Quantitative Aptitude - Arithmetic Ability Questions

Q:

If ax= by= cz and b2= ac, then what is 1x+1z equal to ?

A) 1/y B) -1/y
C) 2/y D) -2/y
 
Answer & Explanation Answer: C) 2/y

Explanation:
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Q:

X can complete 5/7 part of a work in 10 days and Y can complete 3/4 part of the same work in 9 days. In how many days will both complete 13/21 part  of the total work?

 

A)  6 B) 4
C) 3 D) 12
 
Answer & Explanation Answer: B) 4

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Filed Under: Time and Work
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Q:

A, B and C can do a job working alone in 12, 16 and 24 days respectively. In how many days they can do the job if they worked together?

A) 16/3 B) 15/4
C) 17/3 D) 19/4
 
Answer & Explanation Answer: A) 16/3

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Q:

P and Q can do a project in 150 and 100 days respectively. In how many days can they complete 60% of the project if they work together?

A) 12 days B) 72 days
C) 42 days D) 36 days
 
Answer & Explanation Answer: D) 36 days

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Q:

Ravi invested Rs.P in a scheme A offering simple interest at 10% p.a. for two years. He invested the whole amount he received from scheme A, in another scheme (B) offering simple interest at 12% p.a. for five years. If the difference between the interests earned from schemes A and B was Rs. 13,00/, what is the value of P ?

A) 2500 B) 2000
C) 3000 D) 3500
 
Answer & Explanation Answer: A) 2500

Explanation:

It is given that the initial amount invested in scheme A is Rs P at 10%per Annum S.I. =PTR/100 = P x 10 x 2/100 Now the total amount after 2 years is = 1.2P New Rate of interest = 12% per annum Time = 5 years S.I for next 5 years when new principal amount is 1.2 P = 1.2Px12x5/100 = 0.72P Total amount after 5 years at 12% per annun = 1.72P Given that 1.72P - 1.2P = 1300 P = 1300/0.52 P = Rs. 2500

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Filed Under: Simple Interest

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Q:

3/5 as a decimal fraction?

A) 0.25 B) 0.45
C) 0.60 D) 0.75
 
Answer & Explanation Answer: C) 0.60

Explanation:

Given fraction is 3/5

Now, multiply with 2 for numerator and denominator

we get,

3/5 x 2/2 = 6/10

 

When we divide, 6 with 10, we get 0.6 as quotient.

 

Hence, 3/5 as a decimal fraction is 0.6.

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Filed Under: Decimal Fractions
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Q:

What approximate value should come in place of the question mark (?) in the following equation (Note: You are not expected to calculate the exact value)?

[(7.99)2–(13.001)2+(4.01)3]2=?

A) -1800 B) 1450
C) -1660 D) 1660
 
Answer & Explanation Answer: D) 1660

Explanation:

[(7.99)^2–(13.001)^2+(4.01)^3]^2= X X= [8^2-13^2+4^3]^2 X= [64-169+64]^2 X= [-41]^2 X=1681

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Q:

A uniformly moving train of length 480 m takes 3 minutes to completely cross a platform. If the same train, with the same speed crosses a pole completely in 30 sec, then the length of the platform is -

A) 1 km B) 600 m
C) 4.8 km D) 1.2 km
 
Answer & Explanation Answer:

Explanation:

Let length of platform be ‘y’metres.

Then, at the platform,Distance travelled = y + (length of train) = (y + 480)m

Then, Speed of train = (y + 480)m / (3x60) sec = (y+480)/180 ...(1)

Also, at the pole,Distance travelled = length of train = 480m

Then, Speed of train = 480m / 30sec = 16 m/s ...(2)

Equating eq.(1) & eq.(2), we get,

(y+480)/180 = 16(y+480) = 16 x 180 = 2880

y = 2880 –480 = 2400m or 2.4 km long platform.

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Filed Under: Problems on Trains
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