IMO - Mock Test

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IMO - Mock Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

Which number will come next in the sequence?

A2, D3, G5, J7, __

A
M9

B
L10

C
M11

D
N13

Solution

In every step we skip 2 letters and write the next letter. Eg: (A) (Skip B and C) (D). Along with it, prime numbers are written in sequence i.e 2,3,5,7,11, and so on.
Question 2
1 / -0

Which letter group will replace the question mark in the series CDF, IJL, OPR, (?)?

A
TUV

B
UVX

C
TUW

D
VWY

Solution

C - D - gap of one letter - F
After gap of 2 letters
I - J - gap of one letter - L
After gap of 2 letters
O - P - gap of one letter - R
Question 3
1 / -0

Find the next number in the series

5, 25, 6, 36 7, __

A
64

B
49

C
9

D
8

Solution

The next number in the series is square of the number preceding it.
Square of 7 is 49
Student may get confused that he has to write next number to 7, which is 8
Question 4
1 / -0

If the letters of the word SWITZERLAND are reversed, then what will be the 3^rd letter to the right from the center?

A
A

B
I

C
E

D
L

Solution

Reverse order of the given letter : DNALREZTIWS.
3^rdletter to the right from the center is I
Question 5
1 / -0

Find the next number in the series:

81, 67, 57, 51, ___

A
35

B
49

C
51

D
65

Solution

81 – 14 = 67
67 – 10 = 57
57 – 6 = 51
51 – 2 = 49
Question 6
1 / -0

Find the next number in the series

3X, 6U, 9R, 12O, ___

A
15L

B
15O

C
18O

D
18K

Solution

Number Series: 3, 6, 9, 12, 15, ...
Letters are counted backwards, corresponding to the number series.
Question 7
1 / -0

Find which operation will fit in the following equation:

8 (__) 8 = 4 (__) 12

A
+, -

B
-, -

C
+, +

D
-, +

Solution

8 + 8 = 4 + 12
Question 8
1 / -0

((-5)²)⁴can be written as

A
(5)⁸

B
(– 5)^–2

C
– (5)⁸

D
(– 5)⁶

Solution

((– 5)²)⁴ = (– 5)^2x4 = (– 5)⁸=(5)⁸
Question 9
1 / -0

From the given options, choose the one which shows the product of 12.5 g and 2.5.

A
15 g

B
31.25 g

C
312.5 g

D
None of these

Solution

Product of 12.5 g and 2.5 = 12.5 g × 2.5 = 31.25 g
Question 10
1 / -0

Write the pair of integers whose sum is - 9.

A
(- 10) + (+ 1)

B
(+ 10) - (+ 1)

C
(- 10 ) + (- 1)

D
(- 11) - (- 1)

Solution

(- 10) +(+ 1) = - 10 + 1 = - 9
Question 11
1 / -0

Which out of the following represents the product of 81×9 ?

A
3⁶

B
3⁵

C
3⁴

D
3³

Solution

81 = 3⁴ and 9 = 3²
So, 3⁴ x 3² = 3⁶
Question 12
1 / -0

Two angles are supplementary. If larger angle is twice the smaller angle, what is the measure of the larger angle?

A
120^o

B
140^o

C
110^o

D
70^o

Solution

Let the smaller angle be x
So, larger angle 2x
Since angles are supplementary,
So,
x + 2x = 180^o
x = 60^o
Larger angle = 2 × 60 = 120^o
Question 13
1 / -0

If one of the angles of the two congruent angles has a measure of 80°, then what is the measurement of 2^nd angle?

A
0°

B
60°

C
80°

D
90°

Solution

When two objects are exactly same, they are called congruent. Two angles are congruent if their measurement is equal.
Question 14
1 / -0

Check if the below mentioned statements are true or false.

Statement 1 - A Rational Number is a real number that can be written as a simple fraction.
Statement 2 - 1.5 is a rational number because 1.5 = 3/2

A
Both are true

B
Both are false

C
Statement 1 is true and 2 is false

D
Statement 1 is false and 2 is true

Solution

Statement 1 is the definition of rational numbers and statement 2 is an example of rational numbers.
Question 15
1 / -0

What is the volume of a cuboid with dimensions 12 cm x 5 cm x 6 cm?

A
360 cm³

B
324 cm³

C
315 cm³

D
168 cm³

Solution

Volume of a cuboid = (12 cm x 5 cm x 6 cm) = 360 cm³
Question 16
1 / -0

The age of a crocodile is 3 times that of a horse. An elephant is 3 years elder to the horse. If the sum of their ages is 143 years, what is the age of the elephant?

A
28 years

B
31 years

C
42 years

D
84 years

Solution

The age of horse be x
age of crocodile be 3x
age of elephant be x + 3
sum of their ages = x + 3x + x + 3 = 143 years
5x + 3 = 143 years
5x = 140 years
x = 28 years
the age of the elephant is (28 + 3) years = 31 years
Question 17
1 / -0

There are 5 buildings in an area. Their heights are 35 feet, 48 feet, 28 feet, 36 feet and 53 feet. Find the mean height of the buildings.

A
40 feet

B
36 feet

C
53 feet

D
28 feet

Solution

The mean is the average of all the numbers
so mean height = (35 + 48 + 28 + 36 + 53)/5 = 200/5 = 40 feet
Question 18
1 / -0

In a pack, green balls are more than red balls. If there are 42 green balls in a pack and k number of red balls in a pack. Raj buys 3 packs of balls. How many more green balls are there with Raj(Express in an equation)?

A
3(42 – k)

B
3(42 + k)

C
3(42 k)

D
42/k

Solution

Number of green balls more than the number of red balls in 1 pack = (42 - k).
So, number of green balls more than the number of red balls in 3 packs = 3(42 - k).
Question 19
1 / -0

Adam has 6 white balls, 13 blue balls and 24 red balls in the bag. He takes out one from it. What is the probability that it is a blue ball?

A
13/43

B
1/43

C
13

D
13/30

Solution

total number of events = total number of balls = 43.
favourable event = number of blue balls = 13
required probability = 13/43
Question 20
1 / -0

Aman went for shopping with 30 rupees with her. She bought candies worth 7 rupees 45 paise and cookies worth 12 rupees 55 paise. How much money is she left with?

A
Rs. 10

B
Rs. 11.97

C
Rs. 19.87

D
Rs. 20

Solution

Cost of candies = 7 rupees 45 paise = Rs. 7.45
Cost of cookies = 12 rupees 55 paise = Rs. 12.55
Total money spent = Rs. (12.55 + 7.45) =Rs. (19 + 1) = Rs. 20
Total amount she had = Rs. 30
Money left with her = Rs. (30 - 20) = Rs. 10

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Re-Attempt Weekly Quiz Competition

IMO - Mock Test - 1

Result

IMO - Mock Test - 1

Score

-

Rank

-

SHARING IS CARING

Question 1

M9

L10

M11

N13

Solution

Question 2

TUV

UVX

TUW

VWY

Solution

Question 3

64

49

9

8

Solution

Question 4

A

I

E

L

Solution

Question 5

35

49

51

65

Solution

Question 6

15L

15O

18O

18K

Solution

Question 7

+, -

-, -

+, +

-, +

Solution

Question 8

(5)8

(– 5)–2

– (5)8

(– 5)6

Solution

Question 9

15 g

31.25 g

312.5 g

None of these

Solution

Question 10

(- 10) + (+ 1)

(+ 10) - (+ 1)

(- 10 ) + (- 1)

(- 11) - (- 1)

Solution

Question 11

36

35

34

33

Solution

Question 12

120o

140o

110o

70o

Solution

(5)⁸

(– 5)^–2

– (5)⁸

(– 5)⁶

3⁶

3⁵

3⁴

3³

120^o

140^o

110^o

70^o

360 cm³

324 cm³

315 cm³

168 cm³