Aptitude and Reasoning Questions

Q:

In a public bathroom there are n taps 1,2,3...n. Tap1 and Tap2 take equal time to fill the tank while Tap3 takes half the time taken by Tap2 and Tap4 takes half the time taken by Tap3. Similarly each next number of tap takes half the time taken by previous number of Tap i.e, K-th Tap takes half the time taken by (K-1)th Tap. If the 10th tap takes 2 hours to fill the tank alone then what is the ratio of  efficiency of 8th tap and 12th tap, respectively?

A) 4:1 B) 5:3
C) 16:1 D) 1:16
 
Answer & Explanation Answer: D) 1:16

Explanation:

Time taken by 8th tap = 2 x 2 x 2= 8 hours

Time taken by 12th tap = 2x (1/2) x (1/2)  = 1/2 hour

Ratio of time taken by 8th tap and 12th tap = 8 : 1/2 =16:1

Therefore, Ratio of efficiencies of 8th tap and 12th tap =1:16

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Filed Under: Time and Work

8 7197
Q:

If Laxmi is taller than Ramya but shorter than Susmitha and Ramya is as tall as Hema but taller than Avanthi, then Hema is :

A) shorter than Ramya B) taller than Avanthi
C) taller than susmitha D) shorter than Laxmi
 
Answer & Explanation Answer: D) shorter than Laxmi

Explanation:

As given, we have:

Susmitha > Laxmi > Ramya; Ramya = Hema, Ramya > Avanthi

Thus the sequence of heights becomes:

Susmitha > Laxmi > Ramya = Hema > Avanthi

Clearly, Hema is shorter than Laxmi.

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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams , CAT , GATE , GRE
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14 7191
Q:

Rice worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety of rice per kg?

A) Rs. 571.25 B) Rs. 175.5
C) Rs. 751.75 D) Rs. 850
 
Answer & Explanation Answer: B) Rs. 175.5

Explanation:

Let the price of required variety = Rs. P/kg

Then, respective amounts were m kg, m kg and 2m kg

= 126m + 135m + 2pm = 153 x 4m

=> 2p = 351

p = 175.5 / kg

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Filed Under: Ratios and Proportions
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37 7188
Q:

Two stations A and B are 200 km apart on a straight track. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

A) 12 a.m. B) 1 p.m.
C) 11 a.m. D) 12 p.m.
 
Answer & Explanation Answer: D) 12 p.m.

Explanation:

Assume both trains meet after 'p' hours after 7 a.m.
Distance covered by train starting from A in 'p' hours = 20p km
Distance covered by train starting from B in (p-1) hours = 25(p-1)
Total distance = 200
=> 20x + 25(x-1) = 200
=> 45x = 225
=> p= 5
Means, they meet after 5 hours after 7 am, ie, they meet at 12 p.m.

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Filed Under: Time and Distance
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4 7187
Q:

From the given alternatives, select the word which CANNOT be formed using the letters of the given word.

 

Pseudonym

 

A) Son   B)  Does  
C) Pose   D) Pendulum
 
Answer & Explanation Answer: D) Pendulum

Explanation:
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Filed Under: Logical Sequence of Words
Exam Prep: Bank Exams

4 7183
Q:

Hydrogen is lighter than Hydrogen .Hydrogen is lighter than helium.Therefore,Oxygen is the heaviest of the three gases

A) False B) Probably false
C) True D) Can't say
 
Answer & Explanation Answer: D) Can't say

Explanation:
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38 7176
Q:

Jeopardy : Peril :: Jealousy : ?

A) Lust B) Sin
C) Envy D) Insecurity
 
Answer & Explanation Answer: C) Envy

Explanation:

First is a more intense form of the second. Here Jeopardy is the more intense form of Peril and we know that Jealousy is the more intense form of Envy.

 

Hence, Jeopardy : Peril :: Jealousy : Envy.

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Filed Under: Analogy
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5 7176
Q:

A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ?

A) 4 hrs 15 min B) 3 hrs 24 min
C) 4 hrs 51 min D) 3 hrs 45 min
 
Answer & Explanation Answer: D) 3 hrs 45 min

Explanation:

Time taken by one tap to fill half of the tank = 3 hrs.

Part filled by the taps in 1 hour = 4 x 1/6 = 2/3

Remaining part = 1 - 1/2 = 1/2

2/3 : 1/2 :: 1 : p

p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min

So, total time taken = 3 hrs 45 min.

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Filed Under: Pipes and Cistern
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13 7171