**Find solutions for all the questions at the end of each set:**

### Set A

1.The square root of a positive number less than 100 lies between:

(1)0 and 1000

(2)0 and 10

(3)-10 and 10

(4)-100 and 100

2.One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?

(1)2/5

(2)2/3

(3)1/3

(4)1/6

3.The LCM of two numbers is 864 and their HCF is 144. If one of the numbers is 288, the other number is:

(1)576

(2)1296

(3)432

(4)144

4.A boys was asked to find the value of 3/8 of a sum of money. Instead of multiplying the sum by 3/8 he divided it by 3/8 and then his answer exceeded by Rs. 55. Find the correct answer?

(1)Rs. 9

(2)Rs. 24

(3)Rs. 64

(4)Rs. 1,320

5.The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is:

(1)46

(2)48

(3)50

(4)56

6.Sum of two numbers is 40 and their product is 375. What will be the sum of their reciprocals?

(1)8/75

(2)1/40

(3)75/8

(4)75/4

7.In a town, the population was 8000. In one year, male population increased by 10% and female population increased by 8% but the total population increased by 9%. The number of males in the town was:

(1)4000

(2)4500

(3)5000

(4)6000

8.Price of sugar rises by 20%. By how much percent should the consumption of sugar be reduced so that the expenditure does not change?

(1)20

(2)10

(3)16 (2/3)

(4)15

9.Applied to a bill for Rs. 1,00,000 the difference between a discount of 40% and two successive discounts of 36% and 4% is:

(1)Nil

(2)Rs. 1,440

(3)Rs. 2,500

(4)Rs. 4,000

10.A tradesman marks his goods 10% above his cost price. If he allows his customers 10% discount on the marked price, how much profit or loss does he make, if any?

(1)1% gain

(2)1% loss

(3)5% gain

(4)No gain, no loss

Answers and Solution :

1.(3)

Since the numbers between -10 and 10 will be single digit and the numbers below 100 will be either one digit or two digit we know that the square root of one or two digit number is always single digit number. There fore required answers is (3)

2.(3)

3.(3)

Required number = (864*144)/288 = 432

4.(2) Let amount be Rs.x

so According to question,

8/3x – 3/8x = 55

x = Rs.24

5.(3)

L.C.M. of 4, 6, 8, 12, and 16 = 48

So Required number = 48+2 = 50

6.(1)

7.(1)

Men Women

10% 8%

9

1% 1%

So Men : Women = 1 : 1

So Number of men = 1/2 * 8000 = 4000

8.(3)

9.(2)

10.(2)

**Find solutions for all the questions at the end of each set:**

### Set B

1. Mohan invested a certain sum in a simple interest bond whose value grew to Rs. 300 at the end of 3 yr and to Rs. 400 at the end of another 5 yr. The rate of interest was

(a) 12%

(b) 12.5%

(c) 8.33%

(d) 6.67%

2. Suman lent some money to Rohan at 6% p.a. simple interest. Rohan lent the entire amount to Mira on the same day at 8.5 % p.a. In this transaction Rohan earned a profit of Rs. 250. Find the sum lent by Suman to Rohan.

(a) Rs. 7500

(b) Rs. 12500

(c) Rs. 10000

(d) Rs. 8000

3. On retirement, a person gets 1.53 lakhs of his provident find which he invests in a scheme at 20% p.a. His monthly income from this scheme will be

(a) Rs. 2,450

(b) Rs. 2,500

(c) Rs. 2, 550

(d) Rs. 2,600

4.If Rs. 450 amount to Rs. 540 in 4 years, what will it amount to in 6 years at the same rate %?

(a) Rs. 600

(b) Rs. 585

(c) Rs. 700

(d) Rs. 640

5.In what time will Rs. 64,000 invested at 5% p.a. fetch an interest of Rs. 4,921, the interest being compounded half yearly.

(a) 2/3 years

(b) 4/5 years.

(c) 2 years

(d) 3/2 years

6.The population of a city two years ago was 1,25,000. Due to migration from cities, it decreases every year at the rate of 4% per annum. Find its present population. How many person have migrated in last two years?

(a) Rs. 7,500

(b) Rs. 9,800

(c) Rs. 5,600

(d) Rs. 2,600

7.The population of a town in the year 2001 was 4 lakhs. Due to migration from cities, it decreases every year at the rate of 40 per thousand. Find the population of the town in lakhs during 2003.

(a) 4.41

(b) 4.21

(c) 4.84

(d) 3.68

8.A sum of money at compound interest amounts to thrice itself in three years. In how many years will it be nine times itself?

(a) 18

(b) 12

(c) 6

(d) Data Insufficient

9.The difference between simple and compound interest on a certain sum of money for 3 years at 5 per cent per annum is Rs. 325. The sum of money is :

(1) Rs. 42623

(2) Rs. 46255

(3) Rs. 43260

(4) Rs. 35990

10.The difference between simple and compound interest on a certain sum of money for 2 years at 4 per cent per annum is Rs. 12. The sum of money is :

(1) Rs. 7600

(2) Rs. 7625

(3) Rs. 7500

(4) Rs. 7650

Answers and Solution:

1.(c)

(Pr*3)/100 +P = 300…….(1)

(Pr*8)/100 +P = 400…….(2)

subtract (1) from (2)

p*r = 2000 ………..(3)

put (3) in (1)

p = 240, then r = 8.33%

2.(c)

3.(c)

Use, SI = PRT/100 = (153000*20)/100*1/12 = Rs. 2550

4.(b)

SI per year = (540-450)/4 = 22.5

so after 6 year = 22.5 x 6 = 135

So Amount 450+135 = Rs.585

5.(d)

6.(b)

Population 2 year ago = 125000 = p

for two years,rate of decrease = 4% p.a.

population after 2 year = present population = p(1-R/100)^2

Present population = 125000(1-4/100)^2

= 115200

So number of persons migrated during last 2 years= 125000-115200 = 9800

7.(d)

8.(c)

9.(a)

Difference of CI and SI for 3 years = pr^2(300+r)/(100)^3

325 = (p*25*305)/1000000

so p = 42623

10.(3)

Difference of CI and SI for 2 years = pr^2/(100)^2

12 = (p*16)/10000

so p = 7500