Assignment 1
Chapter-1 Real Numbers
MULTIPLE CHOICE QUESTIONS (1 MARK QUESTIONS)
1. The greatest possible speed at which a man can walk 135 km and 225 km in exact number of
hours is:
(a) 5 km/hr (b) 15 km/hr (c) 65 km/hr (d) 45 km/hr
2.Which of the following is an incorrect statement?
(a) π is an irrational (b) 2 is a rational
(c) Every rational number is a real number (d) Every real number is a rational number
3.LCM of smallest prime number and smallest 2 digit number is
(a) 2 (b) 4 (c) 10 (d) 20
3 2 2 2 2 3 3 2 n 3 2 5
4.If a =𝑥 𝑦 𝑧 , b= 𝑥 𝑦 𝑧 , and c=𝑥 𝑦 𝑧 and the LCM ( a,b,c) = 𝑥 𝑦 𝑧 then the value of n is:
(a) 3 (b) 2 (c) 5 (d) 1
5.The largest number that will divide 445, 572 and 699 leaving remainders 4, 5 and 6 respectively
is:
(a) 63 (b) 36 (c) 34 (d) 45
ASSERTION AND REASONING QUESTIONS
Directions: In the following questions, a statement of assertion is followed by a statement of
reason. Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of
Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true
6.Assertion(A): The HCF of two numbers is 2 and their LCM is 15 .
Reason(R): HCF is a factor of LCM.
7. Assertion (A): If the HCF of two numbers is 1, they are said to be co-prime.
Reason (R): The LCM of two co-prime numbers is always equal to their product.
8.Assertion (A): The decimal expansion of 7/8 is terminating.
Reason (R): A rational number has a terminating decimal expansion if its denominator has only
powers of 2 and/or 5 in prime factorization.
SHORT ANSWER TYPE QUESTIONS (2 marks Questions)
9. Find the least positive integer which is divisible by the first 5 natural numbers.
10. Two tankers contain 850 liters and 680 liters of petrol. Find the maximum capacity of a
container which can measure the petrol of each tanker in the exact number of times.
11. Three bells toll at intervals of 9, 12, 15 minutes respectively. If they start tolling together, after
what time will they next toll together?
12. The length, breadth, and height of a room are 8 m 50 cm, 6 m 25 cm and 4 m 75 cm
respectively. Find the length of the longest rod that can measure the dimensions of the room
exactly.
Chapter-1 Real Numbers
MULTIPLE CHOICE QUESTIONS (1 MARK QUESTIONS)
1. The greatest possible speed at which a man can walk 135 km and 225 km in exact number of
hours is:
(a) 5 km/hr (b) 15 km/hr (c) 65 km/hr (d) 45 km/hr
2.Which of the following is an incorrect statement?
(a) π is an irrational (b) 2 is a rational
(c) Every rational number is a real number (d) Every real number is a rational number
3.LCM of smallest prime number and smallest 2 digit number is
(a) 2 (b) 4 (c) 10 (d) 20
3 2 2 2 2 3 3 2 n 3 2 5
4.If a =𝑥 𝑦 𝑧 , b= 𝑥 𝑦 𝑧 , and c=𝑥 𝑦 𝑧 and the LCM ( a,b,c) = 𝑥 𝑦 𝑧 then the value of n is:
(a) 3 (b) 2 (c) 5 (d) 1
5.The largest number that will divide 445, 572 and 699 leaving remainders 4, 5 and 6 respectively
is:
(a) 63 (b) 36 (c) 34 (d) 45
ASSERTION AND REASONING QUESTIONS
Directions: In the following questions, a statement of assertion is followed by a statement of
reason. Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of
Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true
6.Assertion(A): The HCF of two numbers is 2 and their LCM is 15 .
Reason(R): HCF is a factor of LCM.
7. Assertion (A): If the HCF of two numbers is 1, they are said to be co-prime.
Reason (R): The LCM of two co-prime numbers is always equal to their product.
8.Assertion (A): The decimal expansion of 7/8 is terminating.
Reason (R): A rational number has a terminating decimal expansion if its denominator has only
powers of 2 and/or 5 in prime factorization.
SHORT ANSWER TYPE QUESTIONS (2 marks Questions)
9. Find the least positive integer which is divisible by the first 5 natural numbers.
10. Two tankers contain 850 liters and 680 liters of petrol. Find the maximum capacity of a
container which can measure the petrol of each tanker in the exact number of times.
11. Three bells toll at intervals of 9, 12, 15 minutes respectively. If they start tolling together, after
what time will they next toll together?
12. The length, breadth, and height of a room are 8 m 50 cm, 6 m 25 cm and 4 m 75 cm
respectively. Find the length of the longest rod that can measure the dimensions of the room
exactly.
