Exams


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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Q:

Karthik walks at 5 km/hr and reaches his destination 8 min late. If he walks at 6 km/hr, he reaches his destination on time. What distance he will cover in given time ?

A) 10 kms B) 8 kms
C) 6 kms D) 4 kms
 
Answer & Explanation Answer: D) 4 kms

Explanation:

Let the actual distance be t kms

Now, According to the data,

 

5t + 860 = 6t=> 560t + 860 = 6t=> 60t + 8 = 72t=> 8 = 12t=> t = 8/12 = 2/3 hrs

 

Now, the total distance = 6t = 6 x 2/3 = 2 x 2 = 4 kms.

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Filed Under: Time and Distance
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17 5946
Q:

Pavan and Sravan are two persons. If Pavan works with his actual efficiency and Sravan twice of his actual efficiency then it takes 25 days to complete the work. But If Pavan works twice of his actual efficiency and Sravan with his normal efficiency then the work is completed in 20 days. How many days would it take if Sravan alone works with his actual efficiency (in Days)?

A) 50 B) 100
C) 70 D) 35
 
Answer & Explanation Answer: B) 100

Explanation:

Let the Efficiency of pavan be E(P)

Let the Efficiency of sravan be E(S)

Here Work W = LCM(25,20) = 100

Now, E(P+2S) = 100/25 = 4 ....(1)

E(2P+S) = 100/20 = 5 ....(2)

Hence, from (1) & (2) we get

E(S) = 1

=> Number of days Savan alone work to complete the work  = 100/1 = 100 days.

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Filed Under: Time and Work
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10 5942
Q:

In the following questions are to be based on the details given below.

 

A salesman visits 274 houses in a town to find out the views about three products X, Y and Z. He found that 157 use X, 98 use only X, 22 use all the three, 14 use X and Z but not Y, 39 use Y and Z, 48 use only Y.

 

What fraction used at least two products?

 

A) 67/274 B) 76/274
C) 73/274 D) 37/274
 
Answer & Explanation Answer: B) 76/274

Explanation:
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Q:

State in which the few govern the many?

A) Autocracy B) Monarchy
C) Plutocracy D) Oligarchy
 
Answer & Explanation Answer: D) Oligarchy

Explanation:

Oligarchy is a form of government in which the power rests with the small group of people.

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Filed Under: English
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9 5934
Q:

Sponge is to Porous as Rubber is to

A) Inflexible B) Elastic
C) Solid D) Massive
 
Answer & Explanation Answer: B) Elastic

Explanation:

A sponge is a porous material. Rubber is an elastic material. 

Since Rubber is not a Massive or solid and not an inflexible thing, it is elastic. 

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Filed Under: Analogy
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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

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Q:

 A and B entered in a business by making investment of Rs. 4000 & Rs. 5500 respectively. After six months A & B withdrew Rs. 1000 and Rs. 1500 respectively and C joined them with capital of Rs. 4x. If after one year and three months C received Rs. 2250 as profit share out of total profit of Rs. 12250, then find investment of C? 

A)  Rs. 3600  B)  Rs. 3200 
C)  Rs. 4400  D)  Rs. 3000 
 
Answer & Explanation Answer: D)  Rs. 3000 

Explanation:

 Investment ratio of A, B & C = (4000 ×6+3000×9):(5500 ×6+4000×9):4

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT

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