Grade 10 - Real-Numbers

(Sample Online worksheet)

Choose correct answer(s) from given choice

1)√5 + √3 is __________ number
a. a whole b. a natural
c. a rational d. an irrational
2)In a school annual day function parade, a group of 792 students need to march behind the band of 407 members. The two groups have to march in the same number of columns. What is the maximum number of columns in which they can march ?
a. 13 b. 11
c. 10 d. None of above
3)Two tankers contain 264 litres and 108 litres of petrol respectively. Find the maximum capacity of the container which can measure the petrol of either tanker in exact number of litres.
a. 11 b. 13
c. 12 d. None of above
4)Laura and George are racing on a circular track. If Laura takes 364 minutes and George takes 210 minutes to complete the round. If they both start at the same point at the same time and go in same direction, after how many minutes will they meet again ?
a. 5460 b. 388
c. 390 d. None of above
5)The HCF of 258 and 174 is
a. 6 b. 5
c. 11 d. None of above
6)Which of the following is not an irrational number ..
a. 4 - 5√25 b. 7 + 2√2
c. 9 - 8√3 d. 5 - 2√3
7)Two tankers contain 940 litres and 270 litres of petrol respectively. A container with maximum capacity is used which can measure the petrol of either tanker in exact number of litres. How many containers of petrol are there in the first tanker.
a. 94 b. 9
c. 95 d. 92
8)Euclid's Division Lemma states that if a and b are any two positive integers, then there exist unique integers c and d such that
a. a=bc + d, 0 < c ≤ b b. a=bc + d, 0 ≤ c < b
c. a=bc + d, 0 < d ≤ b d. a=bc + d, 0 ≤ d < b
9)√11 is __________ number
a. an irrational b. a rational
c. a natural d. whole
10)Three person go for morning walk together. Their steps measure 84, 126 and 154 respectively. At what distance their steps will meet for the first time after starting the walk ?
a. 14 b. 2772
c. 38808 d. 2750
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