IMO - Mock Test

Result

IMO - Mock Test - 2

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

If MOUSE is coded as NNVRF, then how will ENTRY be coded?

A
FMUQZ

B
DOSSX

C
DESWQ

D
HKIHH

Solution

In the solution given below, +1 is referred to as the next letter in the English alphabet and -1 is referred to as the previous letter in English alphabet.
For example, A + 1 = B or C - 1 = B

Now, MOUSE is coded as

M + 1 = N

O - 1 = N

U + 1 = V

S - 1 = R

E + 1 = F

Similarly,

E + 1 = F

N - 1 = M

T + 1 = U

R - 1 = Q

Y + 1 = Z

Therefore, ENTRY will be coded as FMUQZ.
Question 2
1 / -0

Find the next number in the series.

16, 48, 144, 432, ?

A
1298

B
1296

C
1184

D
1026

Solution

This is a simple multiplication series. Each number is 3 times more than the previous number.
16 × 3 = 48
48 × 3 = 144
Similarly, 432 × 3 = 1296
Question 3
1 / -0

How many 'b's are preceded by 'a' but have not been followed by 'c'?

abaabacbbacacbabbabc

A
1

B
2

C
3

D
4

Solution

We need to look for
abb
aba

abaabacbbacacbabbabc

3 'b's (highlighted above) are preceded by 'a' but not followed by 'c'.
Question 4
1 / -0

Rearrange the following letters to make a single word and then choose the category to which it belongs.

E N B G A L

A
Bird

B
Game

C
Accessory

D
Animal

Solution

E N B G A L = BANGLE, which is an accessory.
Question 5
1 / -0

Liam participated in a race. He was at the 19th position from back and 14th from the front. How many people in total participated in the race?

A
32

B
33

C
34

D
35

Solution

As he is at the 19^th place from the back, this means that there are 18 people after him. Also, since he is at the 14^th place from the front, this means that there are 13 people before him.

Thus, total number of participants = 18 + 13 + 1 = 32
Question 6
1 / -0

Find the missing number in the series.

676, 729, ?, 841, 900, 961

A
748

B
784

C
804

D
826

Solution

676 + 53 = 729
729 + 55 = 784
784 + 57 = 841
841 + 59 = 900
900 + 61 = 961
Thus, the missing number is 784.
Alternative solution: Series consists of squares of 26, 27, 28, 29, 30, 31.
Question 7
1 / -0

Rearrange the following letters to make a single word and then choose the category to which it belongs.

U R S E Q A

A
Animal

B
Ornament

C
Bird

D
Shape

Solution

Word after rearranging is SQUARE. Square is a shape.
Question 8
1 / -0

Which of the following is true?

A
6 × 2(3 + 1) + 4 × 3 = 156

B
5 + 5 + 5 + 5 × 5 = 100

C
6 × 6 × 6 + 6 × 6 × 6 = 46872

D
8 × 8 + 1 × 8(2 + 1) + 1 = 89

Solution

8 × 8 + 1 × 8(2 + 1) + 1 = 64 + 24 + 1 = 89
Question 9
1 / -0

Angles of a triangle are in the ratio 9 : 11 : 10. The biggest angle of the triangle is

A
66^o

B
76^o

C
54^o

D
40^o

Solution

Sum of angles in a triangle is 180^o.
According to the question,

9x + 11x + 10x = 180^o

Or, 30x = 180^o

Or, x = 6^o

So, the biggest angle = 11x = 11 × 6^o = 66^o
Question 10
1 / -0

Write 3659 in Roman numerals.

A
MMMDCLIX

B
MMMDCLXI

C
MMDDCLIX

D
MDDCLIXD

Solution

M = 1000
D = 500
C = 100
L = 50
IX = 9
3659 = 1000 + 1000 + 1000 + 500 + 100 + 50 + 9 = MMMDCLIX
Question 11
1 / -0

The length, width and height of a cuboidal shaped box are 10 cm, 7 cm and 4 cm, respectively. What will be the volume of that cuboidal box ?

A
280 cm³

B
320 cm³

C
400 cm³

D
530 cm³

Solution

Volume of a cuboid = Length × Breadth × Height

Volume = 10 cm × 7 cm × 4 cm = 280 cm³
Question 12
1 / -0

Find the ratio of Rs. 10 to 10 paise.

A
100 : 1

B
1000 : 1

C
1 : 100

D
10 : 1

Solution

Rs. 10 = 1000 paise

So, 1000 : 10 (paise)

100 : 1
Question 13
1 / -0

Karan has Rs. 25624.5 in his bank account. What is the balance in his account when rounded off to the nearest whole number?

A
Rs. 25624

B
Rs. 25625

C
Rs. 25626

D
Rs. 25627

Solution

The digit in the tenths place (in 25624.5) is 5.

So, 25624.5 will round off to 25625 because 5 or more is rounded up.
Question 14
1 / -0

What is the value of 59.4 x 6.3 ?

A
374.22

B
37.422

C
372.22

D
37.222

Solution

The product can be found out by long multiplication.

59.4 × 6.3 = 374.22
Question 15
1 / -0

Find the cost of painting a rectangular wall of dimensions 14 m x 7 m at the rate of Rs. 12 per m²?

A
Rs. 1176

B
Rs. 1470

C
Rs. 2576

D
Rs. 2645

Solution

Area of rectangle = Length × Width = 14 × 7 = 98m²
Total Cost of painting the wall = 98 × 12 = Rs. 1176
Question 16
1 / -0

A rectangle has a perimeter of 86 m. Its width is 20 m. Find the length of the rectangle.

A
23m

B
46m

C
66m

D
75m

Solution

Perimeter = 2(l + b) = 86 m = 2(l + 20 m)

l = (86 m – 40 m) ÷ 2 = 46 m ÷ 2 = 23 m
Question 17
1 / -0

If a cylinder has radius 35 cm and length 30 cm, then how much water can it hold ?

A
109854 cm³

B
1099876 cm³

C
115500 cm³

D
808500 cm³

Solution

Capacity = Volume of the cylinder = πr²h

= 22/7 × 35 × 35 × 30

= 115500 cm³
Question 18
1 / -0

What is the sum of prime factors of 98?

A
6

B
7

C
8

D
9

Solution

Prime factors of 98 = 2 and 7
Sum of prime factors = 2 + 7 = 9
Question 19
1 / -0

What is the value of 2 + 19 + 15 + (- 2) ?

A
31

B
33

C
34

D
36

Solution

2 + 19 + 15 + (- 2)
2 + 19 + 15 - 2
(2 + 19 + 15) - 2
36 - 2 = 34
Question 20
1 / -0

What fraction of 3 years is 17 months?

A
17/12

B
17/24

C
17/28

D
17/36

Solution

1 year = 12 months
3 years = 36 months
Fraction = 17/36
Question 21
1 / -0

If 12^th day of a month is one day before Monday, what day will be on the 21^st of the same month?

A
Sunday

B
Monday

C
Tuesday

D
Wednesday

Solution

Day before Monday is Sunday.
So, it will be Sunday on 12^th.
If 12^th is Sunday, 14^th will be Tuesday.
14^th and 21^st will be the same day as there are 7 days in a week.
Question 22
1 / -0

What should be subtracted from the sum of 62.2 and 12.43 to get 34.02?

A
40.61

B
58.65

C
65.63

D
73.02

Solution

Sum of 62.2 and 12.43 = 74.63
To get 34.02, we must subtract 34.02 from 74.63.
74.63 – 34.02 = 40.61
Question 23
1 / -0

Subtract 139.6 from the sum of 258.9 and 59.86.

A
169.16

B
170.6

C
178.56

D
179.16

Solution

Sum of 258.9 and 59.86 = 318.76.

Now, subtracting 139.6 from 318.76 = 179.16
Question 24
1 / -0

A person is travelling from Ludhiana to Delhi and total distance is 300 km. The person covered 1/4 of the distance by bus and rest by train. Find how many km did he travel by train.

A
250km

B
225 km

C
200 km

D
150 km

Solution

Total distance = 300 km
Distance covered by bus = 1/4 × 300 km= 75 km
Distance covered by train = (300 - 75) km
= 225 km
Question 25
1 / -0

Gaurav can read 18 pages of a book in 1 hour. At this rate, how many pages can Gaurav read in 150 minutes?

A
27

B
36

C
45

D
54

Solution

Number of hours = 150 ÷ 60 = 2.5

Number of pages read in 2.5 hours = 18 × 2.5 = 45
Question 26
1 / -0

Rajat measures his weight on a weighing machine as 54.75 kg. What is his weight rounded to one decimal place?

A
54.0 kg

B
54.7 kg

C
54.8 kg

D
55.0 kg

Solution

As digit in the hundredths place of 54.75 is 5, so 54.75 will round up to 54.8 because 5 or more rounds up.
Question 27
1 / -0

A carpenter bought a piece of wood that was 2.24 metres long. He bought another piece of wood that was 3.75 metres long. How much wood does he have now?

A
5.67 metres

B
5.99 metres

C
6.03 metres

D
6.29 me

Solution

Total wood that the carpenter has = (3.75 + 2.24) metres = 5.99 metres
Question 28
1 / -0

Brooke realises that the number on the classroom door is divisible by 2 and her classmate points out that it is also divisible by 5. What is the smallest possible number that could be on the classroom door?

A
40

B
30

C
20

D
10

Solution

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20

Multiples of 5 = 5, 10, 15, 20, 25, 30….

The smallest number which is divisible by 2 and 5 is 10.
Question 29
1 / -0

Ronna is thinking of a secret number. She tells her brother that it is divisible by 18 and tells her friend that it is divisible by 4. If Ronna is telling the truth to both of them, what is the smallest secret number that Ronna could be thinking of?

A
18

B
22

C
36

D
72

Solution

Multiples of 18 = 18, 36, 54, 72, 90

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36

The lowest common multiple of 18 and 4 is 36. That means that the smallest possible secret number is 36, because 2 times 18 is 36 and 9 times 4 is 36.
Question 30
1 / -0

Laura found 8 rolls of blue ribbon and red ribbon. Each roll of blue ribbon was 4 metres long and each roll of red ribbon was 2 metres long. If Laura found 24 metres of ribbon in total, how many rolls of each colour did she find?

A
4 rolls of blue ribbon and 4 rolls of red ribbon

B
5 rolls of blue ribbon and 3 rolls of red ribbon

C
3 rolls of blue ribbon and 5 rolls of red ribbon

D
2 rolls of blue ribbon and 6 rolls of red ribbon

Solution

Let, number of blue rolls be 'x'.
Number of red rolls = (8 - x)
Then, length of blue ribbon = 4x metres
Length of red ribbon = 2(8 - x) meters
Total length = 4x + 2(8 - x) = 24
So, 4x + 16 - 2x = 24
2x = 8
x = 4
So, number of blue rolls = 4 and number of red rolls = (8 - x) = (8 - 4) = 4
Question 31
1 / -0

There are 'x' students on each desk and 'y' rows in the class with z² desks in each row. How many students are there in the class?

A
xyz

B
xy

C
yz²

D
xyz²

Solution

y rows have z² desks.
So, total desks = yz²

Each desk has x students, so total number of students = xyz²
Question 32
1 / -0

Regan has 7 coins worth Rs. 61.00. If the coins are all 10-rupee coins and 1-rupee coins, how many 10-rupee coins and 1-rupee coins, respectively does she have?

A
6 and 1

B
6 and 6

C
2 and 5

D
1 and 6

Solution

Let, there be 'a' coins of denomination Rs. 10.
Coins of denomination Re. 1 = 7 - a
So, 10a + (7 - a) = 7 + 9a = 61
Or, a = 6
Thus, Regan has 6 coins of Rs. 10 and 1 coin of Re. 1.
Question 33
1 / -0

Cost of 6 bands and 3 chains is Rs. 453 and the cost of 3 bands and 7 chains is Rs. 859. How much does a person have to pay if he buys 9 bands and 13 chains?

A
Rs. 1312

B
Rs. 1557

C
Rs. 1657

D
Rs. 1666

Solution

Let, the cost of a band be Rs. b.
Let, the cost of a chain be Rs. c.
So, 6b + 3c = 453 ..(1)
3b + 7c = 859 ...(2)
Multiply equation (2) with 2, we get 6b + 14c = 1718 ...(3)
Subtracting equation (1) from equation (3), we get 11c = 1265 or c = 115 ...(4)
Substituting this value of c from equation (4) into equation (2) and solving for b, we get b = 18..(5)
Thus, cost of 9 bands and 13 chains = 9b + 13c = 9 x 18 + 13 x 115 = Rs. 1657
Thus, the person has to pay Rs. 1657.
Question 34
1 / -0

Which of the following is the square of a number, 5 more than N?

A
N² + 25

B
(N + 5)²

C
N² + 5

D
N² - 10N - 25

Solution

The question asks for the square of a number, which is 5 more than N.
So, it will be (N + 5), which will be the number and square of it is (N + 5)².
Question 35
1 / -0

Ram has 20 items of cutlery. The number of spoons is x, which is 4 more than the number of knives but 7 less than the number of forks. Which of the following represents the equation for total items of cutlery in terms of 'x'?

A
x + (x + 4) + (x - 7) = 20

B
x + (x - 4) + (x + 7) = 20

C
x + (x - 4) + (x - 7) = 20

D
x + (x + 4) + (x + 7) = 20

Solution

Number of spoons = x
Number of knives = x - 4
Number of forks = x + 7
Total cutlery items = 20
So, x + (x - 4) + (x + 7) = 20
Question 36
1 / -0

Study the statements given below and choose the correct answer.

Statement 1: Numbers having exactly two factors are prime numbers.
Statement 2: All prime numbers are odd.

A
Statement 1 is true and statement 2 is false.

B
Statement 1 is false and statement 2 is true.

C
Both statements are true.

D
Both statements are false.

Solution

Numbers which have exactly 2 factors are called prime numbers, like 3 and 5. But, 2 is an even number and is prime.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

IMO - Mock Test - 2

Result

IMO - Mock Test - 2

Score

-

Rank

-

SHARING IS CARING

Question 1

FMUQZ

DOSSX

DESWQ

HKIHH

Solution

Question 2

1298

1296

1184

1026

Solution

Question 3

1

2

3

4

Solution

Question 4

Bird

Game

Accessory

Animal

Solution

Question 5

32

33

34

35

Solution

Question 6

748

784

804

826

Solution

Question 7

Animal

Ornament

Bird

Shape

Solution

Question 8

6 × 2(3 + 1) + 4 × 3 = 156

5 + 5 + 5 + 5 × 5 = 100

6 × 6 × 6 + 6 × 6 × 6 = 46872

8 × 8 + 1 × 8(2 + 1) + 1 = 89

Solution

Question 9

66o

76o

54o

40o

Solution

Question 10

MMMDCLIX

MMMDCLXI

MMDDCLIX

MDDCLIXD

Solution

Question 11

280 cm3

320 cm3

400 cm3

530 cm3

Solution

Question 12

100 : 1

1000 : 1

1 : 100

10 : 1

Solution

66^o

76^o

54^o

40^o

280 cm³

320 cm³

400 cm³

530 cm³

109854 cm³

1099876 cm³

115500 cm³

808500 cm³