank by both the pipes = 108p/9p = 12 min.

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Filed Under: Pipes and Cistern
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Q:

A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?

A) 2%	B) 4%
C) 3%	D) 2.5%

Answer & Explanation Answer: B) 4%

Explanation:

SP of first article = 1000

Profit = 20%

CP = $\frac{100}{100 + P} \times S P$ = 5000/6 = 2500/3

SP of second article = 1000

Loss = 20%

CP = $\frac{100}{100 - L} \times S P$ = 5000/4 = 1250

Total SP = 2000

Total CP = $\frac{2500}{3}$ + 1250 = 6250/3

CP is more than SP, he makes a loss.

Loss = CP-SP = (6250/3)- 2000 = 250/3

Loss Percent = $\frac{\frac{250}{3}}{\frac{6250}{3}} \times 100$ = 4%

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Filed Under: Profit and Loss
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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

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