Aptitude and Reasoning Questions

Q:

The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?

A) 18√3 sq cm B) 9√3 sq cm
C) 18√2 sq cm D) 9√2 sq cm
 
Answer & Explanation Answer: A) 18√3 sq cm

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Filed Under: Area
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Q:

Which of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?

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

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Filed Under: Cubes and Dice
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Q:

The effective annual rate of interest corresponding to a nominal rate of 15% per annum payable half-yearly is

A) 15.56 percent B) 30 percent
C) 31.13 percent D) 15 percent
 
Answer & Explanation Answer: A) 15.56 percent

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Filed Under: Simple Interest
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Q:

A piece of paper is folded and punched as shown in the question figures. Indicate how it will appear when it is opened?

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

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Filed Under: Image Analysis
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Q:

If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26θ + cot100θ?

A) -2 B) 0
C) 1 D) 2
 
Answer & Explanation Answer: D) 2

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Filed Under: Simplification
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Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h D) 5 km/h and 2 km/h
 
Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
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Q:

In the following figure, rectangle represents Editors, circle represents choreographers, triangle represents Jugglers and square represents Football players. Which set of letters represents Editors who are neither Jugglers nor football players?

 

 

A) DF B)  FJI
C)  DB D)  AB
 
Answer & Explanation Answer: D)  AB

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Filed Under: Image Analysis
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Q:

2cos[(C+D)/2]sin[(C-D)/2] is equal to

A) sinC + sinD B) sinC - sinD
C) cosC - cosD D) cosC + cosD
 
Answer & Explanation Answer: B) sinC - sinD

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Filed Under: Simplification
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