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Question 1 of 15

1. Question

1 points

Category: Quantitative Aptitude

Two mixtures contain milk and water. Mixture A contains milk and water in ratio 5 : 3 and mixture B contains milk and water in the ratio 4 : 1. What weight of mixture A must be mixed with mixture B so as to form a total of 14 litres of mixture C containing 75% milk?

Correct

Explanation:
75/100 = 3/4
Milk in first = 5/(5+3) = 5/8, milk in second = 4/(4+1) = 4/5
By method of allegation:
5/8………………. 4/5
. 3/4
4/5 – 3/4 3/4 – 5/8
1/20 : 1/8
8 : 20 = 2 : 5
So in mixture C, mixture A is [2/(2+5)] * 14 = 4 litres

Incorrect

Explanation:
75/100 = 3/4
Milk in first = 5/(5+3) = 5/8, milk in second = 4/(4+1) = 4/5
By method of allegation:
5/8………………. 4/5
. 3/4
4/5 – 3/4 3/4 – 5/8
1/20 : 1/8
8 : 20 = 2 : 5
So in mixture C, mixture A is [2/(2+5)] * 14 = 4 litres

Question 2 of 15

2. Question

1 points

Category: Quantitative Aptitude

In a school, the ratio of the number of students to teachers is 20 : 1. 60% of the students and 20% of the teachers come by bus to school. What is the percentage of teachers and students together who do not come by bus?

Correct

Explanation:
Total students + teachers = 20x+1x = 21x
Total who come by bus = (60/100)*20x + (20/100)*x = 1220x/100 = 122x/10
So total who do not come by bus = 21x – 122x/10 = 88x/10
So % of total who do not come by bus = [(88x/10)/21x] * 100 = 880/21

Incorrect

Explanation:
Total students + teachers = 20x+1x = 21x
Total who come by bus = (60/100)*20x + (20/100)*x = 1220x/100 = 122x/10
So total who do not come by bus = 21x – 122x/10 = 88x/10
So % of total who do not come by bus = [(88x/10)/21x] * 100 = 880/21

Question 3 of 15

3. Question

1 points

Category: Quantitative Aptitude

How many 3 digits numbers are there which have digit 0 in the middle?

Correct

Explanation:
For a number to be 3 digit, 1st digit should be from 1 to 9, so 9 choices for 1st digit.
For 2nd digit, only one choice 0.
For 3rd digit, since it is not mentioned that repetition is allowed or not, we will allow repetition, so there are 10 choices for 3rd digit from 0 to 9.
So total = 9*1*10 = 90 numbers

Incorrect

Explanation:
For a number to be 3 digit, 1st digit should be from 1 to 9, so 9 choices for 1st digit.
For 2nd digit, only one choice 0.
For 3rd digit, since it is not mentioned that repetition is allowed or not, we will allow repetition, so there are 10 choices for 3rd digit from 0 to 9.
So total = 9*1*10 = 90 numbers

Question 4 of 15

4. Question

1 points

Category: Quantitative Aptitude

A rectangular sheet is to be made with sides in the ratio 5 : 6 from a circular wire by bending it. If the diameter of the wire is 84 cm, what is the smallest side of the rectangular sheet?

Correct

Explanation:
Length of wire = 2ᴨr = 2(22/7)*42 = 264 cm
Perimeter of rectangle = 2(5x+6x)
So 2(5x+6x) = 264
Solve, x = 12
So smallest side = 5x = 60

Incorrect

Explanation:
Length of wire = 2ᴨr = 2(22/7)*42 = 264 cm
Perimeter of rectangle = 2(5x+6x)
So 2(5x+6x) = 264
Solve, x = 12
So smallest side = 5x = 60

Question 5 of 15

5. Question

1 points

Category: Quantitative Aptitude

A and B invested Rs 5000 and Rs x in a business respectively. After 8 months, A withdrew Rs 2000 while B added Rs 2000 to their investments. What is the value of x if after a year out of a total profit of Rs 15,300, B received his share as Rs 7500?

Correct

Explanation:
5000*8 + 3000*4 : x*8 +(x+2000)*4
Take 4 common n cancel, so
5000*2 + 3000 : 2x + x+2000
13,000 : 3x+2000
So B’s share:
[(3x+2000)/(13,000+3x+2000)] * 15,300 = 7500
(3x+2000)*51 = (3x+15,000)*25
Solve, x = 3500

Incorrect

Explanation:
5000*8 + 3000*4 : x*8 +(x+2000)*4
Take 4 common n cancel, so
5000*2 + 3000 : 2x + x+2000
13,000 : 3x+2000
So B’s share:
[(3x+2000)/(13,000+3x+2000)] * 15,300 = 7500
(3x+2000)*51 = (3x+15,000)*25
Solve, x = 3500

Question 6 of 15

6. Question

1 points

Category: Quantitative Aptitude

Directions (6 – 10): What will come in place of ? in the following questions to complete the series

12, 24, 24, 16, 32, 12.8, ?

Correct

Explanation:
÷0.5, *1, ÷1.5, *2, ÷2.5, *3,

Incorrect

Explanation:
÷0.5, *1, ÷1.5, *2, ÷2.5, *3,

Question 7 of 15

7. Question

1 points

Category: Quantitative Aptitude

Directions (6 – 10): What will come in place of ? in the following questions to complete the series