Military College Jhelum Sample Paper Maths MCQs (Multiple Choice Questions) for entry test 1st Year:
1. In a circle, if a chord and a tangent intersect externally, then the angle between them is:
a) Equal to the angle subtended by the chord in the alternate segment
b) Equal to the angle subtended by the chord in the same segment
c) Equal to 90°
d) None of the above
2. The angle subtended by a major arc at any point on the circumference is:
a) Less than 90°
b) Equal to 90°
c) More than 90°
d) None of the above
3. What is the measure of an angle at the center of a circle if the corresponding arc measures 90 degrees?
a) 90°
b) 45°
c) 180°
d) 360°
4. In a circle, if two chords are equal, then:
a) Their corresponding arcs are equal
b) Their corresponding arcs are unequal
c) Their corresponding arcs subtend equal angles at the center
d) Their corresponding arcs subtend unequal angles at the center
5. What is the measure of an angle at the center of a circle if the corresponding arc measures 180 degrees?
a) 90°
b) 180°
c) 360°
d) 45°
6. If the angle subtended by an arc at the center of a circle is 120°, then the angle subtended by the same arc at any point on the remaining part of the circle is:
a) 30°
b) 60°
c) 120°
d) 240°
7. In a triangle ABC, if \(AB = 6\), \(AC = 8\), and \(BC = 10\), then the length of the projection of side AB on BC is:
a) 3
b) 4
c) 5
d) 6
8. The longest chord of a circle is its:
a) Diameter
b) Radius
c) Tangent
d) Secant
9. In a circle, the length of the tangent segment drawn from an external point is minimum when the point lies:
a) Inside the circle
b) Outside the circle
c) On the circle
d) None of the above
10. In a circle, if two chords are equal in length, then:
a) Their corresponding arcs are equal
b) Their corresponding arcs are unequal
c) Their corresponding arcs subtend equal angles at the center
d) Their corresponding arcs subtend unequal angles at the center
11. The angle subtended by a minor arc at the center of a circle is:
a) Less than 180°
b) Equal to 180°
c) More than 180°
d) None of the above
12. The diagonals of a rectangle are:
A) Congruent
B) Perpendicular
C) Equal
D) None of the above
13. The midpoint of a line segment with endpoints (2, 5) and (6, -3) is:
A) (4, 1)
B) (4, -1)
C) (8, 2)
D) (8, -2)
14. The value of log₁₀ 1000 is:
A) 1
B) 2
C) 3
D) 4
15. If two angles of a triangle are 30° and 60°, the third angle is:
A) 30°
B) 60°
C) 90°
D) 120°
16. The area of a parallelogram with base 8 units and height 5 units is:
A) 13 square units
B) 20 square units
C) 40 square units
D) 48 square units
17. In a parallelogram, the opposite angles are:
A) Supplementary
B) Congruent
C) Complementary
D) None of the above
18. If the sides of a triangle are in the ratio 3:4:5 and the perimeter is 24 units, what is the length of the smallest side?
A) 3 units
B) 4 units
C) 5 units
D) 6 units
19. The midpoint of a line segment with endpoints (-2, 3) and (4, -1) is:
A) (1, 1)
B) (1, -1)
C) (-1, 1)
D) (-1, -1)
20. Which of the following is a prime number?
A) 1
B) 2
C) 4
D) 6
21. The expansion of (a + b)³ is:
A) a³ + 3ab + b³
B) a³ + 3a²b + 3ab² + b³
C) a³ + b³
D) a² + 2ab + b²
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