IMO - Mock Test

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IMO - Mock Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following numbers will complete the series?

8, 10, 14, 20, 28, ?

A
34

B
36

C
38

D
40

Solution

Pattern followed by the given sequence:

8 + 2 = 10

10 + 4 = 14

14 + 6 = 20

20 + 8 = 28

28 + 10 = 38
Question 2
1 / -0

Which is the wrong term in the given series ?

37, 41, 59, 67, 103, 119

A
119

B
103

C
67

D
59

Solution

All the given options, except 119, are prime numbers, and prime numbers are the numbers that have only two factors; 1 and the number itself.

Whereas, 119 has factor pairs (1,119), and (7, 17).
Question 3
1 / -0

Which of the following is the odd one out?

A
HIJ

B
JKM

C
ABD

D
STV

Solution

Only the 1^st group of letters viz. HIJ contains consecutive letters in the English alphabet.
The rest are not.
Thus, the group HIJ is the odd one out.
Question 4
1 / -0

Sachin is the father of Rahul. Inder is the mother of Manpreet, who is the sister of Rahul.

How is Inder related to Rahul?

A
Sister

B
Grandmother

C
Mother

D
Aunt

Solution

According to the question, Rahul and Manpreet are siblings. So, Sachin and Inder are husband-wife. Now, the relation between Rahul and Inder is of son and mother. Inder is the mother of Rahul.
Question 5
1 / -0

In the following question, there is a relationship between the two terms to the left of : : and the same relationship holds between the two terms to its right, out of which one term is missing. Choose the missing term from the given options.

15 : 225 : : 17 : ?

A
286

B
287

C
288

D
289

Solution

In the first pair of terms, the second term is the square number of the first term.
Accordingly, missing number = 17 × 17 = 289
Question 6
1 / -0

If in a certain code, REASON is written as QDZRNM, then how will LENOVO be written in that code?

A
KDMNUN

B
KMDNUM

C
KDNMUN

D
KDMMUM

Solution

Pattern followed in the given series:

R - 1 = Q
E - 1 = D
A - 1 = Z
S - 1 = R
O - 1 = N
N - 1 = M
Similarly, LENOVO will be written as KDMNUN.
Question 7
1 / -0

Find the missing number in the series:

3, 9, 27, 81, 243, ?

A
727

B
728

C
729

D
730

Solution

Pattern followed in the given series:

3 × 3 = 9
9 × 3 = 27
27 × 3 = 81
81 × 3 = 243
243 × 3 = 729
Question 8
1 / -0

In the following question, there is a relationship between the two terms to the left of : : and the same relationship holds between the two terms to its right, out of which one term is missing. Choose the missing term from the given options.

512 : 8 : : 216 : ?

A
3

B
4

C
5

D
6

Solution

On the left side of the equation, the second number is the cube root of the first number.
According to the pattern, the second number of the right side of the equation will be cube root of 216, that is 6.
Question 9
1 / -0

Find the odd one out from the following:

100, 144, 196, 224, 256

A
256

B
224

C
196

D
169

Solution

The odd one in the series is 224, as all the given numbers in the series are square numbers, except 224.
Question 10
1 / -0

Rahul is 35 years old. He is 3 years older than 2 times the age of his son named Rohit. What is the age of Rohit?

A
16 years

B
19 years

C
20 years

D
None of these

Solution

Let Rohit's age be X years.
So, 35 = 2X + 3
Or X = 16
Thus, age of Rohit = 16 years
Question 11
1 / -0

In a row of employees, Rani is 6^th from the right and Nitin is 5^th from the left. They decide to interchange their places. Now, Nitin becomes 13^th from the left. What will be Rani's position from the right?

A
12^th

B
14^th

C
15^th

D
16^th

Solution

Since Rani and Nitin interchange their places, so Nitin's new position (13^th from left) is the same as Rani's earlier position (6^th from right).
So, number of employees in the row = (12 + 1 + 5) = 18
Now, Rani's new position is the same as Nitin's earlier position, that is 5^th from the left.
Therefore, Rani's position from the right = (18 - 4) = 14^th
Question 12
1 / -0

Find the value of y from the following equations:

(i) 12x – 6y + 36 = 30
(ii) 4x – 4y + 32 = 17

A
13/2

B
8

C
27/2

D
9

Solution

12x – 6y + 36 = 30 ... (1)

4x – 4y + 32 = 17 ... (2)

Dividing equation (1) by 3,

3(4x – 2y + 12) = 30

4x – 2y + 12 = 10 ... (3)

4x – 4y + 32 = 17 ... (4)

Subtracting equation (4) from equation (3),

4x – 2y + 12 = 10
- 4x + 4y - 32 = -17
----------------------------
2y – 20 = -7

2y = 13

y = 13/2
Question 13
1 / -0

There are 5 rows of benches in a class. In every row, there are 6 benches and on every bench, 2 students are seated. How many students are present in the class on a particular day if 8 students are absent?

A
60

B
55

C
54

D
52

Solution

Total number of benches = 5 × 6 = 30

Total number of students in the class = 30 × 2 = 60

Absent students = 8

So, number of students present = 60 - 8 = 52
Question 14
1 / -0

Which of the following is the same as (7 + 3c)² + (7 – 3c)²?

A
98 + 19c

B
98 - 19c

C
98 - 19c²

D
98 + 18c²

Solution

(7 + 3c)²+ (7 – 3c)²

= 49 + 9c² + 42c + 49 + 9c² – 42c [Using identity]

= 98 + 18c²
Question 15
1 / -0

In a direct variation, y = 8 when x = 4. Which of the following options is the direct variation equation that shows the relationship between x and y?

A
y = 6x

B
y = 5x

C
y = 4x

D
y = 2x

Solution

First find the constant of variation. Plug x = 4 and y = 8 into the direct variation equation and then solve for k.
y = k.x
8 = k(4)
2 = k
Now, use k = 2 to write the direct variation equation.
y = k.x
y = 2.x
The direct variation equation is
y = 2x
Question 16
1 / -0

A sum of money has been distributed among four friends in such a way that the proportion of shares is 1 : 2 : 3 : 8. If the third friend gets Rs. 300 less than the fourth friend gets, then find the second friend's share.

A
Rs. 120

B
Rs. 54.40

C
Rs. 50

D
Rs. 20

Solution

Let their shares be 1x, 2x, 3x, 8x According to the question 8x - 3x = 3005x = 300x = 60 So, the share of second friend is 2x = 2 x 60 = Rs. 120
Question 17
1 / -0

In a mixture of 120 litres, the ratio of Coke to Pepsi is 2 : 1. If the ratio is to be changed to 1 : 2, then what quantity of Pepsi should be added?

A
120 litres

B
60 litres

C
50 litres

D
20 litres

Solution

Initial volume of Coke = (2/3) × 120 litres = 80 litres
Initial volume of Pepsi = (120 - 80) litres = 40 litres
Final volume of Pepsi required = 2 × 80 litres = 160 litres
Volume of Pepsi to be added = (160 - 40) litres = 120 litres
Question 18
1 / -0

The value of 22.05 × 1.56 + 0.002 is

A
15.270

B
34.520

C
34.400

D
34.450

Solution

22.05 × 1.56 = 34.398
34.398 + 0.002 = 34.400 is the answer.
Question 19
1 / -0

The angles in a quadrilateral are in the ratio 6 : 14 : 18 : 22. Find the sum of two middle angles.

A
24^o

B
108^o

C
192^o

D
360^o

Solution

6x + 14x + 18x + 22x = 360^o

60x = 360^o

x = 6^o

14 × 6^o= 84^o

18 × 6^o =108^o

Sum of the middle two angles in the given ratio =

84^o+ 108^o= 192^o

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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

34

36

38

40

Solution

Question 2

119

103

67

59

Solution

Question 3

HIJ

JKM

ABD

STV

Solution

Question 4

Sister

Grandmother

Mother

Aunt

Solution

Question 5

286

287

288

289

Solution

Question 6

KDMNUN

KMDNUM

KDNMUN

KDMMUM

Solution

Question 7

727

728

729

730

Solution

Question 8

3

4

5

6

Solution

Question 9

256

224

196

169

Solution

Question 10

16 years

19 years

20 years

None of these

Solution

Question 11

12th

14th

15th

16th

Solution

Question 12

13/2

8

27/2

9

Solution

12^th

14^th

15^th

16^th

98 - 19c²

98 + 18c²

24^o

108^o

192^o

360^o