Olympiad Test: Linear Equations In One Variable -1 - Class 7 MCQ

# Olympiad Test: Linear Equations In One Variable -1 - Class 7 MCQ

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## 15 Questions MCQ Test Mathematics Olympiad Class 7 - Olympiad Test: Linear Equations In One Variable -1

Olympiad Test: Linear Equations In One Variable -1 for Class 7 2024 is part of Mathematics Olympiad Class 7 preparation. The Olympiad Test: Linear Equations In One Variable -1 questions and answers have been prepared according to the Class 7 exam syllabus.The Olympiad Test: Linear Equations In One Variable -1 MCQs are made for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Linear Equations In One Variable -1 below.
Olympiad Test: Linear Equations In One Variable -1 - Question 1

### Mr. Sharma left one-third of his property to his daughter, one- fourth to his son and the remainder to his wife. If his wife’s share is Rs 18000 what was the worth of Mr. Sharma’s total property?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 1

Let the total property be Rs x.

Olympiad Test: Linear Equations In One Variable -1 - Question 2

### In an examination, a student requires 40% of the total marks to pass. If Manoj gets 185 marks and fails by 15 marks what is the total marks?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 2

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Olympiad Test: Linear Equations In One Variable -1 - Question 3

### 50 kg of an alloy of nickel and iron contains 60% nickel. How much nickel must be melted into it to make the alloy contain 75% of nickel?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 3

Quantity of nickel in 50 kg of alloy
= 60% of 50 kg = 30 kg
Let the required quantity of lead = x kg
Weight of new alloy = (30 + x ) kg

⇒ 120 + 4x = 150 + 3x
⇒ 4x – 3x = 150 – 120 ⇒
x = 30

Olympiad Test: Linear Equations In One Variable -1 - Question 4

The sum of digits of a two digit number is 9. If 27 is added to the number its digits get interchanged. What is the number?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 4

Let unit’s digit be x.
Ten’s digit = (9 – x)
Number = 10(9 – x) + 1× x = 90 –10x + x
∴ 90 – 9x + 27 = x × 10 + (9 – x)1.
⇒ 117 – 9x = 10 x + 9 –x
⇒ 117 – 9x = 9x + 9

Olympiad Test: Linear Equations In One Variable -1 - Question 5

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 5

Olympiad Test: Linear Equations In One Variable -1 - Question 6

A bookseller earned a profit of 5% by selling a book for Rs 714. What is the cost price of the book?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 6

Let the cost price be Rs x.
∴ x + 5% of x = 714

Olympiad Test: Linear Equations In One Variable -1 - Question 7

The length of a rectangle is three times of its breadth. Its perimeter is 128m, what is its length?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 7

Let the breadth of rectangle = x
Length = 3x
Perimeter of rectangle = 128
∴ 2(x + 3x) = 128

Olympiad Test: Linear Equations In One Variable -1 - Question 8

Ramesh travelled 3/5 of his journey by rail, 1/4 by a car, 1/8 by a bus and the remaining 4 km on foot. What is the length of total journey?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 8

Let the total journey be x km.

Olympiad Test: Linear Equations In One Variable -1 - Question 9

A number consists of two–digits whose sum is 8. If 18 is added to the number its digits are reversed. What is that number?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 9

Let the unit’s digit be x.
10’s digit = 8–x.
Number = 10(8–x) + 1×x
= 80 – 10x + x = 80 – 9x
and 80 –9x + 18 = 10 × x + (8–x) 1
⇒ 98 –9x = 10x + 8 –x
⇒ 98 –9x = 9x + 8

Number = 80 – 9×5 = 80 – 45 = 35

Olympiad Test: Linear Equations In One Variable -1 - Question 10

A number is as much greater than 21 as it is less than 71. What is that number?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 10

Let the number be x
∴ x – 21 = 71 – x
⇒ x + x = 71 + 21
⇒ 2x = 92

Olympiad Test: Linear Equations In One Variable -1 - Question 11

Two supplementary angles differ by 20°.  What is the measure of smaller angle?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 11

Let the smaller angle be x.
∴ Other angle = x + 20°
Now x  + x + 20° = 180°
⇒ 2x = 160°
⇒ x = 80°

Olympiad Test: Linear Equations In One Variable -1 - Question 12

A number when multiplied by 5 is increased by 80. What is that number?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 12

Let the number be x.
∴ 5x = x +80
⇒ 5x – x = 80
⇒ 4x = 80

Olympiad Test: Linear Equations In One Variable -1 - Question 13

The sum of three consecutive odd numbers is 99. What is the difference of smallest and largest odd number?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 13

Let the three consecutive odd numbers be x, x +2, x + 4.
∴ x + x + 2 + x + 4 = 99
⇒ 3x + 6 = 99
⇒ 3x = 93
⇒ x  = 31
∴ The numbers are 31,33,35
Hence, difference = 35 – 31 = 4

Olympiad Test: Linear Equations In One Variable -1 - Question 14

The ages of Simran and Ranjna are in the ratio 5:3. After 6 years their ages will be in the ratio 7:5. What is present age of Ranjna?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 14

Let Simran’s age = 5x
Ranjna’s age = 3x
After 6 years, Simran’s age = 5x + 6
Ranjna’s age = 3x + 6

⇒ 25x = 30 = 21x + 42
⇒ 25x –21x = 42 –30
⇒ 4x = 12

∴ Present age of Ranjana = 3x
= 3 × 3 = 9 years

Olympiad Test: Linear Equations In One Variable -1 - Question 15

Thrice a number when increased by 6 gives 84. What is that number?

Detailed Solution for Olympiad Test: Linear Equations In One Variable -1 - Question 15

Let the number be x.
∴ 3x + 6 = 84
⇒ 3x = 84 –6
⇒ 3x = 78

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