Mathematics - Algebra
Exam Duration: 45 Mins Total Questions : 30
Write an equation for the statement 'thrice the length of a room is 340 metres
- (a)
3l = 430
- (b)
3l = 340
- (c)
3 + l = 340
- (d)
340 - 3 l
Choose a value of 'a' that satisfies the equation 6a = -30.
- (a)
5
- (b)
30
- (c)
-5
- (d)
10
What is the value of x if \(\frac { 3 }{ 4 } \)x+8 =17?
- (a)
-12
- (b)
36
- (c)
12
- (d)
-36
For what value of 'a' is 6(2a -1) + 8 = 14 true?
- (a)
-1
- (b)
3\(\frac { 1 }{ 2 } \)
- (c)
1\(\frac { 3 }{ 12 } \)
- (d)
1
A number is multiplied by 6 and 12 is added to the product.The result is 84. What is the number?
- (a)
-12
- (b)
72
- (c)
12
- (d)
-72
Find the length of a side of an equilateral triangular garden whose perimeter is 66 m.
- (a)
66 m
- (b)
11 m
- (c)
3 m
- (d)
22 m
In the given figure, what are the magnitudes of the angles shown?
- (a)
40o,135o
- (b)
45o,130o
- (c)
45o,135o
- (d)
180o
The length of a rectangle is twice its breadth. If its area is 72 sq.m, find the breadth of the rectangle.
- (a)
12 m
- (b)
24 m
- (c)
6 m
- (d)
72 m
If \(\frac { 2 }{ 3 } \)p-2\(\frac { 1 }{ 2 } \)=3\(\frac { 1 }{ 2 } \) what is the value of p?
- (a)
-9
- (b)
6
- (c)
9
- (d)
0
If half of a number is added to 18, the sum is 46. What is the number?
- (a)
92
- (b)
56
- (c)
65
- (d)
0
What is the algebraic expression for the statement "6 times 'a' taken away from 40"?
- (a)
6a-40
- (b)
40a-60
- (c)
40-6a
- (d)
0
How much should Ram pay for x pencils and y sharpeners if each pencil costs Rs.4 and each sharpener costs Rs.3?
- (a)
Rs (4y + 3x)
- (b)
Rs (4x + 3y)
- (c)
Rs. (4x - 6y)
- (d)
Rs 4 (x - 6)y
Madhu buys 'p' oranges at 50 paise each and 'q' mangoes at Rs.0.60 each. How much does he pay for the fruits?
- (a)
(0.5 P + 0.6 q) paise
- (b)
Rs (50 P + 6q) paise
- (c)
Rs (50 P + 60q) paise
- (d)
(0.5 P + 60 q) paise
What does 10y + 7 represent?
- (a)
10 times y added to -7
- (b)
10 y added to 7
- (c)
The product 10 and y + 7
- (d)
7 added to the product of 10 and y
Mohan is x years old. What is his age 15 years from now?
- (a)
(x - 15) years
- (b)
(x + 45) years
- (c)
(x + 15) years
- (d)
(15x) years
Guru is twice as old as Srinu.lf Guru's age is 60 years, how old is Srinu?
- (a)
45 years
- (b)
30 years
- (c)
15 years
- (d)
10 years
In a party room, 20 workers decorate 70 tables. Each table is decorated with 10 silver balloons and 15 gold balloons. Which equation could be used to find x, the total number of silver and gold balloons needed to decorate all the tables?
- (a)
x = 70 (10 + 15)
- (b)
x = 15 (70 + 10)
- (c)
x = 70 + (10\(\times\)15)
- (d)
x = 20 (70 + 10 + 15)
What is the value of "n" that makes the equation below true? \(\frac { n }{ 3 } =12\)
- (a)
36
- (b)
12
- (c)
9
- (d)
3
A paper file costs Rs.80 and a plastic file costs Rs.1.50.Suman bought x paper files and y plastic files. How many rupees should she pay the shopkeeper?
- (a)
8y+15x
- (b)
8x+15y
- (c)
80x+1500y
- (d)
0.8x+1.5y
When Raju multiplies a certain number by 17 and adds 4 to the product, he gets 225. Find the number.
- (a)
13
- (b)
14
- (c)
15
- (d)
16
An algebraic expression, 11 - Y can be written in statement form as____________.
- (a)
11 less than y
- (b)
Y less than 11
- (c)
y more than 11
- (d)
y divided by 11
Value of x in 14\((\frac{x}{2}-2)\)+4= 4 is____________.
- (a)
7
- (b)
4
- (c)
14
- (d)
12
The number of girls in a class is 3 times the number of boys. Which of the following cannot be the total number of students in the class?
- (a)
24
- (b)
32
- (c)
36
- (d)
41
The algebraic expression for the statement "Product of x and reciprocal of a is subtracted from the product of y and reciprocal of b" is ______________.
- (a)
\(\frac{Y}{b}-\frac{X}{a}\)
- (b)
\(\frac{Y-X}{a-b}\)
- (c)
Xa- Yb
- (d)
\(\frac{1}{Yb-Xa}\)
The algebraic expression for the statement 'Thrice of x is added to y multiplied by itself' is____________.
- (a)
3x+ 2y
- (b)
3x + y2
- (c)
3(x + y2)
- (d)
3x+ Y
Which of the following equations has x = 2 following equations has x = 2 as a solution?
- (a)
x+2=5
- (b)
x-2=0
- (c)
2x + 1 = 0
- (d)
x+3=6
The equation ___________and 2x + 2 = 0 have the same solution.
- (a)
x-1=0
- (b)
x+1=0
- (c)
x-2=0
- (d)
x+2=0
I had Rs.350 with me. I gave Rs.\((\frac{x}{2})\) to Amit, Rs.\((\frac{X}{3})\) to Shreya and I am left with Rs.\((\frac{X}{3})\) The amount I gave to Amit is _____________.
- (a)
Rs.150
- (b)
Rs.100
- (c)
Rs.250
- (d)
Rs.200
Jaya's score in Mathematics is 30 more than two third of her score in English. If her score in English is x, then find her score in Mathematics.
- (a)
\(\frac{2}{3}\)(x+30)
- (b)
\(\frac{2x}{3}+30\)
- (c)
\(\frac{2x}{3}-30\)
- (d)
30-\(\frac{2x}{3}\)
State 'T' for true and 'F' for false.
P. x = 15 is the solution of the equation 41 -x= 25.
Q. An equation is an algebraic expression which involves an "equal to" sign.
R. 'x exceeds y by 7' can be expressed as x = y + 7.
- (a)
P Q R
F T T - (b)
P Q R
F T F - (c)
P Q R
T F T - (d)
P Q R
T T T