24740 + Interview Questions in Mathematics Page 25 InterviewSolution

1201.	If log10 x=y ,then, log1000x2 is equal to
Answer» If $l o g_{10} x = y, t h e n, l o g_{1000} x^{2}$ is equal to

Discussion

1202.	Find the area of the rhombus having each side equal to 17 cm and one of its diagonals equal to 16 cm.
Answer» Find the area of the rhombus having each side equal to 17 cm and one of its diagonals equal to 16 cm.

Discussion

1203.	In the given figure, O is the centre of a circle in which ∠OAB=20∘ and 20∘.Find (i) ∠BOC, (ii) ∠AOC.
Answer» In the given figure, O is the centre of a circle in which $∠ O A B = 20^{\circ} a n d 20^{\circ} . Find (i) ∠ B O C, (i i) ∠ A O C .$

1203.

In the given figure, O is the centre of a circle in which ∠OAB=20∘ and 20∘.Find (i) ∠BOC, (ii) ∠AOC.

Answer»

In the given figure, O is the centre of a circle in which $∠ O A B = 20^{\circ} a n d 20^{\circ} . Find (i) ∠ B O C, (i i) ∠ A O C .$

Discussion

1204.	For two figures to be on the same base and between the same parallels ,they must have a common base and.
Answer» For two figures to be on the same base and between the same parallels ,they must have a common base and.

Discussion

1205.	A cubical tank contains 8000 litres of water in it. Find the height of the tank in metres.
Answer» A cubical tank contains 8000 litres of water in it. Find the height of the tank in metres.

Discussion

1206.	12. A polynomial leaves remainder 5 when divided by (x-3). It also leaves remainder 7 when divided by (x-4) . Find remainder when it is divided by (x-3) (x-4).
Answer» 12. A polynomial leaves remainder 5 when divided by (x-3). It also leaves remainder 7 when divided by (x-4) . Find remainder when it is divided by (x-3) (x-4).

Discussion

1207.	x/a + y/b = 2 ax - by = a sq. - b sq.
Answer» x/a + y/b = 2 ax - by = a sq. - b sq.

Discussion

1208.	In Δ ABC, if O is the centroid of ΔABC and ar(ΔOAB)=36cm2, then ar(ΔABC) is
Answer» In $Δ A B C, i f O is the centroid of Δ A B C a n d a r (Δ O A B) = 36 c m^{2}, t h e n a r (Δ A B C) i s$

Discussion

1209.	Factorize: 5√5x2+20x+3√5
Answer» Factorize: $5 \sqrt{5} x^{2} + 20 x + 3 \sqrt{5}$

1209.

Factorize: 5√5x2+20x+3√5

Answer»

Factorize:

$5 \sqrt{5} x^{2} + 20 x + 3 \sqrt{5}$

Discussion

1210.	If we join any two points on a circle by a line segment, we obtain a _________ of a circle.
Answer» If we join any two points on a circle by a line segment, we obtain a _________ of a circle.

Discussion

1211.	Find the probability of finding a head when a coin is tossed in the air.
Answer» Find the probability of finding a head when a coin is tossed in the air.

Discussion

1212.	If ax=by=cz and b2=ac,then show that y=2zxz+x.
Answer» If $a^{x} = b^{y} = c^{z} a n d b^{2} = a c, t h e n s h o w t h a t y = \frac{2 z x}{z + x} .$

Discussion

1213.	Question 2Simplify: 7√3√10+√3−2√5√6+√5−3√2√15+3√2
Answer» Question 2 Simplify: $\frac{7 \sqrt{3}}{\sqrt{10} + \sqrt{3}} - \frac{2 \sqrt{5}}{\sqrt{6} + \sqrt{5}} - \frac{3 \sqrt{2}}{\sqrt{15} + 3 \sqrt{2}}$

Discussion

1214.	H.C.F of a2b3 and a3b2d7 is a2b2. What is their H.C.F
Answer» H.C.F of $a^{2} b^{3}$ and $a^{3} b^{2} d^{7}$ is $a^{2} b^{2}$ . What is their H.C.F

Discussion

1215.	x3216-8y3
Answer» $\frac{x^{3}}{216} - 8 y^{3}$

Discussion

1216.	Find all polynomials P(x) such that {x • P(x-1) = (x-15) • P(x)
Answer» Find all polynomials P(x) such that {x • P(x-1) = (x-15) • P(x)

Discussion

1217.	The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measures of each of the four angles.
Answer» The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measures of each of the four angles.

Discussion

1218.	For a scalene triangle if the sides of a triangle is given but height is not given, how will the area of that triangle be calculated?
Answer» For a scalene triangle if the sides of a triangle is given but height is not given, how will the area of that triangle be calculated?

Discussion

1219.	Simplify : 4−2+4−1+40+42
Answer» Simplify : $4^{- 2} + 4^{- 1} + 4^{0} + 4^{2}$

Discussion

1220.	17. Find the equation of a line which passes through the point (3,-2) and cousin off positive intercepts on X and Y axes in the ratio of 4:3
Answer» 17. Find the equation of a line which passes through the point (3,-2) and cousin off positive intercepts on X and Y axes in the ratio of 4:3

Discussion

1221.	Question 24Write the correct answer from the given four options.Given that, √4096=64, the value of √4096+√40.96 isa) 74b) 60.4c) 64.4d) 70.4
Answer» Question 24 Write the correct answer from the given four options. Given that, $\sqrt{4096} = 64$ , the value of $\sqrt{4096} + \sqrt{40.96}$ is a) 74 b) 60.4 c) 64.4 d) 70.4

1221.

Question 24Write the correct answer from the given four options.Given that, √4096=64, the value of √4096+√40.96 isa) 74b) 60.4c) 64.4d) 70.4

Answer»

Question 24

Write the correct answer from the given four options.

Given that, $\sqrt{4096} = 64$ , the value of $\sqrt{4096} + \sqrt{40.96}$ is

a) 74

b) 60.4

c) 64.4

d) 70.4

Discussion

1222.	Evaluate log3216 - log12525 + log279 .
Answer» Evaluate $l o g_{16}^{32}$ - $l o g_{25}^{125}$ + $l o g_{9}^{27}$ .

Discussion

1223.	Evaluate: (4pq+3q)2−(4pq−3q)2
Answer» Evaluate: $(4 p q + 3 q)^{2} - (4 p q - 3 q)^{2}$

Discussion

1224.	Radius of base of a cylinder is 20 cm and its height is 13 cm, find its curved surface area and total surface area. ( π = 3.14)
Answer» Radius of base of a cylinder is 20 cm and its height is 13 cm, find its curved surface area and total surface area. ( $π$ = 3.14)

Discussion

1225.	What is difference between irrational numbers and real numbers
Answer» What is difference between irrational numbers and real numbers

Discussion

1226.	Find the area of the parallelogram ABCD.Given, BC = 5 cm and the corresponding altitude AP = 8 cm.
Answer» Find the area of the parallelogram ABCD. Given, BC = 5 cm and the corresponding altitude AP = 8 cm.

1226.

Find the area of the parallelogram ABCD.Given, BC = 5 cm and the corresponding altitude AP = 8 cm.

Answer»

Find the area of the parallelogram ABCD.

Given, BC = 5 cm and the corresponding altitude AP = 8 cm.

Discussion

1227.	Insert commas suitably and write the names according to Indian System of Numeration:(a). 87595762 (b). 8546283(c). 99900046 (d). 98432701
Answer» Insert commas suitably and write the names according to Indian System of Numeration: (a). 87595762 (b). 8546283 (c). 99900046 (d). 98432701

1227.

Insert commas suitably and write the names according to Indian System of Numeration:(a). 87595762 (b). 8546283(c). 99900046 (d). 98432701

Answer»

Insert commas suitably and write the names according to Indian System of Numeration:

(a). 87595762 (b). 8546283

(c). 99900046 (d). 98432701

Discussion

1228.	In a given Δ ABC, AB =20 cm, ∠A=30∘ as shown in figure. If the area of the triangle is 100cm2, then find the length of AC.
Answer» In a given $Δ$ ABC, AB =20 cm, $∠ A = 30^{\circ}$ as shown in figure. If the area of the triangle is $100 c m^{2}$ , then find the length of AC.

1228.

In a given Δ ABC, AB =20 cm, ∠A=30∘ as shown in figure. If the area of the triangle is 100cm2, then find the length of AC.

Answer»

In a given $Δ$ ABC, AB =20 cm, $∠ A = 30^{\circ}$ as shown in figure. If the area of the triangle is $100 c m^{2}$ , then find the length of AC.

Discussion

1229.	ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that CM=MA=12AB
Answer» $A B C$ is a triangle right angled at $C$ . A line through the mid-point $M$ of hypotenuse $A B$ and parallel to $B C$ intersects AC at D. Show that $C M = M A = \frac{1}{2} A B$

Discussion

1230.	1- How to prove the irrational number ? 2- Find three irrational and rational number between 5/7 and 9/11 ?
Answer» 1- How to prove the irrational number ? 2- Find three irrational and rational number between 5/7 and 9/11 ?

Discussion

1231.	In the given figure, if EC \|\| AB, ∠ECD = 70° and ∠BDO = 20°, then ∠OBD is(a) 20°(b) 50°(c) 60°(d) 70°
Answer» In the given figure, if EC \|\| AB, ∠ECD = 70° and ∠BDO = 20°, then ∠OBD is (a) 20° (b) 50° (c) 60° (d) 70°

Discussion

1232.	The bar graph given below shows the sales of newspapers (in million number) from six branches of a publishing company during two consecutive years 2013 and 2014. i) What is the average sales of all the branches (in million numbers) for the year 2014? ii) What is the total sales of NP1, NP3 and NP5 for both years?
Answer» The bar graph given below shows the sales of newspapers (in million number) from six branches of a publishing company during two consecutive years 2013 and 2014. i) What is the average sales of all the branches (in million numbers) for the year 2014? ii) What is the total sales of NP1, NP3 and NP5 for both years?

1232.

The bar graph given below shows the sales of newspapers (in million number) from six branches of a publishing company during two consecutive years 2013 and 2014. i) What is the average sales of all the branches (in million numbers) for the year 2014? ii) What is the total sales of NP1, NP3 and NP5 for both years?

Answer»

The bar graph given below shows the sales of newspapers (in million number) from six branches of a publishing company during two consecutive years 2013 and 2014.

i) What is the average sales of all the branches (in million numbers) for the year 2014?

ii) What is the total sales of NP1, NP3 and NP5 for both years?

Discussion

1233.	The factors of x2 + 4y2 + 4y − 4xy − 2x − 8 are(a) (x − 2y −4) (x − 2y + 2)(b) (x − y + 2) (x − 4y − 4)(c) (x + 2y − 4) (x + 2y + 2)(d) none of these
Answer» The factors of x² + 4y² + 4y − 4xy − 2x − 8 are (a) (x − 2y −4) (x − 2y + 2) (b) (x − y + 2) (x − 4y − 4) (c) (x + 2y − 4) (x + 2y + 2) (d) none of these

Discussion

1234.	Find the area of the 1.5 m wide pathways (green) if length is twice of breadth which is equal to 6 m (in square cm).
Answer» Find the area of the 1.5 m wide pathways (green) if length is twice of breadth which is equal to 6 m (in square cm).

1234.

Find the area of the 1.5 m wide pathways (green) if length is twice of breadth which is equal to 6 m (in square cm).

Answer»

Find the area of the 1.5 m wide pathways (green) if length is twice of breadth which is equal to 6 m (in square cm).

Discussion

1235.	Factorise:x2-35x-20
Answer» Factorise: $x^{2} - 3 \sqrt{5} x - 20$

Discussion

1236.	Which of the following is equivalent to 68 ?
Answer» $Which of the following is equivalent to \frac{6}{8} ?$

Discussion

1237.	(√a − √b)×(√a + √b) =
Answer» $(\sqrt{a} - \sqrt{b}) \times (\sqrt{a} + \sqrt{b}) =$

Discussion

1238.	Question 1AD is a diameter of a circle and AB is a chord. If AD = 34cm, AB = 30cm, the distance of AB from the centre of the circle is(A) 17 cm(B) 15 cm(C) 4 cm(D) 8 cm
Answer» Question 1 AD is a diameter of a circle and AB is a chord. If AD = 34cm, AB = 30cm, the distance of AB from the centre of the circle is (A) 17 cm (B) 15 cm (C) 4 cm (D) 8 cm

Discussion

1239.	A circle having diameter 12 cm is cut by a chord of 6 cm, Find the area of smaller arc?undefinedundefinedundefinedundefined
Answer» A circle having diameter 12 cm is cut by a chord of 6 cm, Find the area of smaller arc? undefined undefined undefined undefined

Discussion

1240.	The diagonals of a rhombus are 18 cm and 10 cm. Find its area.
Answer» The diagonals of a rhombus are 18 cm and 10 cm. Find its area.

Discussion

1241.	Is √361 rational or irrational ? Why?
Answer» Is √361 rational or irrational ? Why?

1241.

Is √361 rational or irrational ? Why?

Answer»

Is √361 rational or irrational ?

Why?

Discussion

1242.	If the value of 2sin 2θ=√3, then the value of θ is ______.
Answer» If the value of $2 s i n 2 θ = \sqrt{3}$ , then the value of $θ$ is ______.

Discussion

1243.	16. If two chord of the circle x+y - ax - by=0 drawn from the point (a,b) is divided by the x axis in the ratio 2 is to 1 then proved that a>3b
Answer» 16. If two chord of the circle x+y - ax - by=0 drawn from the point (a,b) is divided by the x axis in the ratio 2 is to 1 then proved that a>3b

Discussion

1244.	Assertion : If the median of the given data 26, 29, 42, 53, x, x + 2, 70, 75, 82, 93, is 65 then the value of x is 64. Reason : When the number of observations(n) is odd the median is the value of the (n+12)th observation. Which of the following is correct.
Answer» Assertion : If the median of the given data 26, 29, 42, 53, x, x + 2, 70, 75, 82, 93, is 65 then the value of x is 64. Reason : When the number of observations(n) is odd the median is the value of the ${(\frac{n + 1}{2})}^{t h}$ observation. Which of the following is correct.

Discussion

1245.	If a point C lies between two points A and B such that AC = BC, then prove that. Explain by drawing the figure.
Answer» If a point C lies between two points A and B such that AC = BC, then prove that. Explain by drawing the figure.

Discussion

1246.	Is it correct to say that there is a number 'x' such that x2 is irrational by x4 is rational .
Answer» Is it correct to say that there is a number 'x' such that x2 is irrational by x4 is rational .

Discussion

1247.	If cosec θ=1312, find the value of 2 sin θ-3 cos θ4 sin θ-9 cos θ.
Answer» If $cosec θ = \frac{13}{12}$ , find the value of $\frac{2 \sin θ - 3 \cos θ}{4 \sin θ - 9 \cos θ}$ .

Discussion

1248.	The inner diameter of a well is 2.5 m and it is 8 m deep. What would be the cost of cementing its inner wall at a rate of Rs. 350 per m2 ?
Answer» The inner diameter of a well is 2.5 m and it is 8 m deep. What would be the cost of cementing its inner wall at a rate of Rs. 350 per $m^{2}$ ?

Discussion

1249.	Length of the interval (−3,7] is
Answer» Length of the interval $(- 3, 7]$ is

Discussion

1250.	Factorize:x2+55x + 30
Answer» Factorize: $x^{2} + 5 \sqrt{5} x + 30$

Discussion

Explore topic-wise InterviewSolutions in .

If log10 x=y ,then, log1000x2 is equal to

Find the area of the rhombus having each side equal to 17 cm and one of its diagonals equal to 16 cm.

In the given figure, O is the centre of a circle in which ∠OAB=20∘ and 20∘.Find (i) ∠BOC, (ii) ∠AOC.

For two figures to be on the same base and between the same parallels ,they must have a common base and.

A cubical tank contains 8000 litres of water in it. Find the height of the tank in metres.

12. A polynomial leaves remainder 5 when divided by (x-3). It also leaves remainder 7 when divided by (x-4) . Find remainder when it is divided by (x-3) (x-4).

x/a + y/b = 2 ax - by = a sq. - b sq.

In Δ ABC, if O is the centroid of ΔABC and ar(ΔOAB)=36cm2, then ar(ΔABC) is

Factorize: 5√5x2+20x+3√5

If we join any two points on a circle by a line segment, we obtain a _________ of a circle.

Find the probability of finding a head when a coin is tossed in the air.

If ax=by=cz and b2=ac,then show that y=2zxz+x.

Question 2Simplify: 7√3√10+√3−2√5√6+√5−3√2√15+3√2

H.C.F of a2b3 and a3b2d7 is a2b2. What is their H.C.F

x3216-8y3

Find all polynomials P(x) such that {x • P(x-1) = (x-15) • P(x)

The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measures of each of the four angles.

For a scalene triangle if the sides of a triangle is given but height is not given, how will the area of that triangle be calculated?

Simplify : 4−2+4−1+40+42

17. Find the equation of a line which passes through the point (3,-2) and cousin off positive intercepts on X and Y axes in the ratio of 4:3

Question 24Write the correct answer from the given four options.Given that, √4096=64, the value of √4096+√40.96 isa) 74b) 60.4c) 64.4d) 70.4

Evaluate log3216 - log12525 + log279 .

Evaluate: (4pq+3q)2−(4pq−3q)2

Radius of base of a cylinder is 20 cm and its height is 13 cm, find its curved surface area and total surface area. ( π = 3.14)

What is difference between irrational numbers and real numbers

Find the area of the parallelogram ABCD.Given, BC = 5 cm and the corresponding altitude AP = 8 cm.

Insert commas suitably and write the names according to Indian System of Numeration:(a). 87595762 (b). 8546283(c). 99900046 (d). 98432701

In a given Δ ABC, AB =20 cm, ∠A=30∘ as shown in figure. If the area of the triangle is 100cm2, then find the length of AC.

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that CM=MA=12AB

1- How to prove the irrational number ? 2- Find three irrational and rational number between 5/7 and 9/11 ?

In the given figure, if EC || AB, ∠ECD = 70° and ∠BDO = 20°, then ∠OBD is(a) 20°(b) 50°(c) 60°(d) 70°

The factors of x2 + 4y2 + 4y − 4xy − 2x − 8 are(a) (x − 2y −4) (x − 2y + 2)(b) (x − y + 2) (x − 4y − 4)(c) (x + 2y − 4) (x + 2y + 2)(d) none of these

Find the area of the 1.5 m wide pathways (green) if length is twice of breadth which is equal to 6 m (in square cm).

Factorise:x2-35x-20

Which of the following is equivalent to 68 ?

(√a − √b)×(√a + √b) =

Question 1AD is a diameter of a circle and AB is a chord. If AD = 34cm, AB = 30cm, the distance of AB from the centre of the circle is(A) 17 cm(B) 15 cm(C) 4 cm(D) 8 cm

A circle having diameter 12 cm is cut by a chord of 6 cm, Find the area of smaller arc?undefinedundefinedundefinedundefined

The diagonals of a rhombus are 18 cm and 10 cm. Find its area.

Is √361 rational or irrational ? Why?

If the value of 2sin 2θ=√3, then the value of θ is ______.

16. If two chord of the circle x+y - ax - by=0 drawn from the point (a,b) is divided by the x axis in the ratio 2 is to 1 then proved that a>3b

Assertion : If the median of the given data 26, 29, 42, 53, x, x + 2, 70, 75, 82, 93, is 65 then the value of x is 64. Reason : When the number of observations(n) is odd the median is the value of the (n+12)th observation. Which of the following is correct.

If a point C lies between two points A and B such that AC = BC, then prove that. Explain by drawing the figure.

Is it correct to say that there is a number 'x' such that x2 is irrational by x4 is rational .

If cosec θ=1312, find the value of 2 sin θ-3 cos θ4 sin θ-9 cos θ.

The inner diameter of a well is 2.5 m and it is 8 m deep. What would be the cost of cementing its inner wall at a rate of Rs. 350 per m2 ?

Length of the interval (−3,7] is

Factorize:x2+55x + 30