Q1. The length and breadth of a plot are 35 m and 16 m respectively. If the rate of fencing is Rs. 7 per metre, what is cost of its fencing around the perimeter?

(a) Rs. 3920
(b) Rs. 602
(c) Rs. 714
(d) Rs. 357

(e) none of these

Q2. P and Q started a business by investing Rs. 45,000 and Rs. 54,000 respectively. After four months R joined the business with a capital of Rs. 30,000. After two more months Q left the business with his capital. At the end of the year P got a share of Rs. 13,500 in the profit. What is the total profit earned?

(a) Rs 26800
(b) Rs 27600
(c) Rs 28600
(d) Rs 29200
(e) none of these

Q3. A person invests money in 3 different schemes for 6 years, 10 years and 12 years at 10%, 12% and 15% simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investments is

(a) 2:3:5
(b) 2:5:6
(c) 6:5:2
(d) 6:5:3
(e) None of these

Q4. In a class the average age of 40 students is 15 years. If 10 new students include then the average age of students increase by 0.2, find the average age (in years) of new students.

(a) 16 yr
(b) 20 yr
(c) 17 yr
(d) 19 yr
(e) 18 yr

Q5. Cost price of article A is double then that of article B and shopkeeper mark up both the article 20% more than the cost price. If at the time of sale shopkeeper gave Rs. 9 discount and earn 17% profit on total. Find the cost price of article A?

(a) 100
(b) 200
(c) 150
(d) 250
(e) 50

Q6. A train is moving at a speed at a speed of 132 km/hour. If the length of the train is 110 metres, how long will it take to cross a railway platform 165 metres long?

(a) 5 second
(b) 7.5 second
(c) 10 second
(d) 15 second
(e)  20 second

Q7. The length of rectangular floor is twice its breadth. If Rs 256 is required to paint the floor at the rate Rs 2 per sq m, then what would be the length of floor?

(a) 16 m
(b) 8 m
(c) 12 m
(d) 32 m
(e) 20 m

Q8. A person draws a card from a pack of 52, replaces it and shuffles it. He continues doing it unit he draws a heart. What is the probability that he has to make 3 trials?

A. 9/64
B. 3/64
C. 5/64
D. 1/64
E. None of these

Q9. In the town of Andher Nagari Chaupat Raja, shopkeepers have to buy and sell goods in the range of Rs. 500 to Rs. 999. A shopkeeper in such a town decides not to buy or sell goods for amounts that contain the digit 9 or for amounts that add up to 13 or are a multiple of 13. What is the maximum possible profit he can earn?

A. Rs. 388
B. Rs. 389
C. Rs. 488
D. Rs. 368
E. None of these

Q10. A dishonest shopkeeper, at the time of selling and purchasing, weighs 10% less and 20% more per kilogram respectively. Find the percentage profit earned by treachery. (Assuming he sells at Cost Price)

A. 30%
B. 20%
C. 25%
D. 33.33%
E. None of these

Solution:

Q1. SOL:   C

Perimeter of plot =2( l+𝑏)=2(35+16)=102 m
Total cost of fencing =7×102= Rs. 714

Q2. SOL:   B
P — 45000 × 12
Q — 54000 × 6
R — 30000 × 8
Ratio of their profit = 45 : 27 : 20
Total profit earned =92/45×13500 =27600

Q3.SOL:   E

(6×10%)of A = (10 × 12%) of B = (12 × 15%) of C
(A, B, C are the investments)
0.6 A = 1.2 B = 1.8 C
A:B:C: = 6:3:2

Q4. SOL:   A

Let average age of new students =𝑥yr.
15.20=40×15+10×𝑥40+10
15.20=600+10𝑥50
760=600+10𝑥
10𝑥=160
𝑥=16 yr.

Q5. SOL:  B

Let C.P. of A = 2x
C.P. of B = x
Total cost price = 3x Mark-up price=3x×1210 =3.6x
ATQ,
3.6x – 9 = 3x × 1.17
3.6x – 3.51x = 9
0.09x = 9
x = 100
C.P. of article A = 200

Q6. SOL :  B

(132 * 5)/18 = (100+165)/t
T = 275 * 18 / (132 * 5)
T = 7.5 second

Q7. SOL:   A
Area = 2x2
2x2 * 2 = 256 => x2 = 64 => x = 8
Required Length = 2 * 8 = 16 m

Q.8 SOL:   A

¾ * ¾ * ¼ = 9/64

Q.9 SOL:   A

The first number is 888 which neither contain 9 or multiple of 13.
So profit will be maximum at 888
Required profit = 888 – 500= 388

Q10. SOL:   D

-100                                                               +200
1000

Actual given to customer = 900