**Mathematics Question Papers**

**21th August 2017 (Shift-2)**

**Question-151: Select the correct option:**

Convert decimal 99 to binary.

Options:

1) 1100101

2) 1101001

3) 11100011

4) 1100011

Correct Answer: 1100011

**Question-152: Anil is twice as good as a workman as Bimal and together they finish a piece of work in 9 days. In how many days will Anil alone finish the work?**

Options:

1) 12.5

2) 11.5

3) 10.5

4) 13.5

Correct Answer: 13.5

**Question-153: What is the area (in sq cm) of a circle whose circumference is 22 cm?**

Options:

1) 77

2) 38.5

3) 44

4) 88

Correct Answer: 38.5

**Question-154: The cost price of an article is x. It is marked up by 150%. It is sold at Rs 600 after giving 40% discount. What is x (in Rs)?**

Options:

1) 400

2) 666

3) 300

4) 444

Correct Answer: 400

**Question-155: A bag has Rs.51.25 in the form of 2-rupee, 50-paise and 25-paise coins in the ratio of 3:5:7. What is the total number of 50-paise coins?**

Options:

1) 15

2) 35

3) 25

4) 5

Correct Answer: 25

**Question-156: In the first 40 overs of a 50 over innings, the run rate was 4.8 runs/over. What is the required run rate in the remaining 10 overs to reach the target of 241 runs?**

Options:

1) 6.7

2) 6.5

3) 6.3

4) 4.9

Correct Answer: 4.9

**Question-157: A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is?**

Options:

1) 25

2) 20

3) 30

4) 15

Correct Answer: 30

**Question-158: When a number is increased by 120, it becomes 130% of itself. What is the number?**

Options:

1) 400

2) 520

3) 460

4) 580

Correct Answer: 400

**Question-159: Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?**

Options:

1) 36

2) 39

3) 42

4) 45

Correct Answer: 42

**Question-160: The amount received at 10% per annum Compound interest after 3 yrs is Rs 5324. What was the principal (in Rs)?**

Options:

1) 4100

2) 4200

3) 4000

4) 4300

Correct Answer: 4000

**Question-161: If 14/3 + (1/2)(x: 7/3) = -2x/3, then the value of x is?**

Options:

1) -3

2) 3

3) 6

4) -6

Correct Answer: -3

**Question-162: If a + b = 10 and ab = 24, then what is the value of a3 + b3?**

Options:

1) 280

2) 152

3) 140

4) 72

Correct Answer: 280

**Question-163: The sum of a fraction and 3 times its reciprocal is 19/4. What is the fraction?**

Options:

1) 3/4

2) 4/3

3) 5/4

4) 4/5

Correct Answer: 3/4

**Question-164: The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?**

Options:

1) -29

2) -41

3) -47

4) -35

Correct Answer: -35

**Question-165: What is the reflection of the point (6, -1) in the line y = 2?**

Options:

1) (-2 , -1)

2) (-6 , 5)

3) (6 , 5)

4) (-2 , 1)

Correct Answer: (6 , 5)

**Question-166: Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?**

Options:

1) -11

2) 11

3) 7

4) -7

Correct Answer: 11

**Question-167: What is the equation of a line of slope 1/3 and y-intercept 5?**

Options:

1) x: 3y = -15

2) x: 3y = 15

3) x + 3y = -15

4) x + 3y = 15

Correct Answer: x: 3y = -15

**Question-168: ΔABC is right angled at B. BD is an altitude. AD = 3 cm and DC = 9 cm. What is the value of AB (in cm)?**

Options:

1) 6

2) 5

3) 4.5

4) 5.5

Correct Answer: 6

**Question-169: What is the value of Cot 60o: Sec 45o ?**

Options:

1) (√2: √3)/√6

2) (√3: 3√2)/3

3) (1: 2√2)/2

4) (1: √3)/2

Correct Answer: (√3: 3√2)/3

**Question-170: Δ ABC is right angled at B. If m∠A = 30o, what is the length of AB (in cm), if AC = 10 cm?**

Options:

1) 5

2) 5√3

3) 10√3

4) 10

Correct Answer: 5√3

**Question-171: If Cot θ = 24/7, then Sin θ = ?**

Options:

1) 24/25

2) 8/25

3) 7/25

4) 9/25

Correct Answer: 7/25

**Question-172: Which wildlife sanctuary has more tigers than D but less than F?**

Options:

1) C

2) A

3) E

4) B

Correct Answer: B

**Question-173: What will be the total number of tigers left in the six sanctuaries, if 3 tigers are killed by poachers in sanctuary E and 9 tigers are added to sanctuary A?**

Options:

1) 93

2) 96

3) 99

4) 95

Correct Answer: 96

**Question-174: What is the ratio of tigers in sanctuaries E and F to that of tigers in sanctuaries D and C?**

Options:

1) 3 : 7

2) 7 : 3

3) 5 : 2

4) 2 : 5

Correct Answer: 7 : 3

**Question-175: If the total tiger population in these six sanctuaries had grown by 20% and 25% in the previous two decades, then what was the total tiger population in these six sanctuaries before 20 years?**

Options:

1) 135

2) 150

3) 60

4) 45

Correct Answer: 60