Aptitude and Reasoning Questions

Q:

If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon?

A) 14 kmph B) 13 kmph
C) 12 kmph D) 11 kmph
 
Answer & Explanation Answer: C) 12 kmph

Explanation:

The distance is constant in this case.

Let the time taken for travel with a speed of 10 kmph be 't'.

Now the speed of 15 kmph is 3/2 times the speed of 10 kmph.

Therefore, time taken with the speed of 15 kmph will be 2t/3 (speed is inversely proportional to time)

Extra time taken = t - 2t/3 = t/3

=> 1pm - 11am = 2hrs

=> t/3 = 2h

=> t = 6 hrs.

Now, Distance = speed x time = 10 x 6 = 60 kms

Time he takes to reach at noon = 6 - 1 = 5 hrs

Now, Speed = 60/5 = 12 kmph.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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12 5929
Q:

Ratio between heights of two cylinder in the ratio 3:5. Their volumes are in the ratio 27:80. Find ratio between their radius ?

A) 1:3 B) 2:1
C) 3:4 D) 4:7
 
Answer & Explanation Answer: C) 3:4

Explanation:

bank

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

14 5928
Q:

The present of Rs.169 due in 2years at 4% per annum compound interest is

A) Rs.150.50 B) Rs.154.75
C) Rs.156.25 D) Rs.158
 
Answer & Explanation Answer: C) Rs.156.25

Explanation:

Present worth = 169/(1+4/100)^n = 156.25

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Analyst

4 5925
Q:

Pointing to a woman, a girl says, "Her daughter-­in-­law is married to the only son of my husband's mother-­in-­law." How is the girl related to the woman?

A) Niece B) Granddaughter
C) Daughter D) Cousin
 
Answer & Explanation Answer: C) Daughter

Explanation:
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Filed Under: Blood Relations
Exam Prep: Bank Exams

5 5924
Q:

The Simple interest accrued on an amount of Rs. 2,500 at the end of six years is Rs.1875. What would be the simple interest accrued on an amount of Rs. 6875 at the same rate and Same period? 

A) Rs. 4,556.5 B) Rs. 5,025.25
C) Rs.5,245.5 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:
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22 5920
Q:

Two dice are rolled simultaneously. Find the probability of getting a total of 9.

A) 1/3 B) 1/9
C) 8/9 D) 9/10
 
Answer & Explanation Answer: B) 1/9

Explanation:

S = { (1, 1), (1, 2), (1, 3), (1, 4),(1, 5), (1, 6), (2, 1), (2, 2),.........(6, 5), (6, 6) }

=> n(S) = 6 x 6 = 36

E = {(6, 3), (5, 4), (4, 5), (3, 6) }

=> n(E) = 4

Therefore, P(E) = 4/36 = 1/9

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Filed Under: Probability

8 5920
Q:

A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true ?

A) He lost Rs. 200 B) He gained Rs. 200
C) Neither he gained nor lost D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

In first he got Rs. 990

But in second he lost Rs. 1980

So he lost Rs. 990.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 5917
Q:

 What is the rate of compound interest?
I. The principal was invested for 4 years.
II. The earned interest was Rs. 1491.

A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer D) Either I or II alone sufficient to answer
 
Answer & Explanation Answer: D) Either I or II alone sufficient to answer

Explanation:

 

 

Let Principal = Rs. P and Rate = R% p.a. Then,

 

Amount= Rs.P1+R1004

 

 C.I = P1+R1004-1

 P1+R1004-1=1491

 

Clearly, it does not give the answer

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

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