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 Most Important Multiple Choice Questions
 Online Number System Exercise with Correct Answer Key and Solutions
 Useful for all Competitive Exams
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Question 1 of 23
1. Question
A canteen requires 112 kgs of wheat for one week. How many kgs of wheat will it require for 69 days?
Hint
Quantity of wheat for 7 days = 112 kg
∴ Quantity of wheat for 1 day = kg
∴ Quantity of wheat for 69 days = × 69 = 1104 kg

Question 2 of 23
2. Question
If an amount of Rs 41,910 is distributed equally amongst 22 persons, how much amount would each person get?
Hint
Required amount = = Rs 1905

Question 3 of 23
3. Question
How many pieces of 8.6 metres length cloth can be cut out of a length of 455.8 metres cloth?
Hint
Number of pieces = = 53

Question 4 of 23
4. Question
If an amount of Rs 15,487 is divided equally among 76 students, approximately how much amount will each student get?
Hint
Amount received by each student = = ≈ Rs 204

Question 5 of 23
5. Question
There are 12 dozen mangoes in a box. If there are 43 such boxes, how many mangoes are there in all the boxes together?
Hint
Number of mangoes = 12 dozens
= 12 × 12 = 144
∴ Number of mangoes in 43 boxes
= 43 × 144 = 6192

Question 6 of 23
6. Question
A canteen requires 13 dozen bananas per day. How many bananas will it require for 9 weeks?
Hint
Requirement of bananas for 1 day in the canteen = 13 dozens
∴ Requirement of bananas for 9 weeks i.e. 63 days
= 63 × 13 dozens
= 63 × 13 × 12 = 9828.

Question 7 of 23
7. Question
The cost of 3 chairs and 10 tables is Rs 9856. What is the cost of 6 chairs and 20 tables?
Hint
Let the cost of one chair be Rs x and that of a table be = Rs y
According to the question,
3x + 10y = Rs 9856
⇒ 2 × (3x + 10y) = 2 × 9856
∴ 6x + 20y = Rs 19712

Question 8 of 23
8. Question
A, B, C, D and E are five consecutive odd numbers The sum of A and C is 146. What is the value of E?
Hint
A + C = 146
⇒ A + A + 4 = 146
⇒ A =
∴ E = A + 8 = 71 + 8 = 79

Question 9 of 23
9. Question
The product of two consecutive even numbers is 582168. Which is the smaller number?
Hint
Let the numbers be x and (x + 2)
Then, x × (x + 2) = 582168
⇒ x² + 2x – 582168 = 0
⇒ x² + 764x – 762x – 582168 = 0
⇒ (x + 764) (x – 762) = 0
⇒ x = 762

Question 10 of 23
10. Question
The sum of the squares of two consecutive even numbers is 6500. Which is the smaller number?
Hint
Let the two numbers be x and (x + 2).
Then, x² + (x + 2)² = 6500
⇒ x² + x² + 4x + 4 = 6500
⇒ 2x² + 4x – 6496 = 0
⇒ x² + 2x – 3248 = 0
⇒ x² + 58x – 56x – 3248 = 0
⇒ (x + 58) (x – 56) = 0
⇒ x = 56

Question 11 of 23
11. Question
The product of two consecutive odd numbers is 19043. Which is the smaller number?
Hint
Out of the given alternatives,
137 × 139 = 19043
∴ Required smaller number = 137

Question 12 of 23
12. Question
The product of two successive numbers is 8556. What is the smaller number?
Hint
Let the number be x and (x + 1).
∴ x(x + 1) = 8556
⇒ x² + x – 8556 = 0
⇒ x² + 93x – 92 x – 8556 = 0
⇒ (x² + 93) (x – 92) = 0
∴ x = 92

Question 13 of 23
13. Question
The product of two consecutive even numbers is 4488. Which is the smaller number?
Hint
Let the smaller number be x
x × (x + 2) = 4488
⇒ x² + 2x – 4488 = 0
⇒ (x + 68) (x – 66) = 0
∴ x = 66

Question 14 of 23
14. Question
The sum of three consecutive integers is 39. Which of the following is the largest among the three?
Hint
Let the three consecutive integers be
x, x + 1 and x + 2
According to the question,
x + x + 1 + x + 2 = 39
⇒ 3x + 3 = 39
⇒ 3x = 39 – 3 = 36
⇒ x = = 12
∴ Required largest number
= x + 2 = 12 + 2 = 14

Question 15 of 23
15. Question
The product of two successive numbers is 3192. What is the smaller number?
Hint
Out of the given alternatives,
56 × 57 = 3192

Question 16 of 23
16. Question
The product of two consecutive even numbers is 16128. Which is the larger number?
Hint
Quicker Approach:
The unit’s digit of the number 16128 is 8.
From the given answer choices,
126 × 128 = 16128
∴ Required larger number = 128

Question 17 of 23
17. Question
The sum of a set of five consecutive even numbers is 140. What is the sum of the next set of five consecutive even numbers?
Hint
According to the question,
x + x + 2 + x + 4 + x + 6 + x + 8 = 140
⇒ 5x + 20 = 140
⇒ 5x = 120
∴ x = = 24
∴ x + 8 = 24 + 8 = 32
The next set of five consecutive even number will start with = 34
∴ Required sum
= 34 + 36 + 38 + 40 + 42 = 190

Question 18 of 23
18. Question
The product of two consecutive odd numbers is 1763. What is the larger number?
Hint
From the given alternatives,
1763 = 43 × 41

Question 19 of 23
19. Question
The product of two consecutive even numbers is 5328. What is the smaller number?
Hint
Let the smaller number be x
x (x + 2) = 5358
⇒ x² + 2x – 5328 = 0
⇒ (x + 74) (x – 42) = 0
∴ x = 72

Question 20 of 23
20. Question
The average of four consecutive even numbers is 27. What is the highest number?
Hint
∴ Highest number = 24 + 6 = 30

Question 21 of 23
21. Question
If the difference between a number and two fifths of the number is 30, find the number.
Hint
Let the number be = x
According to the question,
⇒
⇒

Question 22 of 23
22. Question
The difference between a number and one fifth of it is 84. What is the number?
Hint
of the number = 84
∴ number = = 105

Question 23 of 23
23. Question
The sum of five consecutive even numbers of set A is 280. What is the sum of a different set B of five consecutive numbers whose lowest number is 71 less than double the lowest number of set A?
Hint
Lowest number of set A
= – 4 = 52
Lowest number of other set = 52 × 2 – 71 = 33
∴ Required sum = 33 + 34 + 35 + 36 + 37 = 175