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In the given figure, ABC is a triangle in which BC is produced to D. If ∠A : ∠B : ∠C = 3 : 2 : 1, and AC ⊥ CE, then find ∠ECD.


A30°
B45°
C60°
D72°

If ΔPQR and ΔMQR are on the same base QR, PQ = MR and PR = MQ in the given figure, then which of the following gives a congruence relationship?


AΔPQR ≅ ΔMQR
BΔPQR ≅ ΔRQM
CΔPQR ≅ ΔMRQ
DΔPQR ≅ ΔQRM

In the word "OLYMPIAD", what fraction of alphabets are not vowels?

A³⁄₈
B⁵⁄₈
C⁴⁄₈
D⁶⁄₈

Subtract from the sum of and

A
B
C
D

Sum of lengths of brush Y and Z is ______ cm more than the length of brush X.


A7
B6
C8
D9

Which of the following options represents ¹⁄₅ part shaded?

A
B
C
D

Which one of the following is not a factor of 96?

A3
B4
C6
D7

In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively. AF and CE meet the diagonal BD of length 27 cm at P and Q respectively. Then length of PQ is

A11 cm
B9 cm
C6 cm
D8 cm

Which of the following statements is INCORRECT?

APyramid is a solid figure, the base of which is a triangle or square or some other polygon and its side faces are equilateral triangles that converges to a point at the top.
BIn geometry, we take a point, a line and a plane as undefined terms.
CIf the area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square.
DEuclid's fourth axiom says that things which coincide with one another are equal to one another.

Which of the following statements is true?

AIntegers are rational numbers but fractions are not.
BFractions are rational numbers but integers are not.
CNeither integers nor fractions are rational numbers.
DBoth integers and fractions are rational numbers.