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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If a=x13y13+x-13y-13 then a3-3ay-x is equal to

A) y^2x B) x^2y
C) a^2x D) a^2y
 
Answer & Explanation Answer: A) y^2x

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = ?

A) 0 B) 2
C) 12 D) 10
 
Answer & Explanation Answer: C) 12

Explanation:

Given 

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1

Using BODMAS Rule,

As multiplication precedes addition, 1 x 0 = 0, 

Now, 10 + 0 + 1 + 1 = 10 + 2 = 12.

 

Hence, 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = 12.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

6 2685
Q:

Train A takes 45 minutes more than train B to travel a distance of 450 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?

A) 90 B) 120
C) 100 D) 110
 
Answer & Explanation Answer: C) 100

Explanation:
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Filed Under: Problems on Trains
Exam Prep: Bank Exams

6 2682
Q:

50.003% of 99.8÷49.988 = ?

A) 2 B) 0
C) 1 D) 50
 
Answer & Explanation Answer: C) 1

Explanation:

50.003% of 99.8 ÷ 49.988 = ?

 

? ~= (50 x 100/100)/50

 

? ~= (50 x 100)/(100 x 50)

 

? ~= 1

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

6 2682
Q:

The average age of Hari, his wife and their two children is 23 years. His wife is just 4 years younger than Hari and his wife was 20 years old when their daughter was born. He was 28 years old when their son was born. What is the sum of the age of Hari and his daughter is?

A) 53 years B) 55 years
C) 56 years D) 50 years
 
Answer & Explanation Answer: D) 50 years

Explanation:
H+W+S+D/4 = 23
H= W+4

D =W-20 = H-24

S = H-28

H+H-4+H-24+H-28/4 = 23

H =37 D =13

H + D = 50

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

1 2679
Q:

A, B and C can complete a work in 10, 12 and 15 days respectively. All three of them starts together but after 2 days A leaves the job and B left the job 3 days before the work was completed. C completed the remaining work alone. In how many days was the total work completed?

A) 5 B) 6
C) 7 D) 8
 
Answer & Explanation Answer: C) 7

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

3 2675
Q:

In a bag containing red, green and pink tokens, the ratio of red to green tokens was 5 : 12 while the ratio of pink to red tokens was 7 : 15. What was the ratio of green to pink tokens?

A) 25 : 28 B) 36 : 7
C) 8 :25 D) 12 : 7
 
Answer & Explanation Answer: B) 36 : 7

Explanation:
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Filed Under: Permutations and Combinations
Exam Prep: Bank Exams

9 2674
Q:

What is the percentage decrease in the area of a triangle if its each side is halved?

A) 75% B) 50%
C) 25% D) No change
 
Answer & Explanation Answer: A) 75%

Explanation:
Area of triangle of = ½*a*b* sinθ = A
Where a and b are sides of the triangle and θ be the angle between them
After decreasing each side
New area = ½*(a/2)*(b/2)*sinθ = ¼ A
%decrease = [(A–¼ A)/A ]*100 = 75%
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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