Linear Equations in One Variable Test

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Linear Equations in One Variable Test - 11

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Weekly Quiz Competition

Question 1
1 / -0

A rectangular box has a length (5P - 6)m and breadth is (P + 4)m. What is the breadth of the box, if its perimeter is 20 m

A
2

B
4

C
6

D
8

Solution

2 [(5P − 6) + (P + 4)] = 20 ⇒ 6P − 2 = 10 ⇒ p = 2 ∴ 5P − 6 = 4 & P + 4 = 6 = breadth
Question 2
1 / -0

Reema bought x pens at Rs 2.60 each and y greeting cards at 80 paise each. If the pens costs Rs. 12 more than the cards, the equation involving x and y is

A
13x−4y=6

B
13x−4y=60

C
260x−8y=100

D
260x−8y=12

Solution

'x' pens 'y' greeting cards Cost of all greetings card be 0.8y Cost of all pen = 2.6x ⇒ 2.6 × 0.8y + 12 ⇒ 26x − 8y = 120 ⇒ 13x − 4y = 60.
Question 3
1 / -0

If the length and breadth of a room are increased by 1 m each, its area is increased by 21 m2. If the length is increased by 1 m and breadth decreased by 1 m, the area is decreased by 5m2. Find the area of the room.

A
96 m²

B
108 m²

C
90 m²

D
60 m²

Solution

(length +1) (breadth +1) = A + 2 length (1 + 1)(b − 1)= A − 51b + 1 + b + 1 = A + 21 ....(I) 1b − 1 + b − 1 = A − 5 .....(II) (I) − (II) ⇒ 21 + 2 = 26 ⇒ lenth = 12
Question 4
1 / -0

The sum of two numbers is 69 and their difference is 17. Find the numbers.

A
43, 26

B
46, 23

C
51, 18

D
52, 17

Solution

x + y = 69 x − y = 17 ⇒ x = 43,y = 26.
Question 5
1 / -0

A two digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the original number. Find the original number

A
86

B
64

C
75

D
42

Solution

10a + b = 7(a + b) ⇒ 3a = 6b ⇒ a = 2b 10b + a or 10b + 2b = (10a + b) − 18 Or 12b = (20b + b) − 18 Or 18 = 9b ⇒ b = 2;a = 4 ⇒ 7(a + b ) =42.
Question 6
1 / -0

Five years hence, a man's age will be three times his son's age and five years ago, he was seven times as old as his son. Find their present ages.

A
36, 9

B
40, 10

C
48, 12

D
60, 15

Solution

(x + 5) = 3(y + 5) and (x − 5) = 7(y − 5) ⇒ x = 40,y = 10

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Re-Attempt Weekly Quiz Competition

Linear Equations in One Variable Test - 11

Result

Linear Equations in One Variable Test - 11

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SHARING IS CARING

Question 1

2

4

6

8

Solution

Question 2

13x−4y=6

13x−4y=60

260x−8y=100

260x−8y=12

Solution

Question 3

96 m2

108 m2

90 m2

60 m2

Solution

Question 4

43, 26

46, 23

51, 18

52, 17

Solution

Question 5

86

64

75

42

Solution

Question 6

36, 9

40, 10

48, 12

60, 15

Solution

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Question Analysis

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Rank

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96 m²

108 m²

90 m²

60 m²