Algebra Mock Test 16 - Online MCQ Exam

A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-forth of the first sum is equal to one-fifth of the second sum. The total sum invested was :

1 Mark(s)

Your Answer:

Rs.3100 Rs.3100
Rs.2700 Rs.2700
Rs.2200 Rs.2200
Rs.1800 Rs.1800

A cistern can be filled by three pipes in \$6$, \$8$, and \$12$ hours. All three are opened for \$2$ hours, then the first is closed. In how many more hours will the cistern be filled?

1 Mark(s)

Your Answer:

1 hour 1 hour
1.2 hours 1.2 hours
1.5 hours 1.5 hours
2 hours 2 hours

If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:

1 Mark(s)

Your Answer:

Rs. 20 Rs. 20
Rs. 21.81 Rs. 21.81
Rs. 22 Rs. 22
Rs. 18.33 Rs. 18.33

Rohan uses a trick to find a friend’s birthday. He tells his friend to multiply the month number M by 5, add 7, multiply by 4, add 13, and finally multiply the result by 5. Which algebraic expression represents this trick?

1 Mark(s)

Your Answer:

A) (5M + 7) × 4 + 13 × 5 A) (5M + 7) × 4 + 13 × 5
B) {(5M + 7) × 4 + 13} × 5 B) {(5M + 7) × 4 + 13} × 5
C) 5M + 7 + 4 + 13 + 5 C) 5M + 7 + 4 + 13 + 5
D) 5(M + 7 + 4 + 13) (5M + 7) × 4 + 13} × 5

The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?

1 Mark(s)

Your Answer:

23.57 cm 23.57 cm
47.14 cm 47.14 cm
84.92 cm 84.92 cm
94.94 cm 94.94 cm

The sum of three numbers is 252. What is the value of the second number if the first number is thrice of the second number, and the third number is two-third of the first number?

1 Mark(s)

Your Answer:

36 36
42 42
45 45
None of the above None of the above

(-2) 6 × (-3) 2 is equal to:

1 Mark(s)

Your Answer:

A) 144 A) 144
B) -144 B) -144
C) 36 C) 36
D) -36 D) -36

The value of 3(x+y) – 3(x-y) is equal to

1 Mark(s)

Your Answer:

A) 6 x A) 6 x
B) 0 B) 0
C) 6 y C) 6 y
D) 3 x D) 3 x

A rational number lying between -3 and 3 is:

1 Mark(s)

Your Answer:

A) 0 A) 0
B) -4.3 B) -4.3
C) -3.4 C) -3.4
D) 1.101 1001 10001 …. D) 1.101 1001 10001 ….

The diagonals of a rhombus are 15 cm and 20 cm. Find its area?

1 Mark(s)

Your Answer:

120 sq m 120 sq m
300 sq m 300 sq m
150 sq m 150 sq m
480 sq m 480 sq m

If two pipes function together, the cistern will be filled in 6 hrs. One pipe fills the cistern 5 hrs. faster than the other. How many hours it take the second pipe to fill the cistern?

1 Mark(s)

Your Answer:

5 hrs 5 hrs
10 hrs 10 hrs
15 hrs 15 hrs
20 hrs 20 hrs

Find the average of \$15, 25, 35, 45$

1 Mark(s)

Your Answer:

25 25
28 28
30 30
32 32

A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?

1 Mark(s)

Your Answer:

3 kmph 3 kmph
1.5 kmph 1.5 kmph
13 kmph 13 kmph
6.5 kmph 6.5 kmph

The unit of ratio is:

1 Mark(s)

Your Answer:

cm cm
inches inches
no unit no unit
radians radians

What is $\frac{13}{15} - \frac{8}{15}$?

1 Mark(s)

Your Answer:

$\frac{1}{3}$ $\frac{1}{3}$
$\frac{2}{5}$ $\frac{2}{5}$
$\frac{5}{15}$ $\frac{5}{15}$
$\frac{1}{2}$ $\frac{1}{2}$

The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?

1 Mark(s)

Your Answer:

15 5/15% 15 5/15%
18 2/11% 18 2/11%
16 2/3% 16 2/3%
30% 30%

What is the value of 30 ÷ 5 ?

1 Mark(s)

Your Answer:

A) 5 A) 5
B) 30 B) 30
C) 6 C) 6
D) 10 D) 10

Sameena started a software business by investing Rs. 50,000. After six months, Nida joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Saneena’s share in the profit?

1 Mark(s)

Your Answer:

Rs. 9423 Rs. 9423
Rs. 10,250 Rs. 10,250
Rs. 12,500 Rs. 12,500
Rs. 14,000 Rs. 14,000
None of these None of these

A train travels 240 km in 4 hours. At the same speed, how long will it take to travel 360 km?

1 Mark(s)

Your Answer:

A) 5 hours A) 5 hours
B) 6 hours B) 6 hours
C) 7 hours C) 7 hours
D) 8 hours D) 8 hours

If the exterior angle of a triangle is 130°, then sum of two interior angles opposite to the exterior angle of a triangle is equal to

1 Mark(s)

Your Answer:

A) 50° A) 50°
B) 60° B) 60°
C) 180° C) 180°
D) 130° D) 130°

If $x - 5 = 10$, find $x$

1 Mark(s)

Your Answer:

12 12
13 13
14 14
15 15

What is $\frac{1}{2} + \frac{1}{4}$?

1 Mark(s)

Your Answer:

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

The third angle of a △ whose two angles are 100° and 79° is :

1 Mark(s)

Your Answer:

A) 1° A) 1°
B) 2° B) 2°
C) 10° C) 10°
D) 21° D) 21°

A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m²; find the length of the diagonal of the courtyard?

1 Mark(s)

Your Answer:

25 m 25 m
35 m 35 m
45 m 45 m
50 m 50 m

If y = (tan x) sin x , then $\frac{d y}{d x}$ is equal to

1 Mark(s)

Your Answer:

A) sec x + cos x A) sec x + cos x
B) sec x + log tan x B) sec x + log tan x
C) (tan x) sin x C) (tan x) sin x
D) None of these D) None of these

If cost of one pen is $1.5 each, the formula for cost of 'x' pens will be:

1 Mark(s)

Your Answer:

1.5x 1.5x
15 + x 15 + x
1.5⁄x 1.5⁄x
x⁄1.5 x⁄1.5

Solve the equation for x : 19(x + y) + 17 = 19(-x + y) – 21

1 Mark(s)

Your Answer:

-1 -1
-2 -2
-3 -3
-4 -4
None of these None of these

$A=\left[\begin{array}{ll} 1 & -1 \\ 2 & -1 \end{array}\right], B=\left[\begin{array}{ll} x & 1 \\ y & -1 \end{array}\right]$ and (A + B) 2 = A 2 + B 2 , then x + y =

1 Mark(s)

Your Answer:

A) 2 A) 2
B) 3 B) 3
C) 4 C) 4
D) 5 D) 5

What is the rate of interest at which Rs.150 becomes Rs. 220 in 10 years.

1 Mark(s)

Your Answer:

11/3% 11/3%
14/3% 14/3%
12% 12%
14% 14%

Which of the following is wrongly paired?

1 Mark(s)

Your Answer:

A) Nainital- Uttarakhand A) Nainital- Uttarakhand
B) Darjeeling- Odisha B) Darjeeling- Odisha
C) Shimla- Himachal Pradesh C) Shimla- Himachal Pradesh
D) Mussoorie- Uttarakhand D) Mussoorie- Uttarakhand

What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?

1 Mark(s)

Your Answer:

1/21 1/21
4/7 4/7
2/7 2/7
5/7 5/7

Assertion (A) The expanded form of (5 – y) 2 is 25 + 10y – y 2 . Reason (R)(a – b) 2 = a 2 – 2ab + b 2 .

1 Mark(s)

Your Answer:

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

Considering the following pattern 2 x (2 - 1) = 2, 3 x (3 - 1) = 6, 4 x (4 - 1) = 12, 5 x (5 - 1) = 20, the 8th line in the pattern will be:

1 Mark(s)

Your Answer:

9 x (9 - 1) = 72 9 x (9 - 1) = 72
8 x (8 - 1) = 56 8 x (8 - 1) = 56
7 x (8 - 1) = 49 7 x (8 - 1) = 49
10 x (10 - 1) = 90 10 x (10 - 1) = 90

Evaluating Your Answers

Algebra Mock Test 16 : Question 1 of 33