﻿ 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 ₹)? from Class 12 SSCCHSL Previous Year Board Papers | Quantitative Aptitude 2017 Solved Board Papers

## Subject

Quantitative Aptitude

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# SSCCHSL Class 12 Quantitative Aptitude Solved Question Paper 2017

#### Multiple Choice Questions

11.

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

• • • • C. Shortcut Method:
As, we know that, 12.

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?

• 7

• 6.4

• 7.6

• 5.8

B.

6.4

Run Rate in 26 overs = 5.4 runs/over
∴  Runs scored in 26 over = 26 x 5.4 = 140.4
Runs required to score in 24 overs = 294 - 140.4 = 153.6
∴    Required Run Rate 13.

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

C.

16 : 81

As we know,
Ratio of similar triangles = Ratio of squares of the corresponding sides. 14.

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/-

C.

₹ 12,900/-

Rate of interest  = C.I. = A - P 15.

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

A.

₹ 51.25 lakh

Let the cost price of the machine  = ₹ x.
Selling price = ₹ 50 lakh.
New selling price of the machine = ₹ 60 lakh
Profit = 7(x - 50)
According to the question,
7(x - 50) = 60 - x
⟹                       7x - 350 = 60 - x
⟹                             8x = 410
⟹                              x = 51.25 lakh

16.

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

D.

5.5% loss

Let the marked price be ₹ 100/-
∴   Selling Price Loss = 16%(given)
∴  Cost price New discount = 10%
∴  New S.P. ∴   Required loss percentage: 17.

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

• 1

• 0

• 2

• -2

B.

0

Putting x = 0
I.              2x - 1 < 5x + 2
⟹            2 x 0 - 1 < 5 x 0 + 2
⟹               0 - 1 < 0 + 2
⟹                   -1 < 2

II.             2x + 5 < 6 - 3x
⟹               2 x 0 + 5 < 6 -  x 0
⟹                      0 + 5 < 6 - 0
⟹                          5 < 6

Clearly it satisfies the equation.

18.

The sum of all prime numbers between 30 and 42 is

• 103

• 109

• 105

• 104

B.

109

All prime numbers between 30 and 42 = 31, 37, 41
The sum of all prime numbers between 30 and 42
= 31 + 37 + 41 = 109

19.

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

• 0

• 2

• 1

• 4

C.

1

According to the question,
12 - 6x = 4x + 2
6x + 4x = 12 - 2
10x = 10
x = 1

# 20.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

D.

435556

Average bonus: 