# Free PDF Download Math Tricky Questions AMBQID 1 to 100

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The next questions solutions series of **AMBQID 101 to 200** is started on **facebook page as Amans Maths Blogs AMB**. Kindly check it on facebook and LIKE my facebook page to get the questions and solutions of **AMBQID 101 to 200**.

**Free PDF Download Math Tricky Questions**:

**AMBQID 1**

An equilateral triangle is surrounded by three squares, as shown in the figure. Find the value of x?

**Solution of AMBQID 1**

**Free PDF Download Math Tricky Questions**: **AMBQID 2**

In a unit circle, find the area of a shaded region.

**Solution of AMBQID 2**

**Free PDF Download Math Tricky Questions**: **AMBQID 3**

Evaluate the expression.

**Solution of AMBQID 3**

**Free PDF Download Math Tricky Questions**: **AMBQID 4**

All quadrilaterals are squares. Find the ratio of Ar(Red Square) / Ar(Green Square).

**Solution of AMBQID 4**

**Free PDF Download Math Tricky Questions**: **AMBQID 5**

In a circle, C is the centre. If ar(PQR) = 2ar(PSR), then find the angle PRS.

**Solution of AMBQID 5**

**Free PDF Download Math Tricky Questions**: **AMBQID 6**

An equilateral triangle is surrounded by three squares, as shown in the figure. Find the value of x?

**Solution of AMBQID 6**

**Free PDF Download Math Tricky Questions**: **AMBQID 7**

If BC = AD, then find the angle ABC.

**Solution of AMBQID 7**

**Free PDF Download Math Tricky Questions**: **AMBQID 8**

If Area inside the circle but outside the triangle is equal to the area inside the triangle but outside the circle, then find the radius of circle.

**Solution of AMBQID 8**

**Free PDF Download Math Tricky Questions**: **AMBQID 9**

In triangle PQR, I (Incenter), O (Orthocentre), C(Circumcircle), Q and R (Vertices) are lie on a circle, then find the angle P.

**Solution of AMBQID 9**

**Free PDF Download Math Tricky Questions**: **AMBQID 10**

If 4^{x} = 9 and 9^{y} = 256, then the value of xy is

**Solution of AMBQID 10**

**Free PDF Download Math Tricky Questions**: **AMBQID 11**

A square is inside an equilateral triangle. Find (x + y).

**Solution of AMBQID 11**

**Free PDF Download Math Tricky Questions**: **AMBQID 12**

If two positive integers x and y (x > y) are the length and breadth respectively such that perimeter of rectangle = area of rectangle, then find (x – y).

**Solution of AMBQID 12**

**Free PDF Download Math Tricky Questions**: **AMBQID 13**

If CD = 32 and shaded area is kπ, then find the value of k.

**Solution of AMBQID 13**

**Free PDF Download Math Tricky Questions**: **AMBQID 14**

In 10 sided regular polygon, find the value of x.

**Solution of AMBQID 14**

**Free PDF Download Math Tricky Questions**: **AMBQID 15**

If ar(ABCD) = 243, then find R.

**Solution of AMBQID 15**

**Free PDF Download Math Tricky Questions**: **AMBQID 16**

Two triangles are congruent equilateral triangles, then find x.

**Solution of AMBQID 16**

**Free PDF Download Math Tricky Questions**: **AMBQID 17**

An equilateral triangle is inside a regular octagon, then find x.

**Solution of AMBQID 17**

**Free PDF Download Math Tricky Questions**: **AMBQID 18**

Red Shared Area is equal to Blue Shaded Area. If the side of the square is 2√π, then find the radius of circle.

**Solution of AMBQID 18**

**Free PDF Download Math Tricky Questions**: **AMBQID 19**

If red shared area = 18 cm^{2}, then find the value of x.

**Solution of AMBQID 19**

**Free PDF Download Math Tricky Questions**: **AMBQID 20**

If red area = green area = blue area, then find the value of AB/BC.

**Solution of AMBQID 20**

**Free PDF Download Math Tricky Questions**: **AMBQID 21**

If (a^{2} + 1)(b^{2} + 1) + 16 = 8(a + b), then find the value of (a^{3} + b^{3}).

**Solution of AMBQID 21**

**Free PDF Download Math Tricky Questions**: **AMBQID 22**

Find the GREEN shaded area.

**Solution of AMBQID 22**

**Free PDF Download Math Tricky Questions**: **AMBQID 23**

If AB = 12 units, then find the yellow shaded area.

**Solution of AMBQID 23**

**Free PDF Download Math Tricky Questions**: **AMBQID 24**

If a is the one of the roots of x^{2} + 2x + 3 = 0, then find the value of (a^{5} + 3a^{4} + 3a^{3} – a^{2}) / (a^{2} + 3).

**Solution of AMBQID 24**

**Free PDF Download Math Tricky Questions**: **AMBQID 25**

Three congruent semi-circles with radius 1 unit inside an equilateral triangle, touching each other as shown in figure. Find x.

**Solution of AMBQID 25**

**Free PDF Download Math Tricky Questions**: **AMBQID 26**

In the figure, there is a pattern of four identical rhombuses. Then, find the value of x.

**Solution of AMBQID 26**

**Free PDF Download Math Tricky Questions**: **AMBQID 27**

In triangle ABC, PQ || MN such that AP : PB = 5 : 3 and AM : MC = 1 : 4, BQ = 6 and NC = 12. Then, find x.

**Solution of AMBQID 27**

**Free PDF Download Math Tricky Questions**: **AMBQID 28**

In right triangle ABC, A is right angle and M is the midpoint of AC. If AP is perpendicular to BM and angle ACB = α and angle PAM = β, then find tanα.tanβ.

**Solution of AMBQID 28**

**Free PDF Download Math Tricky Questions**: **AMBQID 29**

Triangle ABC is an isosceles triangle with AB = AC and BL is perpendicular to AC. If BL = 4 cm and BC = 5 cm, then find area of triangle ABC.

**Solution of AMBQID 29**

**Free PDF Download Math Tricky Questions**: **AMBQID 30**

Simplify the expression.

**Solution of AMBQID 30**

**Free PDF Download Math Tricky Questions**: **AMBQID 31**

ABCD is a rectangle formed by 5 squares each of area 1 sq. units. BD is a diagonal. Then, find shaded area (in sq. units).

**Solution of AMBQID 31**

**Free PDF Download Math Tricky Questions**: **AMBQID 32**

If x = 99, then find the value of x(x^{2} + 3x + 3).

**Solution of AMBQID 32**

**Free PDF Download Math Tricky Questions**: **AMBQID 33**

If the central angle of a sector is 60 degree whose radius is OA = OB = 6 units. Then, find the area of circle inscribed in sector.

**Solution of AMBQID 33**

**Free PDF Download Math Tricky Questions**: **AMBQID 34**

ABCD is a rectangle. If PC = 8 units, then find the area of rectangle ABCD.

**Solution of AMBQID 34**

**Free PDF Download Math Tricky Questions**: **AMBQID 35**

Find the sum of angles (a + b + c + d + e + f + g + h + i).

**Solution of AMBQID 35**

**Free PDF Download Math Tricky Questions**: **AMBQID 36**

In triangle ABC, if all the three angles A, B and C (in degrees) are perfect squares, then the triangle ABC is

**Solution of AMBQID 36**

**Free PDF Download Math Tricky Questions**: **AMBQID 37**

An equilateral triangle PQR is inside another equilateral triangle ABC such that corresponding sides are parallel. Find (x + y + z).

**Solution of AMBQID 37**

**Free PDF Download Math Tricky Questions**: **AMBQID 38**

Rectangle is made of three equal squares of side length 8 units. Find the sum of all angles (α + β + y).

**Solution of AMBQID 38**

**Free PDF Download Math Tricky Questions**: **AMBQID 39**

If T_{n} = 2^{88} – 2^{87} – 2^{86} – 2^{85} – … to n terms, then find the value of T_{34}.

**Solution of AMBQID 39**

**Free PDF Download Math Tricky Questions**: **AMBQID 40**

Find the value of FourthRoot(2^4^44).

**Solution of AMBQID 40**

**Free PDF Download Math Tricky Questions**: **AMBQID 41**

In the figure, both quadrilaterals are squares. Find the green shaded area.

**Solution of AMBQID 41**

**Free PDF Download Math Tricky Questions**: **AMBQID 42**

In the figure, if l_{1} || l_{2}, then find the angle θ.

**Solution of AMBQID 42**

**Free PDF Download Math Tricky Questions**: **AMBQID 43**

Three equal circles of radii 20 have centres at A, B and C. If x = 5, y = 10 and z = 12, then find the perimeter of the triangle ABC.

**Solution of AMBQID 43**

**Free PDF Download Math Tricky Questions**: **AMBQID 44**

If O is centre of semi-circle, then find the black shaded area.

**Solution of AMBQID 44**

**Free PDF Download Math Tricky Questions**: **AMBQID 45**

If a line from a vertex of a triangle divides the area and the perimeter of the triangle into two equal parts, then the line passes through

**Solution of AMBQID 45**

**Free PDF Download Math Tricky Questions**: **AMBQID 46**

If a, b, c are the three factors of x^{3} – 7x – 6, then find the value of (a + b + c).

**Solution of AMBQID 46**

**Free PDF Download Math Tricky Questions**: **AMBQID 47**

Find the value of the expression.

**Solution of AMBQID 47**

**Free PDF Download Math Tricky Questions**: **AMBQID 48**

A rectangular sheet is folded along dotted line as shown below. Find x.

**Solution of AMBQID 48**

**Free PDF Download Math Tricky Questions**: **AMBQID 49**

In the figure, if AM = MN = BN = NC and angle A = 90 degree, then find x.

**Solution of AMBQID 49**

**Free PDF Download Math Tricky Questions**: **AMBQID 50**

Find the value of cosα.cosβ.

**Solution of AMBQID 50**

**Free PDF Download Math Tricky Questions**: **AMBQID 51**

An irregular hexagon is inside a circle. Find the value of x?

**Solution of AMBQID 51**

**Free PDF Download Math Tricky Questions**: **AMBQID 52**

Two quadrant circles are inside a square. Find Green Shaded Area / Square Area.

**Solution of AMBQID 52**

**Free PDF Download Math Tricky Questions**: **AMBQID 53**

The polynomial p(x) = ax^{d} + bx^{c} + cx^{b} + ex^{a-9} is complete polynomial and written in decreasing order of degrees. If p(0) = 900, then the value of (a + b + c + d + e).

**Solution of AMBQID 53**

**Free PDF Download Math Tricky Questions**: **AMBQID 54**

Two quadrilaterals are unit squares. Find the area of red triangle.

**Solution of AMBQID 54**

**Free PDF Download Math Tricky Questions**: **AMBQID 55**

The simplification of ((2019)4 + (2019)2 + 1)/((2019)3 + 1) is a + b/c. Then, find the value of (a + b + c).

**Solution of AMBQID 55**

**Free PDF Download Math Tricky Questions**: **AMBQID 56**

If (111… to 109 time) + (222… to 109 time) + (333… to 109 time) + (444… to 109 time) + (555… to 109 time) + (666… to 109 time) + (777… to 109 time) is divided by 37, then find the remainder.

**Solution of AMBQID 56**

**Free PDF Download Math Tricky Questions**: **AMBQID 57**

If (x – 8)(x – 10)(x – 12)…(x – 96)(x – 98)(x – 100) < 0 then find the number of positive integral values of x.

**Solution of AMBQID 57**

**Free PDF Download Math Tricky Questions**: **AMBQID 58**

If x ≠ 1 and x^{2} + 15/x = 16, then find the value of x^{2} + x – 12.

**Solution of AMBQID 58**

**Free PDF Download Math Tricky Questions**: **AMBQID 59**

If x is the real number such that x√x = 4√x + √3, then find the value of x – √(3x).

**Solution of AMBQID 59**

**Free PDF Download Math Tricky Questions**: **AMBQID 60**

In triangle ABC, I is the incenter, then find the area of triangle ABD.

**Solution of AMBQID 60**

**Free PDF Download Math Tricky Questions**: **AMBQID 61**

Find the value of (α + β).

**Solution of AMBQID 61**

**Free PDF Download Math Tricky Questions**: **AMBQID 62**

Find the value of θ.

**Solution of AMBQID 62**

**Free PDF Download Math Tricky Questions**: **AMBQID 63**

Triangle ABC is an equilateral triangle and AB = BD. Find the value of θ.

**Solution of AMBQID 63**

**Free PDF Download Math Tricky Questions**: **AMBQID 64**

Triangle ABC is a right isosceles triangle and BD = BC. Find the value of θ.

**Solution of AMBQID 64**

**Free PDF Download Math Tricky Questions**: **AMBQID 65**

Two quarter circles are inside a square. Find Red Shaded Area / Square Area.

**Solution of AMBQID 65**

**Free PDF Download Math Tricky Questions**: **AMBQID 66**

The line l passes through the centroid of triangle ABC. Find x.

**Solution of AMBQID 66**

**Free PDF Download Math Tricky Questions**: **AMBQID 67**

Two squarea are inside semi-circle. Find the radius of the semicircle.

**Solution of AMBQID 67**

**Free PDF Download Math Tricky Questions**: **AMBQID 68**

Don’t use calculator. Find the value of the expression.

**Solution of AMBQID 68**

**Free PDF Download Math Tricky Questions**: **AMBQID 69**

Three quarter circles are inside the square. Find R + r.

**Solution of AMBQID 69**

**Free PDF Download Math Tricky Questions**: **AMBQID 70**

One circle and two semi circle are inside the square. Find the green shaded region.

**Solution of AMBQID 70**

**Free PDF Download Math Tricky Questions**: **AMBQID 71**

Semi circle is in quarter circle. Find semi-circle area/ quarter circle area.

**Solution of AMBQID 71**

**Free PDF Download Math Tricky Questions**: **AMBQID 72**

If (x – a)(x + b)(x – 2) is divided by (x2 – 9), then the remainder is (2x + 4). Then, find (b – a).

**Solution of AMBQID 72**

**Free PDF Download Math Tricky Questions**: **AMBQID 73**

The sum of the real roots of the equation (x^{2} – 8x)(x^{2} – 8x + 1)(x^{2} – 8x + 2)(x^{2} – 8x + 3)…(x^{2} – 8x + 100) = 0 is.

**Solution of AMBQID 73**

**Free PDF Download Math Tricky Questions**: **AMBQID 74**

If x = log_{5}1000 and y = log_{7}2058, then

**Solution of AMBQID 74**

**Free PDF Download Math Tricky Questions**: **AMBQID 75**

If x^{2} – ax + b = 0 has integers roots such that a + b = 4, then find (a – b).

**Solution of AMBQID 75**

**Free PDF Download Math Tricky Questions**: **AMBQID 76**

The hundreds digit of 20! – 15! is

**Solution of AMBQID 76**

**Free PDF Download Math Tricky Questions**: **AMBQID 77**

If k = 2019^{2} + 2^{2019}, then find the unit digit of k^{2} + 2^{k}.

**Solution of AMBQID 77**

**Free PDF Download Math Tricky Questions**: **AMBQID 78**

Find the value of x^{2}.

**Solution of AMBQID 78**

**Free PDF Download Math Tricky Questions**: **AMBQID 79**

If x is the real number, then the minimum value of (x + 5)(x + 6)(x + 7)(x + 8) + 2020 is

**Solution of AMBQID 79**

**Free PDF Download Math Tricky Questions**: **AMBQID 80**

Find the value of sec(A + B).

**Solution of AMBQID 80**

**Free PDF Download Math Tricky Questions**: **AMBQID 81**

If axbxc = 1, then the value of (a + 1)/(ab + a + 1) + (b + 1)/(bc + b + 1) + (c + 1)/(ca + c + 1) is

**Solution of AMBQID 81**

**Free PDF Download Math Tricky Questions**: **AMBQID 82**

If p(x) = 2x^{5} – 43x^{4} + 98x^{3} – 61x^{2} + 80x – 90 is divided by (x – 19), then find the remainder.

**Solution of AMBQID 82**

**Free PDF Download Math Tricky Questions**: **AMBQID 83**

Find the area of the quadrilateral ABCD.

**Solution of AMBQID 83**

**Free PDF Download Math Tricky Questions**: **AMBQID 84**

Find the value of x?

**Solution of AMBQID 84**

**Free PDF Download Math Tricky Questions**: **AMBQID 85**

Find the value of |x – y|.

**Solution of AMBQID 85**

**Free PDF Download Math Tricky Questions**: **AMBQID 86**

If tan37 = 3/4, then find the value of tanθ.

**Solution of AMBQID 86**

**Free PDF Download Math Tricky Questions**: **AMBQID 87**

A polynomial of least degree with rational coefficients, whose one root is sin10^{o} is

**Solution of AMBQID 87**

**Free PDF Download Math Tricky Questions**: **AMBQID 88**

If CN = AN = 2BN, then find CM/AM.

**Solution of AMBQID 88**

**Free PDF Download Math Tricky Questions**: **AMBQID 89**

Find the area of the square.

**Solution of AMBQID 89**

**Free PDF Download Math Tricky Questions**: **AMBQID 90**

Find the value of (x + y + z)?

**Solution of AMBQID 90**

**Free PDF Download Math Tricky Questions**: **AMBQID 91**

All quadrilaterals are square given with their areas. Find the area of the circle.

**Solution of AMBQID 91**

**Free PDF Download Math Tricky Questions**: **AMBQID 92**

If a, b, c are the zeroes of the polynomials p(x) = x3 + 4, then find the value of expression.

**Solution of AMBQID 92**

**Free PDF Download Math Tricky Questions**: **AMBQID 93**

If the polynomial p(x) = (x^{5} – 6x + 7)^{2019} – (x^{5} – 6x + 9)^{2020} + 5x^{5} – 30x + 50 is divided by (x^{5} – 6x + 8), then find the remainder.

**Solution of AMBQID 93**

**Free PDF Download Math Tricky Questions**: **AMBQID 94**

Two equal rectangles and one triangle have same area 12. Find the value of AB.

**Solution of AMBQID 94**

**Free PDF Download Math Tricky Questions**: **AMBQID 95**

If x^{2} + x = 1, then find the value of (x^{5} + 8)/(x + 1).

**Solution of AMBQID 95**

**Free PDF Download Math Tricky Questions**: **AMBQID 96**

Both are semi circle. Find x.

**Solution of AMBQID 96**

**Free PDF Download Math Tricky Questions**: **AMBQID 97**

Find the value of (2sin^{2}θ – 1).

**Solution of AMBQID 97**

**Free PDF Download Math Tricky Questions**: **AMBQID 98**

Find the orthocenter of the triangle OBC.

**Solution of AMBQID 98**

**Free PDF Download Math Tricky Questions**: **AMBQID 99**

In a polygon with 18 sides, three of its vertices adjacent to each other do not send any diagonals. Then, the number of the diagonals in the polygon is

**Solution of AMBQID 99**

**Free PDF Download Math Tricky Questions**: **AMBQID 100**

Find sin^{2}θ.

**Solution of AMBQID 100**

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The next questions solutions series of **AMBQID 101 to 200** is started on **facebook page as Amans Maths Blogs AMB**. Kindly check it on facebook and LIKE my facebook page to get the questions and solutions of **AMBQID 101 to 200**.