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Hitbullseye Bulls Eye Mock Sample Paper
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Hitbullseye Bulls Eye Mock Sample Questions
1. The daily wages of Kalu and Bawa and also of Bawa and Lalit are in the ratio 2 : 3 each. A third of Lalit’s wages exceeds half of Kalu’s wages by Rs.80. Each of them spends the same amount of money and their savings are in the ratio 1 : 9 : 21. What is their combined expenditure?
1. Rs.300
2. Rs.450
3. Rs.900
4. Rs.280
2. The number of ordered triplets (k, l, m) such that k, l and m are distinct prime numbers and kl + lm + km = 120 is
1. 9
2. 0
3. 3
4. Infinite
3. Which of the following is true?
1. (150!)2 < 150150
2. (170)170 < (170!)2
3. (130!)2 < (130)130
4. None of these
4. Arvind built a fence using 48 posts to enclose a square field. He placed the posts 5 metres apart. What is the area of the field bounded by the fence?
1. 4225 m2
2. 3600 m2
3. 3025 m2
4. 2025 m2
5. Pitamber selected four numbers from out of n consecutive natural numbers such that the differences between the two numbers in all possible pairs are distinct. What is the least possible value of n?
1. 7
2. 8
3. 11
4. 13
6. With a view to increasing competition among his students, the principal of St. John’s High School has decided to distribute books to the students. The number of books is more than the number of students. Each of the books is different from the other. There are p students and q books, but each student will get a minimum of 1 book and a maximum of (p – 1) books. Find the total number of ways of distributing the books.
1. qp – 1
2. pq
3. qp – p
4. None of these
7. How many positive integers less than 143 are relatively prime to 143?
1. 142
2. 120
3. 43
4. None of these
8. Rahim has Rs.4,096 with him and he places bets 6 times. Each time he places a bet, he stakes onefourth of the total money that he has at the time of placing the bet. If he wins the bet, he gets back the sum of money he had staked and wins a sum equal to the money he had staked and if he loses the bet, he loses the sum of money he had bet. If the probability of winning a bet is 0.5 and it is known that Rahim wins 3 bets and loses 3 of them, find the money left with Rahim at the end of all the bets.
1. Rs.3,375
2. Rs.721
3. Rs.3072
4. Cannot be determined
9. Which of the following statement(s) is/are correct?
I. a2 + a + 41 gives a prime number for all natural numbers a.
II. A number, sum of whose digits is 15, can never be a perfect square.
1. Only I
2. Only II
3. Both of them
4. None of these
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