# SSC CGL 11th April Shift 1 - QA

**1. SSC CGL 11th April Shift 1 - QA | Simplification - SSC**

Find the value of the following expression:

372 ÷ 56 × 7 − 5 + 2

- A.
58

- B.
-2$\frac{95}{98}$

- C.
43$\frac{1}{2}$

- D.
2$\frac{93}{98}$

Answer: Option C

**Explanation** :

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**2. SSC CGL 11th April Shift 1 - QA | Trigonometry - SSC**

The value of

- A.
0

- B.
4

- C.
3

- D.
2

Answer: Option C

**Explanation** :

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**3. SSC CGL 11th April Shift 1 - QA | Tables & Graphs - SSC**

**Monthly expenditure of a family on different heads is shown in the following pie chart.**

The amount spent on Children Education, Transport and Rent is what percentage of the total earnings?

- A.
50%

- B.
45%

- C.
55%

- D.
40%

Answer: Option A

**Explanation** :

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**4. SSC CGL 11th April Shift 1 - QA | Percentage, Profit & Loss - SSC**

An item costs ₹400. During a festival sale, a company offers a sale discount that offers x% off on its regular price along with a discount coupon of 10%. The price of the item after using both the sale discount and the discount coupon, is ₹216. What is the value of x?

- A.
25

- B.
30

- C.
35

- D.
40

Answer: Option D

**Explanation** :

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**5. SSC CGL 11th April Shift 1 - QA | Time, Speed & Distance - SSC**

A motorboat whose speed is 20 km/h in still water takes 30 minutes more to go 24 km upstream than to cover the same distance downstream. If the speed of the boat in still water is increased by 2 km/h, then bow much time will it take to go 39 km downstream and 30 km upstream?

- A.
3 h 40 m

- B.
2 h 40 m

- C.
3 h 10 m

- D.
2 h 50 m

Answer: Option C

**Explanation** :

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**6. SSC CGL 11th April Shift 1 - QA | Number Theory - SSC**

Find the greatest number 23a68b, which is divisible by 3 but NOT divisible by 9.

- A.
239685

- B.
238689

- C.
239688

- D.
237687

Answer: Option A

**Explanation** :

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**7. SSC CGL 11th April Shift 1 - QA | Number Theory - SSC**

LCM of two numbers is 56 times their HCF, with the sum of their HCF and LCM being 1710. If one of the two numbers is 240, then what is the other number?

- A.
1680

- B.
171

- C.
210

- D.
57

Answer: Option C

**Explanation** :

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**8. SSC CGL 11th April Shift 1 - QA | Tables & Graphs - SSC**

The following bar graph shows exports of cars of type A and B (in ₹ millions) from 2014 to 2018.

What is the ratio of the total exports of cars of type A in 2014 and 2017 to the total exports of cars of type B in 2015 and 2016?

- A.
5 : 6

- B.
10 : 9

- C.
11 : 10

- D.
3 : 2

Answer: Option A

**Explanation** :

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**9. SSC CGL 11th April Shift 1 - QA | Lines & Angles - SSC**

An equilateral triangle ABC is inscribed in a circle with centre O. Dis a point on the minor are BC and ∠CBD = . Find the measure of ∠BCD.

- A.
40°

- B.
50°

- C.
20°

- D.
30°

Answer: Option C

**Explanation** :

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**10. SSC CGL 11th April Shift 1 - QA | Coordinate Geometry - SSC**

A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and heigbt 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:

- A.
5

- B.
4

- C.
6

- D.
2

Answer: Option B

**Explanation** :

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**11. SSC CGL 11th April Shift 1 - QA | Tables & Graphs - SSC**

**The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.**

What is the ratio of the number of cars passed between 6 am and 8 am to the number of cars passed between 9 am and 11 am?

- A.
14 : 23

- B.
7 : 4

- C.
21 : 19

- D.
5 : 6

Answer: Option D

**Explanation** :

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**12. SSC CGL 11th April Shift 1 - QA | Tables & Graphs - SSC**

**The given histogram represents the marks of students in Mathematics test of a certain class.**

The total number of students is 350.

Study the graph and answer the question that follows.

What is the ratio of the total number of students who scored 140 marks and above to the total number of students who scored marks between 60 to 120?

- A.
110 : 137

- B.
137 : 110

- C.
9 : 11

- D.
11 : 9

Answer: Option A

**Explanation** :

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**13. SSC CGL 11th April Shift 1 - QA | Circles - SSC**

AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If ∠APC = 62°, then find the measure of the minor arc AC.

- A.
31°

- B.
62°

- C.
56°

- D.
28°

Answer: Option D

**Explanation** :

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**14. SSC CGL 11th April Shift 1 - QA | Simple Equation - SSC**

If x + y + 3 = 0 , then find the value of x^{3} + y^{3} - 9xy + 9.

- A.
18

- B.
36

- C.
-36

- D.
-18

Answer: Option D

**Explanation** :

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**15. SSC CGL 11th April Shift 1 - QA | Simple & Compound Interest - SSC**

A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between ihe interest at the end of 2 years and that at the end of 4 years is ₹5,082. Find the sum (in ₹).

- A.
20,000

- B.
50,820

- C.
10,164

- D.
25,500

Answer: Option A

**Explanation** :

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**16. SSC CGL 11th April Shift 1 - QA | Triangles - SSC**

The lengths of the three sides of a right-angled triangle are (x - 1) cm, (x - 1) cm and (x + 3} cm, respectively. The hypotenuse of the right-angled triangle (in cm) is:

- A.
6

- B.
10

- C.
12

- D.
7

Answer: Option B

**Explanation** :

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**17. SSC CGL 11th April Shift 1 - QA | Percentage, Profit & Loss - SSC**

The ratio of the monthly incomes of A and B is 11 : 13 and the ratio of their expenditures is 9 : 11. If both of them manage to save ₹4,000 per month, then find the difference in their incomes (in ₹).

- A.
2,500

- B.
4,000

- C.
3,200

- D.
3,000

Answer: Option B

**Explanation** :

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**18. SSC CGL 11th April Shift 1 - QA | Lines & Angles - SSC**

In a △ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If ∠BAC = 75°, what is the measure of ∠PQR (in degrees)?

- A.
30

- B.
40

- C.
75

- D.
50

Answer: Option A

**Explanation** :

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**19. SSC CGL 11th April Shift 1 - QA | Percentage, Profit & Loss - SSC**

Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam'. A total of 90 students failed. Find the number of students that appeared for the exam.

- A.
500

- B.
350

- C.
400

- D.
420

Answer: Option A

**Explanation** :

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**20. SSC CGL 11th April Shift 1 - QA | Simple Equation - SSC**

If (x + 6y) = 8, and xy = 2, where x > O, what is the value of (x^{3} + 216y^{3})?

- A.
476

- B.
288

- C.
224

- D.
368

Answer: Option C

**Explanation** :

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**21. SSC CGL 11th April Shift 1 - QA | Coordinate Geometry - SSC**

The angle of elevation of the top of an unfinished tower at a point distant 78 m from its base is 30°. How much higher must the tower be raised (in m) so that the angle of elevation of the top of the finished tower at the same point will be 60°?

- A.
52$\sqrt{3}$

- B.
26$\sqrt{3}$

- C.
78$\sqrt{3}$

- D.
80

Answer: Option A

**Explanation** :

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**22. SSC CGL 11th April Shift 1 - QA | Average, Mixture & Alligation - SSC**

The average weight of P and his three friends is 55 kg. If P is 4 kg more than the average weight of his three friends, what is P's weight (in kg)?

- A.
58

- B.
62

- C.
54

- D.
60

Answer: Option A

**Explanation** :

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**23. SSC CGL 11th April Shift 1 - QA | Percentage, Profit & Loss - SSC**

A sold a mobile phone to B at a gain of 25% and B sold it to C at a loss of 10%. If C paid ₹5,625 for it, how much did A pay (in ₹) for the phone?

- A.
5,100

- B.
5,000

- C.
4,500

- D.
4,800

Answer: Option B

**Explanation** :

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**24. SSC CGL 11th April Shift 1 - QA | Trigonometry - SSC**

If 4 sin^{2} θ = 3(1 + cos θ), 0° < θ < 90°, then what is the value of (2 tan θ + 4 sin θ - sec θ).

- A.
15$\sqrt{3}$ + 3

- B.
4$\sqrt{15}$ - 3

- C.
15$\sqrt{3}$ - 4

- D.
3$\sqrt{3}$ - 4

Answer: Option D

**Explanation** :

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**25. SSC CGL 11th April Shift 1 - QA | Time & Work - SSC**

A can finish a piece of the work in 16 days and B can finish it in 12 days. They worked together for 4 days and then A left. B finished the remaining work. For how many total number of days did B work to finish the work completely?

- A.
4

- B.
6

- C.
9

- D.
8

Answer: Option C

**Explanation** :

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