10 Question MCQ (including Assertion)

Question 1 of 10

Which pair of quantities is directly proportional under the stated condition?

A Number of taps and filling time for one tank B Workers and days for one fixed job C Speed and time for one fixed route D Length of cloth and price at a fixed rate per metre

Select one option. Answers are shown after the test.

Question 2 of 10

Use the grade distribution shown.

Grade	A	B	C	D	E
Students	12	10	8	6	4

What is the simplest ratio A : B : C : D : E?

A 6 : 5 : 4 : 3 : 2 B 12 : 5 : 4 : 3 : 2 C 3 : 5 : 4 : 6 : 2 D 6 : 10 : 8 : 6 : 4

Select one option. Answers are shown after the test.

Question 3 of 10

Assertion (A): A triangle can be constructed with sides in the ratio 1 : 3 : 5.
Reason (R): The two smaller terms have sum 4, which is less than 5.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 4 of 10

Triangles with side lengths in the ratio 3 : 4 : 5 are always:

A congruent B equilateral C the same size D the same shape but not necessarily the same size

Select one option. Answers are shown after the test.

Question 5 of 10

Data are in the ratio 3 : 2 : 1. Which set of pie-chart angles is correct?

A 120°, 120°, 120° B 180°, 120°, 60° C 150°, 120°, 90° D 210°, 100°, 50°

Select one option. Answers are shown after the test.

Question 6 of 10

Assertion (A): If x and y are inversely proportional and x = 16 when y = 9, then x = 3 when y = 48.
Reason (R): Both pairs have the same product: 16×9 = 3×48 = 144.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 7 of 10

A 90 km journey takes 3 hours at 30 km/h. How long will it take at 60 km/h?

A 6 hours B 2 hours C 1.5 hours D 1 hour

Select one option. Answers are shown after the test.

Question 8 of 10

Forty-two machines make a fixed number of toys in 63 days. How many identical machines are needed to finish in 54 days?

A 36 B 42 C 45 D 49

Select one option. Answers are shown after the test.

Question 9 of 10

Assertion (A): RF 1 : 60,00,000 means 1 cm on a map represents 60 km on the ground.
Reason (R): Road distance between two places may exceed their geographical distance.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 10 of 10

Assertion (A): A pie chart compares parts of a whole.
Reason (R): A map scale is written as a ratio between map and ground distances.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

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10 Question MCQ (including Assertion)