# SSC CHSL 31st May Shift 3 - QA

**1. SSC CHSL 31st May Shift 3 - QA | Triangles - SSC**

∆ABC is similar to ∆PQR. The area of ∆ABC is 64 cm^{2}, and the area of ∆PQR is 121 cm^{2}.If QR = 15.4 cm, what is the length of BC?

- A.
13.2 cm

- B.
15.4 cm

- C.
11.2 cm

- D.
12.3 cm

Answer: Option C

**Explanation** :

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**2. SSC CHSL 31st May Shift 3 - QA | Average, Mixture & Alligation - SSC**

The following table represents the weightage of different decision features of an automobile. With the help of this information, calculate the weighted average.

Features Weightage

Safety - 8/10 40%

Comfort - 6/10 20%

Fuel Mileage - 5/10 30%

Exterior looks - 8/10 10%

- A.
0.57

- B.
0.76

- C.
0.67

- D.
0.5

Answer: Option C

**Explanation** :

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**3. SSC CHSL 31st May Shift 3 - QA | Ratio, Proportion & Variation - SSC**

**The ratio of time taken by Anamika and Bani to complete a work is 1 : 3, respectively.**

Therefore, Anamika is able to finish a job in 40 days less than Bani. If they work together, they can complete the work in ______ days.

- A.
20

- B.
10

- C.
15

- D.
25

Answer: Option C

**Explanation** :

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**4. SSC CHSL 31st May Shift 3 - QA | Simplification - SSC**

**Simplify:**

3ab × (a + b)^{-1} × (a^{-1} + b^{-1})

- A.
$\frac{1}{(a+b)}$

- B.
1

- C.
(a + b)

- D.
3

Answer: Option D

**Explanation** :

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**5. SSC CHSL 31st May Shift 3 - QA | Simplification - SSC**

If x + $\frac{1}{x}$ = 5, then the value of $\frac{3x}{2{x}^{2}+2-5x}$ will be _________.

- A.
$\frac{5}{2}$

- B.
$\frac{2}{5}$

- C.
$\frac{3}{5}$

- D.
$\frac{5}{3}$

Answer: Option C

**Explanation** :

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**6. SSC CHSL 31st May Shift 3 - QA | Simple & Compound Interest - SSC**

If a sum on compound interest (compounded yearly) becomes three times in 4 years, then with the same interest rate, the sum will become 81 times in:

- A.
12 years

- B.
18 years

- C.
15 years

- D.
16 years

Answer: Option A

**Explanation** :

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**7. SSC CHSL 31st May Shift 3 - QA | Simplification - SSC**

**Simplify:**

2$\frac{2}{3}$ + 1$\frac{4}{3}$ × 1$\frac{6}{7}$ ÷ 5$\frac{1}{2}$

- A.
3$\frac{3}{11}$

- B.
3$\frac{5}{11}$

- C.
1$\frac{4}{3}$

- D.
3$\frac{4}{11}$

Answer: Option B

**Explanation** :

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**8. SSC CHSL 31st May Shift 3 - QA | Percentage, Profit & Loss - SSC**

There is a 20% discount on a dozen pairs of shoes marked at ₹7,200. How many pair of shoes can be bought with ₹1,440?

- A.
3

- B.
5

- C.
2

- D.
4

Answer: Option A

**Explanation** :

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**9. SSC CHSL 31st May Shift 3 - QA | Circles - SSC**

In a right circular cylinder, the ratio of the curved surface to the total surface area is 3:7. Find the ratio of the height of the cylinder to the radius of its base.

- A.
3 : 4

- B.
2 : 3

- C.
3 : 2

- D.
4 : 3

Answer: Option A

**Explanation** :

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**10. SSC CHSL 31st May Shift 3 - QA | Percentage, Profit & Loss - SSC**

The salaries of P and Q together amount to ₹1,20,000. P spends 95% of his salary and Q 85% of his. If their savings are the same, then what is P’s salary?

- A.
₹80,000

- B.
₹72,000

- C.
₹90,000

- D.
₹60,000

Answer: Option C

**Explanation** :

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**11. SSC CHSL 31st May Shift 3 - QA | Percentage, Profit & Loss - SSC**

The monthly income of Manisha was ₹1,20,000 and her monthly expenditure was ₹55,000. Next year, her income increased by 22% and her expenditure increase by 10%. Find the percentage increase in her savings

(correct to 2 decimal place).

- A.
28.16%

- B.
26.25%

- C.
32.15%

- D.
30.08%

Answer: Option C

**Explanation** :

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**12. SSC CHSL 31st May Shift 3 - QA | Percentage, Profit & Loss - SSC**

A fruit seller purchased 300 bananas at the rate of ₹18 per dozen and sold 200 bananas at the rate of ₹24 per dozen and the remaining bananas at the rate of ₹21 per dozen. What is his net profit percentage?

- A.
28%

- B.
26%

- C.
27%

- D.
27$\frac{7}{9}$

Answer: Option D

**Explanation** :

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**13. SSC CHSL 31st May Shift 3 - QA | Tables & Graphs - SSC**

The table below gives the $\frac{\mathrm{Input}}{\mathrm{Output}}$ratio of particular firm over five consecutive years.

If the inputs in the year 1998 was ₹1,200 crores and total output in the years 1998 and 2000 taken together was ₹2,500 crores, then what was the input of the turn in the year 2000?

- A.
₹1,200 crores

- B.
₹2,100 crores

- C.
₹3,200 crores

- D.
₹1,700 crores

Answer: Option B

**Explanation** :

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**14. SSC CHSL 31st May Shift 3 - QA | Tables & Graphs - SSC**

The given pie chart shows the share of labour, raw material, energy, transportation cost. and plant & machinery in the total manufacturing cost of the company during a particular year. Study the pie chart and answer the question that follows.

The total central angle showing the share of energy, labour and transportation cost in the total manufacturing cost during the year was:

- A.
162°

- B.
120°

- C.
144°

- D.
135°

Answer: Option C

**Explanation** :

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**15. SSC CHSL 31st May Shift 3 - QA | Number Theory - SSC**

When a certain number is multiplied by 11, the product is a six-digit number containing only 6s. Find the number that is multiplied by 11.

- A.
79365

- B.
78365

- C.
60606

- D.
61661

Answer: Option C

**Explanation** :

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**16. SSC CHSL 31st May Shift 3 - QA | Tables & Graphs - SSC**

The table below gives the numbers of sn1dents from five different colleges who participated in the Olympiads of five different subjects during a given year.

Which college had the maximum aggregate number of pruticipru1ts in all the five different subject Olympiads taken together during that year?

- A.
College D

- B.
College B

- C.
College E

- D.
College C

Answer: Option D

**Explanation** :

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**17. SSC CHSL 31st May Shift 3 - QA | Percentage, Profit & Loss - SSC**

Under a sale offer, Tanvir was offered a 32% discount on the part of the marked price that was paid in cash, but had to add 1.2% on the part of the marked price paid through a credit card. If Tanvir paid 75% of the marked price in cash and the rest through a credit card, what percentage of the marked price was his total final payment?

- A.
76.6%

- B.
75.9%

- C.
76.1%

- D.
76.3%

Answer: Option D

**Explanation** :

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**18. SSC CHSL 31st May Shift 3 - QA | Coordinate Geometry - SSC**

Find the length of the longest bamboo pole that can be placed in a room 16 m long, 12 m broad and 10 m high.

- A.
10$\sqrt{10}$ m

- B.
5$\sqrt{5}$ m

- C.
10$\sqrt{5}$ m

- D.
4$\sqrt{5}$ m

Answer: Option C

**Explanation** :

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**19. SSC CHSL 31st May Shift 3 - QA | Average, Mixture & Alligation - SSC**

The average weight of 8 persons increased by 2.5 kg when a new person comes in place of one of them weighting 45 kg. What is the weight of the new person?

- A.
63 kg

- B.
60 kg

- C.
65 kg

- D.
62 kg

Answer: Option C

**Explanation** :

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**20. SSC CHSL 31st May Shift 3 - QA | Ratio, Proportion & Variation - SSC**

The mean proportional between 6 and another number is 30. What is that number?

- A.
150

- B.
5$\sqrt{6}$

- C.
180

- D.
6$\sqrt{5}$

Answer: Option A

**Explanation** :

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**21. SSC CHSL 31st May Shift 3 - QA | Time, Speed & Distance - SSC**

A thief is spotted by a policeman from a distance of 480 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 19 km/h and that of the policeman is 23 km/h, then how far would the thief have to run before he is overtaken?

- A.
2080 m

- B.
2280 m

- C.
2290 m

- D.
2180 m

Answer: Option B

**Explanation** :

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**22. SSC CHSL 31st May Shift 3 - QA | Ratio, Proportion & Variation - SSC**

In what proportion must wheat at ₹20.40 per kg be mixed with wheat at ₹25.50 per kg, so that the mixture is worth ₹23.80 per kg?

- A.
1 : 3

- B.
2 : 1

- C.
2 : 3

- D.
1 : 2

Answer: Option D

**Explanation** :

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**23. SSC CHSL 31st May Shift 3 - QA | Trigonometry - SSC**

What is the simplified value of

cos² (90° - θ) - $\left[\frac{\left\{\mathrm{cos}\right(90\xb0-\theta \}\mathrm{cos}\theta}{cot\theta}\right]$?

- A.
4

- B.
2

- C.
0

- D.
1

Answer: Option C

**Explanation** :

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**24. SSC CHSL 31st May Shift 3 - QA | Coordinate Geometry - SSC**

Find the length of diagonal (in cm) of a cube if the volume of the cube is 1331 cm^{3}.

- A.
331$\sqrt{3}$

- B.
21$\sqrt{3}$

- C.
11$\sqrt{3}$

- D.
111$\sqrt{3}$

Answer: Option C

**Explanation** :

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**25. SSC CHSL 31st May Shift 3 - QA | Number Theory - SSC**

If ${x}^{4}$ + $\frac{1}{{x}^{4}}$. Then a Possible value of x + $\frac{1}{x}$ is:

- A.
69

- B.
121

- C.
81

- D.
11

Answer: Option D

**Explanation** :

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