Algebra Mock Test 17 - Online MCQ Exam

The ratio of boys to girls in a class is \$3:2$. If there are \$15$ boys, find the total number of students.

1 Mark(s)

Your Answer:

20 20
22 22
27 27
25 25

A car gives a mileage of 20 km per liter of petrol when driven at a constant speed of 50 kmph but the mileage decreases by 10% when driven at a speed of 70 kmph. How many km can the car travel with 12 liters of petrol if it travels a speed of 70 kmph?

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Your Answer:

216 km 216 km
240 km 240 km
228 km 228 km
200 km 200 km

A solid has its top view as a circle and front view as a triangle. The solid is a

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Your Answer:

A) Cylinder A) Cylinder
B) Cone B) Cone
C) Sphere C) Sphere
D) Cube (A) is followed by a statement of Reason (R). Choose the correct option as:

If A is a matrix of order m × n and B is a matrix such that AB’ and B’A are both defined, then the order of matrix B is

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Your Answer:

A) m × m A) m × m
B) n × n B) n × n
C) n × m C) n × m
D) m × n D) m × n

A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?

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Your Answer:

6 hrs 6 hrs
10 hrs 10 hrs
15 hrs 15 hrs
30 hrs 30 hrs

The coordinates of a point are (-5, 6). Its abscissa and ordinate, respectively are:

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Your Answer:

A) 5 and -6 A) 5 and -6
B) -5 and 6 B) -5 and 6
C) 6 and -5 C) 6 and -5
D) 5 and 6 D) 5 and 6

A dice is thrown loo times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table: Find the probability of outcome 1

1 Mark(s)

Your Answer:

A) $\frac{1}{10}$ A) $\frac{1}{10}$
B) $\frac{1}{5}$ B) $\frac{1}{5}$
C) $\frac{1}{4}$ C) $\frac{1}{4}$
D) $\frac{1}{2}$ (\frac{1}{10}\) D) $\frac{1}{2}$ (\frac{1}{10}\)

The base of a triangle is 20 cm, and its height is 12 cm. Find its area.

1 Mark(s)

Your Answer:

A) 120 cm 2 A) 120 cm 2
B) 200 cm 2 B) 200 cm 2
C) 240 cm 2 C) 240 cm 2
D) 100 cm 2 D) 100 cm 2

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

1 Mark(s)

Your Answer:

5% 5%
8% 8%
12% 12%
15% 15%

The average of $n$ numbers is $a$. If the first number is increased by \$1$, second by \$2$, third by \$3$, and so on, find the new average.

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Your Answer:

$a + \frac{n}{2}$ $a + \frac{n}{2}$
$a + \frac{n+1}{2}$ $a + \frac{n+1}{2}$
$a + n$ $a + n$
$a + \frac{n-1}{2}$ $a + \frac{n-1}{2}$

If the number 7254 * 98 is divisible by 22 then the digit at * is

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Your Answer:

A) 1 A) 1
B) 2 B) 2
C) 6 C) 6
D) 0 D) 0

To fill a cistern, pipes P, Q & R take 20, 15 & 12 minutes respectively. The time in minutes that the three pipes together will take to fill the cistern is:__________?

1 Mark(s)

Your Answer:

5 min 5 min
10 min 10 min
15 min 15 min
20 min 20 min

A man can row 7 ½ kms on hour in still water and he finds that it takes hi twice as long to row down the river. The rate of stream is

1 Mark(s)

Your Answer:

2.4km/hr 2.4km/hr
2.5 km/hr 2.5 km/hr
3.4km/hr 3.4km/hr
3.5km/hr 3.5km/hr

What is $\frac{21}{32} + \frac{11}{32}$?

1 Mark(s)

Your Answer:

$\frac{31}{32}$ $\frac{31}{32}$
1 1
$\frac{33}{32}$ $\frac{33}{32}$
$\frac{15}{16}$ $\frac{15}{16}$

Which of the following angles is the measure of an acute angle?

1 Mark(s)

Your Answer:

A) 30° A) 30°
B) 90° B) 90°
C) 120° C) 120°
D) 240° D) 240°

$\frac{1}{3}$ × $\frac{1}{5}$=$\frac{1 × 1}{3 × 5}$ = ◰

1 Mark(s)

Your Answer:

A) $\frac{1}{15}$ A) $\frac{1}{15}$
B) 15 B) 15
C) $\frac{1}{3}$ C) $\frac{1}{3}$
D) $\frac{1}{5}$ (\frac{1}{15}\) D) $\frac{1}{5}$ (\frac{1}{15}\)

If a : b :: c : d, then:

1 Mark(s)

Your Answer:

A) $\frac{a}{b}: \frac{c}{d}$ A) $\frac{a}{b}: \frac{c}{d}$
B) $\frac{c}{a}: \frac{d}{b}$ B) $\frac{c}{a}: \frac{d}{b}$
C) ad = bc C) ad = bc
D) All are true D) All are true

John has two beepers red and green. The green beeper beeps every 35 second and red beeper beeps every 45 seconds. After how many seconds both beepers beeps at the same time?

1 Mark(s)

Your Answer:

512 512
515 515
315 315
415 415

Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.

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Your Answer:

1:2 1:2
2:1 2:1
1:4 1:4
4:1 4:1

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

The perimeter of a rectangle with length \$10$ cm and width \$6$ cm is:

1 Mark(s)

Your Answer:

32 cm 32 cm
30 cm 30 cm
34 cm 34 cm
36 cm 36 cm

There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?

1 Mark(s)

Your Answer:

5 5
7 7
11 11
13 13

If sin -1 x – cos -1 x = $\frac{\pi}{6}$, then x =

1 Mark(s)

Your Answer:

A) $\frac{1}{2}$ A) $\frac{1}{2}$
B) $\frac{\sqrt{3}}{2}$ B) $\frac{\sqrt{3}}{2}$
C) $-\frac{1}{2}$ C) $-\frac{1}{2}$
D) $-\frac{\sqrt{3}}{2}$ (\frac{\sqrt{3}}{2}\)

By selling 12 oranges for one rupee, a man loses 20%. How many for a rupee should he sell to get a gain of 20%?

1 Mark(s)

Your Answer:

5 5
8 8
10 10
15 15

A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?

1 Mark(s)

Your Answer:

Rs.3240 Rs.3240
Rs.3600 Rs.3600
Rs.3800 Rs.3800
Rs.4200 Rs.4200

If a number is selected at random from the first 100 natural numbers, what will be the probability that the selected number is a perfect cube?

1 Mark(s)

Your Answer:

1/25 1/25
2/25 2/25
3/25 3/25
4/25 4/25

A scalar is denoted by:

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Your Answer:

n n
k k
r r
a a

P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in________days if all of them are working together.

1 Mark(s)

Your Answer:

2 2
3 3⁄7 3 3⁄7
4 ¼ 4 ¼
5 5

Using determinants, find the equation of the line joining the points (1, 2) and (3, 6).

1 Mark(s)

Your Answer:

A) y = 2x A) y = 2x
B) x = 3y B) x = 3y
C) y = x C) y = x
D) 4x – y = 5 D) 4x – y = 5

7.5 can be expressed in the form $\frac{p}{q}$ as:

1 Mark(s)

Your Answer:

A) $\frac{69}{9}$ A) $\frac{69}{9}$
B) $\frac{79}{99}$ B) $\frac{79}{99}$
C) $\frac{7}{9}$ C) $\frac{7}{9}$
D) none of these D) none of these

The length of a rectangle is increased by 60 %. By what percent would the width have to be decreased to maintain the same area?

1 Mark(s)

Your Answer:

37 ½ % 37 ½ %
60 % 60 %
75 % 75 %
none of these none of these

The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is_________?

1 Mark(s)

Your Answer:

3:8 3:8
9:16 9:16
9:32 9:32
9:64 9:64

Evaluating Your Answers

Algebra Mock Test 17 : Question 1 of 32