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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Two numbers are in the ratio of 15 : 11.If their HCF is 13. Find  the numbers.

 

A) 195, 143 B) 196, 143
C) 195, 141 D) 195, 142
 
Answer & Explanation Answer: A) 195, 143

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

6 25053
Q:

A man walks 6 km at a speed of 112kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph.

A) 4314

B) 4213

C) 2413

D) 3414

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: B) Option B

Explanation:

Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmph
time taken indivisually:
=> 6/1.5 = 4 m
=> 8/2 = 4 m
=> 40/8 = 5 m

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Average speed of man= total distance/ total time
=> 54/13 = 4213 kmph

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Filed Under: Time and Distance
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

17 25026
Q:

A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6 AM and they work alternately for one hour each. When will the work be completed?

A) 4 days B) 5 days
C) 6 days D) 7 days
 
Answer & Explanation Answer: C) 6 days

Explanation:

Work donee by A and B in the first two hours, working alternatively = First hour A + Second hour B = (1/4) + (1/12) = 1/3.

Thus, the total time required to complete the work  = 2 (3) = 6 days 

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Filed Under: Time and Work

45 25002
Q:

In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is :

A) 12 B) 24
C) 36 D) 48
 
Answer & Explanation Answer: B) 24

Explanation:

Let the ten's digit be x.

 

Then, unit's digit = x + 2.

 

Number = 10x + (x + 2) = 11x + 2

 

Sum of digits = x + (x + 2) = 2x + 2.

 

(11x + 2) (2x + 2) = 144

=> 22x^2+26x-140=0

 

=> (x - 2)(11x + 35) = 0

 

=> x = 2

 

Hence, Required Number = 11x + 2 = 24

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Filed Under: Problems on Numbers

28 24889
Q:

The ages of Krish and Vaibhav are in the proportion of 3 : 5. After 9 years, the proportion of their ages will be 3 : 4. Then the current age of Vaibhav is:

A) 10 B) 13
C) 15 D) 18
 
Answer & Explanation Answer: C) 15

Explanation:

Krish’s age = 3A and Vaibhav’s age = 5A


(3A+9)/(5A+9) = 3/4


=> 4 (3A + 9) = 3 (5A + 9)


=> A = 3


Therefore, Vaibhav’s age = 15 years.

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Filed Under: Problems on Ages

45 24874
Q:

∆PQR is right angled at Q. If m∠P = 60 deg, then find the value of (secR + 1/2).

 

A) (2√2+√3)/2   B) (√3+4)/2√3
C) √3+2   D) 5/6
 
Answer & Explanation Answer: B) (√3+4)/2√3

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 24856
Q:

The principal that amounts to Rs.4913 in 3 years at 413% per annum compound interest compounded annually is

A) Rs.3096 B) Rs.4076
C) Rs.4085 D) Rs.4096
 
Answer & Explanation Answer: D) Rs.4096

Explanation:

principal = A=4913,T=3, R=413

P=A1+R100T

 

 = Rs.4096

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Filed Under: Compound Interest
Exam Prep: GRE

30 24848
Q:

A 6% stock yields 8% . The market value of the stock is :

A) Rs.48 B) Rs.75
C) Rs.96 D) Rs.133.33
 
Answer & Explanation Answer: B) Rs.75

Explanation:

For an income of Rs. 8, investment = Rs. 100.

 

For an income of Rs 6, investment =Rs. (100/8*6) = Rs. 75

 

Market value of Rs. 100 stock = Rs. 75.

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Filed Under: Stocks and Shares

28 24834