Aptitude and Reasoning Questions

Q:

Given that 100.48 = x,  100.70 = y and xz = y2,  then the value of z is close to ___ ?

A) 3.7 B) 2.7
C) 3.6 D) 2.9
 
Answer & Explanation Answer: D) 2.9

Explanation:

xz = y2        10(0.48z) = 10(2 x 0.70) = 101.40

 0.48z = 1.40

 z = 140/18 = 35/12 = 2.9 (approx.)

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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10 8565
Q:

Find the missing number in series 1 4 27

A) 125 B) 625
C) 404 D) 256
 
Answer & Explanation Answer: D) 256

Explanation:

It follows the rule that

 

1

 

2x2  

 

3x3x3  

 

4x4x4x4  

 

5x5x5x5x5 

 

So the missing number is 4x4x4x4 = 256.

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Filed Under: Number Series
Exam Prep: CAT , Bank Exams , AIEEE
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21 8564
Q:

The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

A) 50% B) 40%
C) 30% D) 20%
 
Answer & Explanation Answer: A) 50%

Explanation:

Let l, b the sides of the base, so that the area of the base = lb
remains constant.
Let ‘h’ be the height of the solid.
Volume of the solid, V = l× b× h.
Since the volume is to be increased by 50%

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

8 8556
Q:

Firm : Flabby :: Piquant : ?

A) Pleasant B) Bland
C) Small D) Salty
 
Answer & Explanation Answer: B) Bland

Explanation:

The words in each pair are antonyms of each other.

 

Hence, Firm : Flabby :: Piquant : Bland.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams
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8 8554
Q:

 40 % of 250 = 50% ?

A) 200 B) 100
C) 150 D) 400
 
Answer & Explanation Answer: A) 200

Explanation:

As per given 

 

 40100×250 =50100×x

 

x=200

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams
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6 8552
Q:

Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ?

A) 40 km B) 50 km
C) 70 km D) 80 km
 
Answer & Explanation Answer: D) 80 km

Explanation:

Let the total distance be 'x' km.

Time taken to cover remaining 40% of x distance is   t1=40×x100×48


But given time taken to cover first 60% of x distance is   t2=t1+2060hrs

 t2=60×x100×48

60×x100×48= 40×x100×48+2060

 x=80 km.

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

12 8550
Q:

A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ?

A) 28 kmph B) 24 kmph
C) 26 kmph D) 32 kmph
 
Answer & Explanation Answer: B) 24 kmph

Explanation:

Total time taken = k/40 + 2k/20 hours

= 5k/40 = k/8 hours

Average speed = 3k/(k/8) = 24 kmph.

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Filed Under: Problems on Trains
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6 8546
Q:

In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ?

A) Quarter months B) Half year
C) 2 years D) 1 year
 
Answer & Explanation Answer: B) Half year

Explanation:

3300 ----- 3% ↑ (1st time interval, 99) → 3399.

Here, time interval is given as half-yearly i.e. 6 months.

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Filed Under: Compound Interest
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3 8544