Quantitative Aptitude - Arithmetic Ability Questions

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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1 2097
Q:

A batsman makes a score of 95 runs in the 13th match and thus increases his average runs per match by 4. What is his average after the 13th match?

A) 47 B) 43
C) 45 D) 49
 
Answer & Explanation Answer: A) 47

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

3 2097
Q:

If a - b = 2 and ab = 24, then what is the value of a3- b3?

A) 280 B) 124
C) 140 D) 152
 
Answer & Explanation Answer: D) 152

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 2096
Q:

In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

A) 2√13 cm B) 5√3 cm
C) 4√6 cm D) 6√5 cm
 
Answer & Explanation Answer: C) 4√6 cm

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 2095
Q:

If 10% loss is made on selling price, then the rate of loss on the cost price will be

A) 11 1/9% B) 9 1/11%
C) 10% D) 11%
 
Answer & Explanation Answer: A) 11 1/9%

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

1 2095
Q:

A trader had 12 quintals of wheat. He sold a part of it at 13% profit and the rest at 23% profit, so that he made a total profit of 17 %. How much wheat did he sell at 23% profit?

A) 720 kg B) 240 kg
C) 480 kg D) 960 kg
 
Answer & Explanation Answer: C) 480 kg

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

3 2093
Q:

The amount of simple interest accrued on an amount of Rs 28,500 in seven years is Rs 23,940 What is the rate of interest p.c.p.a ?

A) 10.5 B) 12.5
C) 11 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:

Simple Interest = S.I= pnr/100 Given, S.I = 23940 , p = 28500 , n = 7 thus, r = 100x23940/28500x7 = 12

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Filed Under: Simple Interest

4 2093
Q:

Excluding stoppages, the speed of a bus is 72 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour?

A) 12 B) 8
C) 15 D) 10
 
Answer & Explanation Answer: D) 10

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

4 2093