# SSC CHSL 25th May Shift 3 - QA

**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.
$\frac{nP+mQ}{m-n}$

- B.
$\frac{mP+nQ}{m+n}$

- C.
$\frac{nP+mQ}{P+Q}$

- D.
$\frac{nP+mQ}{m+n}$

Answer: Option D

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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

Answer: Option A

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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

Answer: Option B

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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

If p = 11, then the value of p(p^{2} + 3p + 3) is:

- A.
1629

- B.
1225

- C.
1727

- D.
1111

Answer: Option C

**Explanation** :

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

24 − [52 − {4 + 10 × (−3)}] = ?

- A.
54

- B.
-54

- C.
-44

- D.
44

Answer: Option B

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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

The volume of a sphere is 28π cm^{3}. Find its surface area.

- A.
114π cm

^{2} - B.
124π cm

^{2} - C.
134π cm

^{2} - D.
144π cm

^{2}

Answer: Option D

**Explanation** :

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**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

Answer: Option C

**Explanation** :

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**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

Answer: Option A

**Explanation** :

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**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%

Answer: Option D

**Explanation** :

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**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

Answer: Option B

**Explanation** :

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**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$\frac{2}{5}$

Answer: Option A

**Explanation** :

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**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

Answer: Option C

**Explanation** :

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**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

Answer: Option D

**Explanation** :

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**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

Answer: Option A

**Explanation** :

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**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 cm

^{2} - B.
12 cm

^{2} - C.
8 cm

^{2} - D.
10 cm

^{2}

Answer: Option A

**Explanation** :

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**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

Answer: Option A

**Explanation** :

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**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

Answer: Option A

**Explanation** :

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**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

Answer: Option A

**Explanation** :

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**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

Answer: Option C

**Explanation** :

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