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Q:

Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?

A) 6.52 B) 8.14
C) 4.18 D) 5.02
 
Answer & Explanation Answer: C) 4.18

Explanation:

Distance to be covered = πD = 40π km 

Relative speed of bikers = 16 + 14 = 30 kmph.

 

Now, time=distancespeed =  40π30 = 4.18 hrs.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank Clerk

21 14262
Q:

Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ?

A) 17 years B) 13 years
C) 14 years D) 16 years
 
Answer & Explanation Answer: B) 13 years

Explanation:

Given R + S + M + D = 76

=> R+7 : S+7 : M+7 : D+7 = 7:6:5:8

=> Let the ratio = x

=> M+7 = 5x

=> M = 5x-7

=> R = 7x-7

=> S = 6x-7

=> D = 8x-7

=> R + S + M + D = 76

=> 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76

=> 26x - 28 = 76

=> 26x = 104

=> x = 4

=> Mahesh's present age = 5x-7 = 20 - 7 = 13 years.

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Filed Under: Problems on Ages
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23 14248
Q:

A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number  ?

A) 175 B) 140
C) 135 D) 95
 
Answer & Explanation Answer: B) 140

Explanation:

x - 35 = 80x/100 

=> x = 175 

=> 4x/5 = 4x175/5 = 140.

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Filed Under: Percentage
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18 14224
Q:

Which operation is not performed by computer?

A) Understanding B) Controlling
C) Processing D) Inputting
 
Answer & Explanation Answer: A) Understanding

Explanation:

A computer can perform inputting, processing and cotrolling but it can't perform understanding as it is has no brain. It can't earn from its previous experiances.

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Filed Under: Computer
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19 14213
Q:

A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ?

A) 64 B) 76
C) 84 D) 98
 
Answer & Explanation Answer: C) 84

Explanation:

Given total sum = Rs. 427
And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.
=> 3A = 4B = 7C
But given
=> A + B + C = 427
Now express A and B in terms of C i.e
=> (7C/3) + (7C/4) + C = 427
=> C = 84

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Filed Under: Partnership
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13 14197
Q:

What approximate value will come in place of question mark (?) in the following question ?

 (49.001)2  = ?

A) 2500 B) 2400
C) 2600 D) 2300
 
Answer & Explanation Answer: B) 2400

Explanation:

Given (49.001)2  = ?

=> =~ 49 x 49

=~ 2401

=~ 2400 

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Filed Under: Mathematical Operations
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32 14155
Q:

Crack the Missing Letter Puzzle?

 

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A) I B) K
C) L D) W
 
Answer & Explanation Answer: C) L

Explanation:

13 x 2 = 26 => Z (opposite side)

12 x 2 = 24 => X (opposite side)

13 x 1 = 13 => M (opposite side)

12 x 1 = 12 => L (opposite side)

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Filed Under: Missing letters puzzles
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33 14139
Q:

A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water   ?

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

Explanation:

Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres.

 

After adding water, juice would form 87.5% of the mixture.

 

Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72 

 

Hence 72 - 70 = 2 litres of water must be added.

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Filed Under: Alligation or Mixture
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24 14116