Mathematics

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Q. A 15-meter tall tree casts a shadow of 10 meters. What is the angle of elevation of the sun? (2019)
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 75 degrees
Q. A bag contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is not black?
  • A. 2/5
  • B. 1/5
  • C. 1/2
  • D. 4/10
Q. A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is black?
  • A. 2/5
  • B. 3/5
  • C. 4/5
  • D. 1/5
Q. A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is not black?
  • A. 2/5
  • B. 3/5
  • C. 4/5
  • D. 1/5
Q. A bag contains 4 white, 3 black, and 5 red balls. If one ball is drawn at random, what is the probability that it is not black?
  • A. 1/4
  • B. 3/4
  • C. 5/12
  • D. 2/3
Q. A bag contains 4 white, 5 black, and 6 red balls. If one ball is drawn at random, what is the probability that it is not black?
  • A. 1/3
  • B. 2/3
  • C. 5/11
  • D. 7/11
Q. A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball? (2022)
  • A. 3/8
  • B. 5/8
  • C. 1/2
  • D. 1/3
Q. A box contains 10 balls numbered from 1 to 10. What is the probability of drawing a ball with an even number?
  • A. 1/2
  • B. 1/5
  • C. 1/10
  • D. 3/10
Q. A box contains 10 balls, 4 of which are red. If one ball is drawn at random, what is the probability that it is red? (2020)
  • A. 2/5
  • B. 1/2
  • C. 4/10
  • D. 3/10
Q. A box contains 10 balls, 4 of which are white. If one ball is drawn at random, what is the probability that it is not white? (2022)
  • A. 2/5
  • B. 3/5
  • C. 1/2
  • D. 1/4
Q. A box contains 10 balls, of which 4 are red and 6 are blue. If one ball is drawn, what is the probability that it is not red?
  • A. 2/5
  • B. 3/5
  • C. 4/5
  • D. 1/5
Q. A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn, what is the probability that it is black?
  • A. 3/5
  • B. 2/5
  • C. 1/2
  • D. 1/10
Q. A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn at random, what is the probability that it is white?
  • A. 2/5
  • B. 3/5
  • C. 4/10
  • D. 1/2
Q. A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn at random, what is the probability that it is black?
  • A. 3/5
  • B. 2/5
  • C. 1/2
  • D. 6/10
Q. A box contains 10 light bulbs, of which 3 are defective. If one bulb is selected at random, what is the probability that it is not defective?
  • A. 3/10
  • B. 7/10
  • C. 1/2
  • D. 1/3
Q. A box contains 3 red balls and 2 blue balls. If one ball is drawn at random, what is the probability that it is red?
  • A. 1/5
  • B. 2/5
  • C. 3/5
  • D. 4/5
Q. A box contains 3 red, 5 blue, and 2 green balls. If one ball is drawn at random, what is the probability that it is blue?
  • A. 1/10
  • B. 1/5
  • C. 1/2
  • D. 1/3
Q. A box contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball? (2021)
  • A. 3/8
  • B. 5/8
  • C. 1/2
  • D. 1/3
Q. A building is 40 m tall. From a point on the ground, the angle of elevation to the top of the building is 45 degrees. How far is the point from the base of the building? (2020)
  • A. 20 m
  • B. 30 m
  • C. 40 m
  • D. 50 m
Q. A building is 50 m tall. If a person standing 40 m away from the building sees the top at an angle of elevation of θ, what is the value of θ? (2021)
  • A. 36.87 degrees
  • B. 45 degrees
  • C. 53.13 degrees
  • D. 60 degrees
Q. A car travels 60 km in 1 hour. How far will it travel in 3 hours at the same speed? (2021)
  • A. 120 km
  • B. 150 km
  • C. 180 km
  • D. 200 km
Q. A chord of a circle is 8 cm long and is 3 cm away from the center. What is the radius of the circle? (2021)
  • A. 5 cm
  • B. 7 cm
  • C. 10 cm
  • D. 9 cm
Q. A circle has a circumference of 31.4 cm. What is its radius? (2021)
  • A. 5 cm
  • B. 10 cm
  • C. 15 cm
  • D. 20 cm
Q. A class has 30 students with an average score of 75. If 5 new students join with an average score of 80, what is the new average? (2023)
  • A. 76
  • B. 77
  • C. 78
  • D. 79
Q. A class has 30 students with an average score of 75. If a new student joins and the average becomes 76, what is the score of the new student? (2023)
  • A. 80
  • B. 85
  • C. 90
  • D. 95
Q. A class has an average score of 75. If one student scored 90, what is the average score of the remaining students if there are 20 students in total?
  • A. 74
  • B. 75
  • C. 76
  • D. 77
Q. A class has the following scores in a test: 56, 78, 78, 82, 82, 82, 90, 91. What is the mode of the scores?
  • A. 56
  • B. 78
  • C. 82
  • D. 90
Q. A class of 30 students has an average score of 75. If one student scores 90, what will be the new average? (2022)
  • A. 76
  • B. 77
  • C. 78
  • D. 79
Q. A class of students scored the following marks: 45, 50, 50, 55, 60, 60, 60, 70, 75. What is the mode of the scores?
  • A. 50
  • B. 55
  • C. 60
  • D. 70
Q. A class of students scored the following marks: 45, 55, 55, 60, 60, 60, 70, 75, 80. What is the mode of the scores?
  • A. 45
  • B. 55
  • C. 60
  • D. 70
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