Que 1
If a= x⁴y²,b= x²y³ then LCM (a,b) is
a) x⁸y⁶
b ) x⁶y⁵
c) x⁴y³
d) none of these
Ans ( c)
Que 2
If LCM (32,a) = 64 and HCF (32,a) = 4 then value of a is
a) 16
b ) 8
c) 20
d) 10
Ans (b)
Que 3
Three bells rings at intervals 5,3,15 minutes. All three rang at 10 am when will they ring again together
a) 10:10 am
b) 10 :15 am
c) 10: 20 am
d ) none of these
Ans ( b )
Que 4
HCF of two numbers is 4 their product is 160 LCM is
a) 40
b) 60
c) 80
d) 120
Ans (a)
Que 5
Find least number that is divisible by all numbers from 3 to 7 ( both numbers included)
a) 400
b) 410
c) 420
d) 430
Ans ( c)
Que 6
What is smallest number must be multiplied and denominator so that the decimal number 14588/625 will be terminated
a) 4
b)18
c) 16
d) 20
Ans (c)
Que 7
If x² = ( 1+ 2/36. + 5/ 6) then value of x is
a) irrational
b) rational
c) whole
d) integer
Ans (a)
Que 8
Prime factors of denominator of a rational number with decimal expansion 62.47 are
a) 2 and 35
b) 2 and 5
c) 3 and 5
d) 4 and 5
Ans ( b)
Que 9
The decimal expansion of rational number 53/2³×5. will terminate after how many decimal
a) 1
b) 3
c) 4
d) 2
Ans ( b)
Que 10
The decimal number of (21/8 +7/40) terminates after how many places
a) 2
b) 1
c) 3
d) 4
Ans ( b)
Que 11
The smallest number by which 1/17 should be multiplied so that decimal expansion terminate after one decimal place
a) 17/100
b) 17/10
c) 100/17
d) 10/17
Ans ( b)
Solution
Q1. The decimal expansion of 22/7 is:
(a) Terminating
(b) Non-terminating and repeating
(c) Non-terminating and Non-repeating
(d) None of the above
Answer: (b) Non-terminating and repeating
Q2. For any two positive integers a and b, HCF(a, b) × LCM(a, b) =
(a) a/b
(b) a – b
(c) a + b
(d) a × b
Answer: (d) a × b
Q3. The values of the remainder r, when a positive integer a is divided by 3 are:
(a) 0, 1, 2
(b) Only 1
(c) Only 0 or 1
(d) 1, 2
Answer: (a) 0, 1, 2
Q4. Which of the following numbers is not a rational number?
(a) 2/3
(b) –5
(c) √2
(d) 0
Answer: (c) √2
Q5. Which of the following is an irrational number?
(a) 4/5
(b) –10
(c) √5
(d) 0.333...
Answer: (c) √5
Q6. The product of any two irrational numbers is:
(a) Always irrational
(b) Always rational
(c) Always integer
(d) Sometimes rational, sometimes irrational
Answer: (d) Sometimes rational, sometimes irrational
Q7. The value of 1.999… is:
(a) 19/10
(b) 1999/1000
(c) 2
(d) 1/9
Answer: (c) 2
Q8. 2√3 × √3 + 1 is equal to:
(a) 2√9
(b) 6
(c) 7
(d) 4√6
Answer: (c) 7
Q9. Between two rational numbers:
(a) There is no rational number
(b) There is exactly one rational number
(c) There are infinitely many rational numbers
(d) There are only rational numbers, no irrationals
Answer: (c) There are infinitely many rational numbers
Q10. Product of two numbers is 1500 and their LCM is 750. What is their HCF?
(a) 1
(b) 2
(c) 8
(d) 10
Answer: (b) 2
Q11. Which is the largest number that divides 70 and 125 leaving remainders 5 and 8 respectively?
(a) 14
(b) 17
(c) 23
(d) 13
Answer: (d) 13
Q12. Numbers which are used as infinite decimal expansion (except complex numbers) are called:
(a) Rational numbers
(b) Irrational numbers
(c) Real numbers
(d) Integers
Answer: (c) Real numbers
Q13. Which one of the following is not a real number?
(a) –(1/3)^(1/2)
(b) √–4
(c) π
(d) –1/√2
Answer: (b) √–4
Q14. The mean of first n odd natural numbers is:
(a) (n+1)/2
(b) n/2
(c) n
(d) More than one of these
Answer: (c) n
Q15. A whole number is added to 25 and the same number is subtracted from 25. Their sum is:
(a) 0
(b) 25
(c) 50
(d) 75
Answer: (c) 50
Q16. The difference between the smallest 4-digit number and the largest 2-digit number is:
(a) 91
(b) 900
(c) 991
(d) 901
Answer: (d) 901
Q17. If x is real and |x| < 3, then:
(a) x > 3 or x < –3
(b) –3 < x < 3
(c) x = 3
(d) x = –3
Answer: (b) –3 < x < 3
Q18. Euclid’s division lemma states:
(a) a = bq + r, 0 ≤ r < b
(b) a = bq + r, 0 < r < b
(c) a = bq – r, 0 ≤ r < b
(d) a = bq + r, r = 0
Answer: (a) a = bq + r, 0 ≤ r < b
Q19. HCF of 3³ × 5 and 3² × 5² is:
(a) 3³ × 5²
(b) 3² × 5
(c) 3² × 5²
(d) 3³ × 5
Answer: (b) 3² × 5
Q20. The number 7 × 11 × 13 + 13 is:
(a) Prime
(b) Negative integer
(c) Irrational
(d) Composite
Answer: (d) Composite
Q21. n² – 1 is divisible by 8 if n is:
(a) Any integer
(b) A natural number
(c) An odd integer
(d) An even integer
Answer: (c) An odd integer
Q22. Which of the following has terminating decimal expansion?
(a) 11/2000
(b) 71/8100
(c) 31/150
(d) 1/12
Answer: (a) 11/2000
Q23. The only prime which divides 4ⁿ is:
(a) 2
(b) 4
(c) 2 and 4
(d) None
Answer: (a) 2
Q24. If HCF of a and b is 12 and a × b = 1800, then LCM(a, b) =
(a) 150
(b) 21600
(c) 144
(d) 120
Answer: (a) 150
Q25. A number N when divided by 14 gives remainder 5. Then when divided by 7, remainder is:
(a) 5
(b) 0
(c) 1
(d) 2
Answer: (a) 5
Q26. Number of zeroes at the end of 2² × 5³ × 3² × 17 is:
(a) 2
(b) 3
(c) 4
(d) 0
Answer: (a) 2
Q27. LCM of 12, 15, 21 is:
(a) 1260
(b) 420
(c) 360
(d) 180
Answer: (b) 420
Q28. Decimal expansion of 21/24 terminates after:
(a) 2 places
(b) 3 places
(c) 1 place
(d) 4 places
Answer: (b) 3
Q29. Minimum number of books to be distributed equally among classes of 30, 32, 36 students is:
(a) 36
(b) 30
(c) 288
(d) 1440
Answer: (d) 1440
Q30. A rational number has terminating decimal if denominator (in simplest form) has factors:
(a) 2, 3, 5
(b) 3 and 5
(c) 2 and 3
(d) 2 and 5
Answer: (d) 2 and 5
Wed Jan 11, 2023
Launch your Graphy