Geometry Mock Test 10 - Online MCQ Exam

Considering the pattern (2 + 2)²⁄2 = 8, (4 + 2)²⁄2 = 18, (6 + 2)²⁄2 = 32, (8 + 2)²⁄2 = 50, (10 + 2)²⁄2 = 72, the 7th line in the pattern will be:

1 Mark(s)

Your Answer:

(14 + 2)²⁄2 = 128 (14 + 2)²⁄2 = 128
(16 + 2)²⁄2 = 162 (16 + 2)²⁄2 = 162
(18 + 2)²⁄2 = 200 (18 + 2)²⁄2 = 200
(12 + 2)²⁄2 = 98 (12 + 2)²⁄2 = 98

A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.

1 Mark(s)

Your Answer:

Rs.2520 Rs.2520
Rs.3120 Rs.3120
Rs.3320 Rs.3320
Rs.2760 Rs.2760
None of these None of these

The length of a rope by which a cow must be tethered in order that she may be able to graze an area of 9856 sq.m is:________?

1 Mark(s)

Your Answer:

56m 56m
64m 64m
88m 88m
168m 168m

An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.

1 Mark(s)

Your Answer:

4 : 3 4 : 3
8 : 7 8 : 7
4 : 1 4 : 1
6 : 5 6 : 5

If $2x + 3 = 11$, find $x$

1 Mark(s)

Your Answer:

3 3
5 5
6 6
4 4

The semi-perimeter of a cyclic quadrilateral with sides 9 cm, 11 cm, 12 cm and 10 cm is

1 Mark(s)

Your Answer:

A) 20 cm A) 20 cm
B) 21 cm B) 21 cm
C) 10.5 cm C) 10.5 cm
D) 22 cm D) 22 cm

A women is 4 times as old as her daughter. In 12 years time, the sum of their ages will be 89. The age of women when her daughter was born is:

1 Mark(s)

Your Answer:

35 years 35 years
43 years 43 years
39 years 39 years
41 years 41 years

P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?

1 Mark(s)

Your Answer:

8/15 8/15
7/15 7/15
11/15 11/15
2/11 2/11

A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?

1 Mark(s)

Your Answer:

Rs.900 Rs.900
Rs.875 Rs.875
Rs.850 Rs.850
Rs.860 Rs.860

Candidates in a competitive examination consisted of 60% men and 40% women 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful? Which of the following statements is correct?

1 Mark(s)

Your Answer:

Success rate is higher for women Success rate is higher for women
Overall success rate is below 50% Overall success rate is below 50%
More men cleared the examination than women
Both ‘A’ and ‘B’ Both ‘A’ and ‘B’

The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?

1 Mark(s)

Your Answer:

10 kmph 10 kmph
21 kmph 21 kmph
8 kmph 8 kmph
12 kmph 12 kmph

The value of the determinant $\left|\begin{array}{ccc} \alpha & \beta & \gamma \\ \alpha^{2} & \beta^{2} & \gamma^{2} \\ \beta+\gamma & \gamma+\alpha & \alpha+\beta \end{array}\right|=$

1 Mark(s)

Your Answer:

A) (α + β)(β + γ)(γ + α) A) (α + β)(β + γ)(γ + α)
B) (α – β)(β – γ)(γ – α)(α + β + γ)
C) (α + β + γ) 2 (α – β – γ) 2
D) αβγ (α + β + γ) (α – β)(β – γ)(γ – α)(α + β + γ)

If an algebraic expression is exactly divisible by two or more expressions, then the expression is said to be:

1 Mark(s)

Your Answer:

rational expression rational expression
irrational expression irrational expression
common multiple common multiple
second expression second expression

All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?

1 Mark(s)

Your Answer:

648 648
888 888
928 928
1184 1184

A invested some money in 10% stock at 96. If B wants to invest in an equality good 12% stock, he must purchase a stock worth of___________?

1 Mark(s)

Your Answer:

Rs.50 Rs.50
Rs.105 Rs.105
Rs.115.20 Rs.115.20
Rs.125.40 Rs.125.40

On the Cartesian plane, the x-axis is also known as:

1 Mark(s)

Your Answer:

horizontal axis horizontal axis
vertical axis vertical axis
point coordinate point coordinate
function coordinate function coordinate

If you are facing South and turn through a straight angle in which direction will you face now?

1 Mark(s)

Your Answer:

A) South A) South
B) North B) North
C) East C) East
D) West D) West

4 $\frac{4}{9}$ + 5 is equal to

1 Mark(s)

Your Answer:

A) $\frac{8}{9}$ A) $\frac{8}{9}$
B) $\frac{6}{9}$ B) $\frac{6}{9}$
C) $\frac{4}{9}$ C) $\frac{4}{9}$
D) $\frac{7}{9}$ (\frac{8}{9}\) D) $\frac{7}{9}$ (\frac{8}{9}\)

The correct value of 1.6743 up to three significant figures is:

1 Mark(s)

Your Answer:

3.6746 3.6746
2.0001 2.0001
1.674 1.674
1.67 1.67

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

1 Mark(s)

Your Answer:

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

A recipe uses 4 cups of sugar to make 20 sweets. How many cups of sugar are needed to make 50 sweets?

1 Mark(s)

Your Answer:

A) 8 A) 8
B) 10 B) 10
C) 12 C) 12
D) 6 D) 6

Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x² + 8x + 4 = 0?

1 Mark(s)

Your Answer:

15 15
14 14
24 24
26 26

According to theorem of Invertendo, if a : b = c : d then:

1 Mark(s)

Your Answer:

b : a = d : c b : a = d : c
a : c = b : d a : c = b : d
a : d = b : c a : d = b : c
a + b = c + d a + b = c + d

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

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}\)

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

If 45 2 = 2025 then 46 2 is equal to

1 Mark(s)

Your Answer:

A) 2025 + 46 A) 2025 + 46
B) 2025 + 46 2 B) 2025 + 46 2
C) 2025 + 23 2 C) 2025 + 23 2
D) 2025 + 91 D) 2025 + 91

What will be the value of 3cos800.cosec100 + 2cos590.cosec310?

1 Mark(s)

Your Answer:

3 3
1 1
5 5
None of the above None of the above

The difference of {1, 2, 3, 6, 8} and {1, 2, 5, 6} is the set ____________

1 Mark(s)

Your Answer:

{1, 3} {1, 3}
{5, 6, 8} {5, 6, 8}
{3, 8} {3, 8}
{2, 6, 5} {2, 6, 5}

The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base ?

1 Mark(s)

Your Answer:

1.4 m 1.4 m
2.8 m 2.8 m
14 m 14 m
None of these None of these

In the given figure, if ∆ABC is equilateral, then ∠BDC =

1 Mark(s)

Your Answer:

A) 120° A) 120°
B) 60° B) 60°
C) 30° C) 30°
D) 45° D) 45°

A mixture contains alcohol and water in ratio \$5:3$. If \$16$ liters of water is added, the ratio becomes \$5:7$. Find the initial quantity of alcohol.

1 Mark(s)

Your Answer:

15 liters 15 liters
18 liters 18 liters
22 liters 22 liters
20 liters 20 liters

In the following figure, x= ……………….

1 Mark(s)

Your Answer:

A) 110° A) 110°
B) 70° B) 70°
C) 90° C) 90°
D) 55° D) 55°

A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?

1 Mark(s)

Your Answer:

7 years 7 years
10 years 10 years
15 years 15 years
20 years 20 years

In algebra, we use alphabets such as x, y, z to denote:

1 Mark(s)

Your Answer:

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

The identity element for the binary operation * defined on Q – {0} as a * b = $\frac{a b}{2}$ ∀ a, b ∈ Q – {0) is

1 Mark(s)

Your Answer:

A) 1 A) 1
B) 0 B) 0
C) 2 C) 2
D) None of these D) None of these

The monthly incomes of A and B are in the ratio 5 : 2. B’s monthly income is 12% more than C’s monthly income. If C’s monthly income is Rs. 15000, then find the annual income of A?

1 Mark(s)

Your Answer:

Rs. 420000 Rs. 420000
Rs. 180000 Rs. 180000
Rs. 201600 Rs. 201600
Rs. 504000 Rs. 504000
None of these None of these

When x is replaced by 1 ⁄ x and the given equation remains unchanged then it is said to be:

1 Mark(s)

Your Answer:

linear equation linear equation
radical equation radical equation
quadratic equation quadratic equation
reciprocal equation reciprocal equation

If $A=\left[\begin{array}{cc} \cos x & -\sin x \\ \sin x & \cos x \end{array}\right]$, find AAT.

1 Mark(s)

Your Answer:

A) Zero Matrix A) Zero Matrix
B) I 2 B) I 2
C) $\left[\begin{array}{ll} 1 & 1 \\ 1 & 1 \end{array}\right]$
D) None of these D) None of these

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

25 * 25 / 25 + 15 * 40 = ________?

1 Mark(s)

Your Answer:

125 125
525 525
25/64 25/64
625 625

Which of the following is not a sum of consecutive numbers?

1 Mark(s)

Your Answer:

A) 12 A) 12
B) 16 B) 16
C) 9 C) 9
D) 11 D) 11

A number is divisible by 5, if it has

1 Mark(s)

Your Answer:

A) Only 0 in its ones place A) Only 0 in its ones place
B) 0 in its tens place B) 0 in its tens place
C) 0 or 5 in its ones place C) 0 or 5 in its ones place
D) 5 in its ones place D) 5 in its ones place

In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?

1 Mark(s)

Your Answer:

80% 80%
20% 20%
40% 40%
50% 50%
None of these None of these

According to Distributive Law of Multiplication over Addition, the a x ( b + c ) must be equal to:

1 Mark(s)

Your Answer:

a x c − b x c a x c − b x c
a − b x c − b a − b x c − b
a x b + a x c a x b + a x c
a x b − a x c a x b − a x c

60% of a number is added to 120, the result is the same number. Find the number?

1 Mark(s)

Your Answer:

300 300
200 200
400 400
500 500

The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is_______?

1 Mark(s)

Your Answer:

529 sq m 529 sq m
240 sq m 240 sq m
260 sq m 260 sq m
480 sq m 480 sq m

Assertion (A) Monika and Mayank started a food cart business near their school. Monika invested ₹ 75,000 and Mayank invested ₹ 25,000. At the end of the first month, they gained a profit of ₹ 4,000. They decided that they would share the profit in the same ratio as that of their investment. The share of Monika is ₹ 1000. Reason (R) If x is divided into two parts in the ratio m: n then the quantity of the first part is m × $\frac{x}{m+n}$ and the quantity of the second part is n × $\frac{x}{m+n}$.

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.

Evaluating Your Answers

Geometry Mock Test 10 : Question 1 of 48