Aptitude and Reasoning Questions

Q:

A train overtakes two girls who are walking in the  opposite direction in which the train  is going at the rate of 3 km/h and 6km/h and passes them completely in 36 seconds and 30 seconds respectively. The length of the train is:

A) 120m B) 150m
C) 125m D) None of these
 
Answer & Explanation Answer: B) 150m

Explanation:

Let the length of the train e x meter, and let the speed of train be y km/h, then

x=y+3×518×36   --------(1)   and   

x=y+6×518×30  ---------(2)

  

From eq (1) and (2), we get      

y = 12 km/h

Therefore,  x=(y+3)×518×36   =>  x= 150 m

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Filed Under: Time and Distance

35 16950
Q:

The true discount on a bill of Rs. 2160 is Rs. 360. What is the banker's discount?

A) Rs. 432 B) Rs. 422
C) Rs. 412 D) Rs. 442
 
Answer & Explanation Answer: A) Rs. 432

Explanation:

F = Rs. 2160

TD = Rs. 360

PW = F - TD = 2160 - 360 = Rs. 1800

True Discount is the Simple Interest on the present value for unexpired time

=>Simple Interest on Rs. 1800 for unexpired time = Rs. 360

Banker's Discount is the Simple Interest on the face value of the bill for unexpired time

= Simple Interest on Rs. 2160 for unexpired time

=(360/1800)* 2160

= (1/5) * 2160

=Rs. 432

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Filed Under: Banker's Discount

3 16947
Q:

In the following question, select the missing number from the given series.

11, 13, 16, 18, 21, ?

A) 29 B) 25
C) 27 D) 23
 
Answer & Explanation Answer: D) 23

Explanation:
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Filed Under: Number Series
Exam Prep: Bank Exams

2 16932
Q:

In a class of 180, where girls are twice the number of boys, Rupesh[a boy]  ranked 34th from the top. If there are 18 girls ahead of Rupesh, how many boys are after him in rank?

A) 45 B) 44
C) 60 D) can't be determined
 
Answer & Explanation Answer: B) 44

Explanation:

No. of boys up to the 34th rank = 34-18 = 16

 

 Total no of boys = 180x1/2+1 = 60

 

 number of boys after the rank of Rupesh = 60 - 16 = 44

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Filed Under: Number, Ranking and Time Sequence Test
Exam Prep: Bank Exams , AIEEE
Job Role: Bank PO

81 16932
Q:

The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?

A) 10 a.m B) 10.30 a.m
C) 11 a.m D) 11.30 a.m
 
Answer & Explanation Answer: C) 11 a.m

Explanation:

Suppose they meet x hrs after 8 a.m

then,

[Distance moved by first in x hrs] + [Distance moved by second in (x-1) hrs] = 330.

Therefore, 60x + 75(x-1) = 330.

 => x=3.

So,they meet at (8+3) i.e, 11a.m.

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Filed Under: Time and Distance

50 16918
Q:

Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?

A) 11/P + 6 B) P/11 +6
C) 17 - P/6 D) 17/P
 
Answer & Explanation Answer: A) 11/P + 6

Explanation:

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

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Filed Under: Problems on Ages
Exam Prep: GRE

84 16917
Q:

Which of the following statement(s) is/are TRUE?

I. 2√3 > 3√2
II. 4√2 > 2√8

A) Only I B) Only II
C) Neither I nor II D) Both I and II
 
Answer & Explanation Answer: C) Neither I nor II

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

1 16911
Q:

Ten years ago, Kumar was thrice as old as Sailesh was but 10 years hence, he will be only twice as old. Find Kumar’s present age ?

A) 50 years B) 70 years
C) 60 years D) 40 years
 
Answer & Explanation Answer: B) 70 years

Explanation:

Let Kumar’s present age be "x" years and Sailesh’s present age be "y" years.
Then, according to the first condition,


x - 10 = 3(y - 10) => x - 3y = - 20 ........(1)

Now, Kumar’s age after 10 years = (x + 10) years.

Sailesh’s age after 10 years = (y + 10) years.

(x + 10) = 2 (y + 10)  => x - 2y = 10 ......(2)

 

Solving (1) and (2),

we get x = 70 and y = 30

Kumar’s present age = 70 years    and  Sailesh’s present age = 30 years.

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Filed Under: Problems on Ages
Exam Prep: CAT
Job Role: Bank PO

12 16908