24740 + Interview Questions in Mathematics Page 21 InterviewSolution

1001.	If a=1,b=2 then find the value of (ab+ba)−1.
Answer» If $a = 1, b = 2$ then find the value of $(a^{b} + b^{a})^{- 1}$ .

Discussion

1002.	In a cyclic quadrilateral ABCD, if m ∠A = 3 (m ∠C). Find m ∠A.
Answer» In a cyclic quadrilateral ABCD, if m ∠A = 3 (m ∠C). Find m ∠A.

Discussion

1003.	min valueof a quadratic equation how to find
Answer» min valueof a quadratic equation how to find

Discussion

1004.	Find the fraction form of the decimal 0.12121212....... .
Answer» Find the fraction form of the decimal 0.12121212....... .

Discussion

1005.	Find the total surface area of a cube having each of its side equal to 3.5 cm.
Answer» Find the total surface area of a cube having each of its side equal to 3.5 cm.

Discussion

1006.	A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is ₹ 12 per m2, what will be the cost of painting all these cones? (Use π=3.14 and take √1.04=1.02)
Answer» A bus stop is barricaded from the remaining part of the road, by using $50$ hollow cones made of recycled cardboard. Each cone has a base diameter of $40 c m$ and height $1 m$ . If the outer side of each of the cones is to be painted and the cost of painting is $₹ 12 p e r m^{2}$ , what will be the cost of painting all these cones? $(U s e π = 3.14$ and take $\sqrt{1.04} = 1.02)$

Discussion

1007.	A line segment when extended indefinitely in one direction is called .................
Answer» A line segment when extended indefinitely in one direction is called .................

Discussion

1008.	The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it? [Assume π=227]
Answer» The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it? $[A s s u m e π = \frac{22}{7}]$

Discussion

1009.	If 0.1¯¯¯¯¯¯34=pq, where p and q are integers and q≠0, then pq= ___
Answer» If $0.1 ¯ ¯¯¯¯ ¯ 34 = \frac{p}{q}$ , where $p$ and $q$ are integers and $q \neq 0$ , then $\frac{p}{q} =$ ___

Discussion

1010.	The angles of a quadrilateral are in the ratio 3:5:9:13 . The measure of angles of quadrilateral are:
Answer» The angles of a quadrilateral are in the ratio 3:5:9:13 . The measure of angles of quadrilateral are:

Discussion

1011.	Plot a line graph for the variables x and y , where y = 2x + 1.Using the graph, find the value of (i) y, when x = 5 and (ii) x, when y = 13.
Answer» Plot a line graph for the variables x and y , where y = 2x + 1. Using the graph, find the value of (i) y, when x = 5 and (ii) x, when y = 13.

Discussion

1012.	Which of the following has a non terminating decimal expansion?
Answer» Which of the following has a non terminating decimal expansion?

Discussion

1013.	14 sin 30∘+6 cos 60∘−5 tan 45∘= _____
Answer» $14 s i n 30^{\circ} + 6 c o s 60^{\circ} - 5 t a n 45^{\circ} =$ _____

Discussion

1014.	If the mode of a data is 18 and the mean is 24, then median(approximately) is
Answer» If the mode of a data is $18$ and the mean is $24$ , then median(approximately) is

Discussion

1015.	A field is in the shape of a trapezium whose parallel sides are 25m and 10m. If its non-parallel sides are 14m and 13m. Its area = ___ cm2.
Answer» A field is in the shape of a trapezium whose parallel sides are $25m and 10m$ . If its non-parallel sides are $14m and 13m$ . Its area = ___ $c m^{2}$ .

1015.

A field is in the shape of a trapezium whose parallel sides are 25m and 10m. If its non-parallel sides are 14m and 13m. Its area = ___ cm2.

Answer»

A field is in the shape of a trapezium whose parallel sides are $25m and 10m$ . If its non-parallel sides are $14m and 13m$ . Its area = ___ $c m^{2}$ .

Discussion

1016.	1029 − 3x3
Answer» 1029 − 3x³

Discussion

1017.	30.If angle B and angle Q are acute angles such that sin B = sin Q, then prove that angle B = angle Q
Answer» 30.If angle B and angle Q are acute angles such that sin B = sin Q, then prove that angle B = angle Q

Discussion

1018.	An ant starts from the origin on a Cartesian plane and moves 5 units east and then 3 units north. Find the coordinates of the location of ant.
Answer» An ant starts from the origin on a Cartesian plane and moves 5 units east and then 3 units north. Find the coordinates of the location of ant.

Discussion

1019.	Question 3ABCD is a rectangle and P, Q, R, S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.
Answer» Question 3 ABCD is a rectangle and P, Q, R, S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

Discussion

1020.	On 30th June, 2019, bank column of the Cash Book showed balance of ₹ 12,000 but the Pass Book showed a different balance due to the following reasons:(i) Cheques paid into the bank ₹ 8,000 but out of these only cheques of ₹ 6,500 credited by bankers.(ii) The receipts column of the Cash Book undercast by ₹ 200.(iii) On 29th June, a customer deposited ₹ 3,000 directly in the Bank Account but it was entered in the Pass Book only.(iv) Cheques of ₹ 9,200 were issued of which ₹ 2,200 were presented for payment on 15th July.(v) Pass Book shows a credit of ₹ 330 as interest and a debit of ₹ 60 as bank charges.Prepare Bank Reconciliation Statement as on 30th June, 2019.
Answer» On 30th June, 2019, bank column of the Cash Book showed balance of ₹ 12,000 but the Pass Book showed a different balance due to the following reasons: (i) Cheques paid into the bank ₹ 8,000 but out of these only cheques of ₹ 6,500 credited by bankers. (ii) The receipts column of the Cash Book undercast by ₹ 200. (iii) On 29th June, a customer deposited ₹ 3,000 directly in the Bank Account but it was entered in the Pass Book only. (iv) Cheques of ₹ 9,200 were issued of which ₹ 2,200 were presented for payment on 15th July. (v) Pass Book shows a credit of ₹ 330 as interest and a debit of ₹ 60 as bank charges. Prepare Bank Reconciliation Statement as on 30th June, 2019.

Discussion

1021.	x6 + y6
Answer» x⁶ + y⁶

Discussion

1022.	23.A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle3030with the positive direction of the x-axis, then the sum of the x-coordinates of the vertices of the square is
Answer» 23.A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle3030with the positive direction of the x-axis, then the sum of the x-coordinates of the vertices of the square is

Discussion

1023.	Find the median of the observations, 59, 75, 68, 70, 74, 75, 80.
Answer» Find the median of the observations, 59, 75, 68, 70, 74, 75, 80.

Discussion

1024.	Find the degree 1) x4/4 -x3+2√2x+3 2) 1/x2(x3-x4+x8)
Answer» Find the degree 1) x⁴/4 -x³+2√2x+3 2) 1/x²(x³-x⁴+x⁸⁾

1024.

Find the degree 1) x4/4 -x3+2√2x+3 2) 1/x2(x3-x4+x8)

Answer»

Find the degree

1) x⁴/4 -x³+2√2x+3

2) 1/x²(x³-x⁴+x⁸⁾

Discussion

1025.

Calculate Total Sales from the following information: ₹ Bills Receivables as on 1st April, 2017 7,800 Debtors as on 1st April, 2017 30,800 Cash received on maturity of Bills Receivable during the year 20,900 Cash received from Debtors 70,000 Bad Debts written off 4,800 Returns Inward 8,700 Bills Receivable dishonoured 1,800 Bills Receivable on 31st March, 2018 6,000 Debtors as on 31st March, 2018 25,500 Cash Sales during the year 15,900

Answer» Calculate Total Sales from the following information:

	₹
Bills Receivables as on 1st April, 2017	7,800
Debtors as on 1st April, 2017	30,800
Cash received on maturity of Bills Receivable during the year	20,900
Cash received from Debtors	70,000
Bad Debts written off	4,800
Returns Inward	8,700
Bills Receivable dishonoured	1,800
Bills Receivable on 31st March, 2018	6,000
Debtors as on 31st March, 2018	25,500
Cash Sales during the year	15,900

Discussion

1026.	In isosceles ΔPQR, PQ = QR, M is the mid point of QR. LM ⊥ PQ, MN ⊥ PR. By which criterion of congruency is ΔQLM ≅ ΔMNR.
Answer» In isosceles ΔPQR, PQ = QR, M is the mid point of QR. LM ⊥ PQ, MN ⊥ PR. By which criterion of congruency is ΔQLM ≅ ΔMNR.

1026.

In isosceles ΔPQR, PQ = QR, M is the mid point of QR. LM ⊥ PQ, MN ⊥ PR. By which criterion of congruency is ΔQLM ≅ ΔMNR.

Answer»

In isosceles ΔPQR, PQ = QR, M is the mid point of QR. LM ⊥ PQ, MN ⊥ PR. By which criterion of congruency is ΔQLM ≅ ΔMNR.

Discussion

1027.	The volume of two spheres are in the ratio 64:27 and the sum of their radii is 7 cm.The difference in their total surface areas is(a) 38 cm2 (b) 58 cm2 (c) 78 cm2 (d) 88 cm2
Answer» $The volume of two spheres are in the ratio 64:27 and the sum of their radii is 7 cm.The difference in their total surface areas is (a) 38 c m^{2} (b) 58 c m^{2} (c) 78 c m^{2} (d) 88 c m^{2}$

Discussion

1028.	Simplify : (i) 3√2−2√33√2+2√3+√12√3−√2 (ii) 7+3√53+√5−7−3√53−√5
Answer» Simplify : (i) $\frac{3 \sqrt{2} - 2 \sqrt{3}}{3 \sqrt{2} + 2 \sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}$ (ii) $\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}}$

1028.

Simplify : (i) 3√2−2√33√2+2√3+√12√3−√2 (ii) 7+3√53+√5−7−3√53−√5

Answer»

Simplify :

(i) $\frac{3 \sqrt{2} - 2 \sqrt{3}}{3 \sqrt{2} + 2 \sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}$

(ii) $\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}}$

Discussion

1029.	One of the set squares from Andy's geometry box had two equal side lengths. The triangle which is similar to that set square with two equal sides is__ triangle.
Answer» One of the set squares from Andy's geometry box had two equal side lengths. The triangle which is similar to that set square with two equal sides is__ triangle.

Discussion

1030.	The area of quadrilateral KITE in which KI= 3 cm, IT=4 cm, TE=4 cm, KE=5 cm and ∠KIT=90∘ isUse √21=4.58
Answer» The area of quadrilateral KITE in which $K I = 3 c m, I T = 4 c m, T E = 4 c m, K E = 5 c m a n d ∠ K I T = 90^{\circ}$ is $U s e \sqrt{21} = 4.58$

Discussion

1031.	The zeroes of the quadratic polynomial 4x2- 4x-3 are6.-3 12(2) 12' 23 12' 224) 2.2Also, verify the relation between the zeroes and the coefficients.
Answer» The zeroes of the quadratic polynomial 4x2- 4x-3 are6.-3 12(2) 12' 23 12' 224) 2.2Also, verify the relation between the zeroes and the coefficients.

Discussion

1032.	If A and B are two points on a circle such that m (AB)⏜ = 260°. A possible value for the angle subtended by arc BA at a point on the circle is(a) 100°(b) 75°(c) 50°(d) 25°
Answer» If A and B are two points on a circle such that m $\overset{⏜}{(A B)}$ = 260°. A possible value for the angle subtended by arc BA at a point on the circle is (a) 100° (b) 75° (c) 50° (d) 25°

Discussion

1033.	Represent following on number line. (i)3.25 (ii) /2.94.
Answer» Represent following on number line. (i)3.25 (ii) /2.94.

Discussion

1034.	Question 2Write the coefficients of x2 in each of the following:(i) 2+x2+x(ii) 2−x2+x3(iii) π2x2+x(iv) √2x−1
Answer» Question 2 Write the coefficients of $x^{2}$ in each of the following: (i) $2 + x^{2} + x$ (ii) $2 - x^{2} + x^{3}$ (iii) $\frac{π}{2} x^{2} + x$ (iv) $\sqrt{2 x} - 1$

Discussion

1035.	A square pyramid is made using a square and four triangles with dimensions as shown below.What would be the height of the pyramid?What if the square and triangles are like these?
Answer» A square pyramid is made using a square and four triangles with dimensions as shown below. What would be the height of the pyramid? What if the square and triangles are like these?

1035.

A square pyramid is made using a square and four triangles with dimensions as shown below.What would be the height of the pyramid?What if the square and triangles are like these?

Answer»

A square pyramid is made using a square and four triangles with dimensions as shown below.

What would be the height of the pyramid?

What if the square and triangles are like these?

Discussion

1036.	Question 6PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB\|\|CD
Answer» Question 6 PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB\|\|CD

Discussion

1037.	A metallic sheet is of the rectangular shape with dimensions 48 cm* 36 cm from each one of its corners a square of 8 cm is cut off. An open box is made of the remaining sheet. find the volume of each box.
Answer» A metallic sheet is of the rectangular shape with dimensions 48 cm* 36 cm from each one of its corners a square of 8 cm is cut off. An open box is made of the remaining sheet. find the volume of each box.

Discussion

1038.	The length,breadth and height of a cuboid are 15 m, 6 m, and 5 dm respectively. The lateral surface area of the cuboid is (a) 45 cm2 (b) 21 cm2 (c) 201 cm2 (d) 90 cm2
Answer» The length,breadth and height of a cuboid are 15 m, 6 m, and 5 dm respectively. The lateral surface area of the cuboid is $(a) 45 c m^{2} (b) 21 c m^{2} (c) 201 c m^{2} (d) 90 c m^{2}$

1038.

The length,breadth and height of a cuboid are 15 m, 6 m, and 5 dm respectively. The lateral surface area of the cuboid is (a) 45 cm2 (b) 21 cm2 (c) 201 cm2 (d) 90 cm2

Answer»

The length,breadth and height of a cuboid are 15 m, 6 m, and 5 dm respectively. The lateral surface area of the cuboid is

$(a) 45 c m^{2} (b) 21 c m^{2} (c) 201 c m^{2} (d) 90 c m^{2}$

Discussion

1039.	Calculate the shortest distance from surface of earth to moon, if the diameter(d) of earth is 12,700km and the angle (θ) between diameter and line of sight is 88.97∘ as shown in the diagram. tan89∘=57.2
Answer» Calculate the shortest distance from surface of earth to moon, if the diameter(d) of earth is 12,700km and the angle $(θ)$ between diameter and line of sight is ${88.97}^{\circ}$ as shown in the diagram. $t a n 89^{\circ} = 57.2$

Discussion

1040.	ABCD is a rectangle with }σ as any point in its } interior. If area of rectangle }ABCD is }48cm^2 and } area of }△ AOB is }11cm^2 , then area of }Δ COD is
Answer» ABCD is a rectangle with }σ as any point in its } interior. If area of rectangle }ABCD is }48cm^2 and } area of }△ AOB is }11cm^2 , then area of }Δ COD is

Discussion

1041.	x=2,y=−1 is a solution of the linear equation(a) x+2y=0(b) x+2y=4(c) 2x+y=0(d) 2x+y=5
Answer» $x = 2, y = - 1$ is a solution of the linear equation (a) $x + 2 y = 0$ (b) $x + 2 y = 4$ (c) $2 x + y = 0$ (d) $2 x + y = 5$

Discussion

1042.	Choose the correct answer in each of the following : A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to make n solid cones of height 1cm and base radius 1mm. The value of n is (a) 450 (b) 1350 (c) 4500 (d) 13500
Answer» Choose the correct answer in each of the following : A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to make n solid cones of height 1cm and base radius 1mm. The value of n is (a) 450 (b) 1350 (c) 4500 (d) 13500

1042.

Choose the correct answer in each of the following : A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to make n solid cones of height 1cm and base radius 1mm. The value of n is (a) 450 (b) 1350 (c) 4500 (d) 13500

Answer»

Choose the correct answer in each of the following :

A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to make n solid cones of height 1cm and base radius 1mm. The value of n is

(a) 450 (b) 1350 (c) 4500 (d) 13500

Discussion

1043.	Question 6For which values of a and b, the zeroes of q(x)=x3+2x2+a are also the zeroes of the polynomial p(x)=x5–x4–4x3+3x2+3x+b? which zeroes of p (x) are not the zeroes of q(x)?
Answer» Question 6 For which values of a and b, the zeroes of $q (x) = x^{3} + 2 x^{2} + a$ are also the zeroes of the polynomial $p (x) = x^{5} - x^{4} - 4 x^{3} + 3 x^{2} + 3 x + b ?$ which zeroes of p (x) are not the zeroes of q(x)?

Discussion

1044.	Question 3 Can a triangle have two obtuse angles? Give reasons for your answer.
Answer» Question 3 Can a triangle have two obtuse angles? Give reasons for your answer.

Discussion

1045.	Let S={1,2,3,4,5,6,9}. Then the number of elements in the set T={A⊆S:A≠ϕ and the sum of all the elements of A is not a multiple of 3} is
Answer» Let $S = {1, 2, 3, 4, 5, 6, 9}$ . Then the number of elements in the set $T = {A \subseteq S : A \neq ϕ$ and the sum of all the elements of $A$ is not a multiple of $3}$ is

Discussion

1046.	Question 23 The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is A) (0,5) B) (5,0) C) (0,-5) D) (-5,0)
Answer» Question 23 The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is A) (0,5) B) (5,0) C) (0,-5) D) (-5,0)

Discussion

1047.	Construct any pentagon ABCDE and then construct a triangle (PCQ) of area equal to the area of ABCDE and one of whose vertices in C. Which of the following is the correct diagram for the triangle PCQ?
Answer» Construct any pentagon ABCDE and then construct a triangle (PCQ) of area equal to the area of ABCDE and one of whose vertices in C. Which of the following is the correct diagram for the triangle PCQ?

Discussion

1048.	In Fig. 94, if ∠AOC is a straight line, then the value of x is(a) 15(b) 18(c) 20(d) 16
Answer» In Fig. 94, if ∠AOC is a straight line, then the value of x is (a) 15 (b) 18 (c) 20 (d) 16

Discussion

1049.	The quadrilateral ABCD has given below. Choose the criteria required to construct a quadrilateral from the following options.
Answer» The quadrilateral ABCD has given below. Choose the criteria required to construct a quadrilateral from the following options.

1049.

The quadrilateral ABCD has given below. Choose the criteria required to construct a quadrilateral from the following options.

Answer»

The quadrilateral ABCD has given below. Choose the criteria required to construct a quadrilateral from the following options.

Discussion

1050.

Rationalize 1÷√7+√6-√13

Answer»

Rationalize

1÷√7+√6-√13

Discussion

Explore topic-wise InterviewSolutions in .

If a=1,b=2 then find the value of (ab+ba)−1.

In a cyclic quadrilateral ABCD, if m ∠A = 3 (m ∠C). Find m ∠A.

min valueof a quadratic equation how to find

Find the fraction form of the decimal 0.12121212....... .

Find the total surface area of a cube having each of its side equal to 3.5 cm.

A line segment when extended indefinitely in one direction is called .................

The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it? [Assume π=227]

If 0.1¯¯¯¯¯¯34=pq, where p and q are integers and q≠0, then pq= ___

The angles of a quadrilateral are in the ratio 3:5:9:13 . The measure of angles of quadrilateral are:

Plot a line graph for the variables x and y , where y = 2x + 1.Using the graph, find the value of (i) y, when x = 5 and (ii) x, when y = 13.

Which of the following has a non terminating decimal expansion?

14 sin 30∘+6 cos 60∘−5 tan 45∘= _____

If the mode of a data is 18 and the mean is 24, then median(approximately) is

A field is in the shape of a trapezium whose parallel sides are 25m and 10m. If its non-parallel sides are 14m and 13m. Its area = ___ cm2.

1029 − 3x3

30.If angle B and angle Q are acute angles such that sin B = sin Q, then prove that angle B = angle Q

An ant starts from the origin on a Cartesian plane and moves 5 units east and then 3 units north. Find the coordinates of the location of ant.

Question 3ABCD is a rectangle and P, Q, R, S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

x6 + y6

23.A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle3030with the positive direction of the x-axis, then the sum of the x-coordinates of the vertices of the square is

Find the median of the observations, 59, 75, 68, 70, 74, 75, 80.

Find the degree 1) x4/4 -x3+2√2x+3 2) 1/x2(x3​​​​​-x4+x8)

In isosceles ΔPQR, PQ = QR, M is the mid point of QR. LM ⊥ PQ, MN ⊥ PR. By which criterion of congruency is ΔQLM ≅ ΔMNR.

The volume of two spheres are in the ratio 64:27 and the sum of their radii is 7 cm.The difference in their total surface areas is(a) 38 cm2 (b) 58 cm2 (c) 78 cm2 (d) 88 cm2

Simplify : (i) 3√2−2√33√2+2√3+√12√3−√2 (ii) 7+3√53+√5−7−3√53−√5

One of the set squares from Andy's geometry box had two equal side lengths. The triangle which is similar to that set square with two equal sides is__ triangle.​

The area of quadrilateral KITE in which KI= 3 cm, IT=4 cm, TE=4 cm, KE=5 cm and ∠KIT=90∘ isUse √21=4.58

The zeroes of the quadratic polynomial 4x2- 4x-3 are6.-3 12(2) 12' 23 12' 224) 2.2Also, verify the relation between the zeroes and the coefficients.

If A and B are two points on a circle such that m (AB)⏜ = 260°. A possible value for the angle subtended by arc BA at a point on the circle is(a) 100°(b) 75°(c) 50°(d) 25°

Represent following on number line. (i)3.25 (ii) /2.94.

Question 2Write the coefficients of x2 in each of the following:(i) 2+x2+x(ii) 2−x2+x3(iii) π2x2+x(iv) √2x−1

A square pyramid is made using a square and four triangles with dimensions as shown below.What would be the height of the pyramid?What if the square and triangles are like these?

Question 6PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB||CD

A metallic sheet is of the rectangular shape with dimensions 48 cm* 36 cm from each one of its corners a square of 8 cm is cut off. An open box is made of the remaining sheet. find the volume of each box.

The length,breadth and height of a cuboid are 15 m, 6 m, and 5 dm respectively. The lateral surface area of the cuboid is (a) 45 cm2 (b) 21 cm2 (c) 201 cm2 (d) 90 cm2

Calculate the shortest distance from surface of earth to moon, if the diameter(d) of earth is 12,700km and the angle (θ) between diameter and line of sight is 88.97∘ as shown in the diagram. tan89∘=57.2

ABCD is a rectangle with }σ as any point in its } interior. If area of rectangle }ABCD is }48cm^2 and } area of }△ AOB is }11cm^2 , then area of }Δ COD is

x=2,y=−1 is a solution of the linear equation(a) x+2y=0(b) x+2y=4(c) 2x+y=0(d) 2x+y=5

Choose the correct answer in each of the following : A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to make n solid cones of height 1cm and base radius 1mm. The value of n is (a) 450 (b) 1350 (c) 4500 (d) 13500

Question 6For which values of a and b, the zeroes of q(x)=x3+2x2+a are also the zeroes of the polynomial p(x)=x5–x4–4x3+3x2+3x+b? which zeroes of p (x) are not the zeroes of q(x)?

Question 3 Can a triangle have two obtuse angles? Give reasons for your answer.

Let S={1,2,3,4,5,6,9}. Then the number of elements in the set T={A⊆S:A≠ϕ and the sum of all the elements of A is not a multiple of 3} is

Question 23 The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is A) (0,5) B) (5,0) C) (0,-5) D) (-5,0)

Construct any pentagon ABCDE and then construct a triangle (PCQ) of area equal to the area of ABCDE and one of whose vertices in C. Which of the following is the correct diagram for the triangle PCQ?

In Fig. 94, if ∠AOC is a straight line, then the value of x is(a) 15(b) 18(c) 20(d) 16

The quadrilateral ABCD has given below. Choose the criteria required to construct a quadrilateral from the following options.

Rationalize 1÷√7+√6-√13

Find the degree 1) x4/4 -x3+2√2x+3 2) 1/x2(x3-x4+x8)

One of the set squares from Andy's geometry box had two equal side lengths. The triangle which is similar to that set square with two equal sides is__ triangle.