No. 32.
605
ALGEBRA.
CLASSES 1A & IB.
1. If a is the first term and is the common ratio of a terms in Geo-
metrical Progression show that the sum of the terms =
2. Prove that a° = 1.
3. Simplify -
4. Solve the following equation
4
"
·
✓ a
Ů
• a - Z
a
**
b
14
+
#
#
a(r” — 1)
5. A man having a certain sum of money, borrowed from a friend an equal sum and gambled with the total and lost $6. He then borrowed a sum equal to what he had left and again gambled and lost $6. He then borrowed again a sun equal to what he had left and gambling again lost $6 and found he had nothing left. What amount of his own money did he begin with?
.6. Simplify :--
G
α
-)
- ņ
#t
It a
+ a Note:Only five questions to be answered.
No. 33.
ALGEBRA,
CLASS II.
1. Solve the following equation:
7 ( 3a −6) + 3 (a
2. Divide a1 ( a + 2b) + Tab⋆
3) : 11 4(13
3
2
-
b 3 (4a 2 + 5b 2) by a2 .
ab + b2.
3. At what time between 3 and 4 o'clock will the minute hand be exactly over the hour hand.
4. Find the H.C.F. of the following expressions
2
4
a a (u + 1 ) 3 ( a + 1 ) a and a3 ( « + 2 ) + ( a − 1 ) 3.
5. Find the L.C.M. of: -
a2 + 7α + 6 and a2 + Sa + 12.
No. 34.
ALGEBRA.
CLASS III.
1. Simplify the following expression :-
82
(3c — a)
[6a — 38 — {5e + (3a
b = c)}]
2. If a
-
2,
b
3 and
4 find the value of
纽
-
(b + 3c)],
3. Divide
J
a2 + b2 c2
-
2ab+2rd by a -
b+c
d.
2 [b + 3 {c — 2a − (a − b) } + 2a
4. Show that the index of the product of two numbers which are powers of the same quantity, is the sum of their indices.
5. Find the sum of the following expression and arrange it according to descending powers of r with the coefficients of the like powers of grouped in brackets:-
x2-- bx + c,
b.x2
www.
ex + a,
•
and cx2
―
ax + b.
No. 35.
ALGEBRA.
CLASS IV.
1. What are meant by the following expressions :-
(1.) a + 2b + 3a + 5c.
(2.) 2a + 4b · 4a + 2c-3d.
and if a = 3, & 4, c 5, and d = 2, what will be the value of each expression?
2. Simplify the following expression :----
9a
—
(64—3c) — [2a−3b−2c—(4b+5c)].
3. Find the sum of the following expressions :-
c + d and ja
} - Je + fd.
-(a + b)
-
- c + d) and (a
b + c − d).
-
4. Find the difference between :—