Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

A) 205 B) 194
C) 209 D) 159
 
Answer & Explanation Answer: C) 209

Explanation:

We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys).


Required number of ways = (C16× C34) + C26×C24  + (C36× C14) + (C46)  

= (24+90+80+15) 

= 209.

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Filed Under: Permutations and Combinations
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7 3857
Q:

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?

A) 15 B) 3
C) 9 D) 6
 
Answer & Explanation Answer: A) 15

Explanation:

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

 

Required, difference between the numbers = a + b = 9 + 6 = 15.

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Filed Under: Simplification
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7 3857
Q:

The bankers discount and true discount on a sum of money due 8 months hence are Rs.120 & Rs.110 resp. Find the sum.

A) 1457 B) 1320
C) 1140 D) 1260
 
Answer & Explanation Answer: B) 1320

Explanation:

Sum = (B.D * T.D) / (B.D) -(T.D)

= (120 * 110) / (120 -110)

= 1320

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Filed Under: Banker's Discount

2 3856
Q:

Assume that money can be invested at 8% compounded quarterly,which is larger,$2500 now or $3800 in 5 years?

A) 1557.29 B) 2557.29
C) 2567 D) 2457
 
Answer & Explanation Answer: B) 2557.29

Explanation:

First find the present value of $3800,then compare present values:

 

M  = p(1+i/4)^4n

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Filed Under: Compound Interest
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2 3846
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 3840
Q:

On retirement, a woman gets Rs. 1,45,440 of her provident fund which she invests in a scheme at 20% per annum. Her monthly income from this scheme will be

A) Rs. 2550 B) Rs. 2424
C) Rs. 2224 D) Rs. 2380
 
Answer & Explanation Answer: B) Rs. 2424

Explanation:

Now, the principal amount P = Rs. 1,45,440

Rate of interest R = 20%/annum

Now monthly income I = PTR/100 = 1,45,440 x 20 x 1/100 x 12

= 2908800/1200

= Rs. 2424.

 

Hence, her monthly income = Rs. 2424.

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Filed Under: Simple Interest
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4 3838
Q:

Three medians AD, BE and CF of ΔABC intersect at G; Area of ΔABC is 36 sq cm. Then the area of ΔCGE is

A) 12 sq cm B) 6 sq cm
C) 9 sq cm D) 18 sq cm
 
Answer & Explanation Answer: B) 6 sq cm

Explanation:
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Filed Under: Area
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3 3827
Q:

Sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?

A) 11 and 4 B) 3 and 11
C) 11 and 33 D) 40 and 4
 
Answer & Explanation Answer: C) 11 and 33

Explanation:

Let the smaller number be 'm'

Then, from the given data, the larger number is '3m'

Given that m + 3m = 44

=> 4m = 44

m = 44/4 = 11

=> m = 11

=> 3m = 3 x 11 = 33

 

Hence, the two numbers are 11 and 33.

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Filed Under: Problems on Numbers
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9 3826