IMO - Mock Test

Result

IMO - Mock Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

Find out the next term.

2a, 3c, 5e, ?

A
6f

B
7g

C
7f

D
6g

Solution

Here, the numbers contain a series of prime numbers, and the letters contain a series starting with 'a' and skipping one letter alternatively.
Therefore, the next number after 5 is '7', and the next letter after 'e' is 'g'.
Question 2
1 / -0

What will come in place of the question mark ?

5 6 7

25 ? 49

125 216 343

A
36

B
12

C
49

D
35

Solution

This pattern is based on the squares and cubes of the respective numbers of the 1^st row.
Square of 6 is 36.
Question 3
1 / -0

What will come next in the series ?

AD, EH, IL, ?

A
MP

B
MN

C
MO

D
NO

Solution

Pattern that is being followed is 1, 4; 5, 8; 9,12; 13, 16 numbered letters in the English alphabet.
Question 4
1 / -0

Complete the series:

1, 4, 9, ___, 25, ___, 49

A
16, 36

B
64, 216

C
15, 25

D
17, 37

Solution

Starting from 1 till 7 each number is squared.
So square of 4 is 16 and 6 is 36 which were missing.
Question 5
1 / -0

Which number will replace the question mark?

2 - 3
5 - 9
7 - 13
10 - 19
13 - ?

A
25

B
23

C
21

D
27

Solution

2 - 3
5 - 9
7 - 13
10 - 19
13 - ?
3 = 2 × 2 - 1
Similarly 9 = 5 × 2 - 1
Therefore, number is 13 × 2 - 1 = 26 - 1 = 25
Question 6
1 / -0

What is the absolute value of | - 5| ?

A
5

B
- 5

C
- 1/5

D
1/5

Solution

The absolute value of | - 5| is 5 as negative symbol gets removed.
Question 7
1 / -0

What is the product of 2.7, 9.86 and 3.07?

A
83.72954

B
81.72954

C
15.63

D
26.622

Solution

2.7 x 9.86 x 3.07

26.622 x 3.07 = 81.72954
Question 8
1 / -0

Which expression represents the sum of x and 78?

A
78x

B
78 - x

C
78/x

D
78 + x

Solution

The sum of x and 78 would be termed as 78 + x
Question 9
1 / -0

Find the measure of complementary angle of 38^o.

A
52^o

B
42^o

C
62^o

D
38^o

Solution

The sum of complementary angles = 90^o
So, measure of complementary angle = 90^o - 38^o = 52^o
Question 10
1 / -0

Solve the expression:

28 - 3(49 ÷ 7) + 2⁴ - 17

A
31

B
28

C
6

D
26

Solution

28 - 3(49 ÷ 7) + 2⁴ - 17
28 - 3 x 7 + 16 - 17
28 - 21 + 16 - 17
7 + 16 - 17 = 23 - 17 = 6
Question 11
1 / -0

Find the range of the data that is given below:

23, 12, 34, 14, 45, 17, 9

A
7

B
35

C
36

D
45

Solution

To find the range, first arrange numbers from smallest to largest:
23, 12, 34, 14, 45, 17, 9
Sorted:
9, 12, 14, 17, 23, 34, 45
Now find the difference between the smallest and the largest number:
45 – 9 = 36
Question 12
1 / -0

Find the volume of triangular pyramid whose area of base is 9 m² and height is 13 m.

A
39 m³

B
117 m³

C
1.44 m³

D
23 m³

Solution

Volume of triangular pyramid =1/3 x base x height
= 1/3 x 9 × 13 m³
= 39 m³
Question 13
1 / -0

Solve the following expression:

7 + ( 2³+ 2²)(8 + 2²).

A
151

B
1080

C
144

D
1008

Solution

7 + ( 2³+ 2²)(8 + 2²) = 7 + (8 + 4)(8 + 4) = 7 + 12 × 12 = 7 + 144 = 151
Question 14
1 / -0

Which expression represents that 45 is divided by 'a' ?

A
45/a

B
a/45

C
45 a

D
45 + a

Solution

45 divided by 'a' is represented by 45/a
Question 15
1 / -0

Find the measure of supplementary angle of 105^o.

A
75^o

B
85^o

C
65^o

D
255^o

Solution

The sum of supplementary angles = 180^o
So, measure of supplementary angle of 105^o= 180 - 105^o= 75^o
Question 16
1 / -0

The exterior angle theorem states that the measure of an exterior angle of a triangle is ________.

A
equal to the sum of the 2 opposite interior angles

B
smaller than either of the 2 opposite interior angles

C
equal to the smaller of the 2 interior opposite angles

D
greater than either of the 2 opposite interior angles

Solution

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
Question 17
1 / -0

Which of the following statements is/are true for rational numbers?

(I) Addition is commutative.
(II) Subtraction is commutative.

A
Both (I) and (II)

B
Neither (I) nor (II)

C
Only (I)

D
Only (II)
Question 18
1 / -0

In a triangular pyramid, how many vertices, edges and faces are there?

A
6 edges, 4 vertices and 4 faces

B
4 vertices, 4 edges, 4 faces

C
6 faces, 4 edges and 4 vertices

D
1 face, 4 edges and 4 vertices

Solution

A triangular pyramid has 6 edges, 4 vertices and 4 faces.
Question 19
1 / -0

There are 50 boys in a class, girls are one fifth of the total number of boys. Find the total number of students.

A
60

B
50

C
80

D
75

Solution

Let the number of girls be x
x = 1/5 X number of boys
x = 10
Total students = Number of girls + Number of boys = 10 + 50 = 60
Total number of students is 60.
Question 20
1 / -0

The salary of Karan and Aman add up to Rs. 60,000. When salary of Karan is doubled and subtracted from Aman's salary, the amount that is left is the same as Karan's salary. What will be the Karan's salary after a 50% increment?

A
Rs. 22500

B
Rs. 25000

C
Rs. 15000

D
Rs. 22050

Solution

Let x = Karan's salary and y = Aman's salary
we get
x + y = 60,000
y - 2x = x
y = 3x
Solving, we get
60000 = 4x
x = 15000 = Karan's salary
50% increment will be 7500
After increment, salary of Karan = 22500
Question 21
1 / -0

The sum of the profits of three companies A, B and C is Rs. 11,51,934. If the profits for the year are in the ratio of 6 : 7 : 8. Find the profit of the company C.

A
Rs. 3,29,124

B
Rs. 4,38,832

C
Rs. 3,83,978

D
Rs. 2,36,854

Solution

Let the profit of the company be x
According to the question
6x + 7x + 8x = Rs. 11,51,934
21x = Rs. 11,51,934
x = Rs. 54 854
Profit of company C is 8x = 8 × Rs. 54854 = Rs. 4,38,832
Question 22
1 / -0

Which of the following cannot be the length of the third side, if two sides of a triangle are 3.2 cm and 4.4 cm?

A
1.4 cm

B
1.8 cm

C
2.4 cm

D
7.6 cm

Solution

The third side cannot be less than the difference between the two sides and cannot be greater than the sum of the two sides.
∴ Third side > (4.4 – 3.2) cm
Third side < (4.4 + 3.2) cm
7.6 cm > Third side > 1.2 cm
So, any value between 1.2 cm and 7.6 cm can be the length of the third side.

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IMO - Mock Test - 2

Result

IMO - Mock Test - 2

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SHARING IS CARING

Question 1

6f

7g

7f

6g

Solution

Question 2

36

12

49

35

Solution

Question 3

MP

MN

MO

NO

Solution

Question 4

16, 36

64, 216

15, 25

17, 37

Solution

Question 5

25

23

21

27

Solution

Question 6

5

- 5

- 1/5

1/5

Solution

Question 7

83.72954

81.72954

15.63

26.622

Solution

Question 8

78x

78 - x

78/x

78 + x

Solution

Question 9

52o

42o

62o

38o

Solution

Question 10

31

28

6

26

Solution

Question 11

7

35

36

45

Solution

Question 12

39 m3

117 m3

1.44 m3

23 m3

Solution

52^o

42^o

62^o

38^o

39 m³

117 m³

1.44 m³

23 m³

75^o

85^o

65^o

255^o