Quantitative Aptitude - Arithmetic Ability Questions

Q:

A train travels 40% faster than a car. Both start from point A at the same time and reach point B, 140 km away at the same time. On the way the train takes 25 minutes for stopping at the stations. What is the speed (in km/hr) of the train?

A) 67 B) 134.4
C) 145.9 D) 160
 
Answer & Explanation Answer: B) 134.4

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

1 1935
Q:

A rice trader buys 8 quintals of rice for Rs 3,600. 10% rice is lost in transportation. At what rate should he sell to earn 15% profit?

A) Rs 352.1 per quintal B) Rs 517.5 per quintal
C) Rs 575 per quintal D) Rs 582.3 per quintal
 
Answer & Explanation Answer: C) Rs 575 per quintal

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

0 1935
Q:

A company, at the time of inflation reduced the staff in the ratio 5 : 3 and average salary per employee is increased in the ratio 7 : 8. By doing so, the company saved Rs 55000. What was the initial expenditure (in Rs) of company?

A) 155000 B) 160000
C) 175000 D) 215000
 
Answer & Explanation Answer: B) 160000

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

2 1934
Q:

The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?

A) 360sq metre B) 380 sq metre
C) 360 metre D) 400 sq metre
 
Answer & Explanation Answer: A) 360sq metre

Explanation:

Let the breadth of rectangle be x m.

Then, the length of rectangle = (x+ 6) m

Perimeter of rectangle = 2 (x+x+ 6) m

Therefore, 2 (x+x+ 6) = 84 m

4x+ 12 = 84

4x= 84 –12
4x = 72/4 = 18
Therefore, length of rectangle = 18 + 6 = 24 m = height of triangle

Diagonal of rectangle = √(324+576) = 30 m = base of triangle

Therefore, are of triangle =1/2× base × height =1/2× 24 × 30 = 360 sq. m

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

3 1933
Q:

Two numbers are more than the third number by 16.25% and 55% respectively. First number is what percentage of the second number?

A) 85 B) 81.5
C) 75 D) 61.25
 
Answer & Explanation Answer: C) 75

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Filed Under: Percentage
Exam Prep: Bank Exams

0 1933
Q:

The mean of marks secured by 55 students in division A of class X is 58, 45 students of division B is 54 and that of 75 students of division C is 52. Find the mean of marks of the students of three divisions of Class X.

A) 53.7 B) 54.4
C) 53 D) 55.8
 
Answer & Explanation Answer: B) 54.4

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Filed Under: Average
Exam Prep: Bank Exams

0 1933
Q:

Ranjith can complete a task in 25 days while Anji can finish it in 20 days. They work together on the task for 5 days and then Ranjith leaves. In how many days will Anji finish the remaining work?

A) 15 days B) 10 days
C) 11 days D) 9 days
 
Answer & Explanation Answer: C) 11 days

Explanation:

Lcm of 25 and 20 is 100. So total work = 100 units
Ranjith can do 4 units per day while anju can do 5 units per day
They together complete 5 days of work i.e 9 x 5 = 45 units
The remaining 55 units of work is done by anju in 55/5 days (or) 11 days

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

2 1933
Q:

What is the value of cot 5π/3?

A) 1/√3 B) -1/√3
C) √3 D) -√3
 
Answer & Explanation Answer: B) -1/√3

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1932