Aptitude and Reasoning Questions

Q:

The cost price of 40 Magazines is the same as the selling price of 'P' articles. If the profit is 25%, then the value of 'P' is:

A) 32 B) 40
C) 16 D) 30
 
Answer & Explanation Answer: A) 32

Explanation:

Let C.P. of each Magazine be Rs. 1

C.P. of P articles = Rs. P. 

S.P. of P articles = Rs. 40.

 

Profit = Rs. (40 - P)

 

Now, Gain% = ProfitC.P×100 = 40-PP×100 

 

Here 40-PP×100= 25

-->P = 32.

 

 

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Filed Under: Profit and Loss
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Q:

A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ?

A) 250 mts B) 400 mts
C) 320 mts D) 390 mts
 
Answer & Explanation Answer: B) 400 mts

Explanation:

Let the length of the 1st train = L mts

Speed of 1st train = 48 kmph

Now the length of the 2nd train = L/2 mts

Speed of 2nd train = 42 kmph

Let the length of the bridge = D mts

Distance = L + L/2 = 3L/2

Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite)

Time = 12 sec

=> 3L/2x25 = 12

=> L = 200 mts

Now it covers the bridge in 45 sec

=> distance = D + 200

Time = 45 sec

Speed = 48 x5/18 = 40/3 m/s

=> D + 200/(40/3) = 45

=> D = 600 - 200 = 400 mts

Hence, the length of the bridge = 400 mts.

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Filed Under: Problems on Trains
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15 5429
Q:

The age of X is 2/3 rd that of Y. After 6 years X will be 46 years old. the present age of Y is?

A) 40 B) 56
C) 60 D) 100
 
Answer & Explanation Answer: C) 60

Explanation:

X= 2/3Y 

=> Y= 3/2X

 

Aage of X after 6 years = 46 years

 

So present age of X = 46-6 = 40 years

 

Now, present age of Y = 3/2 * 40 = 60 years.

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Filed Under: Problems on Ages
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10 5425
Q:

Three different containers contain 1365 litres, 1560 litres and 1755 litres of mixtures of milk and water respectively. What biggest measure that can measure all the different quantities exactly ?

A) 37 lit B) 97 lit
C) 129 lit D) 195 lit
 
Answer & Explanation Answer: D) 195 lit

Explanation:

From the given data,

containers contain mixtures of milk and water as 1365 lit, 1560 lit and 1755 lit.

 

Biggest measure that can measure all these different quantities exactly can be given by

HCF of (1365, 1560, 1755) 

That can be found as 

 

HCF of 1365, 1755 = 195

Now, HCF of 195 and 1560 = 195

 

Hence, biggest measure that can measure all the given different quantities exactly is 195 lit.

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Filed Under: HCF and LCM
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11 5425
Q:

In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ?

A) 60 B) 52
C) 45 D) 35
 
Answer & Explanation Answer: D) 35

Explanation:

Let the total applicants be 100

 

Then, 20% got 85 marks

i.e 20 x 85 = 1700

 

and 25% got 95 marks

 i.e 25 x 95 = 2375

 

Now, the remaining applicants are 55 and let the average marks scored by them be x.

 

Therefore, 2375 + 1700 + 55x  =  60×100 

6000 - 4075 = 55x

55x=1925

x=35.

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Filed Under: Percentage
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8 5424
Q:

B3D means B is the father of D.
B7D means B is the sister of D.
B2D means B is the brother of D.
B1D means B is the wife of D.

Which of the following means F is the mother of K?

A) F3M1K B) F9M4N3K
C) K3M4N5F D) F1M3K
 
Answer & Explanation Answer: D) F1M3K

Explanation:

From the given information,

F1M → F is the wife of M
M3K → M is the father of K
Therefore, F is the mother of K.

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Filed Under: Blood Relations
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3 5422
Q:

Present ages of Deepa and Hyma are in the ratio of 5:6 respectively. After four years, this ratio becomes 6: 7. What is the difference between their present ages?

A) 6 yrs B) 4 yrs
C) 8 yrs D) 2 yrs
 
Answer & Explanation Answer: B) 4 yrs

Explanation:

Let the present age of Deepa = 5p

Let the present age of Hyma = 6p

After four years their ratio = 6 : 7

=> 5p + 46p + 4 = 67

=> 35p + 28 = 36p + 24

=> p = 4

Therefore, the difference between their ages = 24 - 20 = 4 years.

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Filed Under: Problems on Ages
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12 5417
Q:

Hemavathi cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is fifteen grams in weight. If she has nine pieces of the cake in all with her, how heavy was the original cake ?

A) 240 gms B) 280 gms
C) 180 gms D) 170 gms
 
Answer & Explanation Answer: A) 240 gms

Explanation:

The nine pieces consist of 8 smaller equal pieces and one half cake piece.
Weight of each small piece = 15 g.
So, total weight of the cake = [2 x (15 x 8)]g = 240 g.

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Filed Under: Arithmetical Reasoning
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