﻿ SSC - CGL Quantitative Aptitude Solved Question Paper 2014 | Previous Year Papers | Zigya

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Quantitative Aptitude

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# SSCCGL Quantitative Aptitude Solved Question Paper 2014

#### Multiple Choice Questions

6.

The height of the right pyramid whose area of the base is 30m2 and volume is 500 m3, is

• 50 m

• 60 m

• 40 m

• 20 m

A.

50 m

Volume of pyramid  238 Views

9.

The base of a right prism is an equilateral triangle. If the lateral surface area and volume is 120 cm2 respectively then the side of base of the prism is

• 4 cm

• 5 cm

• 7 cm

• 40 cm

A.

4 cm

Lateral surface area of prism  = Base perimeter x Height
Base Perimeter is of equilateral triangle  = 3a
Height (h)
∴     120 cm2 = 3a x h ... (i)
Volume of prism  = Base Area x Height Dividing equation (ii) by (i),
Side(a) = 849 Views

10.
Perimeter of a rhombus is 2p unit and sum of length of diagonals is m unit, then area of the rhombus is
• • • • C. Let d1, d2 be the diagonals of the rhombus
Perimeter of rhombus (P) = Perimeter = 2p(given)

∴ Squaring both the sides, we get ...(i)
Now, sum of diagonals (d1 + d2) =  m (given)
Again, Squaring both the sides, we get   Area of rhombus =  786 Views

8.

In an equilateral triangle of side 24 cm, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is • 98.55 sq cm

• 100 sq cm

• 101 sq cm

• 95 sq cm

A.

98.55 sq cm

Side (a) = 24 cm In radius = Area of circle =  Area of remaining part
= (249.408 - 150.86) cm2 1098 Views

4.

If the surface area of sphere is 346.5 cm2, then its radius is

• 7 cm

• 3.25 cm

• 5.25 cm

• 9 cm

C.

5.25 cm

Surface area of sphere: 262 Views

3.

ABCD is a trapezium with AD and BC parallel sides. E is a point on BC. The ratio of the area of ABCD to that of AED is

• • • • D.  EF is perpendicular on side AD.
∴  Area of trapezium Area of ΔAED = ∴  Required ratio 593 Views

1.

The compound interest on a certain sum of money for 2 years at 5% is ₹328, then the sum is

• ₹ 3000

• ₹ 3600

• ₹ 3200

• ₹ 3400

C.

₹ 3200

Shortcut Method:
Go with option (3) and check it.
Principal is Rs3200 1217 Views

5.

An interior angle of a regular polygon is 5 times its exterior angle. Then the number of sides of the polygon is

• 14

• 16

• 12

• 18

C.

12

Sum of interior and exterior angle  = 180°
I + E = 180°
Let the exterior angle be x. Number of sides of polygon: 332 Views

2.

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be of the volume of the given cone, at what height above the base is the section made?

• 19 cm

• 20 cm

• 12 cm

• 15 cm

B.

20 cm Let H and R be the height and radius of bigger cone and h and r be that of smaller cone.
∠A is common and MN || OB. So, Volume of bigger cone Volume of smaller cone = According to the question,    ∴  Required height  = 30 - 10 = 20 cm

241 Views

7.

The base of a right prism is a right angle triangle with two sides 5cm and 12 cm. The height of the prism is 10 cm. The height of the prism is 10 cm. The total surface area of the prism is

• 360 sq cm

• 300 sq cm

• 330 sq cm

• 325 sq cm

C.

330 sq cm

Perpendicular (P) = 5 , Base (B) = 12, cm
Curved Surface area  = Base Perimeter x Height
= (5 + 12 + 13) x 10 = 300 cm2
Base Area = = 30 cm2
Total Surface Area = CSA + 2Base Area
= 300 + 30 = 330 cm2.

510 Views