Most Important Math Questions For SSC CGL

Hello Aspirants,

The Staff Selection Commission (SSC) Combined Graduate Level (CGL) examination is a highly competitive exam that tests candidates’ knowledge and skills in various subjects, including mathematics. While the specific questions on the exam can vary from year to year, there are certain topics and types of questions that are consistently important in the SSC CGL math section. Here are some key math topics and sample questions that are frequently asked in SSC CGL exams:

1. Number System:
   • Prime numbers, factors, and multiples.
   • Divisibility rules.
   • LCM and HCF.
   • Decimal and fraction conversions.

   Sample Question: Find the LCM of 12, 15, and 18.

2. Percentage:
   • Calculation of percentage.
   • Increase/decrease percentages.
   • Percentage change.

   Sample Question: If the price of a product increased from $50 to $60, what is the percentage increase?

3. Profit and Loss:
   • Calculation of cost price, selling price, and profit/loss.
   • Successive discounts.

   Sample Question: If an article is sold at a profit of 20%, and the cost price is $120, what is the selling price?

4. Average:
   • Calculation of average.
   • Problems involving the mean.

   Sample Question: The average of 5 numbers is 25. If one number is 30, what is the average of the remaining numbers?

5. Ratio and Proportion:
   • Ratio and proportion problems.
   • Variation problems.

   Sample Question: If the ratio of boys to girls in a class is 3:2, and there are 24 girls, how many boys are there?

6. Time, Speed, and Distance:
   • Problems involving speed, distance, and time.
   • Relative speed.

   Sample Question: A car travels 240 miles in 4 hours. What is its average speed in miles per hour?

7. Geometry:
   • Properties of triangles, circles, and quadrilaterals.
   • Area and perimeter calculations.

   Sample Question: Find the area of a triangle with a base of 8 cm and a height of 6 cm.

8. Algebra:
   • Simplification of algebraic expressions.
   • Linear equations and quadratic equations.

   Sample Question: Solve for x: 2x + 5 = 15.

9. Mensuration:
   • Problems involving areas and volumes of 2D and 3D shapes.
   • Surface area and volume of cylinders, cones, and spheres.

   Sample Question: Find the volume of a cube with a side length of 4 cm.

10. Data Interpretation:
    • Tabular data, bar graphs, and pie charts.
    • Calculations based on data.

    Sample Question: Refer to the given bar graph and answer questions related to the data.

Remember that these are just some of the important math topics for SSC CGL. It’s crucial to practice a variety of questions from different topics and refer to official SSC CGL exam materials and previous year question papers for a better understanding of the exam pattern and difficulty level.

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Math Question in Hindi
Q.1- a³-b³ =127, (a-b) = 1 और ab = 42, तब (a²-b²) का मान ज्ञात कीजिए?

(A) 26
(B) 7
(C) 13
(D) 5
Show Answers
C
Q.2- एक ट्रेन 15 मिनट में 20 किमी की दूरी तय करती है। यदि इसकी गति 10 किमी / घंटा बढ़ जाती है, तो उसी दूरी को तय करने के लिए समय लगेगा:

(A) 13 मिनट 20 sec.
(B) 12 मिनट
(C) 10 मिनट
(D) 11 मिनट 10 sec.
Show Answers
A
Q.3- घनाभ का आयतन 1512 सेमी³ है। यदि आधार का क्षेत्रफल 108 सेमी² है, तो इसकी ऊंचाई है:

(A) 14
(B) 7
(C) 12
(D) 10
Show Answers
A
Q.4- 3²¹ + 3²³ + 3²⁵ किसके द्वारा विभाज्य है-

(A) 4
(B) 7
(C) 12
(D) 5
Show Answers
B
Q.5- △XYZ में, XY और XZ क्रमशः 20 सेमी और 25 सेमी है, XP, ∠YXZ के कोण द्विभाजक है, YP = a सेमी और PZ = (a + 3) सेमी। △XYZ में, XY और XZ क्रमशः 20 सेमी और 25 सेमी हैं, XP कोण है यदि I त्रिभुज का केन्द्रक है तो XI : IP =? का अनुपात ज्ञात कीजिए।

(A) 5:3
(B) 4:5
(C) 3:5
(D) 5:4
Show Answers
A
Q6- यदि 3tanθ +4 =0 जहा π/2 <θ < π, तो 2cotθ – 5cosθ – sinθ का मान होगा-

(A) 2/3
(B) (-7/10)
(C) 7/10
(D) 3/2
Show Answers
C
Q.7- किस मिश्रधन पर 20% प्रति वर्ष की दर से 1 साल में चक्रवृद्धि ब्याज ₹1050 प्राप्त होगा यदि ब्याज की दर अर्द्धवार्षिक हो।

(A) 6000
(B) 5000
(C) 5500
(D) 4000
Show Answers
B
Q.8- यदि धन का योग 12 वर्ष बाद स्वयं का 4 गुना हो जाता है। फिर राशि की ब्याज दर ज्ञात कीजिए।

(A) 16.66%
(B) 20%
(C) 25%
(D) 12.5%
Show Answers
C
Q.9- यदि एक आयत का विकर्ण और क्षेत्रफल क्रमशः 29m और 420m। है। आयत की लंबाई कितनी है ?

(A) 20
(B) 21
(C) 25
(D) 32
Show Answers
B
Q.10- यदि cosθ=1/2 तथा p= tanθ तो p² -5p-2 का मान ज्ञात कीजिए-

(A) 1-5√3
(B) 2-3√3
(C) 7√3
(D) 7+√2
Show Answers
A
Q.11- ज्योति ने एक स्कूटी 26,000 में खरीदी। उसने इसे 10% की हानि पर बेचा। उस पैसे से उसने दूसरा स्कूटर खरीदा और उसे 20% के लाभ पर बेचा। कुल लाभ/हानि क्या है ?

(A) 2080
(B) 3080
(C) 2500
(D) 3205
Show Answers
A

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