Linear Equations in One Variable Test

Result

Linear Equations in One Variable Test - 13

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Weekly Quiz Competition

Question 1
1 / -0

Three consecutive numbers such that thrice the first, 4 times the second and twice the third together make 188. Find the least of the consecutive numbers.

A
18

B
21

C
19

D
20

Solution

3(a − 1) + 4a + 2(a + 1) = 188 ⇒ 9a − 3 + 2 = 188 ⇒ 9a = 189 ⇒ a = 21 a − 1 = 20
Question 2
1 / -0

A man is four times as old as his son. After 2 years the man will be three times as old as his son. What is the present age of the man?

A
20 years

B
16 years

C
4 years

D
24 years

Solution

x = 4y x + 2 = 3 (y + 2) Solving, x = 16: y = 4
Question 3
1 / -0

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts in all 40 questions and scored 120 marks, the number of questions he attempts incorrectly is: -

A
8

B
32

C
16

D
12

Solution

Let correctly attempted Q's be n Incorrectly attempted Q′s = 40 − n ⇒ n × 4 + (40 − n)( − 1) = 120 ⇒ 4n − (40 − n) = 120 ⇒ 5n − 40 = 120 ⇒ 5n = 160 n = 32 ⇒ 40 − n = 8.