# SSC CGL 18th April Shift 1 - QA

**1. SSC CGL 18th April Shift 1 - QA | Simplification - SSC**

The value of $\frac{46+{\displaystyle \frac{3}{4}}\mathrm{of}32-6}{37-{\displaystyle \frac{3}{4}}\mathrm{of}(34+6)}$

- A.
$\frac{64}{7}$

- B.
$\frac{54}{7}$

- C.
$\frac{44}{7}$

- D.
$\frac{34}{7}$

Answer: Option A

**Explanation** :

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**2. SSC CGL 18th April Shift 1 - QA | Number Theory - SSC**

The greatest number that divides 126, 124 and 608 leaving remainders 2, 7 and 19. respectively, is:

- A.
27

- B.
31

- C.
21

- D.
37

Answer: Option B

**Explanation** :

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**3. SSC CGL 18th April Shift 1 - QA | Circles - SSC**

In the following figure, P and Q are centres of two circles. The circles are intersecting at points A and B. PA produced on both the sides meets the circles at C and D. If ∠CPB = 100°, then find the value of x.

- A.
15

- B.
120

- C.
110

- D.
100

Answer: Option D

**Explanation** :

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**4. SSC CGL 18th April Shift 1 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper allows a 28% discount on the marked price of an article and still makes a profit of 30%. If he gains ₹39.90 on the sale of one article, then what is the marked price (to the nearest ₹) of the article?

- A.
200

- B.
240

- C.
173

- D.
133

Answer: Option B

**Explanation** :

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**5. SSC CGL 18th April Shift 1 - QA | Simplification - SSC**

If $\left({x}^{2}+\frac{1}{{x}^{2}}\right)$ = 23, x > 0 what is the value of $\left({x}^{3}+\frac{1}{{x}^{3}}\right)$ =?

- A.
140

- B.
110

- C.
-110

- D.
-140

Answer: Option B

**Explanation** :

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**6. SSC CGL 18th April Shift 1 - QA | Trigonometry - SSC**

If A = 60°, what is the value of:

$\frac{\left[8\mathrm{cos}A+7secA-{\mathrm{tan}}^{2}A\right]}{10\mathrm{sin}{\displaystyle \frac{A}{2}}}$

- A.
5

- B.
3

- C.
15

- D.
10

Answer: Option B

**Explanation** :

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**7. SSC CGL 18th April Shift 1 - QA | Lines & Angles - SSC**

Two poles of heights 10 m and 17 m are fixed to a level ground. The distance between the bottom of the poles is 24 m. What is the distance (in m) between their tops?

- A.
25

- B.
24

- C.
30

- D.
27

Answer: Option A

**Explanation** :

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**8. SSC CGL 18th April Shift 1 - QA | Tables & Graphs - SSC**

The given bar chart represents the Televisions Sets (TV) manufactured (in thousands) and the respective percentage of those TV Sets sold by five different companies A, B, C, D and E in 2015.

Study the chart carefully and answer the question that follows.

What is the ratio of the number of TV sets sold by company A to that of company B in 2015?

- A.
6 : 5

- B.
4 : 5

- C.
5 : 4

- D.
5 : 6

Answer: Option D

**Explanation** :

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**9. SSC CGL 18th April Shift 1 - QA | Circles - SSC**

A circle is inscribed in ∆ABC, touching AB, BC and AC at the points P, Q and R, respectively. If AB - BC = 4 cm, AB - AC = 2cm, and the perimeter of ∆ABC= 32 cm, then AC (in cm) = ?

- A.
$\frac{35}{3}$

- B.
$\frac{38}{3}$

- C.
$\frac{32}{3}$

- D.
$\frac{26}{3}$

Answer: Option C

**Explanation** :

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**10. SSC CGL 18th April Shift 1 - QA | Simple Equation - SSC**

If a + b - c = 5 and ab - be - ac = 10, then find the value of a^{2} + b^{2} + c^{2} .

- A.
40

- B.
5

- C.
45

- D.
15

Answer: Option B

**Explanation** :

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**11. SSC CGL 18th April Shift 1 - QA | Ratio, Proportion & Variation - SSC**

The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8. then the third number is:

- A.
30

- B.
20

- C.
49

- D.
48

Answer: Option D

**Explanation** :

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**12. SSC CGL 18th April Shift 1 - QA | Tables & Graphs - SSC**

The following bar chart shows the number of students enrolled in two Summer Camps A and B from 2014 to 2019.

Study the chart carefully and answer the question that follows.

What is the ratio of the students enrolled in Camp A in 2014, 2016 and 2017 to the students enrolled in Camp B in 2015, 2018 and 2019?

- A.
18 : 13

- B.
22 : 15

- C.
13 : 18

- D.
15 : 22

Answer: Option C

**Explanation** :

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**13. SSC CGL 18th April Shift 1 - QA | Simple & Compound Interest - SSC**

What is the amount (in ₹) of a sum of ₹32,000 at 20% per annum for 9 months, compounded quarterly?

- A.
37,044

- B.
35,087

- C.
32,000

- D.
30,876

Answer: Option A

**Explanation** :

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**14. SSC CGL 18th April Shift 1 - QA | Coordinate Geometry - SSC**

Exactly midway between the foot of two towers P and Q, the angles of elevation of their tops are 45° and 60°, respectively. The ratio of the heights of P and Q is:

- A.
1 : $\sqrt{3}$

- B.
3 : 1

- C.
1 : 3

- D.
$\sqrt{3}$ : 1

Answer: Option A

**Explanation** :

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**15. SSC CGL 18th April Shift 1 - QA | Tables & Graphs - SSC**

Study the given histogram and answer the question that follows.

What is the difference between the total number of workers whose daily wages are less than ₹450 and the total number of workers whose daily wages are ₹650 and above?

- A.
4

- B.
8

- C.
10

- D.
5

Answer: Option D

**Explanation** :

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**16. SSC CGL 18th April Shift 1 - QA | Percentage, Profit & Loss - SSC**

A shopkeeper bought a table for ₹4,600 and a chair for ₹1,800. He sells the table with 10% gain and the chair with 6% gain. Find the overall gain percentage.

- A.
7$\frac{3}{4}$

- B.
8$\frac{7}{8}$

- C.
8

- D.
16

Answer: Option B

**Explanation** :

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**17. SSC CGL 18th April Shift 1 - QA | Number Theory - SSC**

Find the greatest number 234a5b, which is divisible by 22, but NOT divisible by 5.

- A.
234058

- B.
234850

- C.
234652

- D.
234751

Answer: Option C

**Explanation** :

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**18. SSC CGL 18th April Shift 1 - QA | Percentage, Profit & Loss - SSC**

The price of an item is reduced by 20%. As a result, customers can get 2 kg more of it for ₹360. Find the original price (in ₹) per kg of the item.

- A.
40

- B.
45

- C.
48

- D.
36

Answer: Option B

**Explanation** :

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**19. SSC CGL 18th April Shift 1 - QA | Tables & Graphs - SSC**

**The given pie chart shows the percentage of students in five schools and the table shows the ratio of boys and girls in each school.**

Study the pie chart and table and answer the question that follows.

The below table shows the ratio of girls and boys in the given five schools.

What is the ratio of the number of boys in school C to the number of girls in school E?

- A.
4 : 3

- B.
1 : 2

- C.
3 : 4

- D.
2 : 1

Answer: Option C

**Explanation** :

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**20. SSC CGL 18th April Shift 1 - QA | Trigonometry - SSC**

If sec² θ + tan² θ = 3$\frac{1}{2}$, 0° < θ < 90°, then (cos θ + sin θ) is equal to

- A.
$\frac{1+\sqrt{5}}{3}$

- B.
$\frac{2+\sqrt{5}}{3}$

- C.
$\frac{1+\sqrt{5}}{6}$

- D.
$\frac{9+2\sqrt{5}}{6}$

Answer: Option B

**Explanation** :

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**21. SSC CGL 18th April Shift 1 - QA | Time, Speed & Distance - SSC**

Shyam drives his car 30 km at, a speed of 45 km/h and. for the next 1 h 20 m, he drives it at a speed of 51 km/h. Find his average speed (in km/h) for the entire jomney.

- A.
49

- B.
48

- C.
48.5

- D.
47

Answer: Option A

**Explanation** :

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**22. SSC CGL 18th April Shift 1 - QA | Triangles - SSC**

In a △ABC, the bisector of ∠A meets BC at D. If AB = 9.6 cm. AC = 11.2 cm and BD = 4.8 cm, the perimeter (in cm) of △ABC is:

- A.
30.4

- B.
28.6

- C.
31.2

- D.
32.8

Answer: Option C

**Explanation** :

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**23. SSC CGL 18th April Shift 1 - QA | Circles - SSC**

A hemispherical depression of diameter 4 cm is cut out from each face of a cubical block of sides 10 cm. Find the surface area of the remaining solid (in cm^{2}).

(Use π = 22/7)

- A.
90047

- B.
11247

- C.
67537

- D.
71317

Answer: Option C

**Explanation** :

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**24. SSC CGL 18th April Shift 1 - QA | Time & Work - SSC**

A man, a woman and a boy can complete a work in 3, 12 and 12 days, respectively. How many boys must assist one man and one woman to complete the same work in one day?

- A.
5

- B.
7

- C.
4

- D.
9

Answer: Option A

**Explanation** :

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**25. SSC CGL 18th April Shift 1 - QA | Time, Speed & Distance - SSC**

A boat can cover a distance of 56 km downstream in 3.5 hours. The ratio of the boat in still water and the speed of stream is 3 : 1. How much time (in hours) will the boat take to cover a distance of 41.6 km downstream?

- A.
2.1

- B.
1.5

- C.
2.6

- D.
1.8

Answer: Option C

**Explanation** :

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