# SSC CHSL 26th May Shift 2 - QA

**1. SSC CHSL 26th May Shift 2 - QA | Number Theory - SSC**

The difference between a number and the square root of the number is 2. The number is:

- A.
1

- B.
2

- C.
3

- D.
4

Answer: Option D

**Explanation** :

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**2. SSC CHSL 26th May Shift 2 - QA | Simplification - SSC**

If ${a}^{2}$ - 4a + 1 = 0, then the value of ${a}^{2}$ + a + $\frac{1}{a}$ + $\frac{1}{{a}^{2}}$ is:

- A.
10

- B.
1

- C.
18

- D.
16

Answer: Option C

**Explanation** :

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**3. SSC CHSL 26th May Shift 2 - QA | Simplification - SSC**

If $\left(X-\frac{1}{x}\right)$ = $\frac{7}{3}$, what is the value of $\left({X}^{3}-\frac{1}{{x}^{3}}\right)$ = ?

- A.
19$\frac{20}{27}$

- B.
19$\frac{19}{27}$

- C.
19$\frac{7}{9}$

- D.
19$\frac{2}{3}$

Answer: Option B

**Explanation** :

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**4. SSC CHSL 26th May Shift 2 - QA | Average, Mixture & Alligation - SSC**

If the average marks of three batches of 30, 50 and 70 students is 55, 70 and 70 respectively, then the average marks of all the students is:

- A.
67

- B.
66.50

- C.
69

- D.
68.75

Answer: Option A

**Explanation** :

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**5. SSC CHSL 26th May Shift 2 - QA | Number Theory - SSC**

Which of the following options is divisible by 11?

- A.
28171

- B.
27667

- C.
29817

- D.
28196

Answer: Option A

**Explanation** :

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**6. SSC CHSL 26th May Shift 2 - QA | Simple & Compound Interest - SSC**

Compute the compound interest on ₹ 8,400 for one and half years at 12% rate of interest per annum, compounded half yearly.

- A.
₹ 3,276.40

- B.
₹ 2,948.60

- C.
₹ 3401.30

- D.
₹ 1,604.50

Answer: Option D

**Explanation** :

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**7. SSC CHSL 26th May Shift 2 - QA | Triangles - SSC**

Triangles ABC and PQR are similar to each other. If m (BC) = 5 cm, m (QR) = 12.5 cm, and m (PQ) = 6.25 cm, find m.

- A.
6 cm

- B.
2.5 cm

- C.
6.25 cm

- D.
10 cm

Answer: Option B

**Explanation** :

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**8. SSC CHSL 26th May Shift 2 - QA | Ratio, Proportion & Variation - SSC**

If x : y = 1 : 2, find the value of (2x + 4y) : (x + 4y).

- A.
10 : 9

- B.
8 : 7

- C.
5 : 4

- D.
9 : 8

Answer: Option A

**Explanation** :

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**9. SSC CHSL 26th May Shift 2 - QA | Time, Speed & Distance - SSC**

The speed of a train is 108 km/h. The distance covered by the train in 11 seconds will be:

- A.
620 m

- B.
540 m

- C.
440 m

- D.
330 m

Answer: Option D

**Explanation** :

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**10. SSC CHSL 26th May Shift 2 - QA | Coordinate Geometry - SSC**

The base of a 12 m-high wooden solid cone has a circumference of 44 m. Find its volume.

(use π = 22/7)

- A.
616 cm

^{3} - B.
535 cm

^{3} - C.
702 cm

^{3} - D.
456 cm

^{3}

Answer: Option A

**Explanation** :

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**11. SSC CHSL 26th May Shift 2 - QA | Time & Work - SSC**

A man takes 16 days to complete a project. A woman does the same work in 12 days. They started the work together on alternate days and the man worked on the first day. How much time will they take to complete the work?

- A.
$\frac{58}{4}$ days

- B.
$\frac{55}{4}$ days

- C.
$\frac{33}{4}$ days

- D.
$\frac{61}{4}$ days

Answer: Option B

**Explanation** :

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**12. SSC CHSL 26th May Shift 2 - QA | Triangles - SSC**

Find the area of the triangle whose sides are 5 cm, 12 cm and 13 cm.

- A.
30 cm

^{2} - B.
33 cm

^{2} - C.
15 cm

^{2} - D.
25 cm

^{2}

Answer: Option A

**Explanation** :

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**13. SSC CHSL 26th May Shift 2 - QA | Trigonometry - SSC**

The value of tan 48°. tan 23°. tan 42°. tan 67° is:

- A.
0°

- B.
1

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

- D.
$\sqrt{3}$

Answer: Option B

**Explanation** :

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**14. SSC CHSL 26th May Shift 2 - QA | Tables & Graphs - SSC**

**Study the given pie-chart and answer the question that follows.**

The pie-chart shows the data for A, B, O , AB blood groups of 240 donors.

The ratio of the donors of blood group 'O' to the average of the donors of groups 'A' and 'AB' is:

- A.
1 : 3

- B.
1 : 1

- C.
1 : 2

- D.
2 : 1

Answer: Option B

**Explanation** :

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**15. SSC CHSL 26th May Shift 2 - QA | Tables & Graphs - SSC**

The table below provides information about the distribution of students from three different schools who are enrolled with three different coaching centres in a town.

35% of the students in Coaching centre R are female. 20% of the female students enrolled with centre R are school M. What is the number of male students from school M who have enrolled with Coaching centre R?

- A.
78

- B.
90

- C.
80

- D.
81

Answer: Option D

**Explanation** :

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**16. SSC CHSL 26th May Shift 2 - QA | Average, Mixture & Alligation - SSC**

Rohan scored 70 and 75 marks in the first two tests. How many marks should he score in the third test to get an average of 70 marks?

- A.
68

- B.
70

- C.
72.5

- D.
65

Answer: Option D

**Explanation** :

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**17. SSC CHSL 26th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

Harsh purchased a scooter for ₹48,000. He sold it at a loss of 15%. With that money he purchased another scooter and sold it at a profit of 22.5%. What is his overall loss/profit percentage?

- A.
Profit 4.125%

- B.
Profit 2.25%

- C.
Loss 4.125%

- D.
Loss 2.25%

Answer: Option A

**Explanation** :

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**18. SSC CHSL 26th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

The marked price of a toy was ₹4,875. Successive discounts of 28% and 30% were offered on it during a clearance sale. What was the selling price of the toy?

- A.
₹2,457

- B.
₹2,047.50

- C.
₹2,057.50

- D.
₹2,467

Answer: Option A

**Explanation** :

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**19. SSC CHSL 26th May Shift 2 - QA | Simple & Compound Interest - SSC**

Find the sum of money which when increased by 15% becomes ₹19,320.

- A.
₹16,800

- B.
₹16,000

- C.
₹17,000

- D.
₹17,800

Answer: Option A

**Explanation** :

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**20. SSC CHSL 26th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

After successive discounts of 25% and 10% a shirt was sold for ₹480. What was the original price of the shirt (Nearest to a ₹)?

- A.
₹723

- B.
₹720

- C.
₹711

- D.
₹708

Answer: Option C

**Explanation** :

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**21. SSC CHSL 26th May Shift 2 - QA | Number Theory - SSC**

The mean of three numbers $\frac{a}{3}$, b and c is the same as the mean of the numbers $\frac{b}{3}$, $\frac{c}{3}$and x. The value of 3x is (where a, b, c are positive numbers):

- A.
b + c

- B.
a + 2b + 2c

- C.
a

- D.
a + 3b + 3c

Answer: Option B

**Explanation** :

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**22. SSC CHSL 26th May Shift 2 - QA | Percentage, Profit & Loss - SSC**

In a class, the ratio of the number of boys to that of the girls is 11∶9. 30% of the boys and 20% of the girls passed an exam. Find the percentage of students who passed the exam.

- A.
3.92%

- B.
20%

- C.
24.5%

- D.
25.5%

Answer: Option D

**Explanation** :

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**23. SSC CHSL 26th May Shift 2 - QA | Ratio, Proportion & Variation - SSC**

If the ratio of the volumes of two cones is 11:16 and the ratio of the radii of their bases is 3:4, then the ratio of their heights will be:

- A.
11 : 9

- B.
4 : 11

- C.
3 : 16

- D.
9 : 11

Answer: Option A

**Explanation** :

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**24. SSC CHSL 26th May Shift 2 - QA | Number Theory - SSC**

The number 2143251 is divisible by:

- A.
13

- B.
17

- C.
3

- D.
7

Answer: Option D

**Explanation** :

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**25. SSC CHSL 26th May Shift 2 - QA | Tables & Graphs - SSC**

In a school, a survey is taken on sports loving children as given in the following table. Any student who loves one sport is understood to dislike the other sport. What is the difference between the number of boys and the number of girls in the school?

- A.
66

- B.
250

- C.
125

- D.
84

Answer: Option B

**Explanation** :

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