Sessional_Paper_1907 — Page 1066

No. 28.

1. Find the factors of:

670

ALGEBRA.

CLASS I A.

(1) 9252xy + 35y2

(2) 3a2 + 112 + 7

(3) 4a2h2 — (u2 + b2 + e2)2

2. Solve the equations

2

y

(1)

+

a

b

b

C

تہ

(2)

2

+

= 1.

16

b

=

+ 7

a

3. A number of 3 digits is decreased by 99 if the digits be reversed; the sum of the digits is 15; and, if the number be divided by 10 the quotient is 12 times the remainder. Find the number.

4.

(1) Prove that ao = 1,

(2) Reduce to its simplest form

am + {"

+6-

(3) Find the square root of :-

12

J

✓ 80

Em

5. (1) Find the sum of terms of an Arithmetical Progression whose 1st term is a and whose common difference is d.

(2) What is the 10th term of the series

1 1 2

?

3 6 3

(3) Find an Arithmetical Progression whose 1st term is 1

and such that its 1st, 2nd and 6th terms are in G. P.

6. A person buys eggs for 15s. and retails them for 15d. a dozen. thereby gaining the cost of 189 eggs; how many did she buy?

No. 29.

1. Find the factors of :-

ALGEBRA.

CLASS I B.

(1) v2 + ¿ (2) 9x2 (3), 1

—

30.

52 xy + 35y2.

9a".

2. The H. C. F. of 2 expressions is (c-7), and their L. C. M. is 10e2 + 11æ + 70. One of the expressions is 2 5- 14. Find the other.

is as

3. Simplify :---

1

e ( x + 1)

2.7 3

1

a(+1) (+2) it (i + 2)

4. A boy starts from home and walks to school at the rate of 11 yards in 9 seconds and is one minute late. If he had walked at the rate of 22 yards in 15 seconds he would have been half a minute too

Find the distance to the school.

soon.

5. Solve the equations :--

(1)

+ =

// +

a

k

رقم

(2)

a

—

ос

८८

J.