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SSC CHSL

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Q. 1.

What is the simplified value of given question -

Select the correct answer

$\frac{19}{8}$

$\frac{19}{16}$

$\frac{19}{64}$

$\frac{19}{7}$

Correct Answer is: A

Solution:

Q. 2.

If each side of a rectangle is increased by 22% , then its area will increase by

Select the correct answer

44%

50%

45.65%

48.84%

Correct Answer is: D

Solution:

Q. 3. Read the following question carefully and answer it.

Select the correct answer

Correct Answer is: A

Solution:

Q. 4.

The given bar graph presents the number of students of two schools for six years.

In which year, the absolute difference between the number of students in two schools is the highest?

2013

2010

2012

2011

Correct Answer is: C

Solution:

Q. 5. The given bar graph presents the number of students of two schools for six years.

What is the ratio of students taken for all years together from school B to that from school A?

370 : 429

415 : 401

429 : 370

401 : 415

Correct Answer is: A

Solution:

Q. 6.

The given bar graph presents the number of students of two schools for six years.

What is the average number of students from school B during the six year period (correct to two decimal places)?

656.17

616.67

664.37

660.17

Correct Answer is: B

Solution:

Q. 7.

Two number are in the ratio 3 : 4. On increasing each of them by 30, the ratio becomes 9 : 10. The sum of the numbers is

Select the correct answer

Correct Answer is: A

Solution:

Q. 8. A dealer buys an article marked at ₹20000 with two successive discounts of 20% and 5%. He spend ₹1000 for its repair and sells it for ₹20000. What is his proft/loss percent (correct to two decimal places)?

Select the correct answer

25.64% profit

23.64% loss

23.46% profit

25.64% loss

Correct Answer is: C

Solution:

Q. 9. In a △ABC,the bisectors of ∠B and ∠C meet at O with in the triangle. If ∠A = 110°, then the measure of ∠BOC is:

Select the correct answer

55°

110°

145°

84°

Correct Answer is: C

Solution:

Q. 10. Read the following question carefully and answer it.

Select the correct answer

0.7

-1

Correct Answer is: C

Solution:

Q. 11. There are two circles of radii 5 cm and 3 cm, respectively. The distance between their centres is 10 cm. The length (in cm) of transverse common tangent is

Select the correct answer

Correct Answer is: B

Solution:

Q. 12.

Read the following question carefully and answer it.

Select the correct answer

$\frac{2}{3}$

$\frac{- 2}{3}$

-1

Correct Answer is: A

Solution:

Q. 13.

The sum of salaries of A and B is ₹43000. A spends 95% of his salary and B spends 80% of his salary. If their savings are the same. What is A's salary (in ₹)?

Select the correct answer

10600

8000

35000

34400

Correct Answer is: D

Solution:

Q. 14.

A person purchased a vehicle for ₹489828 and sold it for ₹589828. What is the profit percent he earned on this vehicle (correct to two decimal places)?

Select the correct answer

25%

18.65%

20.42%

15%

Correct Answer is: C

Solution:

Q. 15. The given bar graph presents the number of students of two schools for six years.

In which year, the percentage increase in students in school B is the highest in comparison to its previous year?

2011

2013

2009

2010

Correct Answer is: C

Solution:

Q. 16. Read the following question carefully and answer it.

Select the correct answer

Correct Answer is: D

Solution:

Q. 17.

The ratio between the speeds of two trains is 2 : 5. If the first train covers 350km in 5 h , then the speed (in km/h) of the second train is

Select the correct answer

175 km/h

150 km/h

180 km/h

165 km/h

Correct Answer is: A

Solution:

Q. 18.

A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for ₹35000. The share of A (in ₹) in the contracted money will be.

Select the correct answer

7000

15000

14000

21000

Correct Answer is: C

Solution:

Q. 19.

The average age of fifteen persons is 32 yr. If two more persons are added, then the average is increased by 3 yr. The new persons have age difference of 7 yr. The age (in year) of the younger among the new persons is.

Select the correct answer

54 yr

61 yr

50 yr

58 yr

Correct Answer is: A

Solution:

Q. 20.

Two students A and B, appeared for an examination. A secured 8 marks more than B and the marks of the former were 55% of the sum of their marks. The sum of the marks obtained by A and b is.

Select the correct answer

100

Correct Answer is: B

Solution:

Q. 21.

If x = 2 + $\sqrt{3}$ , then the value of x³ + x⁻³ is

Select the correct answer

-52

-52 $\sqrt{3}$

52 $\sqrt{3}$

Correct Answer is: A

Solution:

Q. 22. If an 8 digit number, 30x558y2 is divisible by 88, then the value of (6x + 6y) is

Select the correct answer

Correct Answer is: A

Solution:

Q. 23. In ∆ABC, the length of BC is less than twice the length of AB by 3 cm. The length of the AC exceeds the length of AB by 1 cm. The perimeter of the triangle is 34 cm. The length (in cm) of the smallest side of the triangle is:

Select the correct answer

Correct Answer is: A

Solution:

Q. 24.

Read the following question carefully and answer it.

Select the correct answer

$\frac{2}{3}$

$\frac{1}{4}$

$\frac{1}{2}$

Correct Answer is: A

Solution:

Q. 25. Read the following question carefully and answer it.

Select the correct answer

Correct Answer is: B

Solution:

Q. 26.

If cos²θ - sin²θ - cosθ + 2 = 0, 0° < θ < 90°, then what is the value of 4cosecθ + cotθ ?

Select the correct answer

3 $\sqrt{3}$

4 $\sqrt{3}$

Correct Answer is: A

Solution:

Q. 27. If a² + 4b² + 49c² + 18 = 2(2b + 28c - a), then the value of (3a + 2b + 7c) is

Select the correct answer

Correct Answer is: B

Solution:

Q. 28. Two trains of same length are running on parallel tracks in the same direction at 54 km/h and 42km/h respectively. The faster train passes the other train in 63 sec. What is the length (in m) of each train?

Select the correct answer

105

210

Correct Answer is: C

Solution:

Q. 29.

Two concentric circles are of radii 15 cm and 9 m. What is the length of the chord of the larger circle which is tangent to the smaller circle?

Select the correct answer

24 cm

18 cm

20 cm

25 cm

Correct Answer is: A

Solution:

Q. 30.

The simple interest on a certain sum for $3 \frac{1}{2}$ yr at 10% per annum is ₹2940. What will be the compound interest on the same sun of $2 \frac{1}{2}$ yr at the same rate when interest is compounded yearly (in ₹).

Select the correct answer

₹2272

₹2227

₹2327

₹2372

Correct Answer is: A

Solution:

Q. 31. Read the following question carefully and answer it.

Select the correct answer

sinθ

secθ

cosθ

cosecθ

Correct Answer is: C

Solution:

Q. 32.

After allowing a discount of 10% on the marked price of an article, it is sold for ₹360. Had the discount not been given, the profit would have been 25%. What is the cost price of the article?

Select the correct answer

₹350

₹360

₹320

₹325

Correct Answer is: C

Solution:

Q. 33.

The ratio of the incomes of A and B is 2 : 3 and that of their expenditures is 1 : 2. If 90% of B's expenditure is equal to the income of A, then what is the ratio of the savings of A and B?

Select the correct answer

1 : 1

9 : 8

8 : 7

3 : 2

Correct Answer is: C

Solution:

Q. 34. A person sold and article at a lost of 8%. Had he sold it at a gain of 10.5%, he would have received ₹37 more. What is the cost price of the article?

Select the correct answer

₹200

₹250

₹240

₹210

Correct Answer is: A

Solution:

Q. 35.

The given graph presents the target and actual production of AC machines (numbers in thousands) of a factory over five months.

The ratio of the combined target production of AC machines in January and April to that of the combined actual production of AC machines in March and April was

4 : 5

3 : 2

5 : 6

2: 3

Correct Answer is: C

Solution:

Q. 36. There are 90 students in a class, out of which 70% are from village A and others are from village B. The average score of students from village B in a test is 20% more than that from village A. If the average score of the all students is 53, then what is the average score of the students from village B?

Select the correct answer

Correct Answer is: B

Solution:

Q. 37.

A is 20% more than B. B is 25% more than C, C is 60% less than D and D is 20% more than E. Based on the above information, which of the following is true?

Select the correct answer

D is 60% less than B

E is 28% more than A

A is 40% less than D

C is 24% less than A

Correct Answer is: C

Solution:

Q. 38.

In △ABC, D and E are the points on sides AB and AC, respectively, such that DE ∥ BC. If DE : BC is 3 : 5, then (Area of ∆ADE) : (Area of Quadrilateral DECB) is.

Select the correct answer

9 : 16

3 : 4

9 : 25

5 : 8

Correct Answer is: A

Solution:

Q. 39.

In ∆ABC, AB = 7cm, BC = 24 cm and AC = 25cm. If G is the centroid of the triangle, then what is the length (in cm) of BG?

Select the correct answer

$8 \frac{1}{3}$

$8 \frac{2}{3}$

Correct Answer is: B

Solution:

Q. 40.

If 30 persons take 10 days to complete a certain work working 8 hr a day, then 40 persons should work how many hours a day so that the work is completed in 6 days?

Select the correct answer

6 hr

10 hr

8 hr

12 hr

Correct Answer is: B

Solution:

Q. 41. The volume of a right circular cone is 924 cm³. If its height is 18 cm, then the area of its base (in cm²) is

Select the correct answer

154

132

176

198

Correct Answer is: A

Solution:

Q. 42. The givne graph presents the target and actual production of AC machines (numbers in thousands) of a factory over five months.

The total target production of AC machines in February, April and May was what percentage less than the total actual production of AC machines over all the five months (correct to one decimal place)?

46.20%

26.80%

47.10%

47.60%

Correct Answer is: D

Solution:

Q. 43.

If the eight-digit number 342x18y6 is divisible by 72, then what is the value of $\sqrt{9 x + y}$ , for the largest value of y?

Select the correct answer

2 $\sqrt{7}$

4 $\sqrt{7}$

Correct Answer is: D

Solution:

Q. 44. Read the following question carefully and answer it.

Select the correct answer

Correct Answer is: D

Solution:

Q. 45.

Two circles of radii 15 cm and 12 cm intersect each other, and the length of their common chord is 18 cm. What is the distance (in cm) between their centers?

Select the correct answer

18 + $\sqrt{7}$

15 + $\sqrt{7}$

12 + 2 $\sqrt{7}$

12 + 3 $\sqrt{7}$

Correct Answer is: D

Solution:

Q. 46.

The given graph presents the target and actual production of AC machines (numbers in thousands) of a factory over five months.

The actual production of AC machines in April was what percentage more than the average target production of AC machines over five months?

$10 \frac{1}{9}$ %

$11 \frac{1}{9}$ 9%

10%

Correct Answer is: B

Solution:

Q. 47.

Read the following question carefully and answer it.

Select the correct answer

$\frac{1}{45}$

$\frac{1}{18}$

$\frac{1}{90}$

$\frac{1}{3}$

Correct Answer is: C

Solution:

Q. 48. If a + b + c = 5, a² + b² + c² = 27 and a² + b³ + c³ = 125, then the value of 4abc is

Select the correct answer

-20

-15

Correct Answer is: A

Solution:

Q. 49.

If 3 $\sqrt{3}$ x³ - 2 $\sqrt{2}$ y³ = ( $\sqrt{3}$ x - $\sqrt{2}$ y) (Ax² - Bxy + Cy²), then the value of (A² + B² + C²) is

Select the correct answer

Correct Answer is: C

Solution:

Q. 50. The given graph presents the target and actual production of AC machines (numbers in thousands) of a factory over five months.

In which month the actual production of AC machines was 25% more than the target production?

February

March

January

May

Correct Answer is: B

Solution:

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