SSC CHSL 25th May Shift 3 Previous Year Paper Quantitative Aptitude questions | CHSL Past Year Papers

1. SSC CHSL 25th May Shift 3 - QA | Average, Mixture & Alligation - SSC

If the average of n quantities is P and the average of m quantities is Q, then the average of (m + n) quantities is:

A.
$\frac{n P + m Q}{m - n}$
B.
$\frac{m P + n Q}{m + n}$
C.
$\frac{n P + m Q}{P + Q}$
D.
$\frac{n P + m Q}{m + n}$

2. SSC CHSL 25th May Shift 3 - QA | Tables & Graphs - SSC

Study the given graph and answer the question that follows.
The graph shows the number of appeared candidates and passed candidates (in hundreds) in a test from six different institutions.

Also, the question should be "What is the average number (in hundreds) of candidates to have passed per institution?

A.
1460
B.
1280
C.
1500
D.
1680

3. SSC CHSL 25th May Shift 3 - QA | Percentage, Profit & Loss - SSC

A software company has only 3 divisions that have 20, 30 and 40 employees, respectively. If the working percentage of this during a weekend were 20%, 30% and 40%, respectively, then the working percentage of the entire company during that weekend was approximately:

A.
0.0032
B.
3.2
C.
0.032
D.
32

4. SSC CHSL 25th May Shift 3 - QA | Simplification - SSC

If r + $\frac{64}{r}$ , then the value of $r^{4}$ + $\frac{1}{r^{3}}$ is _______.

A.
4096 $\frac{1}{512}$
B.
512
C.
512 $\frac{1}{4096}$
D.
4096

5. SSC CHSL 25th May Shift 3 - QA | Ratio, Proportion & Variation - SSC

There are two types of milk. The price of one type of milk is ₹70/litre and the price of other type of milk is ₹50/litre. If the two types of milk are mixed, the price of new mixture will be ₹55/litre. Find the ratio of the two types of milk in this new mixture.

A.
1 : 1
B.
1 : 2
C.
1 : 4
D.
1 : 3

6. SSC CHSL 25th May Shift 3 - QA | Time, Speed & Distance - SSC

A man completes a journey in ten hours.He travels at a speed of 21 km/h for the first half of the journey and at a speed of 24 km/h for the second half. Calculate the total distance travelled (in kilometres).

A.
212
B.
224
C.
235
D.
230

7. SSC CHSL 25th May Shift 3 - QA | Circles - SSC

The radii of two circles are 4 cm and 7 cm and the distance between their centres is 12 cm. Find the length of the direct common tangent to the circles.

A.
3 $\sqrt{6}$ cm
B.
2 $\sqrt{6}$ cm
C.
2 $\sqrt{15}$ cm
D.
3 $\sqrt{15}$ cm

8. SSC CHSL 25th May Shift 3 - QA | Simple Equation - SSC

If p = 11, then the value of p(p² + 3p + 3) is:

A.
1629
B.
1225
C.
1727
D.
1111

9. SSC CHSL 25th May Shift 3 - QA | Simple Equation - SSC

24 − [52 − {4 + 10 × (−3)}] = ?

A.
54
B.
-54
C.
-44
D.
44

10. SSC CHSL 25th May Shift 3 - QA | Ratio, Proportion & Variation - SSC

The ratio of income of A to that of B is 4 : 3 . The expenditure of A is $\frac{5}{12}$ of his income and the expenditure of B is $\frac{7}{15}$ of his income. The difference between their expenditures is, ₹4,500. Find the income of B.

A.
₹49,625
B.
₹48,625
C.
₹51,625
D.
₹50,625

11. SSC CHSL 25th May Shift 3 - QA | Trigonometry - SSC

The value of (1 + tan 10°) (1 + tan 35°) is:

A.
$\frac{1}{2}$
B.
$\frac{3}{4}$
C.
1
D.
2

12. SSC CHSL 25th May Shift 3 - QA | Circles - SSC

The volume of a sphere is 28π cm³. Find its surface area.

A.
114π cm²
B.
124π cm²
C.
134π cm²
D.
144π cm²

13. SSC CHSL 25th May Shift 3 - QA | Percentage, Profit & Loss - SSC

In an election, the winning candidate received 15744 votes, which are 48% of the electorate. The only other candidate received 22% of the electorate. What is the number of members who did NOT vote?

A.
9860
B.
9870
C.
9840
D.
9850

14. SSC CHSL 25th May Shift 3 - QA | Tables & Graphs - SSC

Study the given table and answer the question that follows.
The table shows loans disbursed by five banks (in ₹ crore) from 1982 to 1986.

In which of the following banks did the disbursement of loan continuously decrease over the years?

A.
C
B.
D
C.
A
D.
B

15. SSC CHSL 25th May Shift 3 - QA | Percentage, Profit & Loss - SSC

The price of a certain laptop is discounted by 20% and the reduced price is then discounted by 20%. This series of successive discounts is equivalent to a single discount of:

A.
20%
B.
26%
C.
30%
D.
36%

16. SSC CHSL 25th May Shift 3 - QA | Percentage, Profit & Loss - SSC

A man sells goods at 4% loss on cost price but he gives 20 g instead of 40 g. What is his profit or loss percentage?

A.
84% profit
B.
92% profit
C.
82% loss
D.
92% loss

17. SSC CHSL 25th May Shift 3 - QA | Time & Work - SSC

A can do a piece of work in 12 days and B can do it in 30 days. They work on alternate days; starting with A. In how many days will the work be completed?

A.
16 $\frac{4}{5}$
B.
17 $\frac{1}{7}$
C.
16 $\frac{4}{7}$
D.
17 $\frac{2}{5}$

18. SSC CHSL 25th May Shift 3 - QA | Time, Speed & Distance - SSC

Two trains each 200m long are moving in opposite directions. They cross each other in 10 seconds. If the speed of one train is 90km/h, find the speed of the other train.

A.
90 km/h
B.
45 km/h
C.
54 km/h
D.
36 km/h

19. SSC CHSL 25th May Shift 3 - QA | Time, Speed & Distance - SSC

The distance travelled by a person varies directly with the duration of the journey. If the person travels 378 km in 7 hours, in how many hours will the person cover 918 km?

A.
16
B.
1
C.
18
D.
17

20. SSC CHSL 25th May Shift 3 - QA | Simple & Compound Interest - SSC

A sum of ₹16,875, when invested at r% interest per year compounded annually, amounts to ₹19,683 after 2 years. What is the value of r?

A.
8
B.
7
C.
6
D.
9

21. SSC CHSL 25th May Shift 3 - QA | Triangles - SSC

The lengths of the three sides of a triangle are 3 cm, 4 cm and 5 cm respectively. Find the area of this triangle.

A.
6 cm²
B.
12 cm²
C.
8 cm²
D.
10 cm²

22. SSC CHSL 25th May Shift 3 - QA | Number Theory - SSC

What is the least positive value of A in the number 34278A2597, which is divisible by 9?

A.
7
B.
2
C.
1
D.
8

23. SSC CHSL 25th May Shift 3 - QA | Tables & Graphs - SSC

Study the given table and answer the question that follows.
The table shows the number of runs scored by a cricket player in different countries in different years.

In which country did the player score the maximun number of runs in aggregate during these four years, taken together?

A.
D
B.
A
C.
B
D.
C

24. SSC CHSL 25th May Shift 3 - QA | Percentage, Profit & Loss - SSC

A shopkeeper offers 25% discount on all table lamps. He offers a further discount of 8% on the reduced price to those customers who pay cash. What does a customer have to pay in cash for a table lamp of ₹2,500?

A.
₹1,725
B.
₹1,865
C.
₹2,220
D.
₹1,780

25. SSC CHSL 25th May Shift 3 - QA | Coordinate Geometry - SSC

A rectangular water tank is 1.5 m high, 3 m long and 3.5 m wide. How much water (in litres) can it hold?

A.
13520
B.
14510
C.
15750
D.
11780

SSC CHSL 25th May Shift 3 - QA

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