**Quantitative Aptitude Question Papers**

**27th August-2016 (Shift-1)**

**Question 51.A clock gains 15 minutes per day. If it is set right at 12 noon, the time it shows at 4 AM is**

Options:

1 ) 4.20 AM

2 ) 4.30 AM

3 ) 4.02 AM

4 ) 4.10 AM

Correct Answer: 4.10 AM

**Question 52.A home theatre set is Rs. 4950. If two successive discounts of 20% and 15% are given, then its selling price is**

Options:

1 ) Rs.3366

2 ) Rs.6633

3 ) Rs.3636

4 ) Rs.6363

Correct Answer: Rs.3366

**Question 53.If 15% of x is three times of 10% of y, then x:y =**

Options:

1 ) 1:2

2 ) 2:1

3 ) 3:2

4 ) 2:3

Correct Answer: 2:1

**Question 54.A bookseller bought 500 textbooks for ₹ 20,000. He wanted to sell them at a profit so that he get 50 books free. At what profit percent should he sell them?**

Options:

1 ) 10

2 ) 20

3 ) 15

4 ) 10.5

Correct Answer: 10

**Question 55.20% of a man’s salary is paid as rent, 60% are his living expenses and 10% are his savings. If he spends remaining ₹ 30 on the education of his children, find his salary**

Options:

1 ) 300

2 ) 900

3 ) 3000

4 ) 9000

Correct Answer: 300

**Question 56.A gun is fired at a distance of 6.64 km away from Ram. He hears the sound 20 seconds later. Then the speed of sound is**

Options:

1 ) 664 m/s

2 ) 664 km/s

3 ) 332 m/s

4 ) 332 km/s

Correct Answer: 332 m/s

**Question 57.The simple interest on Rs. 2000 for 2 years at Rs. 75 per thousand per annum will be**

Options:

1 ) Rs.150

2 ) Rs.300

3 ) Rs.600

4 ) Rs.400

Correct Answer: Rs.300

**Question 58.If x = 1 + √2 + √3, then the value of x2 – 2x – 4 is**

Options:

1 ) √6

2 ) 2√3

3 ) 3√2

4 ) 2√6

Correct Answer: 2√6

**Question 59.**

Options:

1 ) 1

2 ) 0

3 ) -1

4 ) 2

Correct Answer: 0

**Question 60.If ΔABC is an equilateral triangle of side 16 cm, then the length of altitude is**

Options:

1 ) 2√3 cm

2 ) 4√3 cm

3 ) 8√3 cm

4 ) 5√3 cm

Correct Answer: 8√3 cm

**Question 61.O is the circumcentre of ΔABC. If AO = 8 cm, then the length of BO is**

Options:

1 ) 12 cm

2 ) 3 cm

3 ) 6 cm

4 ) 8 cm

Correct Answer: 8 cm

**Question 62.Given that tan(θ + 15°) = √3. Then the value of θ is?**

Options:

1 ) 15°

2 ) 75°

3 ) 45°

4 ) 65°

Correct Answer: 45°

**Question 63.The least number of square tiles of side 41 cms required to pave the ceiling of a room of size 15m 17cm long and 9m 2 cm broad is:**

Options:

1 ) 902

2 ) 656

3 ) 738

4 ) 814

Correct Answer: 814

**Question 64.The average of fruits offered in a temple in a week was 75. The average of fruits offered in six days excluding Tuesday was 72. How many fruits were offered on Tuesday?**

Options:

1 ) 90

2 ) 93

3 ) 72

4 ) 92

Correct Answer: 93

**Question 65.**

Options:

Correct Answer: 1

**Question 66.**

Options:

1 ) 1

2 ) 2

3 ) 3

4 ) 4

Correct Answer: 1

**Question 67.If a > b > 0, AB = a – b cm, BC = 2√ab cm, then ∠ABC is**

Options:

1 ) 45°

2 ) 60°

3 ) 90°

4 ) 120°

Correct Answer: 90°

**Question 68.PR is a tangent to a circle with centre O and radius 4 cm at point Q. If ∠POR = 90°, OR = 5 cm and OP = 20/3 cm, then the length of PR is:**

Options:

Correct Answer: 4

**Question 69.From a point, 40 m apart from the foot of a tower, the angle of elevation of its top is 60°. The height of the tower is**

Options:

1 ) 40√3

2 ) 40√3 cm

3 ) 40√3 m

4 ) 40√2 m

Correct Answer: 40√3 m

**Question 70.The radius of a sphere and hemisphere are same. The ratio of their total surface area is**

Options:

1 ) 3:1

2 ) 2:1

3 ) 3:2

4 ) 4:3

Correct Answer: 4:3

**Question 71.Two equal arcs of two circles subtend angle of 60° and 75° at the centre. The ratio of the radii of the two circles is**

Options:

1 ) 5/4

2 ) 3/2

3 ) 4/5

4 ) 2/3

Correct Answer: 5/4

**Direction: Study the following graph carefully and answer the questions**

**Question 72. Which state has the maximum percentage of electrified villages?**

Options:

1 ) B

2 ) C

3 ) D

4 ) F

Correct Answer: C

**Question 73. If the Central Government desires to give aid for speedy electrification starting from states with least electrification, which state will get fourth rank in order of priority?**

Options:

1 ) F

2 ) C

3 ) E

4 ) B

Correct Answer: F

**Question 74. How many States have at least 60% or more electrified villages?**

Options:

1 ) Five

2 ) Three

3 ) Four

4 ) Two

Correct Answer: Three

**Question 75. Which state has twice the percentage of villages electrified in comparison to state D?**

Options:

1 ) A

2 ) E

3 ) F

4 ) C

Correct Answer: C