Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two cyclists A and B start cycling at 21 km/hr and 24 km/hr towards each other. They meet after 1 hour and 12 minutes. How far (in km) were they from each other when they started?

A) 48 B) 42
C) 54 D) 36
 
Answer & Explanation Answer: C) 54

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Vikram and Vivek can finish a work in 50 days. They worked together for 20 days and then left. How much work has been done by them?

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

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the ratio of the length of a rectangle to the side of a square?

I. The area of the square is 576 sq cm and the area of the rectangle is 600 sq cm.

II. The breadth of the rectangle is half the side of the square.

A) The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. B) The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
C) The data in either Statement I alone are in Statement II alone are sufficient to answer the question. D) The data in both the Statements I and II are not sufficient to answer the question.
 
Answer & Explanation Answer:

Explanation:

From statement I, Area of square = 576 sq cm
Side of square = 24 cm
Area of rectangle = l × b
l × b = 600 sq cm
From statement II, Suppose the breadth of the
rectangle is x. Then side of the square = 2x
Combining both the information, we have
x =12 cm
Now, l × 12 = 600

l=60012=50 cm

Required ratio = 5024=2512=25:12

Both the statements together are sufficient.

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Q:

If 27N4 is divisible by 11, then what is the value of N?

A) 2 B) 7
C) 9 D) 6
 
Answer & Explanation Answer: C) 9

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

What is the simplified value of (1– sin A cos A)(sin A + cos A)?

A) sin2A – cos2A B) sin3A + cos3A
C) 0 D) 1
 
Answer & Explanation Answer: B) sin3A + cos3A

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?

A) 22 cm B) 16.5 cm
C) 11 cm D) 28 cm
 
Answer & Explanation Answer: C) 11 cm

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

If one more cobbler is hired the output of a shoe making unit will increase from 50 pairs of shoes to 55 pairs per day, but then the shoe making unit will have to reduce the price of a pair of shoes from Rs 3200 to Rs 3000 per pair to sell the additional output, the marginal revenue product of the last cobbler is

A) Rs 1000 B) Rs 5000
C) Rs 4000 D) Rs 200
 
Answer & Explanation Answer: B) Rs 5000

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

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Q:

The flight fare between two cities is increased in the ratio 11:13. What is the increase (in Rs) in the fare, if the original fare was Rs 12100?

A) 14300 B) 2200
C) 22000 D) 1430
 
Answer & Explanation Answer: B) 2200

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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