Mathematics - Class 11 Mock Test 5

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Question 1 of 10

1. The longest side of a triangle is 2 times the shortest side and the third side is 4 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

Question 1 of 10

Question 2 of 10

2. Find the number of 5 letter words which can be formed from word PULSE without repetition.

240

120

Question 2 of 10

Question 3 of 10

3. According to De Moivre's theorem what is the value of z^1/n ?

r^1/n [cos(2kπ + θ) + i sin(2kπ + θ)]

r^1/n [cos(2kπ + θ) - i sin(2kπ + θ)]

r^1/n [cos(2kπ + θ)/n + i sin(2kπ + θ)/n]

r^1/n [cos(2kπ + θ)/n - i sin(2kπ + θ)/n]

Question 3 of 10

Question 4 of 10

4. Rahul obtained 20 and 25 marks in first two tests. Find the minimum marks he should get in the third test to have an average of at least 30 marks.

180

Question 4 of 10

Question 5 of 10

5. Find the number of 5 letter words which can be formed from word IMAGE without repetition using permutations.

120

240

Question 5 of 10

Question 6 of 10

6. Find the number of words which can be made using all the letters of the word IMAGE. If these words are written as in a dictionary, what will be the rank of MAGIE?

100

Question 6 of 10

Question 7 of 10

7. Find the number of 5 letter words which can be formed from word PULSE if repetition is allowed.

120

3125

125

Question 7 of 10

Question 8 of 10

8. How many 5-digit numbers are possible without repetition of digits?

50400

90000

100000

27216

Question 8 of 10

Question 9 of 10

9. If ⁿP₃ = 4*ⁿP₂. Find n.

Question 9 of 10

Question 10 of 10

10. If a code involves one letter of English alphabet at first place and a number at second place. Numbers can be used from 1 to 9. How many codes are possible using the letters of alphabet and numbers?

260

324

234

314

Question 10 of 10