32581 + Interview Questions in Mathematics

1.	In the equation ax+by+c=0, if y= (cx+d)b then x =
Answer» In the equation ax+by+c=0, if y= $\frac{(c x + d)}{b}$ then x =

Discussion

2.	The sum of the digits of a two digit number is 5. If the digits are reversed, the number is reduced by 27. Find the number.
Answer» The sum of the digits of a two digit number is 5. If the digits are reversed, the number is reduced by 27. Find the number.

Discussion

3.	Suppose you walk from home to the bus stand at 4 km/h and immediately return at x km/h. If the average speed is 6 km/h then x is
Answer» Suppose you walk from home to the bus stand at 4 km/h and immediately return at x km/h. If the average speed is 6 km/h then x is

Discussion

4.	If a line segment AB is divided in the ratio m : n, both m and n are ___ integers.
Answer» If a line segment AB is divided in the ratio m : n, both m and n are ___ integers.

Discussion

5.	Find the number of solutions for the following pair of equations: 4x+5y=9 and 8x+10y=18
Answer» Find the number of solutions for the following pair of equations: $4 x + 5 y = 9$ and $8 x + 10 y = 18$

Discussion

6.	Which of the following are AP's? If they form an AP, find the common difference d and write three more terms. (i) −1.2,−3.2,−5.2,−7.2... (ii)0,-4,−8,−12… (iii)−12,−12,−12,−12… (iv)√2,√8, √18,√32… (v)12,32,52,72…
Answer» Which of the following are AP's? If they form an AP, find the common difference d and write three more terms. (i) −1.2,−3.2,−5.2,−7.2... (ii)0,-4,−8,−12… (iii)− $\frac{1}{2}$ ,− $\frac{1}{2}$ ,− $\frac{1}{2}$ ,− $\frac{1}{2}$ … (iv) $\sqrt{2}$ , $\sqrt{8}$ , $\sqrt{18}$ , $\sqrt{32}$ … (v)12,32,52,72…

Discussion

7.	Which is better investment A which is 12% of Rs 100 share at 190 or B which is 10% Rs 120 share at Rs 90.
Answer» Which is better investment A which is 12% of Rs 100 share at 190 or B which is 10% Rs 120 share at Rs 90.

Discussion

8.	Define upper triangular matrix and lower triangular matrix.
Answer» Define upper triangular matrix and lower triangular matrix.

Discussion

9.	An AP has the first term as 2 and the common difference as 4. Which term in the AP is the first multiple of 23 to appear?
Answer» An AP has the first term as 2 and the common difference as 4. Which term in the AP is the first multiple of 23 to appear?

Discussion

10.	If 2x+y=23 and 4x−y=19; find the values of x−3y and 5y−2x.
Answer» If $2 x + y = 23$ and $4 x - y = 19$ ; find the values of $x - 3 y$ and $5 y - 2 x .$

Discussion

11.	Three friends A, B and C started a business by investing a total sum of Rs. 22,000. At the end of the year. A, B and C receives Rs. 900, Rs. 900 and Rs. 400 respectively as their profit share. What is the amount of capital invested by A, B and C?
Answer» Three friends A, B and C started a business by investing a total sum of Rs. 22,000. At the end of the year. A, B and C receives Rs. 900, Rs. 900 and Rs. 400 respectively as their profit share. What is the amount of capital invested by A, B and C?

Discussion

12.	(a) If the areas of two similar triangles are equal, prove that they are congruent. (b) The scale of the map is 1 : 200000. A plot of land with area 20 km2 is to be represented on the map. Find: (i) The number of kilometres on the ground which is represented by 1 cm on the map. (ii) The area in sq. km that can be represented by 1cm2 (iii) The area of the map that represents the plot of land. [6 MARKS]
Answer» (a) If the areas of two similar triangles are equal, prove that they are congruent. (b) The scale of the map is 1 : 200000. A plot of land with area 20 $k m^{2}$ is to be represented on the map. Find: (i) The number of kilometres on the ground which is represented by 1 cm on the map. (ii) The area in sq. km that can be represented by $1 c m^{2}$ (iii) The area of the map that represents the plot of land. [6 MARKS]

Discussion

13.	A certain sum of money amounts to Rs 6600 after 1 year on CI and amounts to Rs 7986 after 3 years on CI. Find i) sum of money.
Answer» A certain sum of money amounts to Rs 6600 after 1 year on CI and amounts to Rs 7986 after 3 years on CI. Find i) sum of money.

Discussion

14.	A boy with a collection of marble realise that if he makes a group of 5 or 6 marbles at a time there are always 2 marbles left. Can you explain why the boy cannot have a prime number of marbles.
Answer» A boy with a collection of marble realise that if he makes a group of 5 or 6 marbles at a time there are always 2 marbles left. Can you explain why the boy cannot have a prime number of marbles.

Discussion

15.	Out of these, which cannot be maximum capacity of a shell?
Answer» Out of these, which cannot be maximum capacity of a shell?

Discussion

16.	The area of a sector with radius 14 cm is 154 cm2. The central angle of the sector (in degrees) is
Answer» The area of a sector with radius 14 cm is 154 $c m^{2}$ . The central angle of the sector (in degrees) is

Discussion

17.	There is a stream which flows for 15 km. I have a boat with speed 14 km/hr and a stream with speed x km/hr. Write an expression for the time it takes to travel upstream and downstream respectively.
Answer» There is a stream which flows for 15 km. I have a boat with speed 14 km/hr and a stream with speed x km/hr. Write an expression for the time it takes to travel upstream and downstream respectively.

Discussion

18.	The length of the tangent to the circle from an exterior point P is 5cm. What is the length of another tangent drawn to the same circle from the exterior point P?
Answer» The length of the tangent to the circle from an exterior point P is 5cm. What is the length of another tangent drawn to the same circle from the exterior point P?

Discussion

19.	By increasing the speed of a car by 10km/hr, the time of journey for a distance of 72km is reduced by 36mins. Find the original speed.
Answer» By increasing the speed of a car by 10km/hr, the time of journey for a distance of 72km is reduced by 36mins. Find the original speed.

Discussion

20.	A manufacturer has 640 litres of a 8% solution of boric acid. How many litres of a 2% boric add solution be added to it so that the boric acid content in the resulting mixture will be more than 4% but less than 6%?
Answer» A manufacturer has 640 litres of a 8% solution of boric acid. How many litres of a 2% boric add solution be added to it so that the boric acid content in the resulting mixture will be more than 4% but less than 6%?

Discussion

21.	The following table shows the marks obtained by 5 students in a classroom, find the average marks of the classroom. MarksFrequency981651882541
Answer» The following table shows the marks obtained by 5 students in a classroom, find the average marks of the classroom. $\begin{matrix} M a r k s & F r e q u e n c y 98 & 1 65 & 1 88 & 2 54 & 1 \end{matrix}$

21.

The following table shows the marks obtained by 5 students in a classroom, find the average marks of the classroom. MarksFrequency981651882541

Answer»

The following table shows the marks obtained by 5 students in a classroom, find the average marks of the classroom.

$\begin{matrix} M a r k s & F r e q u e n c y 98 & 1 65 & 1 88 & 2 54 & 1 \end{matrix}$

Discussion

22.	cotA+cosecA−1cotA−cosecA+1=1+cosAsinA
Answer» $\frac{c o t A + c o s e c A - 1}{c o t A - c o s e c A + 1} = \frac{1 + c o s A}{s i n A}$

Discussion

23.	In the Maths test two students, committed the following mistakes while solving a quadratic equation : (i) One of them made a mistake in the constant term and got the roots as 2 and 4. (ii) Another one committed an error in the coefficient of x and got the roots as 3 and 5. But, they realised that they are wrong and they managed to get it right jointly. Find the correct quadratic equation.
Answer» In the Maths test two students, committed the following mistakes while solving a quadratic equation : (i) One of them made a mistake in the constant term and got the roots as 2 and 4. (ii) Another one committed an error in the coefficient of x and got the roots as 3 and 5. But, they realised that they are wrong and they managed to get it right jointly. Find the correct quadratic equation.

Discussion

24.	The fifth term of an AP is 25 and the ninth term is 37. The common difference of the AP will be ___.
Answer» The fifth term of an AP is 25 and the ninth term is 37. The common difference of the AP will be ___.

Discussion

25.	The circumference a circle is 44 cm. Then its area is ______ cm2 [Use π=227]
Answer» The circumference a circle is 44 cm. Then its area is ______ $c m^{2}$ [Use $π = \frac{22}{7}$ ]

Discussion

26.	The central angle of 2 sectors of a circle is in the ratio of 4:5 and are used to make 2 cones. What is the ratio of their curved surface area?
Answer» The central angle of 2 sectors of a circle is in the ratio of 4:5 and are used to make 2 cones. What is the ratio of their curved surface area?

Discussion

27.	Which of the given is the set of zeroes of the polynomial p(x) = 2x3 + x2 – 5x + 2
Answer» Which of the given is the set of zeroes of the polynomial p(x) = 2x³ + x² – 5x + 2

Discussion

28.	If the lines 2x−by+2=0 and 4x+2y+a=0 are parallel, then the value of b is
Answer» If the lines $2 x - b y + 2 = 0$ and $4 x + 2 y + a = 0$ are parallel, then the value of $b$ is

Discussion

29.	A probability of selecting a red ball at random from a jar that contains only red,blue and orange is 14.The probability of selecting a blue ball at random from the same jar is 13.If the jar contains 10 orange balls,find the total number of balls in the jar.
Answer» A probability of selecting a red ball at random from a jar that contains only red,blue and orange is $\frac{1}{4}$ .The probability of selecting a blue ball at random from the same jar is $\frac{1}{3}$ .If the jar contains 10 orange balls,find the total number of balls in the jar.

Discussion

30.	You want to research on the popularity of vegetable atta noodles among children. Design a suitable questionnaire for collecting this information.
Answer» You want to research on the popularity of vegetable atta noodles among children. Design a suitable questionnaire for collecting this information.

Discussion

31.	In the given figure, side BC of ΔABC is bisected at D and O is any point on AD, BO and CO produced meet AC and AB at E and F respectively, and AD is produced to X so that D is the midpoint of OX. Prove that AO : AX = AF : AB and show that EF \|\| BC.
Answer» In the given figure, side BC of $Δ A B C$ is bisected at D and O is any point on AD, BO and CO produced meet AC and AB at E and F respectively, and AD is produced to X so that D is the midpoint of OX. Prove that AO : AX = AF : AB and show that EF \|\| BC.

31.

In the given figure, side BC of ΔABC is bisected at D and O is any point on AD, BO and CO produced meet AC and AB at E and F respectively, and AD is produced to X so that D is the midpoint of OX. Prove that AO : AX = AF : AB and show that EF || BC.

Answer»

In the given figure, side BC of $Δ A B C$ is bisected at D and O is any point on AD, BO and CO produced meet AC and AB at E and F respectively, and AD is produced to X so that D is the midpoint of OX. Prove that AO : AX = AF : AB and show that EF || BC.

Discussion

32.	Prove that the area of an equilateral triangle described on one side of the square is equal to half the area of the equilateral triangle described on one of its diagonal. OR if the area of two similar triangles are equal, prove that they are congruent.
Answer» Prove that the area of an equilateral triangle described on one side of the square is equal to half the area of the equilateral triangle described on one of its diagonal. OR if the area of two similar triangles are equal, prove that they are congruent.

Discussion

33.	If 2x=sec θ and 2x=tan θ then 2(x2−1x2) = ? (a) 12 (b) 14 (c) 18 (d) 116
Answer» If $2 x = s e c θ$ and $\frac{2}{x} = t a n θ$ then $2 (x^{2} - \frac{1}{x^{2}})$ = ? (a) $\frac{1}{2}$ (b) $\frac{1}{4}$ (c) $\frac{1}{8}$ (d) $\frac{1}{16}$

33.

If 2x=sec θ and 2x=tan θ then 2(x2−1x2) = ? (a) 12 (b) 14 (c) 18 (d) 116

Answer»

If $2 x = s e c θ$ and $\frac{2}{x} = t a n θ$ then $2 (x^{2} - \frac{1}{x^{2}})$ = ?

(a) $\frac{1}{2}$ (b) $\frac{1}{4}$ (c) $\frac{1}{8}$ (d) $\frac{1}{16}$

Discussion

34.	Geeta planned to floor her living room of size 520 cm x 300 cm with the least number of square tiles of equal areas. If the cost for tiling is ₹ 64/tile, find the total cost (in ₹) incurred on tiling. 24960
Answer» Geeta planned to floor her living room of size 520 cm x 300 cm with the least number of square tiles of equal areas. If the cost for tiling is ₹ 64/tile, find the total cost (in ₹) incurred on tiling. 24960

Discussion

35.	A chord PQ of a circle of radius 10 cm subtends an angle of 60∘ at the centre of the circle. Find the area of major and minor segments of the circle.
Answer» A chord PQ of a circle of radius 10 cm subtends an angle of $60^{\circ}$ at the centre of the circle. Find the area of major and minor segments of the circle.

Discussion

36.	From a rectangular sheet of paper ABCD with AB = 40 cm and AD = 28 cm, a semicircular portion with BC as diameter is cut off.Find the area of the remaining paper.
Answer» From a rectangular sheet of paper ABCD with AB = 40 cm and AD = 28 cm, a semicircular portion with BC as diameter is cut off.Find the area of the remaining paper.

Discussion

37.	The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm, and its slant height is 10 cm. Find its capacity and total surface area. [Take π=22/7.]
Answer» The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm, and its slant height is 10 cm. Find its capacity and total surface area. $[T a k e π = 22 / 7.]$

Discussion

38.	If (cotθ+tanθ)=m and (secθ−cosθ)=n, prove that (m2n)23−(mn2)23=1
Answer» If $(c o t θ + t a n θ) = m$ and $(s e c θ - c o s θ) = n$ , prove that $(m^{2} n)^{\frac{2}{3}} - (m n^{2})^{\frac{2}{3}} = 1$

38.

If (cotθ+tanθ)=m and (secθ−cosθ)=n, prove that (m2n)23−(mn2)23=1

Answer»

If $(c o t θ + t a n θ) = m$ and $(s e c θ - c o s θ) = n$ , prove that

$(m^{2} n)^{\frac{2}{3}} - (m n^{2})^{\frac{2}{3}} = 1$

Discussion

39.	The radii of internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm respctively. It is melted and recast into a solid cylinder of diameter 14 cm. Find the height of the cylinder.
Answer» The radii of internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm respctively. It is melted and recast into a solid cylinder of diameter 14 cm. Find the height of the cylinder.

Discussion

40.	The lengths of the sides of a triangular field are 20 m, 21 m and 29 m. The cost of cultivating the field at Rs. 9 per m2 is (a) Rs. 2610 (b) Rs. 3780 (c) Rs. 1890 (d) Rs. 1800
Answer» The lengths of the sides of a triangular field are 20 m, 21 m and 29 m. The cost of cultivating the field at Rs. 9 per $m^{2}$ is (a) Rs. 2610 (b) Rs. 3780 (c) Rs. 1890 (d) Rs. 1800

40.

The lengths of the sides of a triangular field are 20 m, 21 m and 29 m. The cost of cultivating the field at Rs. 9 per m2 is (a) Rs. 2610 (b) Rs. 3780 (c) Rs. 1890 (d) Rs. 1800

Answer»

The lengths of the sides of a triangular field are 20 m, 21 m and 29 m. The cost of cultivating the field at Rs. 9 per $m^{2}$ is

(a) Rs. 2610 (b) Rs. 3780 (c) Rs. 1890 (d) Rs. 1800

Discussion

41.	From the top of a 50 m high tower, the angles of depression of the top and bottom of a pole are observed to be 45∘ and 60∘ respectively. Find the height of the pole.
Answer» From the top of a 50 m high tower, the angles of depression of the top and bottom of a pole are observed to be $45^{\circ}$ and $60^{\circ}$ respectively. Find the height of the pole.

Discussion

42.	Evaluate cosec31-sec59
Answer» Evaluate cosec31-sec59

Discussion

43.	5 pens and 6 pencils together cost Rs.9 and 3 pens and 2 pencils cost Rs.5. Find the cost of 1 pen and 1 pencil.
Answer» 5 pens and 6 pencils together cost Rs.9 and 3 pens and 2 pencils cost Rs.5. Find the cost of 1 pen and 1 pencil.

Discussion

44.	In each of the following systems of equations determine whether the system has a unique solution, no solution or ininitely many solutions. In case there is a unique solution, find it (1-4) 3x - 5 y = 20 6x - 10y = 40
Answer» In each of the following systems of equations determine whether the system has a unique solution, no solution or ininitely many solutions. In case there is a unique solution, find it (1-4) 3x - 5 y = 20 6x - 10y = 40

44.

In each of the following systems of equations determine whether the system has a unique solution, no solution or ininitely many solutions. In case there is a unique solution, find it (1-4) 3x - 5 y = 20 6x - 10y = 40

Answer»

In each of the following systems of equations determine whether the system has a unique solution, no solution or ininitely many solutions. In case there is a unique solution, find it (1-4)

3x - 5 y = 20

6x - 10y = 40

Discussion

45.	Find the area of the circle in which a square of area 64 cm2 is inscribed. [Use π=3.14]
Answer» Find the area of the circle in which a square of area $64 c m^{2}$ is inscribed. [Use $π = 3.14$ ]

Discussion

46.	If CSA of a sphere is 154 cm2, then its radius is ___ cm.3.5
Answer» If CSA of a sphere is 154 $c m^{2}$ , then its radius is ___ cm. 3.5

Discussion

47.	Area(in cm2) of the sector of angle 60∘ of a circle with radius 10 cm is
Answer» Area(in $c m^{2}$ ) of the sector of angle $60^{\circ}$ of a circle with radius 10 cm is

Discussion

48.	Question 22 Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.
Answer» Question 22 Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.

Discussion

49.	A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30∘, which is approaching the foot of the tower with a uniform speed. 12 seconds later, the angle of depression of the car is found to be 60∘. Find the time in seconds taken by the car to reach the foot of the tower from this point.
Answer» A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of $30^{\circ}$ , which is approaching the foot of the tower with a uniform speed. 12 seconds later, the angle of depression of the car is found to be $60^{\circ}$ . Find the time in seconds taken by the car to reach the foot of the tower from this point.

Discussion

50.	The sides of ΔABC are 9 cm, 15 cm and 18 cm. Find the perimeter of the smaller triangle which is similar to ΔABC if the ratio of corresponding sides is 3.
Answer» The sides of $Δ ABC$ are 9 cm, 15 cm and 18 cm. Find the perimeter of the smaller triangle which is similar to $Δ ABC$ if the ratio of corresponding sides is 3.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In the equation ax+by+c=0, if y= (cx+d)b then x =

The sum of the digits of a two digit number is 5. If the digits are reversed, the number is reduced by 27. Find the number.

Suppose you walk from home to the bus stand at 4 km/h and immediately return at x km/h. If the average speed is 6 km/h then x is

If a line segment AB is divided in the ratio m : n, both m and n are ___ integers.

Find the number of solutions for the following pair of equations: 4x+5y=9 and 8x+10y=18

Which of the following are AP's? If they form an AP, find the common difference d and write three more terms. (i) −1.2,−3.2,−5.2,−7.2... (ii)0,-4,−8,−12… (iii)−12,−12,−12,−12… (iv)√2,√8, √18,√32… (v)12,32,52,72…

Which is better investment A which is 12% of Rs 100 share at 190 or B which is 10% Rs 120 share at Rs 90.

Define upper triangular matrix and lower triangular matrix.

An AP has the first term as 2 and the common difference as 4. Which term in the AP is the first multiple of 23 to appear?

If 2x+y=23 and 4x−y=19; find the values of x−3y and 5y−2x.

Three friends A, B and C started a business by investing a total sum of Rs. 22,000. At the end of the year. A, B and C receives Rs. 900, Rs. 900 and Rs. 400 respectively as their profit share. What is the amount of capital invested by A, B and C?

A certain sum of money amounts to Rs 6600 after 1 year on CI and amounts to Rs 7986 after 3 years on CI. Find i) sum of money.

A boy with a collection of marble realise that if he makes a group of 5 or 6 marbles at a time there are always 2 marbles left. Can you explain why the boy cannot have a prime number of marbles.

Out of these, which cannot be maximum capacity of a shell?

The area of a sector with radius 14 cm is 154 cm2. The central angle of the sector (in degrees) is

There is a stream which flows for 15 km. I have a boat with speed 14 km/hr and a stream with speed x km/hr. Write an expression for the time it takes to travel upstream and downstream respectively.

The length of the tangent to the circle from an exterior point P is 5cm. What is the length of another tangent drawn to the same circle from the exterior point P?

By increasing the speed of a car by 10km/hr, the time of journey for a distance of 72km is reduced by 36mins. Find the original speed.

A manufacturer has 640 litres of a 8% solution of boric acid. How many litres of a 2% boric add solution be added to it so that the boric acid content in the resulting mixture will be more than 4% but less than 6%?

The following table shows the marks obtained by 5 students in a classroom, find the average marks of the classroom. MarksFrequency981651882541

cotA+cosecA−1cotA−cosecA+1=1+cosAsinA

The fifth term of an AP is 25 and the ninth term is 37. The common difference of the AP will be ___.

The circumference a circle is 44 cm. Then its area is ______ cm2 [Use π=227]

The central angle of 2 sectors of a circle is in the ratio of 4:5 and are used to make 2 cones. What is the ratio of their curved surface area?

Which of the given is the set of zeroes of the polynomial p(x) = 2x3 + x2 – 5x + 2

If the lines 2x−by+2=0 and 4x+2y+a=0 are parallel, then the value of b is

A probability of selecting a red ball at random from a jar that contains only red,blue and orange is 14.The probability of selecting a blue ball at random from the same jar is 13.If the jar contains 10 orange balls,find the total number of balls in the jar.

You want to research on the popularity of vegetable atta noodles among children. Design a suitable questionnaire for collecting this information.

In the given figure, side BC of ΔABC is bisected at D and O is any point on AD, BO and CO produced meet AC and AB at E and F respectively, and AD is produced to X so that D is the midpoint of OX. Prove that AO : AX = AF : AB and show that EF || BC.

Prove that the area of an equilateral triangle described on one side of the square is equal to half the area of the equilateral triangle described on one of its diagonal. OR if the area of two similar triangles are equal, prove that they are congruent.

If 2x=sec θ and 2x=tan θ then 2(x2−1x2) = ? (a) 12 (b) 14 (c) 18 (d) 116

Geeta planned to floor her living room of size 520 cm x 300 cm with the least number of square tiles of equal areas. If the cost for tiling is ₹ 64/tile, find the total cost (in ₹) incurred on tiling. 24960

A chord PQ of a circle of radius 10 cm subtends an angle of 60∘ at the centre of the circle. Find the area of major and minor segments of the circle.

From a rectangular sheet of paper ABCD with AB = 40 cm and AD = 28 cm, a semicircular portion with BC as diameter is cut off.Find the area of the remaining paper.

The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm, and its slant height is 10 cm. Find its capacity and total surface area. [Take π=22/7.]

If (cotθ+tanθ)=m and (secθ−cosθ)=n, prove that (m2n)23−(mn2)23=1

The radii of internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm respctively. It is melted and recast into a solid cylinder of diameter 14 cm. Find the height of the cylinder.

The lengths of the sides of a triangular field are 20 m, 21 m and 29 m. The cost of cultivating the field at Rs. 9 per m2 is (a) Rs. 2610 (b) Rs. 3780 (c) Rs. 1890 (d) Rs. 1800

From the top of a 50 m high tower, the angles of depression of the top and bottom of a pole are observed to be 45∘ and 60∘ respectively. Find the height of the pole.

Evaluate cosec31-sec59

5 pens and 6 pencils together cost Rs.9 and 3 pens and 2 pencils cost Rs.5. Find the cost of 1 pen and 1 pencil.

In each of the following systems of equations determine whether the system has a unique solution, no solution or ininitely many solutions. In case there is a unique solution, find it (1-4) 3x - 5 y = 20 6x - 10y = 40

Find the area of the circle in which a square of area 64 cm2 is inscribed. [Use π=3.14]

If CSA of a sphere is 154 cm2, then its radius is ___ cm.3.5

Area(in cm2) of the sector of angle 60∘ of a circle with radius 10 cm is

Question 22 Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.

The sides of ΔABC are 9 cm, 15 cm and 18 cm. Find the perimeter of the smaller triangle which is similar to ΔABC if the ratio of corresponding sides is 3.