Defence Exams

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Q. The area of a triangle is 60 cm². If the base is 10 cm, what is the height? (2019)
  • A. 8 cm
  • B. 10 cm
  • C. 12 cm
  • D. 15 cm
Q. The area of a triangle is 60 square units. If the base is 10 units, what is the height? (2019)
  • A. 6
  • B. 12
  • C. 8
  • D. 10
Q. The average of 10 numbers is 50. If one number is removed, the average becomes 48. What is the removed number?
  • A. 60
  • B. 50
  • C. 40
  • D. 30
Q. The average of 10, 20, 30, and x is 25. What is the value of x?
  • A. 20
  • B. 30
  • C. 40
  • D. 50
Q. The average of 4 numbers is 15. If one number is increased by 5, what will be the new average? (2019)
  • A. 15
  • B. 16
  • C. 17
  • D. 18
Q. The average of 4, 6, 8, and x is 7. What is the value of x?
  • A. 6
  • B. 8
  • C. 10
  • D. 12
Q. The average of 7 numbers is 14. If one number is added which is 10 more than the average, what will be the new average?
  • A. 15
  • B. 16
  • C. 17
  • D. 18
Q. The average of 8 numbers is 15. If one number is excluded, the average of the remaining numbers becomes 12. What is the excluded number?
  • A. 24
  • B. 20
  • C. 18
  • D. 16
Q. The average of five consecutive integers is 12. What is the smallest of these integers?
  • A. 10
  • B. 11
  • C. 12
  • D. 13
Q. The average of five numbers is 20. If one number is excluded, the average of the remaining numbers becomes 18. What is the excluded number?
  • A. 22
  • B. 24
  • C. 20
  • D. 18
Q. The average of five numbers is 20. If one number is removed, the average becomes 18. What is the number removed?
  • A. 22
  • B. 24
  • C. 20
  • D. 18
Q. The average of three consecutive integers is 20. What are the integers?
  • A. 19, 20, 21
  • B. 18, 19, 20
  • C. 20, 21, 22
  • D. 17, 18, 19
Q. The average of three numbers is 15. If one number is increased by 5, what will be the new average?
  • A. 15
  • B. 16
  • C. 17
  • D. 18
Q. The average of three numbers is 40. If the first number is increased by 10, what will be the new average?
  • A. 42
  • B. 43
  • C. 44
  • D. 45
Q. The average of two numbers is 30. If one number is 20, what is the other number?
  • A. 40
  • B. 50
  • C. 60
  • D. 70
Q. The Ayushman Bharat scheme is primarily aimed at providing which of the following? (2018)
  • A. Free education for all
  • B. Health insurance for the poor
  • C. Housing for the homeless
  • D. Employment for youth
Q. The Beti Bachao Beti Padhao scheme primarily focuses on which of the following? (2015)
  • A. Promoting women's entrepreneurship
  • B. Preventing female foeticide and promoting education for girls
  • C. Providing financial aid for women's health
  • D. Encouraging women in sports
Q. The circumference of a circle is 31.4 cm. What is the radius of the circle? (Use π = 3.14) (2019)
  • A. 5 cm
  • B. 10 cm
  • C. 7 cm
  • D. 15 cm
Q. The concept of 'Judicial Review' in the Indian Constitution is derived from which country's Constitution? (2022)
  • A. USA
  • B. UK
  • C. Canada
  • D. Australia
Q. The coordinates of the centroid of a triangle with vertices at (1, 2), (3, 4), and (5, 6) are:
  • A. (3, 4)
  • B. (2, 3)
  • C. (4, 5)
  • D. (3, 5)
Q. The coordinates of the centroid of a triangle with vertices at (2, 3), (4, 5), and (6, 7) are:
  • A. (4, 5)
  • B. (3, 4)
  • C. (5, 6)
  • D. (6, 5)
Q. The coordinates of the foot of the perpendicular from the point (1, 2) to the line 2x + 3y = 6 are:
  • A. (2, 0)
  • B. (0, 2)
  • C. (1, 1)
  • D. (0, 0)
Q. The coordinates of the foot of the perpendicular from the point (1, 2) to the line 3x + 4y = 12 are:
  • A. (2, 1)
  • B. (1, 2)
  • C. (0, 3)
  • D. (3, 0)
Q. The coordinates of the foot of the perpendicular from the point (3, 4) to the line 2x + 3y - 6 = 0 are:
  • A. (2, 0)
  • B. (0, 2)
  • C. (1, 1)
  • D. (2, 2)
Q. The coordinates of the foot of the perpendicular from the point (3, 4) to the line 2x + 3y = 6 are:
  • A. (2, 0)
  • B. (1, 2)
  • C. (0, 2)
  • D. (2, 2)
Q. The Dandi March was a significant event in which year? (1930)
  • A. 1930
  • B. 1942
  • C. 1920
  • D. 1947
Q. The Digital India initiative aims to transform India into a digitally empowered society and knowledge economy. What is one of its key components? (2015)
  • A. Skill development
  • B. Financial inclusion
  • C. E-governance
  • D. Rural development
Q. The Directive Principles of State Policy are enshrined in which part of the Constitution? (2019)
  • A. Part III
  • B. Part IV
  • C. Part V
  • D. Part VI
Q. The equation of a line with slope 2 passing through the point (1, 3) is?
  • A. y = 2x + 1
  • B. y = 2x + 2
  • C. y = 2x + 3
  • D. y = 2x - 1
Q. The equation of a parabola with vertex at (0, 0) and directrix y = -3 is?
  • A. x^2 = -12y
  • B. y^2 = -12x
  • C. x^2 = 12y
  • D. y^2 = 12x
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