Quant Questions | NIACL Assistant 2017 | 04.04.2017

1. Find the radius of the circle in which a central angle of 60 degree intercepts and arc of length 37.4

1. 35.2 cm.

2. 37.4 cm.

3. 35.00 cm.

4. 35.7 cm.

5. None of these

Sol: (4) 35.7 cm.

2. A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles .What % profit did he make in the transaction?

1. 33.33%

2. 75%

3. 300%

4. 150

5. None of these

Sol: (3) 300%

3. If the price of petrol increase 25% and the Raj intends to spend only an additional 15 % on petrol. By how much % will he reduce the quantity of petrol purchased?

1. 8%

2. 10%

3. 12%

4. 6.67%

5. None of these

Sol: (1) 8%

4. A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks?

1. 50

2. 100

3. 150

4. 200

5. None of these

Sol: (2) 100

5. If the area of a triangle with base 6 cm. is equal to the area of a square with side 6 cm., then the altitude of the triangle is –

1. 6 cm.

2. 9 cm.

3. 12 cm.

4. 15 cm.

5. None of these

Sol: (3) 12 cm.

6. If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3 ,then the greater of the two angles is –

1. 54 degree

2. 108 degree 

3. 120 degree

4. 136 degree

5. None of these

Sol: (2) 108 degree

7. The radius of a hemispherical balloon increases from 6 cm. to 12 cm. as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is –

1. 1 : 4

2. 2 : 3 

3. 1 : 3

4. 2 : 1

5. None of these

Sol: (1) 1 : 4

8. If angle between two radii of a circle is 130 degree the angle between the tangents at the ends of the radii is –

1. 90 degree

2. 70 degree

3. 50 degree

4. 40 degree

5. None of these

Sol: (3) 50 degree

9. If the circumference of a circle and the perimeter of a square are equal then –

1. Area of the circle = Area of the square

2. Area of the circle > Area of the square

3. Area of the circle < Area of the square

4. None of these 

5. All of the above

Sol: (2) Area of the circle > Area of the square

10. The largest number, which divides 61,72 and 83 to leave remainders 1,2 and 3 respectively is

1. 20

2. 15

3. 12

4. 10

5. None of these

Sol: (4) 10