Algebra Mock Test 15 - Online MCQ Exam

If $\sqrt{x+15} = 7$, find the value of $x$

1 Mark(s)

Your Answer:

32 32
34 34
36 36
38 38

Let f : [0, ∞) → [0, 2] be defined by $f(x)=\frac{2 x}{1+x}$, then f is

1 Mark(s)

Your Answer:

A) one-one but not onto A) one-one but not onto
B) onto but not one-one B) onto but not one-one
C) both one-one and onto C) both one-one and onto
D) neither one-one nor onto D) neither one-one nor onto

Any line segment can be formed by joining:

1 Mark(s)

Your Answer:

two points two points
three points three points
four points four points
more than three points more than three points

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of

1 Mark(s)

Your Answer:

120 120
260 260
240 240
220 220

Find the average of \$25, 35, 45, 55$

1 Mark(s)

Your Answer:

35 35
38 38
42 42
40 40

A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?

1 Mark(s)

Your Answer:

4 1/6 % 4 1/6 %
6 1/6 % 6 1/6 %
8 1/3 % 8 1/3 %
20 % 20 %

What is $5^2 + 3^2$?

1 Mark(s)

Your Answer:

34 34
32 32
36 36
38 38

In algebra, we use alphabets such as a, b, c to denote:

1 Mark(s)

Your Answer:

operational signs operational signs
constants constants
any numerical value any numerical value
polynomial polynomial

Find the cost of 96 shares of Rs. 10 each at (3/4) discount, brokerage being(1/4) per share.

1 Mark(s)

Your Answer:

812 812
912 912
1012 1012
1112 1112

Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?

1 Mark(s)

Your Answer:

25 hrs 25 hrs
28 hrs 28 hrs
20 hrs 20 hrs
35 hrs 35 hrs

The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is_________?

1 Mark(s)

Your Answer:

8 m 8 m
10 m 10 m
6 m 6 m
12 m 12 m

A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?

1 Mark(s)

Your Answer:

neither profit nor loss neither profit nor loss
3% 3%
5% 5%
4% 4%

An item marked at ₹ 9000 is offered in a sale for ₹ 8550. The discount percent is

1 Mark(s)

Your Answer:

A) 5% A) 5%
B) 6% B) 6%
C) 8% C) 8%
D) 8$\frac {1}{3}$% D) 8$\frac {1}{3}$%

2 × 3 × 7 is the prime factorization of

1 Mark(s)

Your Answer:

A) 21 A) 21
B) 1237 B) 1237
C) 237 C) 237
D) 42 D) 42

A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?

1 Mark(s)

Your Answer:

1120 m2 1120 m2
1250 m2 1250 m2
1210 m2 1210 m2
1200 m2 1200 m2

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?

1 Mark(s)

Your Answer:

2 : 3 : 4 2 : 3 : 4
3 : 2 : 4 3 : 2 : 4
3: 2 : 1 3: 2 : 1
3: 4 : 7 3: 4 : 7

The prime factors of 98 in the form of index notation are:

1 Mark(s)

Your Answer:

2 x 5 x 7² 2 x 5 x 7²
2 x 5² 2 x 5²
2 x 7² 2 x 7²
2 x 7³ 2 x 7³

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?

1 Mark(s)

Your Answer:

17/91 17/91
33/91 33/91
51/91 51/91
65/91 65/91

A shopkeeper marks his goods 20% above cost price, but allows 30% discount for cash payment. His net loss is ?

1 Mark(s)

Your Answer:

8% 8%
10% 10%
16% 16%
20% 20%

If $\log_a b = 3$ and $\log_b c = 2$, find $\log_c a$

1 Mark(s)

Your Answer:

$\frac{1}{5}$ $\frac{1}{5}$
$\frac{1}{6}$ $\frac{1}{6}$
$\frac{1}{7}$ $\frac{1}{7}$
$\frac{1}{8}$ $\frac{1}{8}$

If $\alpha$ and $\beta$ are roots of $x^2 - px + q = 0$, find the equation whose roots are $\alpha^2 + \beta^2$ and $\alpha^{-2} + \beta^{-2}$

1 Mark(s)

Your Answer:

$q^2x^2-(p^2-2q)(q^2+1)x+(p^2-2q)^2=0$ $q^2x^2-(p^2-2q)(q^2+1)x+(p^2-2q)^2=0$
$x^2-p^2x+q^2=0$ $x^2-p^2x+q^2=0$
$x^2-(p^2+q^2)x+p^2q^2=0$ $x^2-(p^2+q^2)x+p^2q^2=0$
$q^2x^2-p^2(q^2+1)x+(p^2-2q)^2=0$ $q^2x^2-p^2(q^2+1)x+(p^2-2q)^2=0$

The area of a rectangle with length \$45$ cm and width \$10$ cm is:

1 Mark(s)

Your Answer:

430 cm² 430 cm²
440 cm² 440 cm²
450 cm² 450 cm²
460 cm² 460 cm²

Assertion (A) If Vikas is x years old now, then after 5 years, he will be (x+5) years. Reason (R) To find future age, we subtract years from the present age. Which of the following is true?

1 Mark(s)

Your Answer:

A) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C) Assertion is true but Reason is false.
D) Assertion is false but Reason is true.

If $\log_3 x = 4$, find $x$

1 Mark(s)

Your Answer:

27 27
81 81
243 243
729 729

Find the area of the triangle whose vertices are (-2, 6), (3, -6) and (1, 5).

1 Mark(s)

Your Answer:

A) 30 sq. units A) 30 sq. units
B) 35 sq. units B) 35 sq. units
C) 40 sq. units C) 40 sq. units
D) 15.5 sq. units 5 sq. units D) 15.5 sq. units 5 sq. units

a, b, c are in AP. The arithmetic mean of a and b is x. The arithmetic mean of b and c is y. Then, the arithmetic mean of x and y is

1 Mark(s)

Your Answer:

A) a A) a
B) b B) b
C) c C) c
D) a + c D) a + c

The sum of four consecutive even numbers is 292. What would be the smallest number?

1 Mark(s)

Your Answer:

74 74
76 76
70 70
68 68
None of these None of these

In an examination 40% failed in Urdu, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is________?

1 Mark(s)

Your Answer:

15% 15%
65% 65%
60% 60%
70% 70%

What is $\frac{3}{4} - \frac{1}{4}$?

1 Mark(s)

Your Answer:

$\frac{1}{2}$ $\frac{1}{2}$
$\frac{1}{3}$ $\frac{1}{3}$
$\frac{2}{3}$ $\frac{2}{3}$
$\frac{3}{4}$ $\frac{3}{4}$

The semi-perimeter of a triangle having the length of its sides as 20 cm, 15 cm and 9 cm is

1 Mark(s)

Your Answer:

A) 44 cm A) 44 cm
B) 21 cm B) 21 cm
C) 22 cm C) 22 cm
D) None D) None

We can subtract two matrices A and B if their:

1 Mark(s)

Your Answer:

elements are same elements are same
order is same order is same
rows are same rows are same
columns are same columns are same

What is $\frac{9}{10}$ as a decimal?

1 Mark(s)

Your Answer:

0.9 0.9
0.8 0.8
0.95 0.95
0.85 0.85

LCM of 1/3, 5/6, 5/4, 10/7 is_________?

1 Mark(s)

Your Answer:

10/7 10/7
10 10
10/11 10/11
11/10 11/10

Which one of the following has a greater perimeter than the rest?

1 Mark(s)

Your Answer:

A square with an area of 36 sq.cm A square with an area of 36 sq.cm
An Equilateral Triangle with a side of 9 cm
A rectangle with 10 cm as length and 40 sq.cm as area
A circle with a radius of 4 cm A circle with a radius of 4 cm

If x 2 + y 2 = 1, then

1 Mark(s)

Your Answer:

A) yy” – (2y’) 2 + 1 = 0 A) yy” – (2y’) 2 + 1 = 0
B) yy” + (y’) 2 + 1 = 0 B) yy” + (y’) 2 + 1 = 0
C) yy” – (y’) 2 – 1 = 0 C) yy” – (y’) 2 – 1 = 0
D) yy” + (2y’) 2 + 1 = 0 (y’) 2 + 1 = 0

The area of a triangle is with base 4m and height 5m?

1 Mark(s)

Your Answer:

20 sq m 20 sq m
10 sq m 10 sq m
5 sq m 5 sq m
3 sq m 3 sq m

A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is_________?

1 Mark(s)

Your Answer:

A A
B B
C C
All Alike All Alike

105.126 * 35.201 – 90.23 * 3 + 55.11 * 27.01 = ____________?

1 Mark(s)

Your Answer:

4890 4890
40000 40000
271 271
5996 5996

If the number of columns and rows are not equal in a matrix, then it is said to be a:

1 Mark(s)

Your Answer:

rectangular matrix rectangular matrix
square matrix square matrix
diagonal matrix diagonal matrix
null matrix null matrix

A card is drawn from a pack of 52 cards. What is the probability that it is a face card (King, Queen, and Jack only)?

1 Mark(s)

Your Answer:

1/26 1/26
2/13 2/13
1/13 1/13
3/13 3/13

The range of R = {(0, 2), (2, 4), (3, 4), (4, 5)} is:

1 Mark(s)

Your Answer:

{0, 2, 4, 5} {0, 2, 4, 5}
{0, 2, 3, 4} {0, 2, 3, 4}
{2, 4, 5} {2, 4, 5}
{3, 4, 5} {3, 4, 5}

A person invests equal amounts in three schemes at \$8\%$, \$10\%$, and \$12\%$ simple interest per annum. If the total interest after \$1$ year is $₹3000$, find the amount invested in each scheme.

1 Mark(s)

Your Answer:

₹8000 ₹8000
₹10000 ₹10000
₹12000 ₹12000
₹15000 ₹15000

The symbols , ≤, ≥ are called:

1 Mark(s)

Your Answer:

equality symbols equality symbols
inequalities symbols inequalities symbols
operational signs operational signs
radical signs radical signs

Following are the marks of a group of 100 students in a test of reading ability: Find the probability that a student selected at random gets marks in the interval 38 – 40.

1 Mark(s)

Your Answer:

A) $\frac{1}{2}$ A) $\frac{1}{2}$
B) $\frac{1}{3}$ B) $\frac{1}{3}$
C) $\frac{1}{4}$ C) $\frac{1}{4}$
D) $\frac{1}{5}$ (\frac{1}{5}\) D) $\frac{1}{5}$ (\frac{1}{5}\)

In expressions ax + by and 8x - 4y, x and y are:

1 Mark(s)

Your Answer:

variables variables
coefficients coefficients
exponents exponents
powers powers

If a dice is rolled twice then what is the probability that the sum of the number of dots shown is 8?

1 Mark(s)

Your Answer:

5/36 5/36
4/36 4/36
1/12 1/12
1/2 1/2

Evaluating Your Answers

Algebra Mock Test 15 : Question 1 of 46