# SSC CHSL 25th May Shift 1 - QA

**1. SSC CHSL 25th May Shift 1 - QA | Tables & Graphs - SSC**

The table below gives the numbers of students from five different colleges who participated in Olympiads of five different subjects during a given year.

Find the difference between 'the range of the numbers of participants in the different Olympiads from College C' and 'the average number of participants per Olympiad from College E' during the given year.

- A.
38

- B.
13

- C.
37

- D.
36

Answer: Option A

**Explanation** :

Workspace:

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

The Group Leader of a group of 6 students reported that their average weight is 46 kg.

When the members of the group were asked about their individual weights, 5 of them answered: 50 kg, 52 kg, 40 kg, 44 kg, 48 kg. The 6th member said, “I can’t recall my weight”. What is his weight?

- A.
43 kg

- B.
44 kg

- C.
45 kg

- D.
42 kg

Answer: Option D

**Explanation** :

Workspace:

**3. SSC CHSL 25th May Shift 1 - QA | Number Theory - SSC**

What will be the smallest natural number to be filled in the blank for the number

’23_45678’ to be divisible by 22?

- A.
7

- B.
1

- C.
9

- D.
3

Answer: Option A

**Explanation** :

Workspace:

**4. SSC CHSL 25th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

If the cost price of 70 articles is equal to the selling price of 40 articles, what will be the profit percentage?

- A.
75%

- B.
65%

- C.
60%

- D.
70%

Answer: Option A

**Explanation** :

Workspace:

**5. SSC CHSL 25th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

Kamal purchases 80 articles for ₹11,180 and sells them at a loss equal to the selling price of 6 articles. What will be the selling price of 1 article?

- A.
₹130

- B.
₹120

- C.
₹135

- D.
₹125

Answer: Option A

**Explanation** :

Workspace:

**6. SSC CHSL 25th May Shift 1 - QA | Simple Equation - SSC**

If a, b + c = 10 and ab + bc + ca = 30, then the value of a^{2} + b^{2} + c^{2} is:

- A.
40

- B.
38

- C.
30

- D.
25

Answer: Option A

**Explanation** :

Workspace:

**7. SSC CHSL 25th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

700 grams of cane sugar solution has 60% of sugar in it. How much sugar should be added to make it 75% in the solution?

- A.
320 gm

- B.
480 gm

- C.
380 gm

- D.
420 gm

Answer: Option D

**Explanation** :

Workspace:

**8. SSC CHSL 25th May Shift 1 - QA | Number Theory - SSC**

If the sum of two numbers is 25 and their product is 144, then what is the position difference between the two numbers?

- A.
8

- B.
7

- C.
16

- D.
9

Answer: Option B

**Explanation** :

Workspace:

**9. SSC CHSL 25th May Shift 1 - QA | Time & Work - SSC**

A can do a piece of work in 24 days and B can do it in 80 days. B works alone for 2 days and A works alone on the 3rd day. This process continues till the work is completed. In how many days will the work be completed?

- A.
42

- B.
45

- C.
48

- D.
44

Answer: Option B

**Explanation** :

Workspace:

**10. SSC CHSL 25th May Shift 1 - QA | Simple & Compound Interest - SSC**

The difference between the simple interest and compound interest on ₹1,000 for 1 year at 20% per annum, compounded half yearly, is:

- A.
₹ 8

- B.
₹ 5

- C.
₹ 10

- D.
₹ 12

Answer: Option C

**Explanation** :

Workspace:

**11. SSC CHSL 25th May Shift 1 - QA | Circles - SSC**

Find the volume of a hemisphere of radius 21 cm.

(Use π = 22/7)

- A.
19400 cm

^{3} - B.
18440 cm

^{3} - C.
17404 cm

^{3} - D.
19404 cm

^{3}

Answer: Option D

**Explanation** :

Workspace:

**12. SSC CHSL 25th May Shift 1 - QA | Time, Speed & Distance - SSC**

Rakesh runs 4/3 times as fast as Mukesh. In a race, if Rakesh gives a lead of 60 m to Mukesh, find the distance from the starting point where both of them will meet.

- A.
232 m

- B.
240 m

- C.
264 m

- D.
255 m

Answer: Option B

**Explanation** :

Workspace:

**13. SSC CHSL 25th May Shift 1 - QA | Tables & Graphs - SSC**

Study the given graph carefully and answer the question that follows.

Production of food grains by a state over the years (1000 tonnes)

What was the percentage drop in the production of food grains from 2018 to 2019 (consider up to two decimals)?

- A.
7.14%

- B.
5.14%

- C.
7.02%

- D.
6.14%

Answer: Option A

**Explanation** :

Workspace:

**14. SSC CHSL 25th May Shift 1 - QA | Simple Equation - SSC**

If x^{2} = b - ax and x^{3} (x^{3} + c) = d, then which of the following can be the values of c and d?

- A.
c = a

^{3}- 3ab and d = b^{3} - B.
c = -a

^{3}^{3} - C.
c = a

^{3}+ 3ab and d = b^{3} - D.
c = a

^{3}+ 3ab and d = -b^{3}

Answer: Option C

**Explanation** :

Workspace:

**15. SSC CHSL 25th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

A bike is purchased for ₹50,000. Its rate depreciates at 10% annually. In how many years will its value be ₹36,450?

- A.
3

- B.
2

- C.
5

- D.
4

Answer: Option A

**Explanation** :

Workspace:

**16. SSC CHSL 25th May Shift 1 - QA | Simplification - SSC**

If 2945 ÷ 19 - 11 × 5 = 29 + a, find the value of a.

- A.
90

- B.
100

- C.
69

- D.
71

Answer: Option D

**Explanation** :

Workspace:

**17. SSC CHSL 25th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

If 15 kg of sugar cost ₹600, what is the cost of 25 kg of sugar?

- A.
₹1,100

- B.
₹900

- C.
₹1,000

- D.
₹800

Answer: Option C

**Explanation** :

Workspace:

**18. SSC CHSL 25th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

Nikhil suffers a loss of ₹140 when he sells a perfume at 20% discount. Find the marked price of the perfume if the cost price is ₹380.

- A.
₹280

- B.
₹300

- C.
₹310

- D.
₹290

Answer: Option B

**Explanation** :

Workspace:

**19. SSC CHSL 25th May Shift 1 - QA | Circles - SSC**

A sphere passes through the eight corners of a cube of side 14 cm. Find the volume (in cm^{3}) of the sphere.

Take π = 22/7

- A.
4312$\sqrt{3}$

- B.
4012$\sqrt{3}$

- C.
4312$\sqrt{2}$

- D.
4012$\sqrt{2}$

Answer: Option A

**Explanation** :

Workspace:

**20. SSC CHSL 25th May Shift 1 - QA | Coordinate Geometry - SSC**

If the height and slant height of a right circular cone are 8 cm and 10 cm, respectively, then the volume of the cone is (use 7t = f ): ( correct the two decimal places)

- A.
200 cm

^{3} - B.
301.71 cm

^{3} - C.
258 cm

^{3} - D.
299.45 cm

^{3}

Answer: Option B

**Explanation** :

Workspace:

**21. SSC CHSL 25th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

A family spends ₹240 per month to buy sugar. A rise of 25% in the price of sugar compels the family to reduce the monthly consumption of sugar by 1.5 kg as it decides to spend the same amount of money on purchase of the commodity. What is the increased price per kg of sugar?

- A.
₹32

- B.
₹35

- C.
₹40

- D.
₹38

Answer: Option C

**Explanation** :

Workspace:

**22. SSC CHSL 25th May Shift 1 - QA | Tables & Graphs - SSC**

The table below gives the numbers of laptops of three different brands sold from four different multi-brands store in the city during a certain month.

The number of Lenovo Laptop sold by stores A during the given month is approximately what percentage more than the number of Dell laptops sold by Store D during the same month?

- A.
12.4

- B.
13.8

- C.
11.1

- D.
10.3

Answer: Option C

**Explanation** :

Workspace:

**23. SSC CHSL 25th May Shift 1 - QA | Circles - SSC**

In the following figure, ∆ABC is an inscribed triangle as shown and DE is a tangent to the circle at C. Which of the angles from the given options is necessarily equal to ∠ACD?

- A.
∠BAC

- B.
∠BCE

- C.
∠ABC

- D.
∠BCA

Answer: Option C

**Explanation** :

Workspace:

**24. SSC CHSL 25th May Shift 1 - QA | Trigonometry - SSC**

If $\frac{x-x\mathrm{cos}e{c}^{2}30\xb0}{1+x\mathrm{cos}e{c}^{2}30\xb0}$ = cos 60° + 4 cot 45° - sec 60°, then the value of x is _______.

- A.
$\frac{5}{12}$

- B.
$-\frac{5}{12}$

- C.
$\frac{1}{5}$

- D.
$-\frac{1}{12}$

Answer: Option B

**Explanation** :

Workspace:

**25. SSC CHSL 25th May Shift 1 - QA | Percentage, Profit & Loss - SSC**

By what percent the new price of the article must be increased to restore its former value, if the cost of the article is cut by 25% in the past?

- A.
34$\frac{1}{4}$

- B.
33$\frac{1}{3}$

- C.
33%

- D.
34%

Answer: Option B

**Explanation** :

Workspace: