Aptitude and Reasoning Questions

Q:

One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

A) 24 B) 20
C) 26 D) 34
 
Answer & Explanation Answer: B) 20

Explanation:

The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ½ x 8 x 5=20

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Filed Under: Volume and Surface Area
Exam Prep: GRE

2 6616
Q:

Simplyfiy : 314÷114-12212-14+16

A) 78 B) 88
C) 98 D) 108
 
Answer & Explanation Answer: A) 78

Explanation:

Given exp =134÷54-1252-3-212134÷54-1252-112

 

134÷54-1230-112 = 134÷54-2924

 

 = 134÷30-2924=78

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Filed Under: Simplification

4 6615
Q:

A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ?

A) 11 B) 7
C) 9 D) 13
 
Answer & Explanation Answer: C) 9

Explanation:

Here the number of cogs is inveresly proportional to number of revolutions

=> More cogs less revolution
=> 6 : 14 :: x : 21
=> (21x6)/14 = 9

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

6 6614
Q:

Find the area of the rectangle or square with the given dimensions L = 5 inches, W= 3 inches?

A) 13 B) 14
C) 15 D) 16
 
Answer & Explanation Answer: C) 15

Explanation:

We know that,

Area of rectangle A = L x W = 5 x 3 = 15 sq.inches.

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

2 6609
Q:

The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ?

A) 32 B) 36
C) 44 D) 52
 
Answer & Explanation Answer: A) 32

Explanation:

Given ratio of number of sheep and horses = 4 : 15
Let number of sheep and horses are 4k and 15k
Number of horses = 13200/110 = 120
Now 15K = 120 and k = 8
Number of sheep = 4k = (4 x 8) = 32

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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8 6604
Q:

The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes  ?

A) 200, 400 B) 100, 300
C) 100, 200 D) 150, 200
 
Answer & Explanation Answer: D) 150, 200

Explanation:

The incomes of A and B be 3P and 4P.

Expenditures = Income - Savings

(3P - 100) and (4P - 100)

The ratio of their expenditure = 1:2

(3P - 100):(4P - 100) = 1:2

2P = 100 => P = 50

Their incomes = 150, 200

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

6 6602
Q:

A boat takes 2 hours to travel from point A to B in still water. To find out its speed upstream, which of the following information is/are required?

A. Distance between point A and B.

B. Time taken to travel downstream from B to A.

C. Speed of the stream of water.

A) Only A and B B) Only B and C
C) All are required D) Any one pair of A and B, B and C or C and A is sufficient
 
Answer & Explanation Answer: D) Any one pair of A and B, B and C or C and A is sufficient

Explanation:

Let distance between A & B = d km
Let speed in still water = x kmph
Let speed of current = y kmph

from the given data,
d/x = 2

From A) we get d
From B) we get d/x+y
From C) we get y

 

So, Any one pair of A and B, B and C or C and A is sufficient to give the answer i.e, the speed of upstream.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

7 6596
Q:

8 years ago Ramana's mother was five times older than her daughter. After 8 years the mother will be twice older than her daughter. Find the present age of Ramana?

Answer

Let Ramana's age 8 years ago be x years and mother's age 8 years ago be 5x


2(x + 16) = 5x + 16


2x + 32 = 5x + 16


3x = 16 


  years


Hence, Present age of Ramana =  years

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Subject: Problems on Ages

7 6596