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 Quantitative Aptitude - Arithmetic Ability Questions

Q:

The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?

A) 456 kms B) 482 kms
C) 552 kms D) 556 kms
 
Answer & Explanation Answer: C) 552 kms

Explanation:

Total distance travelled in 12 hours    =(35+37+39+.....upto 12 terms)
This is an A.P with first term, a=35, number of terms,
n= 12,d=2.
Required distance    = 12/2[2 x 35+{12-1) x 2]
=6(70+23)
= 552 kms.

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Filed Under: Time and Distance

342 61932
Q:

If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?

A) 1 B) 3
C) 7 D) 14
 
Answer & Explanation Answer: C) 7

Explanation:

Let the required number days be x.

Less spiders, More days (Indirect Proportion)

Less webs, Less days (Direct Proportion)

 Spiders1:7Webs7:1} 7:x 

=> 1 * 7 * x = 7 * 1 * 7 

=> x= 7

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Filed Under: Chain Rule

108 61880
Q:

Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually

A) 2109 B) 3109
C) 4109 D) 6109
 
Answer & Explanation Answer: B) 3109

Explanation:

Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.
Amount = Rs'. [8000 X (1+(15/100))^2 X (1+((1/3)*15)/100)]
=Rs. [8000 * (23/20) * (23/20) * (21/20)]
= Rs. 11109. .
:. C.I. = Rs. (11109 - 8000) = Rs. 3109.

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

346 61775
Q:

{8 - (28 - 53)} / {-4 x 5 - (-9)} = ?

 

A) 11 B) -3
C) 3 D) -11
 
Answer & Explanation Answer: B) -3

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

13 61694
Q:

What should come in place of question mark (?) in the following number series?

38, 195, ?, 4905, 24530, 122655

A) 980 B) 885
C) 824 D) 1021
 
Answer & Explanation Answer: A) 980

Explanation:

The given series follows the pattern that,

 

×5+5,   ×5+5,   ×5+5,   ×5+5,   ×5+5

 

38 x 5 + 5  = 195

 

195 x 5 + 5 = 980

 

980 x 5 + 5 = 4905

 

4905 x 5 + 5 = 24530

 

24530 x 5 + 5 = 122655

 

So the missing number is 980 .

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

7 61648
Q:

8, 14, 24, 60, 180

Find the odd man out of the series?

A) 180 B) 60
C) 24 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:

The given series is 8, 14, 24, 60, 180

8

8 x 1.5 = 12 (NOT 14)

12 x 2 = 24

24 x 2.5 = 60

60 x 3 = 180

 

Hence, the odd man in the given series is 12.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

4 61469
Q:

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A) 1/3 B) 3/5
C) 8/21 D) 7/21
 
Answer & Explanation Answer: A) 1/3

Explanation:

Total number of balls = (8 + 7 + 6) = 21.

Let E = event that the ball drawn is neither red nor green 

            = event that the ball drawn is blue.

n(E) = 7.

P(E) = n(E)/n(S) = 7/21 = 1/3.

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Filed Under: Probability

77 61369
Q:

How many arrangements can be made out of the letters of the word COMMITTEE, taken all at a time, such that the four vowels do not come together?

A) 216 B) 45360
C) 1260 D) 43200
 
Answer & Explanation Answer: D) 43200

Explanation:

There are total 9 letters in the word COMMITTEE in which there are 2M's, 2T's, 2E's.

The number of ways in which 9 letters can be arranged = 9!2!×2!×2! = 45360

 

There are 4 vowels O,I,E,E in the given word. If the four vowels always come together, taking them as one letter we have to arrange 5 + 1 = 6 letters which include 2Ms and 2Ts and this be done in 6!2!×2! = 180 ways.

 

In which of 180 ways, the 4 vowels O,I,E,E remaining together can be arranged in 4!2! = 12 ways.

 

The number of ways in which the four vowels always come together = 180 x 12 = 2160.

 

Hence, the required number of ways in which the four vowels do not come together = 45360 - 2160 = 43200

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60 61327