problem solving

Linear Equations

1. A man is now 26 years older than his son. Three years hence he will be three times as old as his son. What are their present ages?

Ten years ago a father was seven times as old as his son, two years hence twice his age will be equal to five times his son’s age. What are their present ages?

Ten years ago a father was seven times as old as his son, two years hence twice his age will be equal to five times his son’s age. What are their present ages?

a. 38,14

b. 40,20

c. 52,26

d. 50,25

e. None of these

Some students planned a picnic. The budget for food was Rs 500. But, 5 of them failed to go and thus

the cost of food for each member increased by Rs 5. How many students attended the picnic?

(a) 15 (b) 25 (c) 20 (d) 30 (e) 45

A labourer is paid Rs. 8 per hour for an 8 hour day and 1.5 times that rate for each hour in excess of 8 hours in a single day. If the labourer received Rs. 80 for a single day's work, how long did he work on that day?

(a) 6 hrs 40 min (b) 9 hrs 20 min (c) 9 hrs 30 min (d) 9 hrs 40 min (e) 10 hrs

How many minutes will it take to completely fill a water tank with a capacity of 3750 litres if the water is

being pumped into the tank at the rate of 800 litres per minute and is being drained out of the tank at

the rate of 300 litres per minute?

(a) 3 min 36 sec (b) 6 minutes (c) 7 min 30 sec (d) 8 minutes (e) 1875 minutes

A corporation declared an annual dividend of 6%. Ram owns 325 shares(par value Rs.75). How much dividend does he receive?

a.1462.50

b.562.50

c.872

d.670

e.None of these

2. There are 45 coins comprising 5 and 10 paisa coins. The value of all the coins is Rs.3.5. How many five paisa coins are there?

3. 3 Chairs and 2 tables cost Rs.700 and 5 chairs and 3 tables cost Rs.1100. What is the cost of 1 chair and 2 tables?

4. Solve for x and y:

20 + 2 = 6, 24 - 6 = 3

x+y x-y x+y x-y

If x is 25% more than Y then what percent is y less than x?

If B is 20% more than A, hen A is less by what %?

Formula(Geometry)Triangle

Area = ½ *b*h or (a+b+c)/2

Area of an equilateral triangle = √3/4 * a^2

Rectangle Area = length * breadth

Perimeter = 2 (l+b)

Diagonal = √l^2+b^2

Square Perimeter =4a

Area = a*a

Diagonal = √2 * a

Circle Area = πr^2

Circumference =2 π r

Area of the ring or circular path= π(R+r) (R-r)

Area of the sector = ½ * r * arc sq units

The area of the room is 2970 sq mts. If its length is 66 meters find its breadth

a,.35 m

b. 45 m

c. 55 m

d. 58 m

e. None

A room is 8 mts long and 4 mts wide. How many paving stones each measuring 2.5 dm by 2 dm are required to pave its floor?

A. 600

B. 620

C. 630

D. 640

E. none

Find the cost of carpeting a square room of side 8 mtswith carpet at the rate of Rs.44 per sq m

a. 2650

b. 2752

c. 2816

d. 2736

e. None

The radius of a circle is 5mts. What is the radius of another circle whose area is 25 times that of te first?

a. 20 m

b. 25 m

c. 30 m

d. 35 m

e. None

The diameter of a circle is 3 √2. The side of a square inscribed in it is

a. 2

b. 3

c. 4

d. 6

e. 5

Squares of equal dimensions are drawn in a rectangular block of diagonal 5 mts. If they are arranged in 3 rows of 4 squares each, then area of each square will be

a. 12 sq.m

b. 1 sq m

c. 2 sq m

d. 4 sq m

e. 8 sq m

If m, n, o and p are real numbers, each of the following expressions equals m(nop) EXCEPT

(a) (op)(mn) (b) ponm (c) p(onm) (d) (mp)(no) (e) (mn) (mo)(mp)

John has more money than Sam but less than Bill. If the amount held by John, Sam and Bill are x, y and z respectively, which of the following is true?

(a) z < x < y (b) x < z < y (c) y < x < z (d) y < z < x (e) x < y < z

Simple Interest and Compound Interest SI = PNR/100

CI= P (1 + RT/100)^n-P

A computer is available for Rs 39,000 cash or Rs 17,000 as cash down payment followed by five monthly installments of Rs 4,800 each. What is the rate of interest under the installment plan?

(a) 35.71% p.a (b) 37.71% p.a (c) 36.71% p.a (d) 38.71% p.a(e) 45.71% p.a

What is the largest number which when divides 2274,2061 and 1054 leaves remainder 6,3 and 4 reSpectively.

a) 6

b) 14

c) 42

d) 60

e) 21

Divide Rs.760 among 4 men, 3 women and 5 children so that each man may have double the share of a woman and each woman may have three times the share of a child. What is the share of woman?

a) 50

b) 40

c) 45

d) 60

e) 30

At a meeting , 5 friends decide to buy a plaque for the club that will cost ‘d ‘ rupees. One person decides not to participate in the plan. The increase in amount to each of the our remaining people is

d/3

d/20

2d

d-5/2

d/5

If Sasi has Rs. 5 more than Tarun and if Tarun has Rs. 2 more than Eswar, which of the following exchanges will ensure that each of the three has an equal amount of money?

(a) Sasi must give Eswar Rs. 3 and Tarun Rs. 1

(b) Tarun must give Sasi Rs. 4 and Sasi must give Eswar Rs. 5

(c) Eswar must give Sasi Rs. 1 and Sasi must give Tarun Ra. 1.

(d) Sasi must give Eswar Rs. 4 and Tarun must give Eswar Rs. 5

(e) Either Sasi or Eswar must give Tarun Rs. 7.

RatiosThe sum of squares of three numbers which are in the

ratio of 2:3:4 is 725. The three numbers are

a. 11,14,19

b. 9,16,21

c. 10,15,20

d. 8,12,25

e. None

The ratio of x to y is ½. If the ratio of x+2 to y+1 is 2/3, then what is the value of x?

a. 6

b. 4

c. 3

d. 2

e. 1