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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

There are 1650 students in a college. The difference between the number of boys and girls in the college is 400. What is the percentage of girls in the college ?

A) 49 B) 34
C) 43 D) 38
 
Answer & Explanation Answer: D) 38

Explanation:

Let no. of boys be 'B' and no. of girls be 'G'

Here from given data,

B + G = 1650 .....(1)

B - G = 400 .....(2)

From (1) & (2), we get

2B = 2050

=> B = 1025

=> G = 1650 - 1025 = 625

Hence, the % of girls = 625 x 100/1650

=> 38% (approx).

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Filed Under: Percentage
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4 6197
Q:

Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ?

A) 43929 B) 59049
C) 15120 D) 0
 
Answer & Explanation Answer: A) 43929

Explanation:

Number of words with 5 letters from given 9 alphabets formed = 95

 

Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = 9P5

 

Number of words can be formed which have at least one letter repeated =  95 - 9P5

 

= 59049 - 15120

 

= 43929

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Filed Under: Permutations and Combinations
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11 6192
Q:

A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

A) 126 B) 240
C) 120 D) 260
 
Answer & Explanation Answer: A) 126

Explanation:

There are 8 students and the maximum capacity of the cars together is 9.

 

We may divide the 8 students as follows

 

Case I: 5 students in the first car and 3 in the second Or

 

Case II: 4 students in the first car and 4 in the second

 

Hence,     in Case I: 8 students are divided into groups of 5 and 3 in 8C3 ways.

 

Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4 ways.

 

Therefore, the total number of ways in which 8 students can travel is

 

8C3+8C4 = 56 + 70 = 126.

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Filed Under: Permutations and Combinations

0 6189
Q:

There are 7 men and 10 women on a committee selection pool.A committee consisting of President,Vice-President, and Treasurer is to be formed.How many ways can exactly two men be on the committe ?

A) 1200 B) 1240
C) 1260 D) 1620
 
Answer & Explanation Answer: C) 1260

Explanation:

There are 7C2 ways of selecting two men, and 10C1 ways of selecting a woman.Since each position in the committee is different,arrange the three people in 3! ways.

 

So, 7C2*10C1*3! =1260

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1 6189
Q:

Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ?

A) 50 yrs B) 47 yrs
C) 45 yrs D) 42 yrs
 
Answer & Explanation Answer: A) 50 yrs

Explanation:

Let age of retirement = S
so according to the given condition 25000(x-20)
=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)
= 30000 + 210000 + 30000S-990000
= 30000S - 750000
or 25000S - 500000 = 30000x - 750000
or 5000x = 250000
or S = 50 yrs.

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Filed Under: Problems on Ages
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4 6187
Q:

Two partners invest Rs 12500 and Rs 8500 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets Rs 240 more than the other, find the total profit made in the business.

A) 3250 B) 4050
C) 3550 D) 3150
 
Answer & Explanation Answer: D) 3150

Explanation:

Clearly, If 60 % is equally divided then remaining 40% of total profit will be divided between 2 persons A and B in ratio of (profit of A) : (profit of B)= 12,500 : 8500 = 125 : 85 = 25:17
now difference in amount = 25-17 = 8 this difference = 240
therefore 40% of total profit = 240*(25+17)/(25-17) = 1260
∴ 100% profit = 1260 / 40 × 100 = 3150

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Filed Under: Partnership
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2 6166
Q:

The true discount on a bill due 9 months hence at 12% per annum is Rs 540. Find the amount of the bill and its present worth?

A) 1600 B) 7000
C) 6000 D) 6500
 
Answer & Explanation Answer: C) 6000

Explanation:

Let amount be Rs.x then,  

 [X * R * T] / [100 + (R * T)] = T.D  

=> [x * 12 * (3/4)] / [100+(12 * 3/4)] =540  

=> x = 6540  

Amount = Rs.6540   

P.W = Rs.(6540 -540) = Rs.6000

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Filed Under: True Discount

0 6166
Q:

In a daily morning walk three persons step off together. their steps measure 75 cm, 80 cm and 85 cm respectively. What is the minimum distance each should walk so that thay can cover the distance in complete steps  ?

A) 222 m 44 cm B) 204 m
C) 201 m 21 cm D) 208 m
 
Answer & Explanation Answer: B) 204 m

Explanation:

To find the minimum distance, we have to get the LCM of 75, 80, 85

Now, LCM of 75, 80, 85 = 5 x 15 x 16 x 17 = 20400

Hence, the minimum distance each should walk so that thay can cover the distance in complete steps = 20400 cms = 20400/100 = 204 mts.

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Filed Under: Time and Distance
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11 6162