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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A typist uses a sheet measuring 20cm by 30cm lengthwise.If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is

A) 64% B) 74%
C) 84% D) 94%
 
Answer & Explanation Answer: A) 64%

Explanation:

Area of the sheet = 20×30cm2  

Area used for typing = 20-4×30-6cm2   

required % =384600×100=64%

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

21 18773
Q:

Three cats are roaming in a zoo n such a way that when cat A takes 5 steps, B takes 6 steps and C takes 7 steps.But the 6 steps of A are equal to the 7 steps of B and 8 steps of C. what is the ratio of their speeds?

A) 140:144:147 B) 40:44:47
C) 15:21:28 D) 252:245:240
 
Answer & Explanation Answer: A) 140:144:147

Explanation:

Frequency of step of A:B:C = 5 : 6 : 7

But in terms of size of step, 6A = 7B = 8C

Therefore, Ratio of speeds of A, B and C = 5/6 : 6/7 : 7/8 = 140 : 144 : 147

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Filed Under: Ratios and Proportions

45 18769
Q:

Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x ?

A) 11.8 B) 12.9
C) 13.7 D) 14.5
 
Answer & Explanation Answer: D) 14.5

Explanation:

Let the present ages of Mahesh, Nilesh and Ramesh be k, l and m respectively.
k/l = 5/x ------ (1)
k = m - 18 ------ (2)
m + 9 = 47 ------ (3)
k - l = m ----- (4)
(3) => m = 47 - 9 = 38 years
(2) => k = 38 -18 = 20 years
(1) => 20/l = 5/x => l = 4x
(4) => 4x - 20 = 38
=> 4x = 58 => x = 14.5

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

27 18746
Q:

Select the related word/letters/numbers from the given alternatives:

5 : 100 :: 7 : ?

A) 49 B) 196
C) 91 D) 135
 
Answer & Explanation Answer: B) 196

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability

0 18701
Q:

A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train ?

A) 230 m B) 240 m
C) 260 m D) 320 m
 
Answer & Explanation Answer: A) 230 m

Explanation:

Relative speed = (120 + 80) km/hr


=(200*5/18)m/s = (500/9)m/s

 

Let the length of the other train be x metres.

 

Then, x+270/9 = 500/9 

 

=>  x + 270 = 500

 

=>  x = 230.

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Filed Under: Problems on Trains

19 18690
Q:

The LCM of the three numbers 16, 28 and 42 is

 

A) 168 B) 2
C) 252 D) 336  
 
Answer & Explanation Answer: D) 336  

Explanation:
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Filed Under: HCF and LCM
Exam Prep: Bank Exams

1 18684
Q:

If every seconds Saturday and all Sundays are holidays in a 30 days month beginning on Saturday, then how many working days are there in that month ? (Month starts from Saturday)

A) 25 B) 22
C) 24 D) 23
 
Answer & Explanation Answer: D) 23

Explanation:

As month begins on Saturday, so 2nd, 9th, 16th, 23rd, 30th days will be Sundays. While 8th and 22nd days are second Saturdays. Thus, there are 7 holidays in all.

Hence, no. of working days = 30 – 7 =23

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Filed Under: Calendar
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

55 18660
Q:

In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black pens, 2 white pens and 2 red pens can be chosen?

A) 180 B) 220
C) 240 D) 160
 
Answer & Explanation Answer: A) 180

Explanation:

Number of ways of choosing 2 black pens from 5 black pens in 5C2 ways.

 

Number of ways of choosing 2 white pens from 3 white pens in 3C2 ways.

 

Number of ways of choosing 2 red pens from 4 red pens in 4C2ways.

 

By the Counting Principle, 2 black pens, 2 white pens, and 2 red pens can be chosen in 10 x 3 x 6 =180 ways.

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Filed Under: Permutations and Combinations

12 18655