# SSC CHSL 1st June Shift 1 - QA

**1. SSC CHSL 1st June Shift 1 - QA | Triangles - SSC**

For what angle D is ∆ABC congruent to ∆DEF, given AC = 2.5 cm, BC = 5 cm, ∠C = 75°, DE = 2.5 cm and DF = 5 cm?

- A.
75°

- B.
25°

- C.
35°

- D.
90°

Answer: Option A

**Explanation** :

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**2. SSC CHSL 1st June Shift 1 - QA | Simple Equation - SSC**

If 8x² + 9x + 8 = 0, then the value of x³ + $\frac{1}{{x}^{3}}$ is:

- A.
$\frac{999}{212}$

- B.
$\frac{199}{212}$

- C.
$\frac{999}{512}$

- D.
$\frac{199}{512}$

Answer: Option C

**Explanation** :

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**3. SSC CHSL 1st June Shift 1 - QA | Percentage, Profit & Loss - SSC**

The profit triples if the selling price is doubled. The profit percentage is:

- A.
110

- B.
50

- C.
100

- D.
28

Answer: Option C

**Explanation** :

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**4. SSC CHSL 1st June Shift 1 - QA | Time & Work - SSC**

A man can complete a work in 20 days, and a woman can complete the same work in 10 days. If they work on it together for 5 days, then how many days will the woman take to complete the rest of the work?

- A.
2$\frac{1}{2}$

- B.
1$\frac{1}{4}$

- C.
3$\frac{1}{2}$

- D.
1$\frac{1}{2}$

Answer: Option A

**Explanation** :

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**5. SSC CHSL 1st June Shift 1 - QA | Percentage, Profit & Loss - SSC**

A family spends 8% of its monthly income on charity. In a particular month, the family spent ₹1,200 on charity. What is the income in that month?

- A.
₹15,000

- B.
₹16,000

- C.
₹12,000

- D.
₹18,000

Answer: Option A

**Explanation** :

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**6. SSC CHSL 1st June Shift 1 - QA | Number Theory - SSC**

How many numbers between 100 and 1000 are divisible by 17?

- A.
51

- B.
53

- C.
52

- D.
54

Answer: Option B

**Explanation** :

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**7. SSC CHSL 1st June Shift 1 - QA | Tables & Graphs - SSC**

**Study the following bar-chart and answer the question that follows.**

The bar-chart shows the sales of laptops (in thousands) over a period of four years.

Find the percentage increase in sales from 2012 to 2013 giving your answer correct to two places of decimal.

- A.
42.98%

- B.
48.54%

- C.
45.64%

- D.
44.44%

Answer: Option D

**Explanation** :

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**8. SSC CHSL 1st June Shift 1 - QA | Triangles - SSC**

The area of a triangle is 96 cm^{2} and the length of one of its sides is 24 cm. What is the length of the perpendicular drawn to this side of the triangle from the opposite vertex?

- A.
16 cm

- B.
8 cm

- C.
4 cm

- D.
12 cm

Answer: Option B

**Explanation** :

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**9. SSC CHSL 1st June Shift 1 - QA | Simplification - SSC**

Find the value of

${\left(\frac{{9}^{3}+{9}^{4}+{9}^{5}+{9}^{6}+{9}^{7}}{{9}^{1}+{9}^{2}+{9}^{3}+{9}^{4}+{9}^{5}}\right)}^{\frac{1}{2}}$

- A.
9

- B.
3

- C.
729

- D.
81

Answer: Option A

**Explanation** :

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**10. SSC CHSL 1st June Shift 1 - QA | Trigonometry - SSC**

The value of sin 2θ (tan θ + cot θ) is:

- A.
$\frac{2}{3}$

- B.
1

- C.
$\frac{1}{2}$

- D.
2

Answer: Option D

**Explanation** :

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**11. SSC CHSL 1st June Shift 1 - QA | Tables & Graphs - SSC**

**Study the given table and answer the question that follow.**

The following table gives the month- wise number of different types of scooters produced by a comapany during the first six months of 1992.

In which two of the six given months was the total number of scooters produced by the company, of all types taken together, equal?

- A.
January and May

- B.
April and May

- C.
January and February

- D.
January and March

Answer: Option B

**Explanation** :

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**12. SSC CHSL 1st June Shift 1 - QA | Simplification - SSC**

Find the value of the given expression:

42 ÷ 7 × (5 + 7) ÷ 3

- A.
1.5

- B.
3

- C.
24

- D.
32

Answer: Option C

**Explanation** :

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**13. SSC CHSL 1st June Shift 1 - QA | Percentage, Profit & Loss - SSC**

Bhanu spends 20% of his monthly salary on rent, 10% on stationery, 14% on transport, 18% on electricity, and the balance of ₹1,520 on remaining items. What is the monthly salary of Bhanu?

- A.
₹10,000

- B.
₹6,000

- C.
₹4,000

- D.
₹2,000

Answer: Option C

**Explanation** :

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**14. SSC CHSL 1st June Shift 1 - QA | Tables & Graphs - SSC**

The pie chart shows the percentage-wise break up of students in terms of specialisation in Engineering.

Total number of students = 8000

What is the ratio of the total number of students having either Networking or Graphics as their specialisations to the number of students having C programming as their specialisation?

- A.
18 : 13

- B.
29 : 11

- C.
11 : 19

- D.
31 : 17

Answer: Option D

**Explanation** :

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**15. SSC CHSL 1st June Shift 1 - QA | Simple & Compound Interest - SSC**

A certain sum is invested at 26% p.a, interest compounded annually. In how many years (approx) will it double?

- A.
4

- B.
3

- C.
2

- D.
5

Answer: Option B

**Explanation** :

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**16. SSC CHSL 1st June Shift 1 - QA | Time, Speed & Distance - SSC**

A watercraft is rowed down 32 km along a river in 4 hours and 10 km against the river in 5 hours. Find the speed of the watercraft and that of the river.

- A.
4.5 km/h and 2.5 km/h

- B.
4 km/h and 3 km/h

- C.
5 km/h and 3 km/h

- D.
3.5 km/h and 1.5 km/h

Answer: Option C

**Explanation** :

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**17. SSC CHSL 1st June Shift 1 - QA | Time, Speed & Distance - SSC**

Roshni travelled at the speed of 66 km/h while going from point A to point B and returned via the same route at the speed of 92.4 km/h. What was Roshni’s overall average speed during the two-way journey?

- A.
77 km/h

- B.
79.2 km/h

- C.
79 km/h

- D.
78 km/h

Answer: Option A

**Explanation** :

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**18. SSC CHSL 1st June Shift 1 - QA | Average, Mixture & Alligation - SSC**

The ratio of the ages of two friends is 7:9. After 10 years, it will be 19:23. What will be the average age after 7 years from now?

- A.
33 years

- B.
35 years

- C.
36 years

- D.
39 years

Answer: Option D

**Explanation** :

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**19. SSC CHSL 1st June Shift 1 - QA | Simple Equation - SSC**

If X - $\frac{1}{x}$ = 11, what is the value of $\left({X}^{4}+\frac{1}{{x}^{4}}\right)$

- A.
14159

- B.
14163

- C.
15127

- D.
15131

Answer: Option C

**Explanation** :

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**20. SSC CHSL 1st June Shift 1 - QA | Percentage, Profit & Loss - SSC**

A 37% discount was offered on an item with a marked price of ₹2,900. What was the selling price of the item?

- A.
₹1,827

- B.
₹1,073

- C.
₹ 1,823

- D.
₹1,829

Answer: Option A

**Explanation** :

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**21. SSC CHSL 1st June Shift 1 - QA | Circles - SSC**

What is the volume of a sphere whose diameter is 16.8 cm?

[Use π = 22/7]

- A.
2487.312 cm

^{3} - B.
2473.812 cm

^{3} - C.
2483.712 cm

^{3} - D.
2483.172 cm

^{3}

Answer: Option C

**Explanation** :

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**22. SSC CHSL 1st June Shift 1 - QA | Ratio, Proportion & Variation - SSC**

If the radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3, then the ratio of their volumes is:

- A.
22 : 15

- B.
20 : 27

- C.
3 : 4

- D.
16 : 23

Answer: Option B

**Explanation** :

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**23. SSC CHSL 1st June Shift 1 - QA | Time, Speed & Distance - SSC**

A man rides his bicycle for 10 kilometres at a speed of 12 kilometres per hour, then for another 12 kilometres at a speed of 10 kilometres per hour. What is his average speed for the entire trip approximately?

- A.
10.8 km/h

- B.
11.8 km/h

- C.
11.4 km/h

- D.
10 km/h

Answer: Option A

**Explanation** :

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**24. SSC CHSL 1st June Shift 1 - QA | Percentage, Profit & Loss - SSC**

The marked price of a mobile phone was ₹35,600. The shop owner offered a 10% trade discount on the marked price but on further request by the customer, he sold the phone for ₹30,000 after giving a cash discount. How much is this cash discount as a percentage of the price after the trade discount? (Give your answer correct to 2 decimal places.)

- A.
6.37 %

- B.
5.75 %

- C.
4.95%

- D.
5.25 %

Answer: Option A

**Explanation** :

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**25. SSC CHSL 1st June Shift 1 - QA | Ratio, Proportion & Variation - SSC**

A and B share a few marbles in the ratio 4 : 5. If B gets 10 marbles more than A, then what is A’s share?

- A.
8 marbles

- B.
42 marbles

- C.
12 marbles

- D.
40 marbles

Answer: Option D

**Explanation** :

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