# Lakshay Algebra Quiz- 1

Question 1

Time: 00:00:00
When Lord Krishna was creating the universe, he used to make lines joining several points. Find the number of triangles that he can create using 17 points in a plane such that 11 points are collinear?

365

365

515

515

480

480

285

285

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Question 2

Time: 00:00:00
PM Narendra Modi had to arrange several books on his shelf. In how many ways Narendra Modi can arrange 10 books on a shelf such that a particular pair of books should always be together?

9! * 4!

9! * 4!

9! * 2!

9! * 2!

10! * 2!

10! * 2!

none of the above

none of the above

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Question 3

Time: 00:00:00
Issac Newton while demonstrating mathematics problems in Harvard University says, Eight balls of different colours need to be placed in three boxes of different sizes. Each box can hold all the eight balls. In how many ways can the balls be placed in the boxes so that no box remains empty

1122

1122

2234

2234

5796

5796

6684

6684

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Question 4

Time: 00:00:00
In how many different ways can the letters of the word 'CREATE' be arranged in such a way that the vowels occupy only the odd positions?

34

34

36

36

32

32

28

28

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Question 5

Time: 00:00:00
Out of 7 BMW’s and 4 Volkswagen, how many groups of cars of 3 BMW and 2 Volkswagen can be formed?

25200

25200

21300

21300

24400

24400

210

210

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Question 6

Time: 00:00:00
In the Phir Hera Pheri movie, for performing stunts in the circus scene 6 men and 4 women volunteered, out of which only 4 can be selected. In how many different ways can they be selected such that at least one man should be there?

212

212

209

209

159

159

201

201

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Question 7

Time: 00:00:00
In the movie Hum Saath Saath Hain, when Vivek and Sadhna decided to go on a trip to Bhangarh, they asked who wanted to go with them from the youngsters of the family. There were 7 boys and 6 girls, but only 5 of them can go on the trip and there should be at least 3 boys. In how many ways can it be done?

702

702

624

624

756

756

812

812

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Question 8

Time: 00:00:00
Once Issac Newton asked a Hippocrates (a famous Physician), in how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

920

920

825

825

720

720

610

610

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Question 9

Time: 00:00:00
Muskesh Ambani asks one of his employees in the Interview Round, in how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

42000

42000

48000

48000

50400

50400

47200

47200

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Question 10

Time: 00:00:00
In a mathematical seminar, where Elbert Einstein was explaining permutation and combination using Alphabets, he asked, ten different letters of the alphabet are given. Words with six letters are formed from these given letters. Find the number of words which have at least one letter repeated?

$^{10}C_{6}$

$^{10}C_{6}$

$10^{6}$

$10^{6}$

$10^{6} - ^{10}P_{6}$

$10^{6} - ^{10}P_{6}$

$^{10}P_{6}$

$^{10}P_{6}$

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