Quant Quiz - DI

Q1. Mr. X in Bombay sells a Laptop for Rs. 28,000 to Mr. Y at a loss of 30% who in turn sells it to Mr. Z at a profit of 20%. At what price Mr. Z purchased the Laptop?
1. Rs. 48,000
2. Rs. 26,880
3. Rs. 33,600
4. Rs. 29,120
5. None of these

Q2. The difference between simple interest and compound interest at the end of second year is Rs.8. If the rate of interest is 5% per annum, then the principal is
1. Rs. 3,100
2. Rs. 3,200
3. Rs. 3,300
4. Rs. 3,400
5. Rs. 3,600

Q3. The ratio between the present ages of Ram and Rahim is 3 : 2 respectively. Also, the ratio between the present ages of Rahim and Aman is 5 : 2 respectively. What is the ratio between the present ages of Ram and Aman respectively?
1. 4 : 15
2. 15 : 4
3. 12 : 5
4. 9 : 5
5. None of these

Q4. In how many different ways can a letter ‘SOME’ be arranged?
1. 20
2. 24
3. 16
4. 30
5. None of these

Q5. Rakesh purchased a mobile phone of Rs. 5,400 and a refrigerator of Rs. 9,600. He sold the mobile phone at three-fourths of its cost price and the refrigerator at 4/3of its cost price. What was the profit/loss?
1. Rs. 1,850
2. Rs. 1,580
3. Rs. 1,750
4. Rs. 1,870
5. None of these

Directions (Q6 – Q10): The following pie-charts show the percentage distribution of the total students passed from six different colleges. The second pie-chart shows the percentage distribution of the total girls passed from six different colleges. The total number of passed students is 7.5 thousand and 40% of them are girls.

(Click here to Load Pie Chart)

Q6. In which of the following colleges is the ratio of the number of passed boys to the number of passed girls 1:1?
(1) A 
(2) B 
(3) C 
(4) D 
(5) E

Q7. In which of the following colleges is the number of passed girl students more than the number of passed boy students?
(1) B 
(2) C 
(3) D 
(4) E 
(5) F

Q8. In which of the following colleges the difference between the number of passed boy students and the number of passed girl students is the maximum?
(1) B 
(2) C 
(3) D 
(4) E 
(5) F

Q9. The boy students who passed from College E is approximately what per cent of the girl students passed from College C?
(1) 165% 
(2) 185% 
(3) 205% 
(4) 235% 
(5) 275%

Q10. The number of boys who passed from College B is approximately what per cent more or less than the number of girls who passed from the same college?
(1) 67% 
(2) 72% 
(3) 81% 
(4) 87% 
(5) 92%

Solutions:

Q1. 3)
Price at which Mr. Z purchased the Laptop = 28,000 × 1.2 = Rs. 33,600.

Q2. 2)
The difference between SI and CI at the end of second year is given as:
CI2 – SI2 = PR2/100²
=> 8 = P * (5)²/100²
=> P = Rs. 3,200

Q3. 2)
Ratio of Ram and Rahim = 3 : 2
Ratio of Rahim and Aman = 5 : 2
Ratio of Ram, Rahim and Aman = 15 : 10 : 4

Q4. 2)
Required ways = 4! = 24

Q5. 1)
Total CP = Rs. 5400 + 9600 = Rs. 15000
Total SP = Rs. 4050 + 12800 = Rs. 16850
Profit = Rs. 1850

Q6 – (1)
Total no. of students in Clg A = 7500 * 16/100 = 1200
Number of girls in Clg A = 3000 * 20/100 = 600
So, Number of boy students in Clg A = 1200 – 600 = 600
Required Ratio = 1 : 1

Q7 – (3)
Total number of students in Clg D = 7500 * 17/100 = 1275
Number of girl students in Clg D = 3000 * 22/100 = 660 
Number of boy student in Clg D = 1275 – 660 = 615

Q8 –  (5)
Total number of students in Clg F = 7500 * 24/100 = 1800
Number of girl students in Clg F = 3000 * 18/100 = 540
Number of boy students in Clg F = 1800 – 540 = 1260
Difference = 1260 – 540 = 720 which is maximum

Q9 – (4) 
number of boy students in Clg E = 7500 * 15/100 – 3000 * 14/100 = 1125 – 420 = 705 
Number of girl students in Clg C = 3000 * 10/100 = 300
Req % = 705/300 * 100 = 235%

Q10 – (3) 
Total number of students in Clg B = 7500 * 18/100 = 1350
Number of girl students in Clg B = 3000 * 16/100 = 480
Number of bou students in Clg B = 1350 – 480 = 870 
Req % = (870-480)/480 * 100 = 39000/480 = 81.25 ≈ 81%