IMO - Mock Test

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IMO - Mock Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

Find the missing term.

ADG, JMP, _______, BEH, KNQ

A
SVZ

B
SUY

C
SUW

D
SVY

Solution

ADG, JMP, SVY, BEH, KNQ

SVY.

ADG are in alphabetical order with two letters skipped in between each segment.
Question 2
1 / -0

What is the next number in the following series?

7, 9, 14, 22, 33, ___

A
45

B
46

C
47

D
48

Solution

The given series is + 2, + 5, + 8, + 11, + 14

7
7 + 2 = 9
9 + 5 = 14
14 + 8 = 22
22 + 11 = 33
33 + 14 = 47
Question 3
1 / -0

Find the missing number in the given series.

24, 15, 28, ?, 32, 23

A
17

B
18

C
19

D
20

Solution

The given series is - 9, + 13, - 9, + 13

24, 24 - 9 = 15, 15 + 13 = 28, 28 - 9 = 19, 19 + 13 = 32, 32 - 9 = 23
Question 4
1 / -0

If MATCH is coded as HCOEC, then how is SENSE coded in the same code?

A
ESNES

B
NGIUZ

C
GFDSA

D
VCDEF

Solution

M - 5 = H
A + 2 = C
T - 5 = O
C + 2 = E
H - 5 = C

Similarly
S - 5 = N
E + 2 = G
N - 5 = I
S + 2 = U
E - 5 = Z
Question 5
1 / -0

Rearrange the following letters to make a sensible word and select the category to which it belongs.

N P E A R O L A E

A
Vehicle

B
Building

C
Animal

D
Fruit

Solution

The letters given above can be rearranged to form AEROPLANE, which belongs to the category of vehicles.
Question 6
1 / -0

Fill in the blank.

PAH, QDI, ____ , SJK

A
RGJ

B
AFD

C
REJ

D
JKL

Solution

RGJIn the sequence the first and last letters increase by 1 and the middle letter increases by 3.
Question 7
1 / -0

If A is ÷, B is × , C is + and D is -, then which of the following statements is correct?

1. 1 C 7 D 4 B 2 A 4 = 6
2. 1 C 7 D 4 B 2 A 4 = 10
3. 1 C 7 D 4 B 2 A 4 = 3
4. 1 C 7 D 4 B 2 A 4 = 16

A
Statement 1

B
Statement 3

C
Statement 2

D
Statement 4

Solution

1 C 7 D 4 B 2 A 4 = 1 + 7 – 4 × 2 ÷ 4 = 1 + 7 – 8 ÷ 4 = 1 + 7 – 2 = 6
Question 8
1 / -0

In the following question, there is a relationship between the number pair to the left of : : and the same relationship holds between the number pair to its right. One term is missing. One of the given options contains the missing term. Identify the correct option.

7 : 48 :: 5 : ?

A
26

B
25

C
24

D
23

Solution

7² – 1 = 49 – 1 = 48
5² – 1 = 25 – 1 = 24
Question 9
1 / -0

The weights in kg of 18 students of a class are: 42, 44, 48, 43, 44, 46, 39, 51, 48, 47, 46, 45, 46, 47, 48, 47, 41 and 47. Find the mode.

A
39

B
46

C
47

D
48

Solution

Mode = Value appearing the maximum number of times, which in this data set is 47.

39, 41, 42, 43, 44, 44, 45, 46, 46, 46, 47, 47, 47, 47, 48, 48, 48, 51
Question 10
1 / -0

If (64a²- 2b) = (8a + 2)(8a - 2), then the value of b is

A
2

B
1

C
8

D
4

Solution

Using the formula: a²- b²= (a + b)(a - b)
(64a²- 2b) = (8a + 2)(8a - 2)
64a² - 2b = (8a)² - 4
On comparing, we get
(8a)²= 64a²
4 = 2b
b = 2
Question 11
1 / -0

Five years ago, Ria's mother was five times as old as Ria was; and 3 years from now, she will be three times as old as Ria will be. Find out Ria's age after 3 years from now.

A
25 years

B
19 years

C
16 years

D
13

Solution

According to the question,
Let age of Ria's mother = x years
Let Ria's age = y years
According to the first statement in the question,
x - 5 = 5(y - 5)
x - 5 = 5y - 25
x - 5y = -20 ... (A)
According to the second statement in the question,
x + 3 = 3(y + 3)
x + 3 = 3y + 9
x - 3y = 6 ... (B)
(A) - (B),
y = 13
Ria's age after 3 years from now = 13 + 3 = 16 years
Question 12
1 / -0

Mohit is cycling in a rectangular field, whose perimeter is 150 m. Find the area of the rectangular field if the difference of length and breadth is 45 m.

A
5118.75 m²

B
900 m²

C
800 m²

D
550 m²

Solution

L – B = 45 ...(1)

Perimeter = 2(L + B) = 150

L + B = 75 ...(2)

Subtract (1) from (2).

B = 15, L = 60

Area of the field = (60 x 15) = 900 m²
Question 13
1 / -0

A garden is in the shape of a quadrilateral. The sides of this quadrilateral taken in order are 17 and 13 m, and a diagonal of 21.4 m. The angles measure 90^oeach. What will be the area of the garden ?

A
40 m²

B
49 m²

C
60 m²

D
221 m²

Solution

The quadrilateral is a rectangle. So, the area of the rectangle is equal to length multiplied by width.

= 17 x 13 = 221 m²
Question 14
1 / -0

Amit has 18 bottles, which cost Rs. 100. How many bottles would he sell to get a profit of 20% for the same amount of money ?

A
14

B
15

C
16

D
17

Solution

C.P. of 18 bottles = Rs. 100
Selling price = 100 × 1.2 = Rs. 120
Number of bottles sold at a selling price of Rs. 120 = 18 bottles
Number of bottles sold at a selling price of Rs. 100 = 18/120 × 100 = 15 bottles
Question 15
1 / -0

The area of a parallelogram ABCD is 50 cm², where base = 5 cm. If the length of the base and the height are increased by 20% each, what will be the area of the new parallelogram?

A
56 cm²

B
58 cm²

C
72 cm²

D
75 cm²

Solution

Area of the parallelogram = bh

Area = 5 × h

50 = 5 × h

h = 10 cm

Hence, b = 5 cm and h = 10 cm

After increasing the lengths by 20%,

20% of 5 = 1 cm

20% of 10 cm = 2 cm

Therefore, area of the new parallelogram = 6 × 12 = 72 cm²
Question 16
1 / -0

The cost of 5 burgers and 7 cold drinks is Rs. 310, and the cost of 7 burgers and 5 cold drinks is Rs. 290. Find the cost of 2 cold drinks.

A
Rs. 30

B
Rs. 40

C
Rs. 60

D
Rs. 75

Solution

Let the cost of 1 burger be x and that of 1 cold drink be y.

5x + 7y = 310

7x + 5y = 290

7 × (5x +7y = 310) ..........I

5 × (7x + 5y = 290) .........II

35x + 49y = 2170

35x + 25y = 1450

After subtracting II from I, we get

y = 30 and x = 20

Cost of two cold drinks = 2 x 30 = Rs. 60
Question 17
1 / -0

What will be the total price of 15 shirts and 6 jackets, if the price of 12 shirts is equal to that of 4 jackets. The price of 18 shirts and 4 jackets together is Rs. 24,000.

A
Rs. 26,400

B
Rs. 27,000

C
Rs. 27,050

D
Rs. 27,500

Solution

Let the price of one shirt be 'X' and that of one jacket be 'Y'.

12X = 4Y

X = Y/3 ------(i)

Also, 18X + 4Y = 24000 -----(ii)

By putting the value of X from equation (i) in equation (ii),

6Y + 4Y = 24000

Y = 2400

So, price of one jacket = Rs. 2400

Price of one shirt = Rs. 800

So, total price of 15 shirts and 6 jackets

= [15 × 800 + 6 × 2400]

= 12000 + 14400 = Rs. 26,400
Question 18
1 / -0

√2 is a/an _______ number which is a/an _________ decimal and can never be written as a ________.

A
irrational, endless, fraction

B
rational, endless, fraction

C
rational, terminating, fraction

D
irrational, endless, decimal

Solution

√2 is an irrational number which is an endless decimal and can never be written as a fraction.
Question 19
1 / -0

Which of the following options hold ?

Statement 1: The graph of x = a is a straight line parallel to the x-axis.
Statement 2: The graph of y = a is a straight line parallel to the y-axis.

A
Statement-1 is true but Statement-2 is false.

B
Statement-2 is true but Statement-1 is false.

C
Both the statements are true.

D
Both the statements are false.

Solution

Statement 1: The graph of x = a is a straight line parallel to the y-axis.
Statement 1 is false.

Statement 2: The graph of y = a is a straight line parallel to the x-axis.
Statement 2 is also false.

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IMO - Mock Test - 2

Result

IMO - Mock Test - 2

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SHARING IS CARING

Question 1

SVZ

SUY

SUW

SVY

Solution

Question 2

45

46

47

48

Solution

Question 3

17

18

19

20

Solution

Question 4

ESNES

NGIUZ

GFDSA

VCDEF

Solution

Question 5

Vehicle

Building

Animal

Fruit

Solution

Question 6

RGJ

AFD

REJ

JKL

Solution

Question 7

Statement 1

Statement 3

Statement 2

Statement 4

Solution

Question 8

26

25

24

23

Solution

Question 9

39

46

47

48

Solution

Question 10

2

1

8

4

Solution

Question 11

25 years

19 years

16 years

13

Solution

Question 12

5118.75 m2

900 m2

800 m2

550 m2

Solution

5118.75 m²

900 m²

800 m²

550 m²

40 m²

49 m²

60 m²

221 m²

56 cm²

58 cm²

72 cm²

75 cm²