Algebra Mock Test 5 - Online MCQ Exam

An equation which contains the square of the unknown variable quantity, but no higher power is called:

1 Mark(s)

Your Answer:

quadratic equation quadratic equation
linear equation linear equation
simple equation complex equation simple equation complex equation
complex equation complex equation

If x 2 + y 2 = 1, then

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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

Surds having the same irrational factor are called:

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Your Answer:

similar surds similar surds
unlike surds unlike surds
mixed surds mixed surds
pure surds pure surds

A person marks goods at $x\%$ above cost and allows a discount of $\frac{x}{2}\%$. If he makes a profit of \$8\%$, find $x$.

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Your Answer:

20 20
25 25
30 30
40 40

The value of 52 × 1001 is

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Your Answer:

A) 31408 A) 31408
B) 54386 B) 54386
C) 51041 C) 51041
D) 52052 D) 52052

The area of a trapezium is 84 cm 2 . If its height is 7 cm and one parallel side is 10 cm, find the other parallel side.

1 Mark(s)

Your Answer:

A) 12 cm A) 12 cm
B) 14 cm B) 14 cm
C) 16 cm C) 16 cm
D) 18 cm D) 18 cm

If a and b are two positive numbers that are less than one, then the maximum value of Floor(a+b) and Ceil(a+b) is?

1 Mark(s)

Your Answer:

Floor(a+b) is 0 and Ceil(a+b) is 1. Floor(a+b) is 0 and Ceil(a+b) is 1.
Floor(a+b) is 1 and Ceil(a+b) is 0. Floor(a+b) is 1 and Ceil(a+b) is 0.
Floor(a+b) is 1 and Ceil(a+b) is 2. Floor(a+b) is 1 and Ceil(a+b) is 2.
Floor(a+b) is 2 and Ceil(a+b) is 1 Floor(a+b) is 2 and Ceil(a+b) is 1

735 × 101 = _______

1 Mark(s)

Your Answer:

A) 74245 A) 74245
B) 74345 B) 74345
C) 74235 C) 74235
D) 74525 D) 74525

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 50 days to complete the same work. then Q alone can do it in__________?

1 Mark(s)

Your Answer:

30 days 30 days
25 days 25 days
20 days 20 days
15 days 15 days

The following bar graph shows the number of members in each family of a colony. The number of families having 3 members is

1 Mark(s)

Your Answer:

A) 25 A) 25
B) 30 B) 30
C) 35 C) 35
D) 40 D) 40

By multiplying and dividing the polynomials with any number during the process of finding H.C.F:

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Your Answer:

H.C.F is not affected H.C.F is not affected
H.C.F is affected H.C.F is affected
L.C.M is not affected L.C.M is not affected
L.C.M is affected L.C.M is affected

If $\frac{2x+3}{3x-5} = \frac{5}{7}$, find the value of $x$

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Your Answer:

42 42
44 44
45 45
46 46

A plot of land in the form of a rectangle has dimensions 240m x 180m. A draint 10m wide is dug all around it on the outside and the earth dug out is evenly spread over the plot increasing its surface level by 25cm. The depth of the drailent of

1 Mark(s)

Your Answer:

1.227m 1.227m
1.225m 1.225m
1.233m 1.233m
1.229m 1.229m

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

What is $\sqrt{1296}$?

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Your Answer:

36 36
34 34
38 38
40 40

H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is___________?

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Your Answer:

180 180
360 360
540 540
1260 1260

In a hospital there are enough injections sufficient for 15 days. Originally there were 80 patients but 40 more patients appeared. How many days these injections will be sufficient for now?

1 Mark(s)

Your Answer:

10 10
15 15
16 16
12 12

If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?

1 Mark(s)

Your Answer:

30% 30%
33% 33%
33 1/3% 33 1/3%
35% 35%

The value of (2.75)3 – (2.00)3 – (0.75)3 is__________?

1 Mark(s)

Your Answer:

3 * 2.75 * 2.75 * 2.75 3 * 2.75 * 2.75 * 2.75
3 * 2.00 * 2.00 * 2.00 3 * 2.00 * 2.00 * 2.00
3 * 2.75 * 0.75 * 2.75 3 * 2.75 * 0.75 * 2.75
4.5 * 2.75 4.5 * 2.75

The theory of matrices was developed in:

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Your Answer:

1838 1838
1858 1858
1829 1829
1847 1847

605 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20 % of the total number of children. How many sweets did each child receive?

1 Mark(s)

Your Answer:

11 11
24 24
45 45
cannot be determined cannot be determined

Find the value: $\sqrt{196}$

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Your Answer:

12 12
13 13
15 15
14 14

If $7x = 56$, find $x$

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Your Answer:

6 6
7 7
8 8
9 9

The expression 119 × 332 × 6 is a/an

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Your Answer:

A) even number A) even number
B) odd number B) odd number
C) prime number C) prime number
D) None of these D) None of these

The matrix A = $\left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right]$ is a

1 Mark(s)

Your Answer:

A) unit matrix A) unit matrix
B) diagonal matrix B) diagonal matrix
C) symmetric matrix C) symmetric matrix
D) skew-symmetric matrix D) skew-symmetric matrix

Find the value: $90^2$

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Your Answer:

8000 8000
8050 8050
8100 8100
8150 8150

If the price per pencil is ₹ c and price per eraser is ₹ d. Then, the algebraic expression representing the price of 2 pencils and 6 erasers is (in ₹)

1 Mark(s)

Your Answer:

A) 6 + 2 + c + d A) 6 + 2 + c + d
B) cd + 6 + 2 B) cd + 6 + 2
C) 6c + 2d C) 6c + 2d
D) 2c + 6d D) 2c + 6d

Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?

1 Mark(s)

Your Answer:

17 hr 17 hr
14 hr 14 hr
12 hr 12 hr
19 hr 19 hr

What is $\sqrt{400}$?

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Your Answer:

18 18
20 20
22 22
24 24

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

1 Mark(s)

Your Answer:

1 : 3 1 : 3
2 : 3 2 : 3
3 : 4 3 : 4
4 : 5 4 : 5

A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?

1 Mark(s)

Your Answer:

Rs.5000 Rs.5000
Rs.25000 Rs.25000
Rs.7500 Rs.7500
Rs.8500 Rs.8500

What is the largest number that can be formed using the digits 6382?

1 Mark(s)

Your Answer:

A) 8632 A) 8632
B) 8362 B) 8362
C) 8623 C) 8623
D) 8236 The largest number formed by 6382 is 8632. Hence correct answer is option (a).

What is $\frac{5}{12} + \frac{7}{12}$?

1 Mark(s)

Your Answer:

1 1
$\frac{11}{12}$ $\frac{11}{12}$
$\frac{13}{12}$ $\frac{13}{12}$
$\frac{5}{6}$ $\frac{5}{6}$

What is $\frac{1}{3} + \frac{1}{6}$?

1 Mark(s)

Your Answer:

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

The least square number which divides 8, 12 and 18 is________?

1 Mark(s)

Your Answer:

100 100
121 121
64 64
144 144

If the system of equations 2x + 3y + 5 = 0, x + ky + 5 = 0, kx – 12y – 14 = 0 has non-trivial solution, then the value of k is

1 Mark(s)

Your Answer:

A) -2, $\frac{12}{5}$ A) -2, $\frac{12}{5}$
B) -1, $\frac{1}{5}$ B) -1, $\frac{1}{5}$
C) -6, $\frac{17}{5}$ C) -6, $\frac{17}{5}$
D) 6, $-\frac{12}{5}$ (\frac{17}{5}\) D) 6, $-\frac{12}{5}$ (\frac{17}{5}\)

The cube root of 6859 is

1 Mark(s)

Your Answer:

A) 19 A) 19
B) 18 B) 18
C) 17 C) 17
D) 21 D) 21

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

Sharjeel has a container which has a mixture of wine and water in it. Wine and water are in the ratio 4:1. Sharjeel spills some of the mixture by accident. He then replaces the spilled amount with water of same quantity. But now the wine to water ratio became 3:2. How much water did Sharjeel add?

1 Mark(s)

Your Answer:

3/5 3/5
1/2 1/2
1/4 1/4
2/7 2/7

Two numbers are in the ratio 5:4 and their difference is 10.What is the largest number?

1 Mark(s)

Your Answer:

40 40
50 50
60 60
30 30

What is the result of multiplying the largest single-digit number by 3?

1 Mark(s)

Your Answer:

A) 18 A) 18
B) 21 B) 21
C) 27 C) 27
D) 30 D) 30

The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?

1 Mark(s)

Your Answer:

Rs.3000 Rs.3000
Rs.3300 Rs.3300
Rs.3600 Rs.3600
Rs.3900 Rs.3900

If a man walks at 6 kmph, he can reach his destination at 9:00 am. However, he walks a little slower and reaches only at 10:00 am. If the distance to his destination was 12 km, at what speed did he walk?

1 Mark(s)

Your Answer:

5 kmph 5 kmph
4 kmph 4 kmph
4.5 kmph 4.5 kmph
3 kmph 3 kmph

By selling an article at Rs.600, a profit of 25% is made. Find its cost price?

1 Mark(s)

Your Answer:

Rs.350 Rs.350
Rs.400 Rs.400
Rs.573 Rs.573
Rs.480 Rs.480

In the given figure, if PA, BC and DT are parallel lines and AB and DC are parallel lines, then the values of a and b are respectively

1 Mark(s)

Your Answer:

A) 60° and 120° A) 60° and 120°
B) 50° and 130° B) 50° and 130°
C) 70° and 110° C) 70° and 110°
D) 80° and 100° D) 80° and 100°

If −2 x −7 x 2 = 28 then −7 x 2 x −2 is equal to:

1 Mark(s)

Your Answer:

14 14
(−14) (−14)
28 28
(−28) (−28)

A rational number lying between √2 and √3 is :

1 Mark(s)

Your Answer:

A) $\frac{\sqrt{2}+\sqrt{3}}{2}$ A) $\frac{\sqrt{2}+\sqrt{3}}{2}$
B) √6 B) √6
C) 1.6 C) 1.6
D) 1.9 6 D) 1.9 6

Assertion (A) $\frac{7}{9}$ × $\frac{8}{7}$ = $\frac{56}{63}$ Reason (R) Product of two fractions = $\frac{\text { Product of their numerators }}{\text { Product of their denominators }}$

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.

Which of the following fraction is smallest?

1 Mark(s)

Your Answer:

A) $\frac{16}{23}$ A) $\frac{16}{23}$
B) $\frac{17}{23}$ B) $\frac{17}{23}$
C) $\frac{9}{23}$ C) $\frac{9}{23}$
D) $\frac{11}{23}$ (\frac{9}{23}\) D) $\frac{11}{23}$ (\frac{9}{23}\)

A boat is rowed downstream at 15.5km/hr and upstream at 8.5 km/hr. The speed of the stream is________?

1 Mark(s)

Your Answer:

3.5km/hr 3.5km/hr
5.75km/hr 5.75km/hr
6.5km/hr 6.5km/hr
7km/hr 7km/hr

Evaluating Your Answers

Algebra Mock Test 5 : Question 1 of 50