Night Class: Quant Quiz

Directions (Q. 1-5): The following graph shows the export and Import (in lacs) of Company P through 2006-10.

Ratio of Export and Import of Company P and Q (P : Q) through these years is as follows:

1. Export of ‘Q’ in 2006 is how much percentage more or less than export of P in 2006.
1) 60.34%
2) 64.66%
3) 66.66%
4) 67.85%
5) 70%

2. Average import of ‘Q’ is how much percentage more or less than average export of ‘Q’.
1) 26.9% more
2) 34.2% less
3) 24.7% less
4) 22.7% more
5) Both are equal

3. What is the difference between total import of company Q and total export of Company P?
1) 32 units
2) 30 units
3) 28 units
4) 40 units
5) 25 units

4. What is the difference between export of Q in 2009 and import of P in 2008?
1) 10 units
2) 11 units
3) 12 units
4) 13 units
5) 9 units

5. Import of Q in 2008 is how much percentage more or less then the export of ‘P’ in 2009?
1) 50%
2) 40%
3) 70%
4) 65%
5) 60%

6. A started a bussiness with a sum of Rs. 14000. After 4 months, B entered with an amount of Rs. 12000 and A added another 2,000 in the business. After 6 months, C entered with Rs. 20000 and ‘B’ withdrew Rs. 2000 from the business. What will be C’s share of profit out of a total profit of Rs. 94000 at the end of 2 years.
1) Rs. 376000
2) Rs. 204000
3) Rs. 36000
4) Rs. 18000
5) Rs. 260000

7. The top of a 15 m. high tower makes an angle of elevation of 60 degree with the bottom of an electric pole and an angle of 30 degree with the top of the pole. What is the height of the pole?
1) 12 m.
2) 10 m.
3) 11 m.
4) 5 m.
5) 15 m.

8. The product of ages of Harshit and Haritika is 240. If Hritika would have been twice her age she will be 4 years elder to Harshit. What is Haritika’s age now?
1) 16 yrs
2) 24 years
3) 12 years
4) 10 years
5) 15 years

9. A rectangular plot has an area of 96 m2. A 2 m. broad pathway is constructed around it and the new plot has to be
carpeted. The cost of putting carpet is Rs. 42 per square m. what will be the total cost involved in carpetting?
1) Rs. 4032
2) Rs. 4200
3) Rs. 4300
4) Data inadequate
5) None of these

10. If a car travels a distance of 300 km in 8 hours, partly at a speed of 40 kmh-1 and partly at 30 kmh-1, what is the distance it travelled at the speed of 40 kmh-1?
1) 200 km
2) 210 km
3) 220 km
4) 240 km
5) None of these

Answers:

1. 3
2. 3
3. 2
4. 3
5. 5

6. 3

Share of profit = Amount invested × time
A = (14000 × 4) + (16000 × 20) = 376000
B = (12000 × 2) + (10000 × 18) = 204000
C = (2000 × 18) = 360000
Ratio of Share = 376 : 204 : 360

C’s share = 94000/940 * 360 = 36000

7. 2

15/b = tan 60
15/b = v3
b = 15/v3

P/b = tan 30
P = 5

So, height of pole = 15 – 5 =10 m

8. 3

K * H = 240
K = 240/H

Also, 2k = H + 4
2 (240/H) = H + 4
H = 20

K = 240/20 = 12

9. 4

10. 4

Let the distance travelled at 40 kmh-1 = x km
? distance travelled at 30 kmh-1 = 300 – x

300/8 = 300/(x/40) + (300-x)/30
x = 240