Quantitative Aptitude – Maths Questions for SSC CHSL in (English) to test Basic Arithmetic Skill. Online Practice Set : Questions and Answers from previous year exam question as per latest syllabus and exam pattern.

**Set 1 :** **Maths Questions for SSC CHSL**

**Q.1:** When (2^{24} – 1) is divided by 7, the remainder is :

(A) 2

(B) 0

(C) 4

(D) 1

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**Q.2:** If a + b + c = 7 and a^{3} + b^{3} + c^{3} – 3abc = 301, then ab + bc + ca = ?

(A) -4

(B) -2

(C) 3

(D) 2

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**Q.3:** Study the given graph and answer the question that follows.

(A) 12.5

(B) 12.9

(C) 14.3

(D) 11.25

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**Q.4:** In a circle with centre 0, chord AB and diameter CD intersect each other at point E, inside the circle, If , then what is the measure (in degrees) of ?

(A) 73

(B) 62

(C) 58

(D) 84

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**Q.5:** If , then what is the value of ?

(A)

(B)

(C)

(D)

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**Q.6:** If x^{2} + 1 – 2x = 0, x > 0, then x^{2}(x^{2} – 2)= ______.

(A) 1

(B)

(C) -1

(D) 0

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**Q.7:** Chords AB and CD of a circle intersect externally at P. If CD=11.6 cm, PD=6.4 cm and PB=7.2 cm, then AB (in cm) is equal to:

(A) 12

(B) 16

(C) 8.8

(D) 4.8

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**Q.8:** If , then what is the value of ?

(A)

(B)

(C)

(D)

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**Q.9:** the value of is:

(A)

(B)

(C)

(D)

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**Q.10:** The perimeters of two similar triangles ABC and PQR are 156cm and 46.8 cm, respectively. If BC = 19.5 cm and QR = x cm, then the value of x is:

(A) 5.85 cm

(B) 6.75 cm

(C) 3.76 cm

(D) 4.29 cm

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**Q.11:** A can complete a certain work in 30 days. He started the work. After 4 days, B joined him and the whole work was completed in 10 days from the beginning, B alone can complete one-third of the same work in:

(A) 6 days

(B) 3 days

(C) 4 days

(D) 2 days

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**Q.12:** If the different between the compound interest compounded annually and the simple interest on a certain sum of money for three years at 10% per annum is ₹279, then the sum (in ₹) is:

(A) 10,000

(B) 8,000

(C) 7,500

(D) 9,000

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**Q.13:** In , AB = 20 cm and BC = 29 cm. What is the value of (sinB – cotC) ?

(A)

(B)

(C)

(D)

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**Q.14:** In a constituency, 55% of the total number of voters are males and the rest are females. If 40% of the males are illiterate and 40% of the females are literate, then by what percentage is the number of illiterate females more than that of the illiterate males (correct to one decimal place)?

(A) 22.7%

(B) 16.4%

(C) 21.5%

(D) 20.8%

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**Q.15:** By selling 3 dozen oranges for ₹405, a trader loses 25%. How many oranges should he sell for ₹288 if he needs to earn a profit of 20% in the transaction?

(A) 18

(B) 15

(C) 16

(D) 12

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**Q.16:** X and Y start at the same time to ride from place A to place B, Which is 80 km away from A. X travels 4 km per hour slower than Y. Y reaches place B and at once turns back meeting X, 16 km from place B. Y’s speed (in km/h) is:

(A) 9

(B) 15

(C) 8

(D) 12

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**Q.17:** There are three numbers. If the ratio of the first to the second number is 2 : 7 and that of the second to the third number is 5 : 8, then the ratio of the first to the third number is:

(A) 7 : 8

(B) 5 : 28

(C) 1 : 4

(D) 5 : 7

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**Q.18:** Study the given graph and answer the question that follows.

(A) 9 : 7

(B) 3 : 2

(C) 5 : 4

(D) 8 : 5

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**Q.19:** BD and CE are the medians of , right angled at A. If CE cm, BC=10 cm, then the length of BD is:

(A) cm

(B) cm

(C) cm

(D) cm

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**Q.20:** The following histogram represents the daily earnings of 50 medical stores in a locality.

(A) 24%

(B) 16%

(C) 15%

(D) 12%

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**Q.21:** The marked price of an article is ₹480. A person buys it at two successive discounts of 15% and 10%. He sells it at a profit of 25%. What is his profit (in ₹) ?

(A) 95.40

(B) 90.60

(C) 91.80

(D) 93.20

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**Q.22:** The average of 19 number is 48. The average of the first 7 numbers is 50.6 and that of the last 13 numbers is 47.6. If the 7^{th} number is excluded, then what is the average of the remaining numbers (correct to one decimal place)?

(A) 42.4

(B) 49.5

(C) 39.6

(D) 47.3

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**Q.23:** Study the following bar graph and answer the question given below.

The bar graph represents the total number of applications received for B.SC, Mathematics by two different colleges A and B in 5 different years.

(A) 5

(B) 4

(C) 6

(D) 8

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**Q.24:** As observed from the top of a lighthouse. 42 m high above sea-level, the angle of depression of a ship sailing directly towards it changes from 30^{o} to 45^{o}. The distance travelled by the ship during the period of observation is:

(A)

(B)

(C)

(D) 42

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**Q.25:** What is the cost (in ₹) of levelling a triangular park with sides 60 m, 112m and 164 m at the rate of ₹10.50 per m^{2} ?

(A) 21,063

(B) 20,160

(C) 21,168

(D) 21,000

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Maths Questions for SSC CHSL