25365 + Interview Questions in Mathematics Page 45 InterviewSolution

2201.	if 4x^2+y^2+9z^2-2xy-3yz-6zx=0, then prove that 2x=y=3z
Answer» if 4x^2+y^2+9z^2-2xy-3yz-6zx=0, then prove that 2x=y=3z

Discussion

2202.	If ₹ 15,000 is invested for 112 years at 12% per annum compounded half yearly, find the amount received after 112 years.
Answer» If ₹ 15,000 is invested for $1 \frac{1}{2}$ years at 12% per annum compounded half yearly, find the amount received after 1 $\frac{1}{2}$ years.

Discussion

2203.	The area of a trapezium shaped field is 480 m2. The distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side
Answer» The area of a trapezium shaped field is 480 $m^{2}$ . The distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side

Discussion

2204.	find minima and maxima if y = x^3/3 + 5x^2/2 + 6x .
Answer» find minima and maxima if y = x^3/3 + 5x^2/2 + 6x .

Discussion

2205.	Two articles were brought for Rs.1000 each, if one article was sold at 45% profit and the other at 45% loss. Then the man will get
Answer» Two articles were brought for Rs.1000 each, if one article was sold at 45% profit and the other at 45% loss. Then the man will get

Discussion

2206.	Plot the points A (2, 4) and B (4, 2) on a graph sheet and draw a line passing through these two points. Extend the line on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?
Answer» Plot the points A (2, 4) and B (4, 2) on a graph sheet and draw a line passing through these two points. Extend the line on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?

Discussion

2207.	Question 21(i)Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 6?
Answer» Question 21(i) Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 6?

Discussion

2208.	Two alternate sides of a regular polygon, when produced, meet at the right angle. What is the number of sides in the polygon?
Answer» Two alternate sides of a regular polygon, when produced, meet at the right angle. What is the number of sides in the polygon?

Discussion

2209.	Question 9The ages of Rahul and Haro are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?
Answer» Question 9 The ages of Rahul and Haro are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Discussion

2210.	Which statement is correct for the following Venn diagram?
Answer» Which statement is correct for the following Venn diagram?

2210.

Which statement is correct for the following Venn diagram?

Answer»

Which statement is correct for the following Venn diagram?

Discussion

2211.	How many times a fair coin must be tossed so that the probability of getting heads atleast once is greater than 80%.
Answer» How many times a fair coin must be tossed so that the probability of getting heads atleast once is greater than 80%.

Discussion

2212.	Construct a quadrilateral ABCD given AB = 5.6 cm, BC = 4.1, CD = 4.4 cm, AD = 3.3 cm, and ∠A=75∘.
Answer» Construct a quadrilateral ABCD given AB = 5.6 cm, BC = 4.1, CD = 4.4 cm, AD = 3.3 cm, and $∠ A = 75^{\circ}$ .

Discussion

2213.	For a function f:A→B, if the number of elements in set A and B are 5 and 3 respectively, then the number of one-one function(s) is
Answer» For a function $f : A \to B,$ if the number of elements in set $A$ and $B$ are $5$ and $3$ respectively, then the number of one-one function(s) is

Discussion

2214.	In the figure ABCD is a square, M, N, O and P are the midpoints of sides AB, BC, CD and DA respectively. Identify the congruent triangles.
Answer» In the figure ABCD is a square, M, N, O and P are the midpoints of sides AB, BC, CD and DA respectively. Identify the congruent triangles.

2214.

In the figure ABCD is a square, M, N, O and P are the midpoints of sides AB, BC, CD and DA respectively. Identify the congruent triangles.

Answer»

In the figure ABCD is a square, M, N, O and P are the midpoints of sides AB, BC, CD and DA respectively. Identify the congruent triangles.

Discussion

2215.	Question 5 (i)It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel of 10 m deep. If the cost of painting is at the rate of Rs 20per m2, find(i) Inner curved surface area of the vessel.[Assume π=227]
Answer» Question 5 (i) It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel of 10 m deep. If the cost of painting is at the rate of $R s 20 p e r m^{2}$ , find (i) Inner curved surface area of the vessel. $[A s s u m e π = \frac{22}{7}]$

2215.

Question 5 (i)It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel of 10 m deep. If the cost of painting is at the rate of Rs 20per m2, find(i) Inner curved surface area of the vessel.[Assume π=227]

Answer»

Question 5 (i)

It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel of 10 m deep. If the cost of painting is at the rate of $R s 20 p e r m^{2}$ , find

(i) Inner curved surface area of the vessel.

$[A s s u m e π = \frac{22}{7}]$

Discussion

2216.	Rounded to the hundredths place, what is the square root of 15?
Answer» Rounded to the hundredths place, what is the square root of 15?

Discussion

2217.	13. Find the equation of the plane through the points (1,-1,2) and ( 2,-2,2) and is perpendicular to the plane 6x-2y+2z=9
Answer» 13. Find the equation of the plane through the points (1,-1,2) and ( 2,-2,2) and is perpendicular to the plane 6x-2y+2z=9

Discussion

2218.	Which of the following is/are function?
Answer» Which of the following is/are function?

Discussion

2219.	ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. [3 MARKS]
Answer» ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. [3 MARKS]

Discussion

2220.	Find 7 rational numbers between 13 and 12.
Answer» Find 7 rational numbers between $\frac{1}{3}$ and $\frac{1}{2}$ .

Discussion

2221.	In parallelogram ABCD, E is the mid-point of side AB and CE bisects angle BCD.Prove that :(i) AE=AD.(ii) DE bisects and ∠ADC and(iii) Angle DEC is a right angle.
Answer» $In parallelogram ABCD, E is the mid-point of side AB and CE bisects angle BCD. Prove that : (i) A E = A D . (i i) DE bisects and ∠ A D C a n d (i i i) Angle DEC is a right angle.$

Discussion

2222.	What sum will amount to Rs. 4913 in 18 months, if the rate of interest is 1212% per annum, compounded half-yearly.
Answer» What sum will amount to Rs. 4913 in 18 months, if the rate of interest is $12 \frac{1}{2} %$ per annum, compounded half-yearly.

Discussion

2223.	A Cuboid has length, breadth and height of 6 cm, 4 cm and 2 cm respectively. Find the total surface area of Cuboid.
Answer» A Cuboid has length, breadth and height of 6 cm, 4 cm and 2 cm respectively. Find the total surface area of Cuboid.

Discussion

2224.	Factorisation of −x2y−x+3xy+3 gives _________ .
Answer» Factorisation of $- x^{2} y - x + 3 x y + 3$ gives _________ .

Discussion

2225.	Question 82(i)The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F.Which brand(s) cost/costs more than brand D?
Answer» Question 82(i) The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F. Which brand(s) cost/costs more than brand D?

Discussion

2226.	Question 8Mohan wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.
Answer» Question 8 Mohan wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is $10500 m^{2}$ and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Discussion

2227.	Question 53State whether the following statement is true or false:The areas of any two faces of a cube are equal.
Answer» Question 53 State whether the following statement is true or false: The areas of any two faces of a cube are equal.

2227.

Question 53State whether the following statement is true or false:The areas of any two faces of a cube are equal.

Answer»

Question 53

State whether the following statement is true or false:

The areas of any two faces of a cube are equal.

Discussion

2228.	Let a and b be positive integers such that ab+1 divides a2+b2. Why must a2+b2ab+1 be a perfect square?
Answer» Let a and b be positive integers such that ab+1 divides a2+b2. Why must a2+b2ab+1 be a perfect square?

Discussion

2229.	Question 64 The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?
Answer» Question 64 The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?

2229.

Question 64 The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?

Answer»

Question 64

The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?

Discussion

2230.	Find the value of A+B+C if :A=(7xy+5yz−3zx)B=(4yz+9zx−4y)C=(−3xz+5x−2xy)
Answer» Find the value of $A + B + C$ if : $A = (7 x y + 5 y z - 3 z x)$ $B = (4 y z + 9 z x - 4 y)$ $C = (- 3 x z + 5 x - 2 x y)$

Discussion

2231.	44. Find the perpendicular distance from the origin of the perpendicular from the point (1,2) upon the straight line-
Answer» 44. Find the perpendicular distance from the origin of the perpendicular from the point (1,2) upon the straight line-

Discussion

2232.	−44÷11= _____-4
Answer» $- 44 \div 11 =$ _____ -4

Discussion

2233.	Question 112(iv)Sonia picks up a card from the given cards Find the probability of getting a B card bearing number greater than 7. ?
Answer» Question 112(iv) Sonia picks up a card from the given cards Find the probability of getting a B card bearing number greater than 7. ?

2233.

Question 112(iv)Sonia picks up a card from the given cards Find the probability of getting a B card bearing number greater than 7. ?

Answer»

Question 112(iv)

Sonia picks up a card from the given cards

Find the probability of getting a B card bearing number greater than 7. ?

Discussion

2234.	Construct ∆ ABC, such that BC = 6 cm, ∠ABC = 100° and AC- AB = 2.5cm.
Answer» Construct $∆$ ABC, such that BC = 6 cm, $∠$ ABC = $100^{°}$ and AC $-$ AB = 2.5cm.

Discussion

2235.	Question 42Opposite faces of a cuboid are ___ in area.
Answer» Question 42 Opposite faces of a cuboid are ___ in area.

2235.

Question 42Opposite faces of a cuboid are ___ in area.

Answer»

Question 42

Opposite faces of a cuboid are ___ in area.

Discussion

2236.	The fuel consumption of an engine is 16,000×((Speed)3×Time) L. If a distance of 120 km has to be covered in exactly 4 h, what should be the minimum amount of fuel at the start of the journey so that the driver can make it? [Speed is in km/h and time is in h.]18
Answer» The fuel consumption of an engine is $\frac{1}{6, 000} \times ((S p e e d)^{3} \times T i m e)$ L. If a distance of 120 km has to be covered in exactly 4 h, what should be the minimum amount of fuel at the start of the journey so that the driver can make it? [Speed is in km/h and time is in h.] 18

Discussion

2237.	Find domain √2-2^x-2^2x
Answer» Find domain √2-2^x-2^2x

Discussion

2238.	Tally marks are used to find :
Answer» Tally marks are used to find :

Discussion

2239.	Draw a line of best fit for the given plot.Guess the slope of the line
Answer» Draw a line of best fit for the given plot. Guess the slope of the line

Discussion

2240.	Question 47Fill in the blanks to make the statements true.The least number by which 72 be divided to make it a perfect cube is ___.
Answer» Question 47 Fill in the blanks to make the statements true. The least number by which 72 be divided to make it a perfect cube is ___.

2240.

Question 47Fill in the blanks to make the statements true.The least number by which 72 be divided to make it a perfect cube is ___.

Answer»

Question 47

Fill in the blanks to make the statements true.

The least number by which 72 be divided to make it a perfect cube is ___.

Discussion

2241.	how to calculate square root of a number by lcm method.
Answer» how to calculate square root of a number by lcm method.

Discussion

2242.	Identify the front view of the given object.
Answer» Identify the front view of the given object.

Discussion

2243.	We have a map with a scale of 1:50000000. How much would 1 cm measure in actual distance?
Answer» We have a map with a scale of 1:50000000. How much would 1 cm measure in actual distance?

Discussion

2244.	what is the y-coordinate of any point on the x axis?
Answer» what is the y-coordinate of any point on the x axis?

Discussion

2245.	Which one of the following is an irreducible factor of 18x2y2.
Answer» Which one of the following is an irreducible factor of $18 x^{2} y^{2} .$

Discussion

2246.	Question 2(viii)Factorise the following expressions−4a2+4ab−4ca
Answer» Question 2(viii) Factorise the following expressions $- 4 a^{2} + 4 a b - 4 c a$

Discussion

2247.	ABCD is a parallelogram in which }DC=14cm,AC=16cm and area of parallelogram is }80\sqrt3cm^2 . } The length of }AD can be equal to } (1) }18cm(2) 10cm(3) }13.5cm(4)12cm .
Answer» ABCD is a parallelogram in which }DC=14cm,AC=16cm and area of parallelogram is }80\sqrt3cm^2 . } The length of }AD can be equal to } (1) }18cm(2) 10cm(3) }13.5cm(4)12cm .

Discussion

2248.	At Srinagar temperature was −5∘C on Monday and then it dropped by 2∘C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4∘C. What was the temperature on Wednesday?
Answer» At Srinagar temperature was $- 5^{\circ} C$ on Monday and then it dropped by $2^{\circ} C$ on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by $4^{\circ} C$ . What was the temperature on Wednesday?

Discussion

2249.	A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?
Answer» A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?

2249.

A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?

Answer»

A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?

Discussion

2250.	A coin is tossed 6 times. Find the total number of possible outcomes.
Answer» A coin is tossed 6 times. Find the total number of possible outcomes.

Discussion

Explore topic-wise InterviewSolutions in .

if 4x^2+y^2+9z^2-2xy-3yz-6zx=0, then prove that 2x=y=3z

If ₹ 15,000 is invested for 112 years at 12% per annum compounded half yearly, find the amount received after 112 years.

The area of a trapezium shaped field is 480 m2. The distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side

find minima and maxima if y = x^3/3 + 5x^2/2 + 6x .

Two articles were brought for Rs.1000 each, if one article was sold at 45% profit and the other at 45% loss. Then the man will get

Plot the points A (2, 4) and B (4, 2) on a graph sheet and draw a line passing through these two points. Extend the line on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?

Question 21(i)Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 6?

Two alternate sides of a regular polygon, when produced, meet at the right angle. What is the number of sides in the polygon?

Question 9The ages of Rahul and Haro are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Which statement is correct for the following Venn diagram?

How many times a fair coin must be tossed so that the probability of getting heads atleast once is greater than 80%.

Construct a quadrilateral ABCD given AB = 5.6 cm, BC = 4.1, CD = 4.4 cm, AD = 3.3 cm, and ∠A=75∘.

For a function f:A→B, if the number of elements in set A and B are 5 and 3 respectively, then the number of one-one function(s) is

In the figure ABCD is a square, M, N, O and P are the midpoints of sides AB, BC, CD and DA respectively. Identify the congruent triangles.

Question 5 (i)It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel of 10 m deep. If the cost of painting is at the rate of Rs 20per m2, find(i) Inner curved surface area of the vessel.[Assume π=227]

Rounded to the hundredths place, what is the square root of 15?

13. Find the equation of the plane through the points (1,-1,2) and ( 2,-2,2) and is perpendicular to the plane 6x-2y+2z=9

Which of the following is/are function?

ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. [3 MARKS]

Find 7 rational numbers between 13 and 12.

In parallelogram ABCD, E is the mid-point of side AB and CE bisects angle BCD.Prove that :(i) AE=AD.(ii) DE bisects and ∠ADC and(iii) Angle DEC is a right angle.

What sum will amount to Rs. 4913 in 18 months, if the rate of interest is 1212% per annum, compounded half-yearly.

A Cuboid has length, breadth and height of 6 cm, 4 cm and 2 cm respectively. Find the total surface area of Cuboid.

Factorisation of −x2y−x+3xy+3 gives _________ .

Question 82(i)The graph given below compares the price ( in Rs.) and weight of 6 bags ( in kg) of sugar of different brands A, B, C, D, E, F.Which brand(s) cost/costs more than brand D?

Question 8Mohan wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Question 53State whether the following statement is true or false:The areas of any two faces of a cube are equal.

Let a and b be positive integers such that ab+1 divides a2+b2. Why must a2+b2ab+1 be a perfect square?

Question 64 The variable x varies directly as y and x = 80 when y is 160. What is y when x is 64?

Find the value of A+B+C if :A=(7xy+5yz−3zx)B=(4yz+9zx−4y)C=(−3xz+5x−2xy)

44. Find the perpendicular distance from the origin of the perpendicular from the point (1,2) upon the straight line-

−44÷11= _____-4

Question 112(iv)Sonia picks up a card from the given cards Find the probability of getting a B card bearing number greater than 7. ?

Construct ∆ ABC, such that BC = 6 cm, ∠ABC = 100° and AC- AB = 2.5cm.

Question 42Opposite faces of a cuboid are ___ in area.

The fuel consumption of an engine is 16,000×((Speed)3×Time) L. If a distance of 120 km has to be covered in exactly 4 h, what should be the minimum amount of fuel at the start of the journey so that the driver can make it? [Speed is in km/h and time is in h.]18

Find domain √2-2^x-2^2x

Tally marks are used to find :

Draw a line of best fit for the given plot.Guess the slope of the line

Question 47Fill in the blanks to make the statements true.The least number by which 72 be divided to make it a perfect cube is ___.

how to calculate square root of a number by lcm method.

Identify the front view of the given object.

We have a map with a scale of 1:50000000. How much would 1 cm measure in actual distance?

what is the y-coordinate of any point on the x axis?

Which one of the following is an irreducible factor of 18x2y2.

Question 2(viii)Factorise the following expressions−4a2+4ab−4ca

ABCD is a parallelogram in which }DC=14cm,AC=16cm and area of parallelogram is }80\sqrt3cm^2 . } The length of }AD can be equal to } (1) }18cm(2) 10cm(3) }13.5cm(4)12cm .

At Srinagar temperature was −5∘C on Monday and then it dropped by 2∘C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4∘C. What was the temperature on Wednesday?

A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?

A coin is tossed 6 times. Find the total number of possible outcomes.