Linear Equations in One Variable Test

Result

Linear Equations in One Variable Test - 10

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

A 2-digit number is less than 20. The sum of the digits is double that of their product. What is the number?

A
12

B
15

C
13

D
11

Solution

Since, 2 digit number is less then 20 so tens digit =1. Let ones digit of the number be x According to question, we have 1 + x = 2(1 × x) ⇒1 + x = 2x ⇒ x = 1 ∴ Required numbers 11.
Question 2
1 / -0

Sunita is twice a sold as Ashima. If six years is subtracted from Ashima's age and four years added to Sunita's age, then Sunita will be four times that of Ashima's age. Find the sum of their ages two years ago.

A
40 years

B
42 years

C
36 years

D
38 years

Solution

Let age of Ashima be x years. Then, age of Sunita Is 2x years, According to question, we have 4 (x6) = 2x + 4 ⇒ 4x − 24 = 2x + 4 ⇒ 2x = 28 ⇒ x = 14 ∴ Age of Ashima =14 years Age of Sunita =2×14=28 years Sum of their ages = 42 years Hence, two years ago they were 42 - 4 = 38 years
Question 3
1 / -0

At a party, colas, squash and fruit juice were offered to guests. One-fourth of the guests drank colas, One-third drank squash, two-fifths drank fruit juice and just three did not drink anything. How many guests were there in all?

A
240

B
180

C
144

D
190

Solution

Let total number of guests at the party be x Number of guests who drank colas=1/4x Number of guests who drank squash=1/3x Number of guests who drank fruit juice

=2/5x Number of guests who did not drank anything = 3 According to question, we have
Question 4
1 / -0

A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, find the speed of the steamer in still water.

A
12 km/hr

B
11 km/hr

C
13 km/hr

D
14 km/hr

Solution

Let the speed of the steamer in still water be x km/hr. Speed of the stream = 1 Km/hr Downstream speed = (x + 1) km/hr Upstream speed = (x - 1) km/hr According to question, 5(x + 1) = 6(x- 1) ⇒ 5x + 5= 6x −6 ⇒5 +6 = 6 x − 5 x ⇒x = 11 Hence, the speed of the steamer in still water is 11 km/hr.