SSC CGL · Quantitative Aptitude

Geometry, Mensuration and Data

17 practice questions, each with the answer and an explanation.

Practise Geometry, Mensuration and Data now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 17 questions

  1. A tower casts a shadow equal to its height when the sun's elevation is 45 degrees. If the shadow is 30 m, what is the tower's height?
  2. A number is chosen at random from 1 to 40. What is the probability that it is a multiple of 2?
  3. A number is chosen at random from 1 to 30. What is the probability that it is a multiple of 5?
  4. Find the volume of a cylinder with radius 14 cm and height 3 cm. (Use pi = 22/7)
  5. Sales (in Rs lakh) of a firm were 410, 405, 320, 245 in 2019, 2020, 2021, 2022 respectively. What was the percentage change in sales from 2021 to 2022, to the nearest whole number?
  6. A ladder of length 100 m leans against a wall making 60 degrees with the ground. How high on the wall does it reach? (Take √3 = 1.73)
  7. Sales (in Rs lakh) of a firm were 445, 205, 305, 320 in 2019, 2020, 2021, 2022 respectively. What was the percentage change in sales from 2020 to 2021, to the nearest whole number?
  8. From a point 90 m from the foot of a tower, the angle of elevation of the top is 30 degrees. What is the height of the tower? (Take √3 = 1.73)
  9. Sales (in Rs lakh) of a firm were 290, 415, 210, 280 in 2019, 2020, 2021, 2022 respectively. What was the percentage change in sales from 2019 to 2020, to the nearest whole number?
  10. Sales (in Rs lakh) of a firm were 410, 365, 410, 360 in 2019, 2020, 2021, 2022 respectively. What was the percentage change in sales from 2020 to 2021, to the nearest whole number?
  11. Sales (in Rs lakh) of a firm were 450, 415, 430, 290 in 2019, 2020, 2021, 2022 respectively. What was the percentage change in sales from 2020 to 2021, to the nearest whole number?
  12. A number is chosen at random from 1 to 50. What is the probability that it is a multiple of 5?
  13. Sales (in Rs lakh) of a firm were 435, 230, 235, 205 in 2019, 2020, 2021, 2022 respectively. What was the percentage change in sales from 2019 to 2020, to the nearest whole number?
  14. Sales (in Rs lakh) of a firm were 205, 270, 325, 395 in 2019, 2020, 2021, 2022 respectively. What was the percentage change in sales from 2021 to 2022, to the nearest whole number?
  15. A ladder of length 40 m leans against a wall making 60 degrees with the ground. How high on the wall does it reach? (Take √3 = 1.73)
  16. Sales (in Rs lakh) of a firm were 290, 385, 380, 370 in 2019, 2020, 2021, 2022 respectively. What was the percentage change in sales from 2020 to 2021, to the nearest whole number?
  17. From a point 60 m from the foot of a tower, the angle of elevation of the top is 30 degrees. What is the height of the tower? (Take √3 = 1.73)

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