Algebra Mock Test 4 - Online MCQ Exam

a – b = 7 and ab = 9, then a 2 + b 2 =

1 Mark(s)

Your Answer:

A) 31 A) 31
B) 67 B) 67
C) 40 C) 40
D) 58 D) 58

If $a:b = 2:3$ and $b:c = 4:5$, find $a:b:c$

1 Mark(s)

Your Answer:

0.2556712962963 0.2556712962963
0.34045138888889 0.34045138888889
0.25850694444444 0.25850694444444
0.34184027777778 0.34184027777778

A train travels \$60$ km in \$1$ hour. What is its speed?

1 Mark(s)

Your Answer:

60 km/hr 60 km/hr
50 km/hr 50 km/hr
70 km/hr 70 km/hr
80 km/hr 80 km/hr

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

1 Mark(s)

Your Answer:

2700 2700
1080 1080
450 450
1800 1800

Find the HCF of \$210$ and \$315$

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Your Answer:

35 35
70 70
210 210
105 105

Oranges are bought at 11 for a rupee and an equal number more at 9 a rupee. If these are sold at 10 for a rupee, find the loss or gain percent?

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Your Answer:

1% gain 1% gain
2% gain 2% gain
1% loss 1% loss
2% loss 2% loss

Find the greatest 4-digit number exactly divisible by 3, 4 and 5?

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Your Answer:

9985 9985
9960 9960
9957 9957
9975 9975

By solving equation 6(9.3 - 3x) = 28x, the value of 'x' will be:

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Your Answer:

1.213 1.213
3.213 3.213
4.213 4.213
5.213 5.213

A line which connects any two points on a circle is known as:

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Your Answer:

perimeter perimeter
diameter diameter
chord chord
radius radius

For a variable X, the nth positive root of the product of the x1, x2, x3,.... Xn is called:

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Your Answer:

Arithmetic mean Arithmetic mean
harmonic mean harmonic mean
standard mean standard mean
geometric mean geometric mean

Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?

1 Mark(s)

Your Answer:

1/6 1/6
5/8 5/8
3/8 3/8
5/6 5/6

A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.

1 Mark(s)

Your Answer:

51 51
61 61
47 47
45 45

If $8x = 72$, find $x$

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Your Answer:

7 7
8 8
10 10
9 9

A sum is divided among A, B, and C such that A gets $\frac{2}{5}$ of what B gets and B gets $\frac{3}{4}$ of what C gets. If C gets $₹2400$, find the total sum.

1 Mark(s)

Your Answer:

₹4920 ₹4920
₹4800 ₹4800
₹5000 ₹5000
₹5200 ₹5200

In what ratio must a grocer mix teas worth Rs.60 a kg and Rs.65 a kg.So that by selling the mixture at Rs. 68.20 a kg, He may gain 10%?

1 Mark(s)

Your Answer:

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

An expression for total cost is given by 100 x – 7, where x is the number of items. Find the cost for 4 items.

1 Mark(s)

Your Answer:

A) 400 A) 400
B) 93 B) 93
C) 393 C) 393
D) 293 D) 293

The name of slant line which intersects the two parallel lines at two distinct points is :

1 Mark(s)

Your Answer:

A) Parallel line A) Parallel line
B) Perpendicular line B) Perpendicular line
C) Intersecting line C) Intersecting line
D) Transversal line D) Transversal line

Out of the following, the one angle which is reflex is:

1 Mark(s)

Your Answer:

10⁄13 of a complete rotation 10⁄13 of a complete rotation
3⁄4 of a complete rotation 3⁄4 of a complete rotation
11⁄21 of a complete rotation 11⁄21 of a complete rotation
all of above all of above

By converting the 62.7m² into km², the answer will be:

1 Mark(s)

Your Answer:

0.0000627km² 0.0000627km²
0.0627km² 0.0627km²
0.00627km² 0.00627km²
6270km² 6270km²

If x, y, z and w are four consecutive numbers and place signs in between the numbers then the number of possible expressions is

1 Mark(s)

Your Answer:

A) 3 A) 3
B) 4 B) 4
C) 6 C) 6
D) 8 D) 8

The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is________?

1 Mark(s)

Your Answer:

Rs.357 Rs.357
Rs.340 Rs.340
Rs.342 Rs.342
Rs.338 Rs.338

On decreasing the price of T.V. sets by 30 % its sale is increased by 20 %. What is the effect on the revenue received by the shopkeeper?

1 Mark(s)

Your Answer:

10 % increase 10 % increase
10 % decrease 10 % decrease
16 % increase 16 % increase
16 % decrease 16 % decrease

What should be added to $\frac{11}{17}$ to make it $\frac{15}{17}$?

1 Mark(s)

Your Answer:

A) $\frac{26}{17}$ A) $\frac{26}{17}$
B) 4 B) 4
C) $\frac{4}{17}$ C) $\frac{4}{17}$
D) $\frac{4}{34}$ (\frac{4}{17}\) D) $\frac{4}{34}$ (\frac{4}{17}\)

If $x^2 - 6x + 8 = 0$, find the sum of the squares of the roots.

1 Mark(s)

Your Answer:

16 16
18 18
20 20
24 24

2758 + 20581 – 17889 = ________?

1 Mark(s)

Your Answer:

178 178
7850 7850
5200 5200
4800 4800

(1 + 3x) 3 is an example of:

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Your Answer:

A) Monomial A) Monomial
B) Binomial B) Binomial
C) Trinomial C) Trinomial
D) None of these D) None of these

The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm³ of metal used in the box weighs 0.5 gms, the weight of the box is________?

1 Mark(s)

Your Answer:

8.56 kg 8.56 kg
7.76 kg 7.76 kg
7.756 kg 7.756 kg
6.832 kg 6.832 kg

In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?

1 Mark(s)

Your Answer:

120 120
720 720
4320 4320
2160 2160

Angles that are greater than 180° and less than 360° are called:

1 Mark(s)

Your Answer:

reflective angles reflective angles
obtuse angles obtuse angles
acute angles acute angles
right angles right angles

If $x^4 + \frac{1}{x^4} = 119$, find $x^3 - \frac{1}{x^3}$

1 Mark(s)

Your Answer:

33 33
36 36
39 39
42 42

The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?

1 Mark(s)

Your Answer:

91.5 cm 91.5 cm
93.5 cm 93.5 cm
94.5 cm 94.5 cm
92.5 cm 92.5 cm

If α, β, γ are in A.P., then $\left|\begin{array}{ccc} x-3 & x-4 & x-\alpha \\ x-2 & x-3 & x-\beta \\ x-1 & x-2 & x-\gamma \end{array}\right|=$

1 Mark(s)

Your Answer:

A) 0 A) 0
B) (x – 2)(x – 3)(x – 4) B) (x – 2)(x – 3)(x – 4)
C) (x – α)(x – β)(x – γ) C) (x – α)(x – β)(x – γ)
D) αβγ (α – β)(β – γ) 2 D) αβγ (α – β)(β – γ) 2

Erin bought 60 chocolates for $10.0. Some chocolates cost 20 cents each and rest costs 16 cents each. The number of chocolates she bought of 16 cents are:

1 Mark(s)

Your Answer:

45 chocolates 45 chocolates
35 chocolates 35 chocolates
40 chocolates 40 chocolates
50 chocolates 50 chocolates

If $x = 2 + \sqrt{3}$, find $x^3 + \frac{1}{x^3}$

1 Mark(s)

Your Answer:

48 48
50 50
52 52
54 54

If A and B matrices are of same order and A + B = B + A, this law is known as:

1 Mark(s)

Your Answer:

distributive law distributive law
commutative law commutative law
associative law associative law
Cramer's law Cramer's law

The surface area of solid cylinder with radius ‘r’ and height ‘h’ is measured by:

1 Mark(s)

Your Answer:

2πrh + 2πr² 2πrh + 2πr²
2πrh - 2πr² 2πrh - 2πr²
πrh - πr² πrh - πr²
πrh + πr² πrh + πr²

If $x + 18 = 50$, find $x$

1 Mark(s)

Your Answer:

30 30
31 31
34 34
32 32

If $x - 9 = 16$, find $x$

1 Mark(s)

Your Answer:

22 22
23 23
24 24
25 25

(84 ÷ 14 ÷ 2 ÷ 9) * ? = 33⅓

1 Mark(s)

Your Answer:

100 100
300 300
90,000 90,000
10,000 10,000

One top can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?

1 Mark(s)

Your Answer:

5 Hours 5 Hours
6 Hours 6 Hours
7 Hours 7 Hours
8 Hours 8 Hours

$\frac{21}{19}$ can be expressed In form

1 Mark(s)

Your Answer:

A) 2$\frac{3}{7}$ A) 2$\frac{3}{7}$
B) 2$\frac{3}{7}$ B) 2$\frac{3}{7}$
C) 1$\frac{3}{7}$ C) 1$\frac{3}{7}$
D) 3$\frac{3}{7}$ (\frac{3}{7}[/latex D) 3$\frac{3}{7}$ (\frac{3}{7}[/latex

A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?

1 Mark(s)

Your Answer:

24000 24000
23000 23000
22000 22000
25000 25000

The round off value of 6488 cakes to the nearest 100 cakes is:

1 Mark(s)

Your Answer:

6400 cakes 6400 cakes
7000 cakes 7000 cakes
6500 cakes 6500 cakes
6600 cakes 6600 cakes

The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

1 Mark(s)

Your Answer:

8 8
10 10
12 12
Cannot be determined Cannot be determined

P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?

1 Mark(s)

Your Answer:

8 8
6 6
4 4
2 2

When a circle is drawn through its four vertices, a quadrilateral is said to be:

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Your Answer:

non-cyclic non-cyclic
cyclic cyclic
collinear collinear
non-collinear non-collinear

12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

1 Mark(s)

Your Answer:

14 14
15 15
16 16
18 18

The types of frequency distribution are:

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Your Answer:

3 3
4 4
5 5
2 2

If $\frac{7}{9}=\frac{28}{p}$,then value of p is

1 Mark(s)

Your Answer:

A) 23 A) 23
B) 2 B) 2
C) 36 C) 36
D) 16 D) 16

The parity of the expression 3 n + 2, when n = 2, is

1 Mark(s)

Your Answer:

A) even. A) even.
B) odd B) odd
C) sometimes even, sometimes odd C) sometimes even, sometimes odd
D) None of the above D) None of the above

A recipe requires $\frac{2}{3}$ of a cup of sugar. If you triple the recipe, how much sugar is needed?

1 Mark(s)

Your Answer:

A) $\frac{4}{3}$ cups A) $\frac{4}{3}$ cups
B) $\frac{5}{6}$ cups B) $\frac{5}{6}$ cups
C) $\frac{2}{9}$ cups C) $\frac{2}{9}$ cups
D) $\frac{6}{3}$ cups (\frac{6}{3}\) cups

P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?

1 Mark(s)

Your Answer:

3:4 3:4
3:5 3:5
15:23 15:23
17:23 17:23
None of these None of these

The law which does not hold in multiplication of matrices is known as:

1 Mark(s)

Your Answer:

distributive law distributive law
Inverse law Inverse law
associative law associative law
commutative law commutative law

What is $5^3$?

1 Mark(s)

Your Answer:

100 100
115 115
125 125
150 150

I. x² + 3x – 18 = 0,
II. y² + y – 30 = 0 to solve both the equations to find the values of x and y?

1 Mark(s)

Your Answer:

If x < y If x < y
If x > y If x > y
If x ≤ y If x ≤ y
If x ≥ y If x ≥ y
If x = y or the relationship between x and y cannot be established.

3.5 can be expressed in terms of percentage as?

1 Mark(s)

Your Answer:

0.35% 0.35%
3.5% 3.5%
35% 35%
350% 350%

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

Assertion (A) The square root of a perfect square is always a whole number. Reason (R) A perfect square is a number that can be expressed as the product of an integer by itself. (e.g. 9 = 3 × 3 or 16 = 4 × 4)

1 Mark(s)

Your Answer:

A) Both A and R are true and R is the correct explanation of A.
B) Both A and R are true 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.

The value of 198 2 – 197 2 is

1 Mark(s)

Your Answer:

A) 393 A) 393
B) 395 B) 395
C) 295 C) 295
D) 293 D) 293

Total area of the 64 small squares of aches board is 400cm2. There is 3cm wide border around the chess board. What is the length of each side of the chess board?

1 Mark(s)

Your Answer:

17cm 17cm
20cm 20cm
23cm 23cm
26cm 26cm

The four handbags and three school bags costs $2000 and cost of handbag is thrice as much as schoolbags. If cost of school bag is 'a' then the derived equation will be:

1 Mark(s)

Your Answer:

3(4a) - 3a = 2000 3(4a) - 3a = 2000
3(4a) + 3a = 2000 3(4a) + 3a = 2000
3(4a) + 3(3a) = 2000 3(4a) + 3(3a) = 2000
3(4a) - 3(3a) = 2000 3(4a) - 3(3a) = 2000

If * is a binary operation on set of integers I defined by a * b = 3a + 4b – 2, then find the value of 4 * 5.

1 Mark(s)

Your Answer:

A) 35 A) 35
B) 30 B) 30
C) 25 C) 25
D) 29 D) 29

What is $\frac{19}{23} - \frac{14}{23}$?

1 Mark(s)

Your Answer:

$\frac{5}{23}$ $\frac{5}{23}$
$\frac{4}{23}$ $\frac{4}{23}$
$\frac{6}{23}$ $\frac{6}{23}$
$\frac{1}{5}$ $\frac{1}{5}$

If a cuboid is 2.7cm high, 7.8cm long and 3.7 wide then the volume of cuboid is:

1 Mark(s)

Your Answer:

77.922cm³ 77.922cm³
82.987cm³ 82.987cm³
83.456m³ 83.456m³
85.687cm³ 85.687cm³

The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:

1 Mark(s)

Your Answer:

6 months 6 months
8 months 8 months
9 months 9 months
10 months 10 months

Find the value: $\sqrt{441}$

1 Mark(s)

Your Answer:

19 19
20 20
21 21
22 22

What is the next number in the sequence 1, 4, 9,16…?

1 Mark(s)

Your Answer:

A) 20 A) 20
B) 24 B) 24
C) 25 C) 25
D) 30 D) 30

Where do the four quadrants meet?

1 Mark(s)

Your Answer:

A) at O A) at O
B) in x-axis B) in x-axis
C) in y-axis C) in y-axis
D) do not meet D) do not meet

Cost of fencing a rectangular park of length 200 m and width 150 m at the rate of ₹ 25 per metre is

1 Mark(s)

Your Answer:

A) ₹ 17500 A) ₹ 17500
B) ₹ 1750 B) ₹ 1750
C) ₹ 1705 C) ₹ 1705
D) ₹ 10750 D) ₹ 10750

Three coins are tossed and the number of ‘heads’ is recorded. Which of the following lists is a sample space for this experiment?

1 Mark(s)

Your Answer:

A) {1, 2, 3} A) {1, 2, 3}
B) {0, 1, 2} B) {0, 1, 2}
C) {0, 1, 2, 3} C) {0, 1, 2, 3}
D) {0, 1, 2, 3, 4} D) {0, 1, 2, 3, 4}

Evaluating Your Answers

Algebra Mock Test 4 : Question 1 of 70