CBSE Class 9 Maths Number Systems MCQs Set D

Question: The rationalising factor of 7√x³y⁵z² is __.
a) ⁷√z⁵y²x⁴
b) ⁴√x³y²z
c) √x₄y²z⁵
d) ³√y²x⁴z³
Answer: b

Question: The fraction

Answer: d
 

Question: The 100^th root of 10⁽¹⁰¹⁰ ) is __.
a) 10⁸¹⁰
b) 10¹⁰⁸
c) (√10)^(√10)10
c) 10^(√10)√10
Answer: a

Question: If ‘a’ and ‘b’ are rational numbers and 2+√3 / 2-√3 = a+b√3 then (a + b)² = ……………..
a) 121
b) 171
c) 116
d) 198
Answer: a

Question: 1.224 can be expressed as a fraction in simplest form as __.
a) 450/551
b) 1224/1000
c) 551/450
d) 1000/1224
Answer: c

Question: Sam, Advik and Trishu go for a morning walk. They step off together and their steps measure 35 cm, 32 cm and 40 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?
a) 1109
b) 1102
c) 1100
d) 1120
Answer: c

Question: The product of two consecutive natural numbers is always _.
a) An even number
b) An odd number
c) A prime number
d) Divisible by 3
Answer: a

Question: The value of

Answer: c

Question: According to the Fundamental Theorem of Arithmetic, if p (a prime number) divides b² and b is positive, then __.
a) b divides p
b) b² divides p
c) p divides b
d) None of these
Answer: a

Question: Given that H.C.F. (306, 954, 1314) = 18, find L.C.M. (306, 954, 1314).
a) 1183234
b) 1123238
c) 1183914
d) 1123328
Answer: c

Question: The descending order of the surds ³√2,⁶√3,⁹√4 is __.
a) ⁹√4,⁶√3,³√2
b) ⁹√4,³√2,⁶√3
c) ³√2,⁶√3,⁹√4
d) ⁶√3,⁹√4,³√2
Answer: c

Question: Which of the following numbers have terminating decimal expansion?
a) 8/225
b) 5/18
c)11/21
d) 21/21150
Answer: d

Question: Which of the following is an irrational number?
a) π
b) 22/7
c) Both π and 22/7
d) Neither π nor 22/7
Answer: d

Question: The value of

a) 0
b) 1
c) 2
d) 4
Answer: c

Question: A real number

a) Terminating decimal expansion
b) Non-terminating decimal expansion
c) Repeating decimal expansion
d) Both Non-terminating decimal expansion and Repeating decimal expansion
Answer: a

Question: A boy was asked to multiply a given number by (8/17). Instead, he divided the given number by (8/17) and got the result 225 more than what he should have got if he had multiplied the number by (8/17). The given number was ________.
a) 8
b) 17
c) 64
Answer: b

Question: In a seminar the number of participants in Mathematics, Physics and Biology are 192, 240 and 168. Find the minimum number of rooms required if in each room same number of participants is to be seated and all of them being in the same subject.
a) 20
b) 25
c) 28
d) 30
Answer: d

Question: A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9s are wrong and the other digits are correct, then the correct answer would be ________.
a) 553681
b) 555181
c) 555681
d) 556581
Answer: c

Question: Four different electronic devices make a beep after every 30 minutes, 1 hour,1 X 1 / 2 hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at ________.
a) 12 midnight
b) 3 a.m.
c) 6 a.m.
d) 9 a.m.
d) 136
Answer: d

Question: Which of the following statements is INCORRECT?
a) For natural numbers a and b, if a divides b² then a divides b.
b) For any natural number n, √n −1 + √n +1 is irrational.
c) Product of distinct prime numbers is always equal to their L.C.M.
d) For any natural number n, 6n never ends with digit zero.
Answer: a

Question: A positive integer n when divided by 9, gives 7 as remainder. What will be the remainder when (3n – 1) is divided by 9?
a) 1
b) 2
c) 3
d) 4
Answer: b

Question: Four different electronic devices make a beep after every 30 minutes, 1 hour,1 X 1 / 2 hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at ________.
a) 12 midnight
b) 3 a.m.
c) 6 a.m.
d) 9 a.m.
d) 136
Answer: d

Question: A boy was asked to multiply a given number by (8/17). Instead, he divided the given number by (8/17) and got the result 225 more than what he should have got if he had multiplied the number by (8/17). The given number was ________.
a) 8
b) 17
c) 64
Answer: d

Question: A charitable trust donates 28 different books of Maths, 16 different books of Science and 12 different books of Social is given maximum number of books of only one subject of their interest and each student got equal number of books.
a) Find the number of books each student got.
b) Find the total number of students who got books.
   (a) (b)
a) 4 14
b) 3 10
c) 4 10
d) 3 15
Answer: a

Question: Fill in the blanks.
(i) Every point on the number line is a number which may either Q or R .
(ii) S numbers have either terminatingor non-terminating repeating decimal expansion.
     P                Q               R           S
a) Real          Integer    Natural     Irrational
b) Rational     Integer   Real          Irrational
c) Irrational   Rational   Integers    Natural
d) Real          Rational   Irrational   Rational
Answer: d

Question: Read the statements carefully and state ‘T’ for true and ‘F’ for false.
(i) 501/25 is a terminating decimal.
(ii) 621/125 is a non-terminating decimal.
(iii) 6805/27 × 52 is a non-terminating decimal.
(iv) 7105/7 × 52 is a terminating decimal.
(i) (ii) (iii) (iv)
a) F T T F
b) T F T T
c) T T F F
d) F T F T
Answer: b

Question: Match the following.

a) (P) → (iii); (Q) → (iv); (R) → (i); (S) → (ii)
b) (P) → (iv); (Q) → (i); (R) → (ii); (S) → (iii)
c) (P) → (iii); (Q) → (i); (R) → (iv); (S) → (ii)
d) (P) → (i); (Q) → (iii); (R) → (iv); (S) → (ii)
Answer: c