﻿ In triangle ABC, DE || BC where D is a point on AB and E is a point on AC. DE divides the area of Δ ABC into two equal parts. Then DB : AB is equal to from Quantitative Aptitude SSC - CGL Year 2015 Free Solved Previous Year Papers

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# SSCCGL Quantitative Aptitude Solved Question Paper 2015

#### Multiple Choice Questions

14.

In Δ ABC, and , if BD = 3 cm and CD = 4 cm, then the length of AD is

• 3.5 cm

• 5 cm

• • 6 cm

C.  BD = 3 cm
CD = 4cm
In Δ ABC
AB2 + AC2 = 72 = 49   ...(i)
In Δ ABD,
AC2 = AD2 + 16        ...(iii)
⟹  49 = 2AD2 + 25
⟹  2AD2 = 49 - 25 = 24
⟹ 281 Views

15.

A and B have their monthly incomes in the ratio 8 : 5, while their monthly expenditures are in the ratio 5 : 3. If they have saved Rs. 12,000 and Rs 10,000 monthly respectively, then the difference in their monthly incomes is

• Rs 52,000

• Rs. 42,000

• Rs. 44,000

• Rs. 46,000

B.

Rs. 42,000

Let A's monthly income be Rs. 8x
A's monthly expenditure be Rs. 5y
Let B's monthly income be Rs. 5x
B's monthly expenditure be Rs. 3y
According to the question,
8x - 5y = 12000          ...(i)
5x - 3y = 10000          ...(ii)
Solving (i) and (ii), we get
⟹   x = 14000
Difference between monthly incomes of A and B
= 8x - 5x = Rs. 3x = Rs. (3 x 14000)
= Rs. 42000

650 Views

13.

If tan θ - cot θ = 0 and θ is positive acute angle, then the value of is

• 3

• • • A.

3   173 Views

18.

If (3x - 2y) : (2x + 3y) = 5  : 6, then one of the values of is

• • 5

• 25

• C.

25  Taking cube root both sides By componendo and dividendo, S.B.S. 200 Views

# 11.In triangle ABC, DE || BC where D is a point on AB and E is a point on AC. DE divides the area of Δ ABC into two equal parts. Then DB : AB is equal to    C.  DE || BC
As DE divides the area of Δ ABC into two equal parts
∴  D and E is the midpoint of AB and AC
As  476 Views

20.

The portion of a ditch 48m long, 16.5m wide and 4 m deep that can be filled with stones and earth available during excavation of a tunnel, cylindrical in shape, of diameter 4 m and length 56 m is • • • • C. Volume of ditch  = (48 x 16.5 x 4) m3 = 3168 m3
Volume of earth and stones taken out from the tunnel  ∴  Part of the ditch filled 380 Views

16.

Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe. A is closed, how much time B will take to fill the remaining tank?

• • • • D. Part filled by A and B together in first 2 hours Remaining part = This part shall be filled by pipe B
∴ Required time to fill the remaining tank by B 188 Views

12.

Ram sold two horses at the same price. In one he gets a profit of 10% and in the other he gets a loss of 10%. Then Ram gets

• 2% loss

• No loss or profit

• 1% loss

• 1% profit

C.

1% loss

Shortcut Method:
In such a question there is always a loss, use the formula: 285 Views

19.

Articles are marked at a price which gives a profit of 25%. After allowing a certain discount the profit reduces to The discount percent is

• 11.1%

• 10%

• • 12%

B.

10%

Let the C.P. of each article be Rs. 100
Profit  = 25%
∴   Marked Price = Rs 125
As profit reduces to 12.5%
∴  New Marked price = Rs 112.5
∴   Discount = Rs (125 - 112.5) = Rs 12.5
Let the discount be x% 507 Views

17.

A right prism has a triangular base, whose sides are 13 cm, 20 cm and 21 cm. If the altitude of the prism is 9 cm, then its volume is

• 1314 cm3

• 1134 cm3

• 1413 cm3

• 1143 cm3

B.

1134 cm3

In the triangle,  a = 13 cm,   b  = 20 cm,   c = 21 cm Area of base = Area of triangle Height  = 9 cm
∴ Volume of prism = Area of base x height
= 126 x 9 = 1134 cm3.

208 Views