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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

5% of 40,000 is

A) 20000 B) 2000
C) 200 D) 20
 
Answer & Explanation Answer: B) 2000

Explanation:

5% of 40,000  = 5100 × 40,000 = 5 × 400 = 2,000  

 

Hence, 5% of 40,000 = 2,000.

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Filed Under: Percentage
Exam Prep: CAT , Bank Exams , AIEEE
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7 4010
Q:

A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?

A) 20.57 B) 24
C) 28 D) 26.52
 
Answer & Explanation Answer: B) 24

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

4 4009
Q:

16 of 225 is =

A) 7.11 B) 7.21
C) 6.87 D) 7.58
 
Answer & Explanation Answer: A) 7.11

Explanation:

16 of 225 is = 

16 = p × 225100p = 1600225 = 7.1111

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Filed Under: Percentage
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9 4000
Q:

5th January 2018 was a Friday. Which of the following years will also have 5th January on a Friday?

A) 2022 B) 2020
C) 2024 D) 2023
 
Answer & Explanation Answer: C) 2024

Explanation:
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Filed Under: Calendar
Exam Prep: Bank Exams

15 3997
Q:

Tushar takes 6 hours to complete a piece of work, while Amar completes the same work in 10 hours. If both of them work together, then what is the time required to complete the work?

 

A)  3 hours B) 3 hours 15 minutes
C) 3 hours 30 minutes D) 3 hours 45 minutes
 
Answer & Explanation Answer: D) 3 hours 45 minutes

Explanation:

Let them take x hours working together

1/x = 1/10 + 1/6 = 8/30

X= 30/8 hours = 15/4 hours = 3 hours 45 minutes

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Filed Under: Time and Work
Exam Prep: Bank Exams

1 3996
Q:

If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

Explanation:

Let assume the value of a,b &c that will satisfy the equation.
so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1
here all three cases satisfy the equation
assume any one a=1,b=1,c= -1

Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0

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Filed Under: Numbers
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5 3994
Q:

Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?

A) 5 lit B) 3 lit
C) 8 lit D) 2 lit
 
Answer & Explanation Answer: A) 5 lit

Explanation:

Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4 => Quantity of milk in Jar A = 5/9 x 36 = 20 litres Quantity of water in Jar A = 36 - 20 = 16 litres Let quantity of water in Jar B = x litres => Quantity of milk in Jar B = (20 - x) litres Acc. to ques, =>[20 + (20-x)]/(16+x) = 5/3 => 120−3x = 80+5x => 5x +3x = 120−80 => 8x = 40 => 5 litres.

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Filed Under: Alligation or Mixture

1 3988
Q:

5 boys and 3 girls can together cultivate a 23 acre field in 4 days and 3 boys and 2 girls together can cultivate a 7 acre field in 2 days. How many girls will be needed together with 7 boys, if they cultivate 45 acres of field in 6 days?

A) 4 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: C) 2

Explanation:

Let workdone 1 boy in 1 day be b

and that of 1 girl be g

From the given data,

4(5b + 3g) = 23

20b + 12g = 23 .......(a)

 

2(3b + 2g) = 7

6b + 4g = 7 ........(b)

 

Solving (a) & (b), we get

b = 1, g = 1/4

 

Let number og girls required be 'p'

6(7 x 1 + p x 1/4) = 45

=> p = 2.

 

Hence, number of girls required = 2

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Filed Under: Time and Work
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9 3986