Aptitude and Reasoning Questions

Q:

Three taps I, J and K can fill a tank in 20,30and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .At the moment a leak developed which can empty the full tank in 70 minutes. What is the total time taken for the completely full ?

A) 24.315 minutes B) 26.166 minutes
C) 22.154 minutes D) 24 minutes
 
Answer & Explanation Answer: B) 26.166 minutes

Explanation:

Upto first 5 minutes I, J and K will fill => 5[(1/20)+(1/30)+(1/40)] = 65/120


For next 6 minutes, J and K will fill => 6[(1/30)+(1/40)] = 42/120


So tank filled upto first 11 minutes = (65/120) + (42/120) = 107/120
So remaining tank = 13/120


Now at the moment filling with C and leakage @ 1/60 per minute= (1/40) - (1/70) = 3/280.
So time taken to fill remaining 13/120 tank =(13/120) /(3/280) = 91/6 minutes

 

Hence total time taken to completely fill the tank = 5 + 6 + 91/6 = 26.16 minutes.

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13 9486
Q:

Pooja, Shipra and Mounika are three sisters .Pooja and Shipra are twins. The ratio of sum of the ages of Pooja and Shipra is same as that of Mounika alone. Three years earlier the ratio of age of  Pooja and Mounika was 2:7 . what will be the age of Shipra 3 years hence?

A) 21 years B) 16 years
C) 8 years D) 12 years
 
Answer & Explanation Answer: C) 8 years

Explanation:

Since Pooja and Shipra are twins so their ages be same. Let their ages be x and age of Mounika be y , then 

           x+x = y    -------(1) 

 and   x-3y-3=277x-2y=15 

 

Now, from  equation (1), 

         7x - 4x = 15  =>  x = 5

So the age of Shipra 3 years hence will be 5+3 = 8 years

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Filed Under: Ratios and Proportions

12 9483
Q:

The angle between the minute hand and the hour hand of a clock when the time is 4.15 is

A) 0 B) 37.5
C) 27 D) 15
 
Answer & Explanation Answer: B) 37.5

Explanation:

Angle between hands of a clock

 

When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock

 

=> 30H-M5+M2 degrees

 

Here H = 4, M = 15 and the minute hand is behind the hour hand.

 

Hence the angle

 

 = 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees

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Filed Under: Clocks
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

24 9480
Q:

A Rent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

A) 5% B) 7%
C) 7.5% D) 10%
 
Answer & Explanation Answer: D) 10%

Explanation:

 

Let the rate be R% p.a.

 

Then, 5000×r×2100+3000×r×4100=2200

 

Rate = 10% 

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

9 9476
Q:

A person is asked to put in a basket one apple when ordered 'one', one guava when ordered 'two', one orange whe ordered 'three' and is asked to take out from the basket one apple and one guava both when ordered 'four'. The ordered sequence executed by the person is as follows :

1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4


1. How many apples will be there in the basket at the end of the above order sequence ?
      (a) 4     (b) 3     (c) 2    (d) 1


2. How many fruits will be there in the basket at the end of the above order sequence ?
      (a) 13   (b) 17   (c) 9    (d) 11

Answer

1. Answer (c)


Each time we order 1, one apple is added to the basket but each time when 4 is ordered, one apple is removed from it.


Required number of apples = number of 1's - number of 4's = 6 - 4 = 2


2. Answer (d)


Each time we order 1, 2 or 3, one fruit is added to the basket but when ever we order 4, two fruits are removed from it.


Required number = Number of 1's + Number of 2's + Number of 3's - 2 x (Number of 4's)


= 6 + 6 + 7 - (2x4)
= 19 - 8
= 11.

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13 9471
Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) 75 B) 85
C) 95 D) 115
 
Answer & Explanation Answer: A) 75

Explanation:

Except 75 , all other numbers have two factors.

115 = 5 x 23

 95  = 5 x 19

 85  = 5 x 17

 75  = 3 x 5 x 5

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Filed Under: Classification

35 9466
Q:

If the first and third letters in the word NECESSARY were interchanged, also the fourth and the sixth letters, and the seventh and the ninth letters, which of the follwing would be the seventh letter from the left ?

A) E B) S
C) R D) Y
 
Answer & Explanation Answer: D) Y

Explanation:

we interchange the positions of the letters as shown below:

                                  K11483936954.jpg image

The new letter sequence is CENSSEYRA.
Clearly, the seventh letter from the left is Y.

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Filed Under: Alphabet Test
Exam Prep: Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

12 9464
Q:

Identify the figure that completes the pattern.

     (X)                 (1)             (2)              (3)             (4)

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

Explanation:

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Filed Under: Pattern Completion

12 9464