Quant Quiz

Direction (1-7): Study the following charts carefully and answer the questions given below:

1. What is the respective ratio of number of Men from city D to number of Women from city E ?

1) 7203 : 1479 

2) 27 : 37 

3) 8908 : 4131 

4) 91 : 79 

5) None of these

2. Which city has the lowest number of Men ?

1) A 

2) E 

3) B 

4) C 

5) None of these

3. Total number of people from city C is approximately what percent of the total number of people all cities together ?

1) 19 

2) 23 

3) 26 

4) 14 

5) None of these

4. Number of Children from city F is what percent of those from city B ? (Rounded off to two digits after decimal)

1) 109.92 

2) 111.47 

3) 98.52 

4) 132.71 

5) 93.47

5. What is the average number of Men from all the cities together ?

1) 20357 (1/6)

2) 19617 (2/3)

3) 20317 (1/3)

4) 21445 (2/7)

5) None of these

6. Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes ?

1) 1 : 3 

2) 7 : 9 

3) 3 : 7 

4) 2 : 3 

5) None of these

7. The outer circumference of a circular track is 220 m. The track is 7 m wide everywhere. Calculate the cost of levelling the track at the rate of 50 paisa/square meter ?

1) Rs. 1925 

2) Rs. 1293 

3) Rs. 673 

4) Rs. 793 

5) None of these

8. Ram's project report consists of 25 pages each of 60 lines with 75 characters on each line. In case the number of lines is reduced to 55 but the number of character is increased to 90 per lines. What is the percentage change in the number of pages? (Assume the number of pages to be a whole number.)

1) – 12% 

2) – 8% 

3) + 12% 

4) + 8% 

5) None of these

9. A, B, C enter into a partnership with share in the ratio 7/2: 4/3: 6/5. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 43200, then C's share in the profit is 

1) Rs. 4200 

2) Rs. 3686 

3) Rs. 7200 

4) Rs. 8640 

5) None of these

10. A can do a piece of work in 16 days. He works at it for 4 days and then B finishes it in 10 more days. In how many days will A and B together finish the work ?

1) 7 (1/12) days

2) 11 (2/3) days

3) 7 (3/11) days

4) 9 (3/7) days

5) None of these

ANSWERS
1. 3;

Req. ratio = (65.50 * 34)/100 : (38.25 * 27)/100
= 222700 :103275
= 8908 : 4131

2. 3;

No. of men in city A = (44.35/100 * 42) thousands
= (44.35 * 42)/100 thousands
= 18627
No. of men in city B = (35.40 * 38)/100 thousands = 13452
No. of men in city C = (52.10 * 52)/100thousands = 27092
No. of men in city D = (65.50 * 34)/100 thousands = 22270
No. of men in city E = (38.25 * 50)/100 thousands = 19125
No. of men in city F = (45.50 * 47)/100 thousands = 21338

3. 1;
Req. % = (52.10 * 100)/ (44.35 35.40 52.10 65.50 38.25 45.40)
= 18.5409 = 19 % (approx)

4. 1;
Req. % = {(45.40 * 24)/100 * 100}/ {(35.40 * 28)/100} = 109.92%

5. 3;
Req. average
= 1/6 {(44.35*42)/100 + (35.40*38)/100 + (52.10*52)/100 + (65.50*34)/100 + (38.25*50)/100 + (45.40*47)/100}
1/(6*100) (12190.4) thousand = 20317(1/3) thousands

6. 2;
Let side of the cube = x units
Total surface area of three cubes = 3 × 6 x^2 = 18 x^2
Total surface area of cuboid = 2 (lb + bh + lh)
= 2 ( x × 3x + 3x × x + x × x)
Req. ratio = 14 x^2/ 18 x^2
= 7 : 9

7. 5;
Let outer radius = R
Inner radius = r = R – 7
2 * 22/7 *r  = 220
R = 220/(2*22) * 7 = 35m
r = 35 – 7 = 28 m.
Area of track = 22/7 (R^2 – r^2 )
= 22/7{(35)^2 – (28)^2} = 1386 m^2

Cost of levelling the track = Rs. (1386×0.50) = Rs. 693

8. 2;
Total characters in Ram’s project report = 25× 60 × 75
Let the new number of pages = x
Then,
n × 55 × 90 = 25 × 60 × 75 = n = 22.72
This means Ram’s report would require 23 pages
Req. % drop = (23 - 25)/25 * 100 = –8%

9. 3;
Given ratio = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Ratio of investments (i.e. ratio of profit) =
[105 × 4 + (150 % of 105) × 8] : (40 × 12) : 36 × 12
= 1680 : 480 : 432 = 35 : 10 : 9
B’s share in the profit
= 9/(35 + 10 + 9) * 43200 = 9/54 * 43200 = Rs. 7200

10. 3;
Efficiency of A = 1/16 work/day

In 4 days ‘A’ can complete 1/16 * 4 = 1/4 work

Remaining work = 1 - 1/4 = 3/4 work

B complete 3/4 work in 10 days.
B complete 1 work in 40/3 days
A and B together finish the work in
= 1/ (1/16 + 3/40) = 80/11 = 7(3/11) days