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SSCCHSL Class 12 Quantitative Aptitude Solved Question Paper 2017

Multiple Choice Questions

11.

Refer the below of data table and answer the following question.

Employee	Number of employees	Annual Salary (in ₹ lakh)	Bonus as percent of annual salary
Manager	1	48	40%
Executive	6	16	20%
Trainee	2	2	20%

What is the average bonus (in ₹)?

3920004
220000
228000
435556

12.

The value of x for which the expressions 12 - 6x and 4x + 2 become equal is:

13.

The sum of all prime numbers between 30 and 42 is

14.

If 2x - 1 < 5x +2 and 2x + 5 < 6 - 3x, then x can take which of the following values?

1
0
2
-2

15.

There is 75% increase in an amount in 5 years at simple interest. What will be the compound interest of ₹ 40,000/- after 2 years at the same rate?

₹ 25,800/-
₹ 32,250/-
₹ 12,900/-
₹ 19,350/-

16.

Rahul sells a machine for ₹ 50 lakh at a loss. Had he sold it for ₹ 60 lakh, his gain would have 7 times the earlier loss. What is the cost price of the machine?

₹ 51.25 lakh
₹ 58.75 lakh
₹ 67.14 lakh
₹ 43.75 lakh

17.
If a merchant offers a discount of 20% on the list price, then she makes a loss of 16%. What percent profit or percent loss will she make if she sells goods at a discount of 10% of the list price?

14% profit

20% profit

50% profit

5.5% loss

5.5% loss

Let the marked price be ₹ 100/-
  ∴ Selling Price
$space equals space 100 space cross times 80 over 100 space equals space ₹ space 80 divided by negative$
Loss = 16%(given)
∴ Cost price
$equals space 80 space cross times space fraction numerator 100 over denominator left parenthesis 100 minus 16 right parenthesis end fraction equals space 80 space cross times space 100 over 84 equals space ₹ space space 2000 over 21$
New discount = 10%
∴ New S.P.
   $equals space 100 space cross times space 90 over 100 space equals space ₹ space 90 divided by negative$
∴ Required loss percentage:
   $equals space fraction numerator begin display style 2000 over 21 end style minus 90 over denominator begin display style 2000 over 21 end style end fraction space cross times space 100 equals space fraction numerator 2000 space minus space 1890 over denominator 21 end fraction space cross times space 21 over 2000 space cross times space 100 equals 110 over 20 space equals space 5.5 percent sign$

18.

If cos C - cos D = x, then the value of x is

$2 space sin space open square brackets fraction numerator left parenthesis straight C plus straight D right parenthesis over denominator 2 end fraction space space COS fraction numerator left parenthesis straight C minus straight D right parenthesis over denominator 2 end fraction close square brackets$
$2 space cos space open square brackets fraction numerator left parenthesis straight C plus straight D right parenthesis over denominator 2 end fraction close square brackets space sin space open square brackets fraction numerator left parenthesis straight D minus straight C right parenthesis over denominator 2 end fraction close square brackets$
$2 sin open square brackets fraction numerator open parentheses straight C plus straight D close parentheses over denominator 2 end fraction close square brackets space sin space open square brackets fraction numerator open parentheses straight D minus straight C close parentheses over denominator 2 end fraction close square brackets$
$2 space cos space open square brackets fraction numerator open parentheses straight C plus straight D close parentheses over denominator 2 end fraction close square brackets space cos space open square brackets fraction numerator open parentheses straight C minus straight D close parentheses over denominator 2 end fraction close square brackets$

19.

Δ DEF and Δ GHI are similar triangles. Length of DE is 4 cm and length of the corresponding side GH is 9 cm. What is the ratio of areas of Δ DEF and Δ GHI?

81 : 16
4 : 9
16 : 81
9 : 4

20.

In the first 26 overs of a cricket match, the run rate was 5.4 runs per over. What is the required run rate in the remaining 24 overs to reach the target of 294 runs?