IMO - Mock Test

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IMO - Mock Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

Five boys, Samar, Ravi, Mani, Reetinder and Bhupinder, are sitting in a restaurant on a table. Samar is to the left of Ravi and to the right of Bhupinder. Mani is to the right of Ravi. Reetinder is between Ravi and Mani. Who is sitting immediately right to Reetinder?

A
Mani

B
Bhupinder

C
Ravi

D
Samar

Solution

The order according to question is Bhupinder, Samar, Ravi, Reetinder and Mani.
Question 2
1 / -0

Find the next number in the given series.

157, 157, 170, 170, 183, 183, 196, 196, ?

A
209, 209

B
206, 206

C
199, 199

D
188,188

Solution

Each number is repeated, then 13 is added to arrive at the next number.
Question 3
1 / -0

If Z is 27, D is 5, E is 6 and G is 8 and so on, then solve the question given below.

APPLE - CAT = ?

A
11

B
14

C
21

D
28

Solution

We can see that A = 2 and B = 3 and so on. So, each alphabet is with value one more than what its number is Z = 27.
So, APPLE = 2 + 17 + 17 + 13 + 6 = 55
CAT = 4 + 2 + 21 = 27
=> 55 - 27 = 28
Question 4
1 / -0

Rearrange the given alphabets and make a word, then find out the class to which it belongs.

TAEML

A
Material

B
Animal

C
Conductor

D
Plant

Solution

The given word can be rearranged as METAL, which is a metal.
Question 5
1 / -0

If 'Water' is coded as 'Blue'. 'Blue' is coded as 'Yellow'. 'Yellow' is coded as 'Red'. 'Red' is coded as 'Sky' and 'Sky' is coded as 'Rain', then which of the following is the colour of human blood?

A
Sky

B
Yellow

C
Rain

D
Blue

Solution

Colour of human blood is Red and Red is coded as Sky. Hence, colour of human blood is Sky.
Question 6
1 / -0

A parking garage near Emily's house is 4 storeys tall. There are 8 open parking spots on the first level. There are 10 more open parking spots on the second level than on the first level and there are 5 more open parking spots on the third level than on the second level. There are 78 open parking spots on the fourth level. How many open parking spots are there in all?

A
101

B
119

C
127

D
130

Solution

Step 1: Find the number of open parking spots on the second level.
8 + 10 = 18
Step 2: Find the number of open parking spots on the third level.
18 + 5 = 23
Step 3: Find the total number of open parking spots.
8 + 18 + 23 + 78 = 127
There are 127 open parking spots in the garage.
Question 7
1 / -0

If in a certain code, 'WRITE' is coded as "YTKVG", then how will "ENGLISH" be coded in that code?

A
GPNIKSJ

B
GPINKSJ

C
GPINKUJ

D
GPNIKUJ

Solution

According to the given code, 2 is added to each alphabet to get the code.

E – G, N - P, G - I, L - N, I - K, S - U, H - J

So, ENGLISH = GPINKUJ
Question 8
1 / -0

In a certain language, ANIMAL is written as NAMILA. CONDUCTOR would be written in that language as

A
DUCTORCNO

B
CODUCOTOR

C
OCNUDTCRO

D
OCDNCUOTR

Solution

The letters are interchanged with their immediate neighbour. So, CONDUCTOR becomes OCDNCUOTR.
Question 9
1 / -0

Look for a pattern in the following series.

45, 47, 52, 63, 86, 133

Which of the following options represent the pattern?

A
Adding the number one more than double of difference of previous two terms

B
Adding prime number

C
Adding the number double of difference of previous two terms

D
Adding the number which is three times the difference of previous two terms

Solution

45 (+ 2) = 47
47 (+ 2 × 2 + 1) = 52
52 (+ 5 × 2 + 1) = 63
63 (+ 11 × 2 + 1) = 86
86 (+ 23 × 2 + 1) = 133
Rule: Adding the number one more than double of the difference of previous terms makes the pattern.
Question 10
1 / -0

How many 3 digit numbers can be formed with 4, 9 and 2 if the digits are never repeated?

A
4

B
6

C
8

D
7

Solution

492, 294, 924, 429, 249, 942.

So, 6 numbers can be formed.
Question 11
1 / -0

In 5(2a – 2) + 4 = 14, the value of 'a' is

A
1

B
2

C
4

D
6

Solution

5(2a – 2) + 4 = 14
= 10a – 10 + 4 = 14
= 10a - 6 = 14
⇒ 10a = 20
= a = 2
Question 12
1 / -0

The Hindu-Arabic numeral for M + CD + LX + VII is

A
1467

B
1367

C
1267

D
1167

Solution

M → 1000; CD → 400; LX → 60; VII → 7

⇒ 1467
Question 13
1 / -0

Look at the given set of numbers carefully and answer the question that follows.

1524, 3623, 7845, 9560

If 1^st and 2^nd positions of the digits of all the numbers are interchanged with each other, then find the sum of the digits of the largest number.

A
24

B
20

C
12

D
10

Solution

On interchanging 1^st and 2^nd positions of the all the numbers, we get

5124, 6323, 8745, 5960

Now, the largest number is 8745.

So, the sum of all digits of 8745 = 24.
Question 14
1 / -0

Find out the correct number if a number increases by 50 from its 2/5^th part.

A
63.3

B
83.3

C
64.2

D
50

Solution

Let the number be x. x – 2/5x = 50 x = 250/3 = 83.3
Question 15
1 / -0

Calculate the answer if 67.46 is taken away from the product of 24.3 and 4?

A
-29.74

B
29.74

C
39.16

D
164.66

Solution

Product of 24.3 and 4 = 24.3 x 4 = 97.2

So, 97.2 - 67.46 = 29.74
Question 16
1 / -0

What will we get after multiplying (x² + 5x – 10) and (x² – 5)?

A
x⁴ + x³ + 15x² – 25x – 50

B
x⁴ + 5x³ + x² + 15x

C
x⁴ + 3x³ – 4x² + 3x – 5

D
x⁴ + 5x³ – 15x² – 25x + 50

Solution

(x² + 5x – 10)(x² – 5)
= x²(x² + 5x – 10) – 5(x² + 5x – 10)
= x⁴ + 5x³ – 10x² – 5x² – 25x + 50
= x⁴ + 5x³ – 15x² – 25x + 50
Question 17
1 / -0

What is the additive inverse of negative of a negative number?

A
Positive

B
Negative of the given number

C
0

D
Cannot be determined

Solution

Negative of a negative number is positive.
The additive inverse of a positive number is negative of the given number so that their sum becomes 0.
Question 18
1 / -0

There are 35 flats in Palm enclave. 7 of them are painted blue, 8 are painted brown and the rest are painted white. What fraction of the houses are painted blue?

A
14/35

B
2/3

C
1/5

D
2/7

Solution

Number of flats which are painted blue = 7
Fraction of the houses which are painted blue = 7/35 = 1/5
Question 19
1 / -0

Ruheen started to solve a puzzle at 4:30:55 pm and finished it at 4:55:30 pm. How many seconds does she take to solve the puzzle?

A
1075 seconds

B
1275 seconds

C
1475 seconds

D
1745 seconds

Solution

1 minute = 60 seconds
The difference between 4:30:55 pm and 4:55:30 pm is 24 minutes and 35 seconds.
Total time taken in seconds = 24 x 60 + 35 = 1475 seconds
Question 20
1 / -0

Mitch had Rs. 873.50 to spend at the toy store. He bought 4 toy cars that cost Rs. 76.50 each and a race track that cost Rs. 444.50. How much money is left to buy more toys?

A
Rs. 123.00

B
Rs. 124.00

C
Rs. 125.00

D
Rs. 126.00

Solution

Step 1: Find the cost of the toy cars.
4 × Rs. 76.50 = Rs. 306.00

Step 2: Find the total cost of the toys.
Rs. 306.00 + Rs. 444.50 = Rs. 750.50

Step 3: Find the amount of money left.
Rs. 873.50 – Rs. 750.50 = Rs. 123.00

Mitch has Rs. 123.00 left to buy more toys.
Question 21
1 / -0

The weight of a 13 m long iron rod is 23.4 kg. Find the weight of another such rod whose length is 6 m.

A
11.2 kg

B
12.4 kg

C
10.8 kg

D
11.7 kg

Solution

13 m long iron rod weighs = 23.4 kg

6 m long iron rod weighs = 23.4/13 × 6 kg = 10.8 kg
Question 22
1 / -0

Radha read a book in 3 days. On the first day, she read 40 pages. On the second day, she read two fifths of the book and on the last day, she read one fifth of the book. How many total pages are there in the book?

A
100 pages

B
80 pages

C
60 pages

D
40 pages

Solution

On the first day = 40 pages = 2/5
So, 1/5 = 20 pages
So, on the second day = 2/5 = 40 pages
So, on the third day = 1/5 = 20
So, there are 40 + 40 + 20 = 100 pages in all.
Question 23
1 / -0

Bipan bought 17 cartons of ice cream and 7 cartons of yoghurt. Each carton of ice cream cost Rs. 367 and each carton of yoghurt cost Rs. 93. How much more did Bipan spend on ice cream than on yoghurt?

A
Rs. 5588

B
Rs. 5589

C
Rs. 5590

D
Rs. 5591

Solution

Step 1: Find the cost of the ice cream.
17 × Rs. 367 = Rs. 6239

Step 2: Find the cost of yoghurt.
7 × Rs. 93 = Rs. 651

Step 3: Find how much more the ice cream cost than the yoghurt.
Rs. 6239 – Rs. 651 = Rs. 5588

Bipan spent Rs. 5588 more on ice cream.
Question 24
1 / -0

Total annual income of Sachin is Rs. 240500 and that of Anup is Rs. 220365. How much income do they both earn together in one year?

A
Rs. 460665

B
Rs. 460765

C
Rs. 460865

D
Rs. 460965

Solution

Annul income means the income earned in one whole year.
Income of Sachin = Rs. 240500
Income of Anup = Rs. 220365
Total income = Rs. 240500 + Rs. 220365 = Rs. 460865
Question 25
1 / -0

A carpenter has bought some wooden logs. A piece of wood is cut from the log and from that piece, 6 toys has been made. If the rate of cutting of piece is 44 pieces per minute, then find how many toys can be made after 2 hrs?

A
31680

B
41680

C
42422

D
43240

Solution

Number of pieces cut in 2 hrs = 44 x 2 x 60 = 5280

Number of toys made from 5280 pieces = 6 x 5280 = 31680
Question 26
1 / -0

There are 12 members in a family who are going on a trip. Cost of one ticket is Rs. 150 and cost of lunch for one person is Rs. 400 in a hotel and other expenses are Rs. 1200. Find out the cost of the whole trip to the family?

A
Rs. 7800

B
Rs. 7000

C
Rs. 6600

D
Rs. 5000

Solution

Cost of tickets for all = 12 x Rs. 150 = Rs. 1800
Cost of lunch for 12 persons in hotel = 12 x Rs. 400 = Rs. 4800
Other expenses = Rs. 1200
Total expenditure = Rs. 1800 + Rs. 4800 + Rs. 1200 = Rs. 7800
Question 27
1 / -0

13 shirts are made from a piece of cloth. If 23 pieces are cut in 1 minute, then find the number of shirts made in 3 hrs.

A
43820

B
53820

C
54210

D
55230

Solution

Number of pieces cut in 3 hrs = 3 x 60 x 23
= 4140

Number of shirts made from 4140 pieces = 4140 x 13
= 53820
Question 28
1 / -0

Kanika 's mother gave her Rs. 2000 for shopping. Out of it, she bought 2 hand bags for Rs. 350 each, 1 dress for Rs. 880 and 1 make-up kit for Rs. 200. Find out how much money will she return to her mother?

A
Rs. 220

B
Rs. 380

C
Rs. 570

D
Rs. 650

Solution

Cost of handbags = Rs. 350 x 2 = Rs. 700
Cost of dress = Rs. 880
Cost of make-up kit = Rs. 200
Total expenditure = Rs. 700 + Rs. 880 + Rs. 200 = Rs. 1780
Money to be returned = Rs. 2000 - Rs. 1780 = Rs. 220

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Re-Attempt Weekly Quiz Competition

IMO - Mock Test - 3

Result

IMO - Mock Test - 3

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Rank

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SHARING IS CARING

Question 1

Mani

Bhupinder

Ravi

Samar

Solution

Question 2

209, 209

206, 206

199, 199

188,188

Solution

Question 3

11

14

21

28

Solution

Question 4

Material

Animal

Conductor

Plant

Solution

Question 5

Sky

Yellow

Rain

Blue

Solution

Question 6

101

119

127

130

Solution

Question 7

GPNIKSJ

GPINKSJ

GPINKUJ

GPNIKUJ

Solution

Question 8

DUCTORCNO

CODUCOTOR

OCNUDTCRO

OCDNCUOTR

Solution

Question 9

Adding the number one more than double of difference of previous two terms

Adding prime number

Adding the number double of difference of previous two terms

Adding the number which is three times the difference of previous two terms

Solution

Question 10

4

6

8

7

Solution

Question 11

1

2

4

6

Solution

Question 12

1467

1367

1267

1167

Solution

x⁴ + x³ + 15x² – 25x – 50

x⁴ + 5x³ + x² + 15x

x⁴ + 3x³ – 4x² + 3x – 5

x⁴ + 5x³ – 15x² – 25x + 50