Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a single throw with 2 dices, what is probability of neither getting an even number on one and nor a multiple of 3 on other?

A) 11/36 B) 25/36
C) 5/6 D) 1/6
 
Answer & Explanation Answer: B) 25/36

Explanation:

We first calculate the probability of getting an even number on one and a multiple of 3 on other,Here, n(s) = 6x6 = 36 and

E = (2,3) (2,6) (4,3) (4,6) (6,3) (6,6) (3,2) (3,4)(3,6) (6,2)(6,4)

n(E) = 11P(E) = 11/36Required probability = 1-11/36 = 25/36

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Filed Under: Probability
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Job Role: Bank PO , Bank Clerk

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Q:

48 people could complete a task in 17 days. After 6 days, 4 of the workers left. How many days from then will it take to complete the task?

A) 12 B) 13
C) 15 D) 16
 
Answer & Explanation Answer: A) 12

Explanation:

Given, 48 people can do a work in 17 days. So total work = 48 x 17 = 816
Work done by 48 people in 6 days = 288.

The remaining work = 816 - 288 = 528
After 6 days four workers left. So number of people working is 44
Total number of days required for 44 men to complete the remaining work = 528/44 = 12

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

1 3244
Q:

21% of 500 + 31% of 1100 - 30% of 790 = ? 

A) 209 B) 290
C) 309 D) 390
 
Answer & Explanation Answer: A) 209

Explanation:

Given 21% of 500 + 31% of 1100 - 30% of 790 = ?

 

? = 21 x 5 + 31 x 11 - 3 x 79

? = 105 + 341 - 237

? = 446 - 237

? = 209.

 

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4 3243
Q:

Three  cars A, B and C  started  from  a  point at 5  pm, 6  pm  and 7  pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?

A) 120 B) 110
C) 105 D) 100
 
Answer & Explanation Answer: A) 120

Explanation:

Distance covered by A till 6pm = 60 km

Distance covered by A till 7 pm = 120 km

Time taken by B to catch A = 60/(80-60 ) = 3 hrs

So A and B will meet at 6pm + 3 hrs = 9pm

Since we know that all three met at the same time

The time taken by C to cover 120 km

difference will be  = 9pm –7pm = 2hrs

Therefore,(x –60 )*2 = 120x = 120 km/hr

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Filed Under: Time and Distance
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Q:

A, B and C invested amounts in the ratio 3 : 4 : 5 respectively. If the schemes offered compound interest at the rate of 20% per annum, 15% per annum and 10% per annum respectively, then what will be the ratio of their amounts after 1 year?

A) 3 : 15 : 25 B) 6 : 6 : 5
C) 36 : 46 : 55 D) 12 : 23 : 11
 
Answer & Explanation Answer: C) 36 : 46 : 55

Explanation:
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1 3223
Q:

Simple Interest received by a person in 10 years on a principal of Rs 9500 is 130% of the principal. What is the rate of interest (in %) per annum?

A) 12 B) 13
C) 15 D) 19
 
Answer & Explanation Answer: B) 13

Explanation:
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Q:

Find the standard deviation of {11, 7, 10,13, 9}

A) 1 B) 2
C) 4 D) 5
 
Answer & Explanation Answer: B) 2

Explanation:
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Q:

What is the average of first 11 multiples of 11?

A) 22 B) 44  
C) 55 D) 66
 
Answer & Explanation Answer: D) 66

Explanation:
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Filed Under: Numbers
Exam Prep: Bank Exams

6 3219