class 10 maths chapter 1 quiz 4e

#1. (6 + 5 √3) - (4 - 3 √3) is

(c) a natural number

(a) a rational number

(d) an integer

(b) an irrational number

#2. If LCM (77, 99) = 693, then HCF (77, 99) is

(c) 9

(b) 7

(a) 11

(d) 22

#3. The number in the form of 4p + 3, where p is a whole number, will always be

(b) odd

(a) even

(c) even or odd

(d) multiple of 3

#4. Euclid's division lemma states that for two positive integers a and b, there exist unique integer q and r such that a = bq + r, where r must satisfy

(d) 0 ≤ r < b

(b) 0 < r ≤ b

(c) 1 < r < b

(a) a < r < b

#5. If HCF (16, y) = 8 and LCM (16, y) = 48, then the value of y is

(c) 8

(a) 24

(d) 48

(b) 16

#6. For positive integers a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy:

(a) 0 < r < 3

(d) 0 < r < 3

(b) 1 < r < 3

(c) 0 < r < 3

#7. Find the greatest number of 5 digits, that will give us remainder of 5 when divided by 8 and 9 respectively.

(b) 99931

(d) 99951

(a) 99921

(c) 99941

#8. The product of two consecutive natural numbers is always:

(d) even or odd

(a) prime number

(b) even number

(c) odd number

#9. When a number is divided by 7, its remainder is always:

(b) at least 7

(c) less than 7

(a) greater than 7

(d) at most 7

#10. If the HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408xp, then the value of p is

(d) -4

(b) -5

(c) 4

(a) 5