Geometry Mock Test 4 - Online MCQ Exam

In an ordered pair of Cartesian plane (a, b), the 'a' is known as:

1 Mark(s)

Your Answer:

y-coordinate y-coordinate
abscissa abscissa
x-coordinate x-coordinate
both b and c both b and c

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

A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?

1 Mark(s)

Your Answer:

24.5 24.5
28.5 28.5
30 30
Data inadequate Data inadequate
None of these None of these

What is \$0.25$ as a fraction?

1 Mark(s)

Your Answer:

$\frac{1}{5}$ $\frac{1}{5}$
$\frac{1}{4}$ $\frac{1}{4}$
$\frac{1}{3}$ $\frac{1}{3}$
$\frac{2}{5}$ $\frac{2}{5}$

Which of the following numbers can not be a perfect square?

1 Mark(s)

Your Answer:

A) 2500 A) 2500
B) 1600 B) 1600
C) 961 C) 961
D) 468 D) 468

Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?

1 Mark(s)

Your Answer:

55 years 55 years
56 years 56 years
58 years 58 years
Data inadequate Data inadequate

Two sides of a △ are 5 cm and 7 cm. Third side of this ∆ must be greater than :

1 Mark(s)

Your Answer:

A) 5 cm A) 5 cm
B) 2 cm B) 2 cm
C) 7 cm C) 7 cm
D) 12 cm D) 12 cm

The perimeter of a rectangular piece of cardboard is 6 m. Its breadth is 1 m. Find its length.

1 Mark(s)

Your Answer:

A) 1 m A) 1 m
B) 2 m B) 2 m
C) 3 m C) 3 m
D) 6 m D) 6 m

Bilal can do a work in 15 days and Jalal in 12 days. If they work on it together for 4 days, the fraction of work that is left is________?

1 Mark(s)

Your Answer:

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

Assertion (A) Sum of 3 even numbers and 4 odd numbers is odd. Reason (R) Sum of two even numbers is even and sum of two odd numbers is also even.

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.

LCM of two numbers is 138. But their (Greatest common divisor) GCD is 23. The numbers are in a ratio 1:6. Which is the largest number amongst the two?

1 Mark(s)

Your Answer:

46 46
138 138
69 69
23 23

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

The sequence of cubes is

1 Mark(s)

Your Answer:

A) 1,8,27,64,… A) 1,8,27,64,…
B) 1,4,9, 16,… B) 1,4,9, 16,…
C) 2,4, 6, 8,… C) 2,4, 6, 8,…
D) 1,3, 5,7,… D) 1,3, 5,7,…

If two numbers are divisible by 9, their sum is always divisible by

1 Mark(s)

Your Answer:

A) 5 A) 5
B) 7 B) 7
C) 4 C) 4
D) 9 D) 9

11 ÷ 11 + 11 × 11 =

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Your Answer:

A) 1 A) 1
B) 10 B) 10
C) 122 C) 122
D) 110 D) 110

LCM of 18 and 27 is_________?

1 Mark(s)

Your Answer:

85 85
89 89
54 54
91 91

In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?

1 Mark(s)

Your Answer:

25 25
13 13
40 40
30 30

Area of a rectangle =

1 Mark(s)

Your Answer:

A) Length × Breadth A) Length × Breadth
B) Length + Breadth B) Length + Breadth
C) 2 × (Length + Breadth) C) 2 × (Length + Breadth)
D) 2 × (Length × Breadth). D) 2 × (Length × Breadth).

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.

The mean of the squared deviations of some observations from their arithmetic mean is called:

1 Mark(s)

Your Answer:

standard deviation standard deviation
variation variation
median median
mode mode

A set with no element in it is known as:

1 Mark(s)

Your Answer:

subset subset
singleton set singleton set
power set power set
empty set empty set

Which expression always gives an even number?

1 Mark(s)

Your Answer:

A) 4a + 3b A) 4a + 3b
B) a 2 + 1 B) a 2 + 1
C) 3x + 5 y C) 3x + 5 y
D) 2x + 2y D) 2x + 2y

The point P in Cartesian plane is located by an ordered pair called:

1 Mark(s)

Your Answer:

(c, b, a) (c, b, a)
(a, b, c) (a, b, c)
(a, b) (a, b)
(b, a) (b, a)

If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?

1 Mark(s)

Your Answer:

4:3 4:3
16:9 16:9
64:27 64:27
3:4 3:4

Which calculator uses only the +1000 button?

1 Mark(s)

Your Answer:

A) Tedious Tens A) Tedious Tens
B) Thoughtful Thousands B) Thoughtful Thousands
C) Creative Chitti C) Creative Chitti
D) Systematic Sippy D) Systematic Sippy

Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is_______?

1 Mark(s)

Your Answer:

6 hrs 6 hrs
6 2/3 hrs 6 2/3 hrs
7 hrs 7 hrs
7 1/2 hrs 7 1/2 hrs

The decimal form of $\frac{56}{1000}$ is:

1 Mark(s)

Your Answer:

A) 0.56 A) 0.56
B) 0.056 B) 0.056
C) 0.0056 C) 0.0056
D) 5.6 056 D) 5.6 056

In an angle, the common end point is known as:

1 Mark(s)

Your Answer:

vertex vertex
point of intersection point of intersection
initial side initial side
terminal side terminal side

A lends Rs. 1500 to B and a certain sum to C at the same time at 8% per annum simple interest. If after 4 years, A altogether receives Rs. 1400 as interest from B and C, then the sum lent to C is________?

1 Mark(s)

Your Answer:

Rs.2875 Rs.2875
Rs.1885 Rs.1885
Rs.2245 Rs.2245
Rs.2615 Rs.2615

A runs 1 2/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

1 Mark(s)

Your Answer:

200 m 200 m
300 m 300 m
270 m 270 m
160 m 160 m

If shop keeper marks price of a good at $150 and buyer gets discount of 20% then the selling price of good is:

1 Mark(s)

Your Answer:

$120 $120
$130 $130
$110 $110
$100 $100

The integer ‘5 units to the right of 0 on the number line is

1 Mark(s)

Your Answer:

A) +5 A) +5
B) -5 B) -5
C) +4 C) +4
D) -4 D) -4

Find the mean proportion between 5 and 45.

1 Mark(s)

Your Answer:

9 9
15 15
25 25
50 50

Considering the following pattern 2 x (2 + 2) = 8, 3 x (3 + 2) = 15, 4 x (4 + 2) = 24, 5 x (5 + 2) = 35, the 7th line in the pattern will be:

1 Mark(s)

Your Answer:

8 x (8 + 2) = 80 8 x (8 + 2) = 80
9 x (9 + 2) = 99 9 x (9 + 2) = 99
8 x (8 - 2) = 48 8 x (8 - 2) = 48
8 x (8 + 4) = 96 8 x (8 + 4) = 96

Area of a triangle is equal to

1 Mark(s)

Your Answer:

A) $\frac{1}{2}$ × Base × Corresponding altitude
B) $\frac{1}{4}$ × Base × Corresponding altitude
C) $\frac{1}{3}$ × Base × Corresponding altitude
D) Base × Corresponding altitude (\frac{1}{2}\) × Base × Corresponding altitude

If $\log_{10} 2 = 0.3010$ and $\log_{10} 3 = 0.4771$, find $\log_{10} 0.0024$

1 Mark(s)

Your Answer:

$-2.5199$ $-2.5199$
$-2.6199$ $-2.6199$
$-2.7199$ $-2.7199$
$-2.8199$ $-2.8199$

40% of Raees marks is equal to 20% of Rahim’s marks which percent is equal to 30% of Rehman’s marks. If Rehman’s marks is 80, then find the average marks of Raees and Rahim?

1 Mark(s)

Your Answer:

60 60
70 70
80 80
90 90
None of these None of these

The total non-square numbers between the squares of 30 and 31 are

1 Mark(s)

Your Answer:

A) 60 A) 60
B) 61 B) 61
C) 62 C) 62
D) 63 D) 63

What will be the probability of losing a game if the winning probability is 0.3?

1 Mark(s)

Your Answer:

0.5 0.5
0.6 0.6
0.7 0.7
0.8 0.8

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

Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?

1 Mark(s)

Your Answer:

1500 1500
1800 1800
2100 2100
1950 1950

By solving equation 6a⁄2 - 4a⁄3 - 2a⁄4 -4 =0, the value of 'a' will be:

1 Mark(s)

Your Answer:

3 3⁄11 3 3⁄11
2 3⁄9 2 3⁄9
3 3⁄7 3 3⁄7
4 3⁄13 4 3⁄13

8 × 8 – 8 =?

1 Mark(s)

Your Answer:

A) o A) o
B) 56 B) 56
C) 1 C) 1
D) 64 D) 64

A cistern has a leak which can empty it in \$12$ hours. A tap is opened which fills at \$10$ liters per hour and the cistern is now emptied in \$20$ hours. Find the capacity of the cistern.

1 Mark(s)

Your Answer:

250 liters 250 liters
300 liters 300 liters
350 liters 350 liters
400 liters 400 liters

The value of $\frac{36}{9}$ is:

1 Mark(s)

Your Answer:

3 3
5 5
4 4
6 6

The solution set of equation x² - 4 = 0 is:

1 Mark(s)

Your Answer:

{±4} {±4}
{4} {4}
{±2} {±2}
{2} {2}

The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is :________?

1 Mark(s)

Your Answer:

30° 30°
45° 45°
60° 60°
90° 90°

A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?

1 Mark(s)

Your Answer:

Rs.250 Rs.250
Rs.225 Rs.225
Rs.275 Rs.275
Rs.200 Rs.200

Find the LCM of \$16$ and \$24$

1 Mark(s)

Your Answer:

32 32
40 40
48 48
56 56

Evaluating Your Answers

Geometry Mock Test 4 : Question 1 of 49