**Quantitative Aptitude Question Papers**

**12th August 2017 (Shift-1)**

**Question-51: If 56M4 is completely divisible by 11, then what is the value of M?**

Options:

1) 0

2) 1

3) 3

4) 5

Correct Answer: 5

**Question-52: A and B can together do a piece of work in 10 days. If A works with twice of his efficiency and B works with an efficiency 1/3rd less than his efficiency, then the work gets completed in 6 days. In how many days can A and B do the work alone respectively?**

Options:

1) 40/3, 40

2) 20/3, 20

3) 30, 20/3

4) 50/3, 25

Correct Answer: 40/3, 40

**Question-53:**

Options:

1) 1200

2) 1800

3) 2400

4) 2800

Correct Answer: 2400

**Question-54: What will be the net discount (in %) of two successive discounts of 15% and 35%?**

Options:

1) 44.75

2) 51.25

3) 55.25

4) 56.25

Correct Answer: 44.75

**Question-55: A company, at the time of inflation reduced the staff in the ratio 5 : 3, and the average salary per employee is increased in the ratio 7 : 8. By doing so, the company saved Rs 55000. What was the initial expenditure (in Rs) of the company?**

Options:

1) 155000

2) 160000

3) 175000

4) 215000

Correct Answer: 175000

**Question-56: a, b and c are 3 values, such that a + b = 5, b + c = 7.5 and c + a = 8.5. What will be the average of these values?**

Options:

1) 1.5

2) 3

3) 3.5

4) 4.5

Correct Answer: 3.5

**Question-57: Due to an increase of 33.33% in the price of apples, a customer can purchase 4 apples less for Rs 16. What is the original price (in paise) of an apple?**

Options:

1) 100

2) 125

3) 150

4) 400/3

Correct Answer: 100

**Question-58: Due to increase of k% in the side, the area of a square increases by 69%. What is the value of k?**

Options:

1) 30

2) 33

3) 34.5

4) 35

Correct Answer: 30

**Question-59: A starts from a point at a speed of 30 metre/second. After 3 seconds, B starts chasing A from the same point with a speed of 50 metre/second. What will be the total distance (in metres) travelled by A and B before A is caught by B?**

Options:

1) 360

2) 450

3) 600

4) 720

Correct Answer: 450

**Question-60: The difference between compound interest and simple interest on a sum for 2 year at 20% per annum is Rs 200. If the interest is compounded half yearly, then what is the difference (in Rs) between compound and simple interest for 1st year?**

Options:

1) 50

2) 75

3) 100

4) 150

Correct Answer: 50

**Question-61: If x(2x + 3) = 90 and 7y-1/2 + 2y-1/2 = y1/2 (x and y are positive numbers), then what is the value of x2 + y2?**

Options:

1) 45

2) 109

3) 117

4) 126

Correct Answer: 117

**Question-62: If x/y = 4/9, then what is the value of (7×2 – 19xy + 11y2)/y2 ?**

Options:

1) 59/81

2) 100/27

3) 319/81

4) 913/81

Correct Answer: 319/81

**Question-63: If x – 3 + [1/(x – 3)] = 4, what is the value of (x – 3)3 + [1/(x – 3)3]?**

Options:

1) 14

2) 18

3) 52

4) 76

Correct Answer: 52

**Question-64: If x2+ y2 + z2 = xy + yz + zx, then what is the value of (7x + 3y – 5z)/5x?**

Options:

1) 0

2) 1

3) 5

4) 33/5

Correct Answer: 1

**Question-65: The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ?**

Options:

1) 6

2) 9

3) 12

4) 18

Correct Answer: 12

**Question-66:**

Options:

1) 40

2) 60

3) 80

4) 120

Correct Answer: 40

**Question-67: If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and inradius?**

Options:

1) 2√2

2) 3√2

3) 2√3

4) 3√3

Correct Answer: 2√3

**Question-68: If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?**

Options:

1) 125√3

2) 147√3

3) 156√3

4) 169√3

Correct Answer: 147√3

**Question-69: What is the value of sin (–π/3) + cos(–π/6)?**

Options:

1) 0

2) 1

3) 2

4) 3

Correct Answer: 0

**Question-70: If θ is acute angle and tan θ – cot θ = 0, then what is the value of tan26 θ + cot100 θ?**

Options:

1) – 2

2) 0

3) 1

4) 2

Correct Answer: 2

**Question-71: If sin 3θ sec 2θ = 1, then what is the value of [3 tan2 (5θ/2) – 1]?**

Options:

1) 0

2) 1

3) 2

4) 3

Correct Answer: 2

**Question-72: If 18% of M.B.B.S. who have filled the form are from XYZ University, then how many M.B.B.S. candidates from XYZ University have filled the form?**

Options:

1) 1512000

2) 1224000

3) 1440000

4) None of these

Correct Answer: 1224000

**Question-73: What is the absolute difference in the B.Tech.’s who have filled the form and M.B.A.’s who were present in the examination?**

Options:

1) 3500000

2) 3000000

3) 4050000

4) 4000000

Correct Answer: 4050000

**Question-74: 50% of others who have filled the form are B. Arch. and 45% of others who were present in the exam are B. Arch. How many B. Arch. candidates did not gave the exam?**

Options:

1) 995000

2) 685000

3) 430000

4) 756000

Correct Answer: 995000

**Question-75: Which highest qualification accounted for most number of absentees?**

Options:

1) B.A.

2) Others

3) B.com.

4) None of these

Correct Answer: None of these