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Sample Paper 2

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In this series of providing sample papers to our readers, CrackMyMBA presents to you Sample Paper – 2 prepared by our team. Please use this sample paper prepared by us from the information in the public domain for your practice.

Q1 Find the minimum value of x2 – 10x – 6

  1. 1.      -25
  2. -50
  3. -10
  4. -20

Q2. Find the maximum value of 1 + 2x – 3x2

  1. 2/3
  2. 4/5
  3. 3.      4/3
  4. 6/5

 Q3. The numbers a, b, c, d and e satisfy the following conditions:

13a + 26b + 2c + 13d + 3e = 18

6a + 12b  +  c  +  6d +  e  =  7

5a + 10b  +  c  +  5d +  e  = 6

Find the value of e.

a)      2

b)      7

c)      1

d)     3

Q4. If the equation x2 + 2(p + 2)x + 9p = 0 has equal roots, find the value of p.

a)      1

b)      5

c)      3

d)      8

Q5 In the following figure, length of chord AB = 12. O-P-C is a perpendicular drawn to AB from center O and intersecting AB and the circle at P and C respectively. If PC = 2, find the length of OB.

 

Sample Paper 2 Chart 1

Chart 1

a)      14

b)      20

c)      5

d)     10

Q6. In the figure AB and CD are two diameters of the circle intersecting at an angle of 48°. E is any point on arc CB. Find angle CEB.

Sample Paper 2 Chart 2

Chart 2

a)      114°

b)      120°

c)      108°

d)      None of these

Q7. In the figure below, AB is a diameter of the circle and C and D are such points that CD = BD. AB and CD intersect at O. If angle AOD = 45°, find angle ADC

 

Sample Paper 2 Chart 3

Chart 3

a)      70°

b)     60°

c)      45°

d)      30°

Q8. In the following figure, if PC = 6, CD = 9, PA = 5 and AB = x, find the value of x

Sample Paper 2 Chart 4

Sample Paper 2 Chart 4

 

 

 

 

 

 

a)      15

b)      12

c)      11

d)     13

Q9. Let N = 999 999 999 999 999 999. How many 9’s are there in N2?

a)      17

b)      19

c)      15

d)      13

Q10 For how many integers n is n4 + 6n < 6n3 + n2?

a)      5

b)      6

c)      4

d)      3

Q11. For which integer n is 28 + 211 + 2n is a perfect square?

a)      6

b)      4

c)      8

d)     12

 Q12. The value of

Sample Paper 2 Chart 5

 

 

a)      -i

b)       i

c)      1

d)      -1

Q13. If a man cycles at 10 km/hr, then he arrives at a certain place at 1p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?

a)      11 km/h

b)     12 km/h

c)      13 km/h

d)      14 km/h

Q14. Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km.hr, reaches B, and returs to A at the same speed. Shyam starts at 9.45 a.m from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time does Shyam overtake Ram?

a)      10.20 a.m

b)     10.30 a.m

c)      10.40 a.m

d)      10.50 a.m

Q15. Karan and Arjun run a 100 metre race where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100-metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?

a)      Karan and Arjun reach the finishing line simultaneously.

b)      Arjun beats Karan by 1 metre.

c)      Arjun beats Karan by 11 metres.

d)     Karan beats Arjun by 1 metre.

Q16. Three runners A,B,C run a race, with runner A finishing 12 m ahead of runner B and 18m ahead of runner C, while runner B finishes 8m ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

a)      36 m

b)     48 m

c)      60 m

d)      72 m

Q17. A watermelon contains 85% water. 30 g of water evaporates from the watermelon and now it contains 80% water. What was the original weight of the watermelon?

a)      130 g

b)      90 g

c)      120 g

d)      140 g

Q18. In an examination, a candidate who scores 20% of the total marks fails by 40 marks whereas a candidate who scores 40% of the total marks passes by 120 marks. Then, the total marks possible in the examination are

a)      900

b)     800

c)      600

d)      700

Q19. If the price of petrol increases by 10%, by what percentage must the consumption be decreased to keep the expenditure constant?

a)      9.1%

b)      8.5%

c)      9.5%

d)      8.1%

Q20. The performance bonus of a salesman increases by 10% in the first year, by 20% in the second year, and by 30% in the third year. What is the overall percentage increase in his bonus in 3 years?

a)      75%

b)     71.6%

c)      83.5%

d)      65.6%

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