Quantitative Aptitude - Arithmetic Ability Questions

Q:

A profit of Rs. 960 is divided between A and B in the ratio 1/3:1/2. The difference of their profit is :

A) Rs.120 B) Rs.160
C) Rs.180 D) Rs.240
 
Answer & Explanation Answer: D) Rs.240

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

To travel 612 km, an Express train takes 9 hours more than Rajdhani. If the speed of the Express train is doubled, it takes 3 hours less than Rajdhani. The speed (in km/hr) of Rajdhani is

A) 40.8 B) 51
C) 30.6 D) 61.2
 
Answer & Explanation Answer: A) 40.8

Explanation:
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Filed Under: Time and Distance
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Q:

The average marks of 18 students in an examination was 60. It was later found that the marks of one student had been wrongly entered as 63 instead of 36. The correct average is:

A) 59 B) 59.5
C) 58 D) 58.5
 
Answer & Explanation Answer: D) 58.5

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Filed Under: Average
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Q:

A trader sells wire and gains 60% on the cost price. What will be the profit % on selling price?

A) 33.33 B) 40
C) 60 D) 37.5
 
Answer & Explanation Answer: D) 37.5

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

If a, b and c are positive integers such that 1a+1b+1c+12 = 1623, then what is the mean of a, b and c?

A) 1 B) 2
C) 1.33 D) 2.33
 
Answer & Explanation Answer: B) 2

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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:

The difference between the simple interest obtained by investing Rs. 'X' with 8% per annum for an year and by investing Rs. 'X+1400' with 8% per annum for two years is 240 Rs. Find the value of X.

A) 200 B) 100
C) 400 D) 300
 
Answer & Explanation Answer: A) 200

Explanation:

[(X+1400)*8*2/100] - [(X*8*1)/100]= 240
0.16X + 14*16 - 0.08X = 240
0.08X = 240 - 224
0.08X = 16
X = Rs. 200

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Filed Under: Simple Interest
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Q:

In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels always come together?

A) 720 B) 1440
C) 1800 D) 3600
 
Answer & Explanation Answer: B) 1440

Explanation:

Given word is THERAPY.

Number of letters in the given word = 7

Number of vowels in the given word = 2 = A & E

Required number of different ways, the letters of the word THERAPY arranged such that vowels always come together is

6! x 2! = 720 x 2 = 1440.

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Filed Under: Permutations and Combinations
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