Mu Sigma Equations Quiz-1

Question 1

Time: 00:00:00
F(x) is a fourth order polynomial with integer coefficients and with no common factor. The roots of F(x) are –2, –1, 1, 2. If p is a prime number greater than 97, then the largest integer that divides F(p) for all values of p is

70

70

120

120

240

240

360

360

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Question 2

Time: 00:00:00
Abhishek had a certain number of Re 1 coins, Rs 2 coins and Rs 10 coins. If the number of Re 1 coins he had is six times the number of Rs 2 coins Abhishek had, and the total worth of his coins is Rs 160, find the maximum number of Rs 10 coins Abhishek could have had.

12

12

10

10

8

8

6

6

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Question 3

Time: 00:00:00
(x^3-6x^2+px+q) is exactly divisible by (x^2-3x+2) then,

p+q>0 and pq>0

p+q>0 and pq>0

p+q>0 and pq<0

p+q>0 and pq<0

p+q<0 and pq<0

p+q<0 and pq<0

p+q<0 and pq>0

p+q<0 and pq>0

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Question 4

Time: 00:00:00
A small confectioner bought a certain number of pastries flavoured pineapple, mango and black-forest from the bakery, giving for each pastry as many rupees as there were pastry of that kind; altogether he bought 23 pastries and spent Rs 211; find the number of each kind of pastry that he bought, if mango pastry are cheaper than pineapple pastry and dearer than black-forest pastry.

{10, 9, 4}

{10, 9, 4}

{11, 9, 3}

{11, 9, 3}

{10, 8, 5}

{10, 8, 5}

{11, 8, 4}

{11, 8, 4}

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Question 5

Time: 00:00:00
On May 1, 2007, two organisations (A and B) were formed with n members each. On the first day of each subsequent month, m members join A while the number of members in B gets multiplied by p.

On September 2, 2007, both organisations have the same number of members. If m=20n, find p?

5

5

4

4

3

3

2

2

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Question 6

Time: 00:00:00
A man purchased 40 fruits; apples and oranges for Rs 17. Had he purchased as many as oranges as apples and as many apples as oranges, he would have paid Rs 15. Find the cost of one pair of an apple and an orange.

80 paisa

80 paisa

70 paisa

70 paisa

60 paisa

60 paisa

1 Rupee

1 Rupee

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Question 7

Time: 00:00:00
Mahesh visited his cousin Akash during the summer vacation. In the mornings, they both would go swimming. In the evenings, they would play tennis. They would engage in at most one activity per day, i.e. either they went swimming or played tennis each day. There were days when they took rest and stayed home all day long. There were 32 mornings when they did nothing, 18 evenings when they stayed at home and a total of 28 days when they swam or played tennis. What duration of the summer vacation did Mahesh stay with Akash?

46 days

46 days

36 days

36 days

39 days

39 days

58 days

58 days

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Question 8

Time: 00:00:00
A farmer has decided to build a wire fence along one straight side of his property. For this, he planned to place several fence posts at 6 m intervals, with posts fixed at both ends of the side. After he bought the posts and wire, he found that the number of posts he had bought was 5 less than required. However, he discovered that the number of posts he had bought would be just sufficient if he spaced them 8 m apart. What is the length of the side of his property and how many posts did he buy?

100 m , 15

100 m , 15

100 m, 16

100 m, 16

120 m, 15

120 m, 15

120 m, 16

120 m, 16

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Question 9

Time: 00:00:00
In a factory, each day the expected number of accidents is related to the number of overtime hour by the linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?

5

5

3

3

1

1

2

2

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["0","40","60","80","100"]
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