InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 151. |
Fill in the blanks to make the statements true. Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the _____ of the term. |
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Answer» Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the sign of the term. |
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| 152. |
Choose the correct one. Which of the following equations can be formed starting with x = 0 ? (a) 2x + 1 = – 1 (b) x/2 + 5 = 7 (c) 3x – 1 = – 1 (d) 3x – 1 = 1 |
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Answer» Correct answer is (c) 3x – 1 = -1 |
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| 153. |
Choose the correct one. Which of the following equations can be formed using the expression x = 5:(a) 2x + 3 = 13 (b) 3x + 2 = 13(c) x – 5 = 1 (d) 4x – 9 =21 |
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Answer» Correct answer is (a) 2x + 3 = 13. [ Hint: x = 5 on multiplying both sides by 2 gives 2x = 10 which on adding 3 both sides gives 2x + 3 =13] |
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| 154. |
Choose the correct one.The solution of which of the following equations is neither a fraction nor an integer?(a) 2x + 6 = 0 (b) 3x – 5 = 0(c) 5x – 8 = x + 4 (d) 4x + 7 = x + 2 |
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Answer» Correct answer is (d) 4x + 7 = x + 2 |
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| 155. |
The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers. |
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Answer» Let the smallest integer be x So, next two consecutive integer would be x + 1 and x + 2 respectively. According to question, x + x + 1 + x + 2 = x + 5 ⇒ 3x + 3 = x + 5 ⇒ 3x – x = 5 – 3 ⇒ 2x – 2 ⇒ x = 1 Thus, next two consecutive integers are 2 and 3 respectively. |
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| 156. |
One of the two numbers is twice the other. The sum of the numbers is 12. Find the numbers. |
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Answer» Let the one number be x. So, other number = 2x According to question, x + 2x = 12 ⇒ 3x = 12 ⇒ x = 12/3 = 4 ∴ Other number is 2x = 2 × 4 = 8 |
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| 157. |
The sum of two consecutive multiples of 2 is 18. Find the numbers. |
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Answer» Let first multiple of 2 be x. So, next multiple of 2 = x + 2 According to question, x + x + 2 = 18 ⇒ 2x = 18 – 2 = 16 ⇒ x = 8 Thus, 8 and 10 are required numbers. |
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| 158. |
150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts. |
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Answer» Let first part be x So, other part = 150 – x According to question, 2x = 150 – x ⇒ 2x + x = 150 ⇒ 3x = 150 ⇒ 150/3 = 50 Thus, other part = 150 – x = 150 – 50 = 100 Hence, 150 has been divided into 50 and 100. |
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| 159. |
Two complementary angles differ by 20°. Find the angles. |
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Answer» Let one angle be x. So, complement of x = 90°- x According to question, x – (90°- x) = 20° ⇒ x – 90° + x = 20° ⇒ 2x = 20° + 90° = 110° ⇒ x = 110°/2 = 55° ∴ Complement of x = 90°- x = 90°- 55° = 35° Thus, 55° and 35° are required complementary angles. |
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| 160. |
Two complementary angles differ by 20°. Find the angles. |
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Answer» Correct answer is 35°, 55° |
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| 161. |
Solve the following :The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score? |
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Answer» Let the lowest score be x According to the question 2x + 7 = 87 2x = 87 – 7 = 80 x = 80/2 = 40 x = 40 ∴ The lowest score be 40. |
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| 162. |
Choose the correct one. The equation having – 3 as a solution is:(a) x + 3 =1 (b) 8 + 2x = 3 (c) 10 + 3x = 1 (d) 2x + 1 = 3 |
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Answer» Correct answer is (c) 10 + 3x = 1 |
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| 163. |
State whether the statements are True or False. 9/5 is the solution of the equation 4x –1 = 8. |
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Answer» 9/5 is the solution of the equation 4x –1 = 8. False |
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| 164. |
Choose the correct one. The equation having 5 as a solution is: (a) 4x + 1 = 2 (b) 3 – x = 8 (c) x – 5 = 3 (d) 3 + x = 8 |
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Answer» Correct answer is (d) 3 + x = 8 |
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| 165. |
The value of y for which the expressions (y – 15) and (2y + 1) become equal is(a) 0 (b) 16 (c) 8 (d) – 16 |
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Answer» (d) – 16 Consider the given equation (y – 15) = (2y + 1) Transpose -15 to right hand side then it becomes 15 and 2y to Left hand side then it becomes – 2y. y – 2y = 15 + 1 -y = 16 y = -16 |
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| 166. |
–1 is not a solution of the equation(a) x + 1 = 0 (b) x – 1 = 2 (c) 2y + 3 =1 (d) 2p + 7 = 5 |
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Answer» Correct answer is (b) x - 1 = 2. x - 1 = 2 -1 - 1 = 2 -2 ≠ 2 |
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| 167. |
The solution of the equation 3x + 5 = 0 is (a) 5/3 (b) – 5 (c) - 5/3 (d) 5 |
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Answer» Correct answer is (c). 3x + 5 = 0 3x = -5 x = -5/3 |
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| 168. |
Fill in the blanks to make the statements true. x –______ = 15; when x/2 = 6 . |
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Answer» x – 3 = 15; when x/2 = 6 . |
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| 169. |
Fill in the blanks to make the statements true. The solution of the equation x + 15 = 19 is______ . |
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Answer» The solution of the equation x + 15 = 19 is 4 . |
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