Aptitude and Reasoning Questions

Q:

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?

A) 60% B) 50%
C) 70% D) 45%
 
Answer & Explanation Answer: C) 70%

Explanation:

Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295

Required percentage = (295/420) * 100
= 70%(approx)

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

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Q:

A box contains 5 green, 4 yellow and 5 white pearls. Four pearls are drawn at random. What is the probability that they are not of the same colour ?

A)  11/91

B)  4/11

C)  1/11

D) 90/91

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: D) Option D

Explanation:

Let S be the sample space. Then,
n(s) = number of ways of drawing 4 pearls out of 14


= C414 ways = 14×13×12×114×3×2×1= 1001


Let E be the event of drawing 4 pearls of the same colour.
Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)

  C15+ C44+ C15 = 5+1+5 =11

 P(E) = n(E)n(S)=111001=191  

 

 Required probability = 1-191=9091

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams
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Q:

The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 

A) 15 cm B) 18 cm
C) 34 cm D) 26 cm
 
Answer & Explanation Answer: C) 34 cm

Explanation:

Let the side of the square be 's' cm

 

length of rectangle = (s+5) cm

 

breadth of rectangle = (s-3)cm

 

(s+5) (s-3) = 

 

s2 - 5s - 3s - 15 = s2 

 

2s = 15

 

Perimeter of rectangle = 2(L+B) = 2(s+5 + s–3) = 2(2s + 2)

 

= 2(15 + 2) = 34 cm 

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Filed Under: Area
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Q:

The value of log55log49log32 is :

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

Explanation:
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Filed Under: Logarithms

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Q:

78 of 448 + 67 of 3374 = ?

A) 3084 B) 3184
C) 3584 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

78 x 448 + 67 x 3374 => 392 + 2892=> 3284

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

What is the area of an obtuse angled triangle given below with two sides are 8 and 12 and the angle included between two sides is 150 deg?

A) 48 sq units B) 24 sq units
C) 12 sq units D) 6 sq units
 
Answer & Explanation Answer: B) 24 sq units

Explanation:

We know that, 

The area of a triangle with two sides given and included angle

A = 1/2 x product of sides x Sin(angle) 

 

Here the two sides are 8 & 12

Angle = 150

 

Area = 1/2 x 8 x 12 x sin150

Sin(150) = sin(90+60) = cos(60) = 1/2

 

A = 48 x 1/2 = 24

Area of the given triangle = 24 sq units.

 

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Filed Under: Area
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13 4969
Q:

The following question consist of two words each that have a certain relationship to each other, followed by lettered pairs of words.Select the lettered pair that has the same relationship as the original pair of words.

Pedant  :  Erudition

A) Blunt : Politician B) Enemy : Friendly
C) Diplomat : Tactless D) Prude : Modesty
 
Answer & Explanation Answer: D) Prude : Modesty

Explanation:

A pedant is a person who makes a display of erudition ( scholarly learning). Similarly , a prude is a woman who makes display of modesty.

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Filed Under: Analogy

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Q:

Which of the following could not be the lengths of the sides of a right angled triangle?

A) 3, 4, 5 B) 5, 12, 13
C) 8, 15, 17 D) 12, 15, 18
 
Answer & Explanation Answer: D) 12, 15, 18

Explanation:

Using Pythagoras theorem we can see that 122 + 152 is not equal to 182
Neither is 102 + 242 = 252

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Filed Under: Ratios and Proportions
Exam Prep: GRE

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