Quantitative Aptitude - Arithmetic Ability Questions

Q:

How many degrees will the minute hand move, in the same time in which the second hand move 4800 ?

A) 80 deg B) 160 deg
C) 140 deg D) 135 deg
 
Answer & Explanation Answer: A) 80 deg

Explanation:

As minute hand covers, 60 degrees

Minute hand covers 4800/60 = 80°

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Q:

A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ?

A) Rs. 6000 B) Rs. 4500
C) Rs. 5000 D) Rs. 6500
 
Answer & Explanation Answer: C) Rs. 5000

Explanation:

Income = Rs. 100

Expenditure = Rs. 80

Savings = Rs. 20

Present Expenditure 80x(15/100) = Rs. 12 = 80 + 12 = Rs. 92

Present Savings = 100 – 92 = Rs. 8

100 ------ 8
? --------- 400 => 5000

His salary = Rs. 5000

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Filed Under: Profit and Loss
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24 20563
Q:

If A : B = 2 : 3 and B : C = 4 : 5, then what is (A + C) : B?

 

A) 8 : 5 B) 7 : 3
C) 23 : 12 D) 25 : 14
 
Answer & Explanation Answer: C) 23 : 12

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

4 20552
Q:

What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ?

A) 165 degrees B) 172.5 degrees
C) 112.5 degrees D) 125.5 degrees
 
Answer & Explanation Answer: B) 172.5 degrees

Explanation:

The minute hand angle is the easiest since an hour (i.e. 60 minutes) corresponds to the entire 360 degrees, each minute must correspond to 6 degrees. So just multiply the number of minutes in the time by 6 to get the number of degrees for the minute hand.
Here 15 minutes corresponds to 15 x 6 = 90 degrees

Next, you have to figure out the angle of the hour hand. Since there are 12 hours in the entire 360 degrees, each hour corresponds to 30 degrees. But unless the time is EXACTLY something o'clock, you have to write the time as a fractional number of hours rather than as hours and minutes.
Here the time is 9:15 which is (9 + 15/60) = 37/4 hours. Since each hour corresponds to 30 degrees, we multiply 30 to get (37/4)(30) = 277.5 degrees.

Since the hour hand is at 277.5 degrees and the minute hand is at 90 degrees, we can subtract to get the angle of separation. 277.5 - 90 = 187.5 =~ 360 - 187.5 = 172.5 degrees.

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38 20520
Q:

The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.

A) 8.04kg B) 8.14kg
C) 8.24kg D) 9.04kg
 
Answer & Explanation Answer: A) 8.04kg

Explanation:

Volume of the metal used in the box = External Volume - Internal Volume 

                                                    = [(50 x 40 x 23) - (44 x 34 x 20)] cu.cm  

                                                    = 16080 cu.cm 

 

Weight of the metal =[(16080 x 0.5)/1000] kg = 8.04 kg.

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Q:

The ratio of the father's age to the son's age is 3 : 1. The product of their ages is 147. The ratio of their ages after 5 years will be?

Answer

Let father's age be 3x and son's age be x years




Father's age after 5 years = 3x + 5 = 26 years


Son's age after 5 years = x + 5 = 12 years


 Ratio of father's and son's ages = 26 : 12 = 13 : 6


 

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Subject: Problems on Ages

89 20494
Q:

An accurate clock shows 7 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?

A) 144º B) 168º
C) 180º D) 150º
 
Answer & Explanation Answer: C) 180º

Explanation:

Angle traced by the hour hand in 6 hours =360o12×6 = 180o.

 


 

 


 
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41 20477
Q:

What will come in place of the question mark in the series below?

7, 4.5, 5.5, 12, 49, ?

A) 393 B) 396
C) 354 D) 367
 
Answer & Explanation Answer: A) 393

Explanation:

Ans. 
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393

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Filed Under: Numbers
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2 20471