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If + + + + = 35 and = + , then find the value of + .

A10
B18
C20
D15

Find the value of [(a - b)² (a + b)² (a + b)] ÷ (a² + 2ab + b²) (a² - 2ab + b²), when a = -1 and b = 2.

A1
B0
C10
D8

If O is centre of circle as shown in figure, ∠SOP = 102° and ∠ROP = ∠SOU = 72°, then find ∠OSU and ∠RTU respectively.


A54°, 93°
B45°, 110°
C54°, 96°
D45°, 94°

If then find the value of x and correct representation on the number line.

A
B
C
D

In the given figure (not drawn to scale), ABCD is a trapezium with AB parallel to DC, ADE is an isosceles triangle with AD = AE. Find ∠AEB and ∠EAB respectively.


A105°; 34°
B105°; 41°
C41°; 105°
D105°; 54°

Kunal cut a wire and bent it to form 6 similar rectangles. The breadth of each rectangle is 4 cm less than the half of its length. If the breadth of a rectangle is 18 cm, then what is the original length of the wire?

A656 cm
B744 cm
C696 cm
D764 cm

One of the factors of 4(x + y)(3a – b) + 6 (x + y)(2b – 3a) is

A (2b – 3a)
B (3a – b)
C (4a – 3b)
D (– 3a + 4b)

Three Roman numerals A, B and C, each having "V" only once in the place shown. Other two Roman numerals are either I or X or both.

Which of the following statements is true?

AThe smallest number is A.
BDifference between A and B is 8.
CB and C represents same number.
DNone of these

Find the value of .


A0
B1
C
D

Select the incorrect option.

ATriangles with all unequal sides is called a scalene triangle.
BAt 1:15, the smaller angle formed between the two hands of a clock is acute angle.
CLines intersecting at 90° are called perpendicular lines.
DAn angle greater than 90° but less than 360° is called an obtuse angle.