CDS Maths(1) Questions and answers

Topics

  1. Exams
    1. TNPSC
    2. Bank Exams
    3. CDSE
      1. CDS General English(1)
      2. CDS General Knowledge(1)
      3. CDS Maths(1)
      4. CDS General English(2)
      5. CDS General Knowledge(2)
      6. CDS Maths(2)
      7. CDS GK(3)
      8. CDS GK(4)
    4. SSC Exams

These are the list of questions asked in the previous year CDS Maths Exams. You can practice these questions as real time exam in this link.


71). Consider the following statements in respect of an equilateral triangle :
1. The altitudes are congruent.
2. The three medians are congruent.
3. The centroid bisects the altitude.
Which of the above statements are correct?
A). 1 and 2 only
B). 2 and 3 only
C). 1 and 3 only
D). 1, 2 and 3
72). Consider the following : ABC and DEF are triangles in a plane such that AB is parallel to DE, BC is parallel to EF and CA is parallel to FD.
Statement I : If angle ABC is a right angle, then angle DEF is also a right angle. ,
Statement II : Triangles of the type ABC and DEF are always congruent.
Which one of the following is correct in respect of the above statements ?
A). Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I
B). Statement-I and Statement-II are correct and Statement-II in not the correct explanation of Statement-l
C). Statement-l is correct and Statement-II is incorrect
D). Statement I is incorrect and Statement-II is correct
73). Let the incircle to a triangle ABC touch BC, AC and AB respectively at the points X, Y and Z.
Statement I: If AB > BC, then AB + AZ < BC + XC
Statement H : AZ = AY
Which one of the following is correct in respect of the above statements?
A). Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I
B). Statement-I and Statement-II are correct and Statement-II in not the correct explanation of Statement-l
C). Statement-l is correct and Statement-II is incorrect
D). Statement I is incorrect and Statement-II is correct
74). Let ABC be a triangle in which \( \angle ACB = 60^{\circ}\) and AC = x < BC. Let the circle with centre at C and radius x meet BC at D. Let CF be the perpendicular drawn from C meeting AD at F.
Statement I : Triangle ACD is isosceles but not equilateral.
Statement II : DF = x/2
Which one of the following is correct in respect of the above statements?
A). Statement I and Statement II are correct and Statement II is the correct explanation of Statement I
B). Statement I and Statement II are correct and Statement II is not the correct explanation of Statement I
C). Statement I is correct and Statement II is incorrect
D). Statement I is incorrect and Statement II is correct
75). Bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect each other at a point P. Which one of the following is correct?
A). \(2 \angle APB = \angle C + \angle D \)
B). \(\angle APB = \angle C + \angle D \)
C). \(\angle APB = 180^{\circ}( \angle A + \angle B) \)
D). \(\angle APB = 180^{\circ}( \angle C + \angle D) \)


76). In a triangle ABC, AD is the median through A and E is the midpoint of AD, and BE produced meets AC at F. Then AF is equal to
A). \( \Large \frac{AC}{5} \)
B). \( \Large \frac{AC}{4} \)
C). \( \Large \frac{AC}{3} \)
D). \( \Large \frac{AC}{2} \)
77). Three straight lines are drawn through the three vertices of a triangle ABC, the line through each vertex being parallel to the opposite side. The triangle DEF is bounded by these parallel lines. Consider the following statements in respect of the triangle DEF:
1. Each side of triangle DEF is double the side of triangle ABC to which it is parallel.
2. Area of triangle DEF is four times the area of triangle ABC.
Which of the above statements is/are correct?
A). 1 only
B). 2 only
C). Both 1 and 2
D). Neither 1 nor 2
78). Let ABCD be a parallelogram. Let X and Y be the midpoints of the sides BC and AD respectively. Let M and N be the midpoints of the sides AB and CD respectively. Consider the following statements :
1. The straight line MX cannot be parallel to YN
2. The straight lines AC, BD, XY and MN meet at a point.
Which of the above statements is/are correct?
A). 1 only
B). 2 only
C). Both 1 and 2
D). Neither 1 nor 2
79). The chord of an arc of a circle is of length x, the height of the arc is y and the radius of the circle is z.
Which one of the following is correct?
A). y(2z -y) = \( x^{2}\)
B). y(2z - y) = \( 4x^{2}\)
C). 2y(2z - y) =\( x^{2}\)
D). 4y(22 - y) = \( x^{2}\)
80). In a triangle ABC,
A). \( \sqrt{2}\):1
B). \( \sqrt{3}\):1
C). 1:1
D). 1:\( \sqrt{2}\)
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