Aptitude and Reasoning Questions

Q:

A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ?

A) 107 kmph B) 106 kmph
C) 72 kmph D) 76 kmph
 
Answer & Explanation Answer: B) 106 kmph

Explanation:

As we know that Speed = Distance / Time
for average speed = Total Distance / Total Time Taken
Thus, Total Distance = 325 + 470 = 795 km
Thus, Total Speed = 7.5 hrs
Average Speed = 795/7.5 => 106 kmph.

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Filed Under: Time and Distance
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Q:

If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ?

A) 100 mts B) 96 mts
C) 98 mts D) 120 mts
 
Answer & Explanation Answer: C) 98 mts

Explanation:

Let the distance between home and school is 'x'.
Let actual time to reach be 't'.
Thus, x/4 = t + 4 ---- (1)
and x/6 = t - 30 -----(2)
Solving equation (1) and (2)
=> x = 98 mts.

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Filed Under: Time and Distance
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Q:

If A = log321875 and B = log2432187, then which one of the following is correct?

A) A B) A=B
C) A>B D) can't be determined
 
Answer & Explanation Answer: B) A=B

Explanation:

 Given A = log321875 and B = log2432187

B = log352187 = log321875

=> A

Therefore, A = B

   

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Filed Under: Logarithms
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Q:

What is value of P+QP-Q  if PQ=7 ?

A) 1/3 B) 2/3
C) 4/3 D) 5/3
 
Answer & Explanation Answer: C) 4/3

Explanation:

hence P=7Q

P+QP-Q=7Q+Q7Q-Q=8Q6Q=43

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Filed Under: Simplification

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Q:

A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ?

A) 250 mts B) 400 mts
C) 320 mts D) 390 mts
 
Answer & Explanation Answer: B) 400 mts

Explanation:

Let the length of the 1st train = L mts

Speed of 1st train = 48 kmph

Now the length of the 2nd train = L/2 mts

Speed of 2nd train = 42 kmph

Let the length of the bridge = D mts

Distance = L + L/2 = 3L/2

Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite)

Time = 12 sec

=> 3L/2x25 = 12

=> L = 200 mts

Now it covers the bridge in 45 sec

=> distance = D + 200

Time = 45 sec

Speed = 48 x5/18 = 40/3 m/s

=> D + 200/(40/3) = 45

=> D = 600 - 200 = 400 mts

Hence, the length of the bridge = 400 mts.

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Filed Under: Problems on Trains
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Q:

LCD of 12 and 18

A) 36 B) 42
C) 12 D) 6
 
Answer & Explanation Answer: A) 36

Explanation:

  LCD is nothing but Lowest or Least Common Denominator

 

Here LCD of 12 and 18 means LCD of two fractions with denominators 12 and 18 respectively.

 

Therefore, LCM of 12 & 18 = 6 x 3 x 2 = 36 

 

      •  How to calculate LCD ::


The lowest common denominator or least common denominator (LCD) is the least common multiple (LCM) of the denominators of a set of fractions.

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Filed Under: HCF and LCM
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Q:

Flower : Bud :: Plant : ?

A) Seed B) Leaf
C) Twig D) Root
 
Answer & Explanation Answer: A) Seed

Explanation:

A bud is an undeveloped or embryonic shoot and may be specialized to develop flowers. Similarly, Seed is undeveloped and may be developed into a plant.

 

Hence, Flower : Bud :: Plant : Seed.

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Filed Under: Analogy
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Q:

Find the odd man out
2 4 8 16 36

A) 4 B) 8
C) 16 D) 36
 
Answer & Explanation Answer: D) 36

Explanation:

2+2=4

4+4=8

8+8=16

16+16=32 but  it is given 36

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