24740 + Interview Questions in Mathematics Page 171 InterviewSolution

8501.	A water container can hold 40 litres of water. Then find the total number of ice cubes of side 5 cm which the container can hold.
Answer» A water container can hold 40 litres of water. Then find the total number of ice cubes of side 5 cm which the container can hold.

Discussion

8502.	If the mean of five observations x, x+2, x+4, x+6, x+8, is 11, then the mean of first three observations is(a) 9(b) 11(c) 13(d) none of these
Answer» If the mean of five observations x, x+2, x+4, x+6, x+8, is 11, then the mean of first three observations is (a) 9 (b) 11 (c) 13 (d) none of these

Discussion

8503.	One sees the top of a tree on a bank of a river at an elevation of 70∘ from the other bank. Stepping 20 m back, he sees the top of the tree at an elevation of 55∘. If height of the person is 1.4 m then find the width of river. [tan 70∘=2.75, tan 55∘=1.43]
Answer» One sees the top of a tree on a bank of a river at an elevation of $70^{\circ}$ from the other bank. Stepping 20 m back, he sees the top of the tree at an elevation of $55^{\circ}$ . If height of the person is $1.4 m$ then find the width of river. $[t a n 70^{\circ} = 2.75, t a n 55^{\circ} = 1.43]$

8503.

One sees the top of a tree on a bank of a river at an elevation of 70∘ from the other bank. Stepping 20 m back, he sees the top of the tree at an elevation of 55∘. If height of the person is 1.4 m then find the width of river. [tan 70∘=2.75, tan 55∘=1.43]

Answer»

One sees the top of a tree on a bank of a river at an elevation of $70^{\circ}$ from the other bank. Stepping 20 m back, he sees the top of the tree at an elevation of $55^{\circ}$ . If height of the person is $1.4 m$ then find the width of river. $[t a n 70^{\circ} = 2.75, t a n 55^{\circ} = 1.43]$

Discussion

8504.	Question 9The figure obtained by joining the mid-points of the sides of a rhombus, taken In order, is(A) a rhombus(B) a rectangle(C) a square(D) any parallelogram
Answer» Question 9 The figure obtained by joining the mid-points of the sides of a rhombus, taken In order, is (A) a rhombus (B) a rectangle (C) a square (D) any parallelogram

Discussion

8505.	If x3 + ax2 − bx+ 10 is divisible by x2 − 3x + 2, find the values of a and b.
Answer» If x³ + ax² − bx+ 10 is divisible by x² − 3x + 2, find the values of a and b.

Discussion

8506.	Factorise 2(ab+cd)−a2−b2+c2+d2
Answer» Factorise $2 (a b + c d) - a^{2} - b^{2} + c^{2} + d^{2}$

Discussion

8507.	Types of irrational number explain
Answer» Types of irrational number explain

Discussion

8508.	24. If two of the zeros of the polynomial f(x) = 5x-5x-33x+3x+18 are 35 & -35. Find the other two zeros ??
Answer» 24. If two of the zeros of the polynomial f(x) = 5x-5x-33x+3x+18 are 35 & -35. Find the other two zeros ??

Discussion

8509.	make up the boundaries of a surface.
Answer» make up the boundaries of a surface.

Discussion

8510.	Point (–7, 0) lies(a) on the negative direction of the x-axis(b) on the negative direction of the y-axis(c) in the III quadrant(d) in the IV quadrant
Answer» Point (–7, 0) lies (a) on the negative direction of the x-axis (b) on the negative direction of the y-axis (c) in the III quadrant (d) in the IV quadrant

Discussion

8511.	If the perimeter of one of the faces of a cube is 40 cm, then find its volume.
Answer» If the perimeter of one of the faces of a cube is 40 cm, then find its volume.

Discussion

8512.	If the coordinates of a point M are (-2, 9) which can also be expressed as(1+x,y2) and y > 0, then find in which quadrant do the following points lie : P(y, x), Q(2, x), R(x2,y−1), S(2x, -3y).
Answer» If the coordinates of a point M are (-2, 9) which can also be expressed as $(1 + x, y^{2})$ and y > 0, then find in which quadrant do the following points lie : P(y, x), Q(2, x), $R (x^{2}, y - 1)$ , S(2x, -3y).

Discussion

8513.	Write all the factors of the given number:21
Answer» Write all the factors of the given number: 21

Discussion

8514.	Find x,if
Answer» Find x, if

Discussion

8515.

Two coins are tossed 1000 times and the outcomes are recorded as given below: Number of heads 2 1 0 Frequency 200 550 250 Now, if two coins are tossed at random, what is the probability of getting at most one head?(a) 34(b) 45(c) 14(d) 15

Answer» Two coins are tossed 1000 times and the outcomes are recorded as given below:

Number of heads	2	1	0
Frequency	200	550	250

Now, if two coins are tossed at random, what is the probability of getting at most one head?

(a)

\frac{3}{4}

(b)

\frac{4}{5}

(c)

\frac{1}{4}

(d)

\frac{1}{5}

Discussion

8516.	If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is ________.
Answer» If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is ________.

Discussion

8517.	The height of a solid cone is 12 cm and the area of the circular base is 64π cm2.A plane parallel to the base of the cone cuts through the cone 9 cm above the vertex of the cone, the area of the base of the new cone so formed is
Answer» The height of a solid cone is $12 c m$ and the area of the circular base is $64 π c m^{2}$ .A plane parallel to the base of the cone cuts through the cone $9 c m$ above the vertex of the cone, the area of the base of the new cone so formed is

Discussion

8518.

Given below are some equations and the values of the variables. Are these values the solutions to those equations? No Equation Value of the variable Solution(Yes / No) 1 y − 3 = 11 y = 3 No 2 17 = n + 7 n = 10 3 30 = 5x x = 6 4 m2= 14 m = 7

Answer» Given below are some equations and the values of the variables. Are these values the solutions to those equations?

No	Equation	Value of the variable	Solution(Yes / No)
1	y − 3 = 11	y = 3	No
2	17 = n + 7	n = 10
3	30 = 5x	x = 6
4	$\frac{m}{2} = 14$	m = 7

Discussion

8519.	The angles of a quadrilateral are in the ratio 3:4:5:6. The angles of the quadrilateral are:
Answer» The angles of a quadrilateral are in the ratio 3:4:5:6. The angles of the quadrilateral are:

Discussion

8520.	The height of a cylinder is 77 m and the circumference of the base of the cylinder is 24 m . Find the volume of the cylinder.
Answer» The height of a cylinder is 77 m and the circumference of the base of the cylinder is 24 m . Find the volume of the cylinder.

Discussion

8521.	Tiwari and Sons find that that the bank balance shown by their Cash Book on 31st March, 2018 is ₹ 40,500 (credit) but the Pass Book shows a difference due to the following reasons:(i) A cheque for ₹ 5,000 drawn in favor of Manohar has not yet been presented for payment.(ii) A post-dated cheque for ₹ 900 has been debited in the bank column of the Cash Book but it could not have been presented in any case.(iii) Cheques totalling ₹ 10,200 deposited with the bank have not yet been collected and a cheque for ₹ 4,000 has been dishonoured.(iv) A bill for ₹ 10,000 was retired by the Bank under a rebate of ₹ 150 but the full amount of the bill was credited in the bank column of the Cash Book.Prepare Bank Reconcilation Statement and find out the balance as per Pass Book.
Answer» Tiwari and Sons find that that the bank balance shown by their Cash Book on 31st March, 2018 is ₹ 40,500 (credit) but the Pass Book shows a difference due to the following reasons: (i) A cheque for ₹ 5,000 drawn in favor of Manohar has not yet been presented for payment. (ii) A post-dated cheque for ₹ 900 has been debited in the bank column of the Cash Book but it could not have been presented in any case. (iii) Cheques totalling ₹ 10,200 deposited with the bank have not yet been collected and a cheque for ₹ 4,000 has been dishonoured. (iv) A bill for ₹ 10,000 was retired by the Bank under a rebate of ₹ 150 but the full amount of the bill was credited in the bank column of the Cash Book. Prepare Bank Reconcilation Statement and find out the balance as per Pass Book.

Discussion

8522.	If each side of a square is doubled, then find the increase percentage of its area.
Answer» If each side of a square is doubled, then find the increase percentage of its area.

Discussion

8523.	(a + b)3 − 8(a − b)3
Answer» (a + b)³ − 8(a − b)³

Discussion

8524.	What is the dimensions of 2nd order rate constant?
Answer» What is the dimensions of 2nd order rate constant?

Discussion

8525.	If you take 'x' as the number of chocolates you have, and you receive the same number of chocolates from your friend, then what will be the number of chocolates you have in total?
Answer» If you take ' $x$ ' as the number of chocolates you have, and you receive the same number of chocolates from your friend, then what will be the number of chocolates you have in total?

Discussion

8526.	Show that A(1, 2), B(4, 3), C(6, 6) and D(3, 5) are the vertices of a parallelogram. Show that ABCD is not a rectangle.
Answer» Show that A(1, 2), B(4, 3), C(6, 6) and D(3, 5) are the vertices of a parallelogram. Show that ABCD is not a rectangle.

Discussion

8527.	Find 2 irrational numbers between 0.12 and 0.13
Answer» Find 2 irrational numbers between 0.12 and 0.13

Discussion

8528.	Which of these pairs of lines are consistent?
Answer» Which of these pairs of lines are consistent?

Discussion

8529.	Factorisex3 – 3x2 + 3x + 7
Answer» Factorise x³ – 3x²+ 3x + 7

Discussion

8530.	Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P(0,–4) and B(8,0).
Answer» Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points $P (0, - 4) and B (8, 0)$ .

Discussion

8531.	14. An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45cm, find the area between the two consecutive ribs of the umbrella
Answer» 14. An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45cm, find the area between the two consecutive ribs of the umbrella

Discussion

8532.	Question 1 (iv) Fill in the blanks using the correct word in the given bracket. (iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are___and (b) their corresponding sides are___.(equal, proportional)
Answer» Question 1 (iv) Fill in the blanks using the correct word in the given bracket. (iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are___and (b) their corresponding sides are___.(equal, proportional)

Discussion

8533.	is an irrational number.
Answer» is an irrational number.

Discussion

8534.	In ∆ABC, AB = BC and ∠B = 80°. Then ∠A = __________.
Answer» In ∆ABC, AB = BC and ∠B = 80°. Then ∠A = __________.

Discussion

8535.	If C is the mid point of AB the prove thatevery line segment has one and only one mid point
Answer» If C is the mid point of AB the prove thatevery line segment has one and only one mid point

Discussion

8536.	Express 12470000000000 in the standard form.
Answer» Express 12470000000000 in the standard form.

Discussion

8537.	If log2(x+y)=log3(x−y)=log 25log 0.2, find the values of x and y.
Answer» If $l o g_{2} (x + y) = l o g_{3} (x - y) = \frac{l o g 25}{l o g 0.2}$ , find the values of $x$ and $y$ .

Discussion

8538.	Find the perpendicular distance of the following points from X-axis: A) (-3,-2) B) (2,0) C) (1,8)
Answer» Find the perpendicular distance of the following points from X-axis: A) (-3,-2) B) (2,0) C) (1,8)

8538.

Find the perpendicular distance of the following points from X-axis: A) (-3,-2) B) (2,0) C) (1,8)

Answer»

Find the perpendicular distance of the following points from X-axis:

A) (-3,-2)

B) (2,0)

C) (1,8)

Discussion

8539.	Find the value of A to make the fraction onthe right hand side equivalent to 34
Answer» $Find the value of A to make the fraction on$ $the right hand side equivalent to \frac{3}{4}$

Discussion

8540.	Question 123A student used the proportion n100=532 to find 5 % of 32. What did the student do wrong ?
Answer» Question 123 A student used the proportion $\frac{n}{100} = \frac{5}{32}$ to find 5 % of 32. What did the student do wrong ?

8540.

Question 123A student used the proportion n100=532 to find 5 % of 32. What did the student do wrong ?

Answer»

Question 123

A student used the proportion $\frac{n}{100} = \frac{5}{32}$ to find 5 % of 32. What did the student do wrong ?

Discussion

8541.	Find the volume of a sphere whose surface area is 154 cm2.
Answer» Find the volume of a sphere whose surface area is 154 cm².

Discussion

8542.	Question 4AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ∠A > ∠C and ∠B > ∠D.
Answer» Question 4 AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that $∠ A$ > $∠ C$ and $∠ B$ > $∠ D$ .

Discussion

8543.	What is the range in the following numbers: 19, 21, 18, 17, 18, 22, 46
Answer» What is the range in the following numbers: 19, 21, 18, 17, 18, 22, 46

Discussion

8544.	If the sides of a traingle are a, b and c, then what is the perimeter of the triangles?
Answer» If the sides of a traingle are a, b and c, then what is the perimeter of the triangles?

Discussion

8545.	How to draw a circle with three non collinear points?
Answer» How to draw a circle with three non collinear points?

Discussion

8546.	Which of the following are examples of the null set:(i) Set of odd natural numbers divisible by 2(ii) Set of even prime numbers(iii) {x:x is a natural number, x<5 and x>7}(iv) {y:y is a point common to any two parallel lines}
Answer» Which of the following are examples of the null set: $(i)$ Set of odd natural numbers divisible by $2$ $(i i)$ Set of even prime numbers $(i i i)$ ${x : x$ is a natural number, $x < 5$ and $x > 7}$ $(i v)$ ${y : y$ is a point common to any two parallel lines $}$

Discussion

8547.	Given : log xlog y=32 and log (xy)=5; find the values of x and y.
Answer» Given : $\frac{l o g x}{l o g y} = \frac{3}{2}$ and $l o g (x y) = 5$ ; find the values of $x$ and $y$ .

Discussion

8548.	Draw the graph of the equation, 3x + 2y = 6. Find the coordinates of the point where the graph cuts the y - axis.
Answer» Draw the graph of the equation, 3x + 2y = 6. Find the coordinates of the point where the graph cuts the y - axis.

8548.

Draw the graph of the equation, 3x + 2y = 6. Find the coordinates of the point where the graph cuts the y - axis.

Answer»

Draw the graph of the equation, 3x + 2y = 6.

Find the coordinates of the point where the graph cuts the y - axis.

Discussion

8549.	In a quadrilateral PQRS, the angles P, Q, R and S are in the ratio 2 : 3 : 5 : 5. The measures of each angle are:
Answer» In a quadrilateral PQRS, the angles P, Q, R and S are in the ratio 2 : 3 : 5 : 5. The measures of each angle are:

Discussion

8550.

In a clock, the hour hand is at 6, the minute hand at 12 and the second hand somewhere between 8 and 9. If the angle made by second hand and hour hand is 73∘, what is the angle(in degrees) between the minute hand and second hand? __

Answer»

In a clock, the hour hand is at 6, the minute hand at 12 and the second hand somewhere between 8 and 9. If the angle made by second hand and hour hand is 73 $^{\circ}$ , what is the angle(in degrees) between the minute hand and second hand?

__

Discussion

Explore topic-wise InterviewSolutions in .

A water container can hold 40 litres of water. Then find the total number of ice cubes of side 5 cm which the container can hold.

If the mean of five observations x, x+2, x+4, x+6, x+8, is 11, then the mean of first three observations is(a) 9(b) 11(c) 13(d) none of these

One sees the top of a tree on a bank of a river at an elevation of 70∘ from the other bank. Stepping 20 m back, he sees the top of the tree at an elevation of 55∘. If height of the person is 1.4 m then find the width of river. [tan 70∘=2.75, tan 55∘=1.43]

Question 9The figure obtained by joining the mid-points of the sides of a rhombus, taken In order, is(A) a rhombus(B) a rectangle(C) a square(D) any parallelogram

If x3 + ax2 − bx+ 10 is divisible by x2 − 3x + 2, find the values of a and b.

Factorise 2(ab+cd)−a2−b2+c2+d2

Types of irrational number explain

24. If two of the zeros of the polynomial f(x) = 5x-5x-33x+3x+18 are 35 & -35. Find the other two zeros ??

make up the boundaries of a surface.

Point (–7, 0) lies(a) on the negative direction of the x-axis(b) on the negative direction of the y-axis(c) in the III quadrant(d) in the IV quadrant

If the perimeter of one of the faces of a cube is 40 cm, then find its volume.

If the coordinates of a point M are (-2, 9) which can also be expressed as(1+x,y2) and y > 0, then find in which quadrant do the following points lie : P(y, x), Q(2, x), R(x2,y−1), S(2x, -3y).

Write all the factors of the given number:21

Find x,if

Two coins are tossed 1000 times and the outcomes are recorded as given below: Number of heads 2 1 0 Frequency 200 550 250 Now, if two coins are tossed at random, what is the probability of getting at most one head?(a) 34(b) 45(c) 14(d) 15

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greater of the two angles is ________.

The height of a solid cone is 12 cm and the area of the circular base is 64π cm2.A plane parallel to the base of the cone cuts through the cone 9 cm above the vertex of the cone, the area of the base of the new cone so formed is

Given below are some equations and the values of the variables. Are these values the solutions to those equations? No Equation Value of the variable Solution(Yes / No) 1 y − 3 = 11 y = 3 No 2 17 = n + 7 n = 10 3 30 = 5x x = 6 4 m2= 14 m = 7

The angles of a quadrilateral are in the ratio 3:4:5:6. The angles of the quadrilateral are:

The height of a cylinder is 77 m and the circumference of the base of the cylinder is 24 m . Find the volume of the cylinder.

If each side of a square is doubled, then find the increase percentage of its area.

(a + b)3 − 8(a − b)3

What is the dimensions of 2nd order rate constant?

If you take 'x' as the number of chocolates you have, and you receive the same number of chocolates from your friend, then what will be the number of chocolates you have in total?

Show that A(1, 2), B(4, 3), C(6, 6) and D(3, 5) are the vertices of a parallelogram. Show that ABCD is not a rectangle.

Find 2 irrational numbers between 0.12 and 0.13

Which of these pairs of lines are consistent?

Factorisex3 – 3x2 + 3x + 7

Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P(0,–4) and B(8,0).

14. An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45cm, find the area between the two consecutive ribs of the umbrella

Question 1 (iv) Fill in the blanks using the correct word in the given bracket. (iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are___and (b) their corresponding sides are___.(equal, proportional)

is an irrational number.

In ∆ABC, AB = BC and ∠B = 80°. Then ∠A = __________.

If C is the mid point of AB the prove thatevery line segment has one and only one mid point

Express 12470000000000 in the standard form.

If log2(x+y)=log3(x−y)=log 25log 0.2, find the values of x and y.

Find the perpendicular distance of the following points from X-axis: A) (-3,-2) B) (2,0) C) (1,8)

Find the value of A to make the fraction onthe right hand side equivalent to 34

Question 123A student used the proportion n100=532 to find 5 % of 32. What did the student do wrong ?

Find the volume of a sphere whose surface area is 154 cm2.

Question 4AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ∠A &gt; ∠C and ∠B &gt; ∠D.

What is the range in the following numbers: 19, 21, 18, 17, 18, 22, 46

If the sides of a traingle are a, b and c, then what is the perimeter of the triangles?

How to draw a circle with three non collinear points?

Which of the following are examples of the null set:(i) Set of odd natural numbers divisible by 2(ii) Set of even prime numbers(iii) {x:x is a natural number, x&lt;5 and x&gt;7}(iv) {y:y is a point common to any two parallel lines}

Given : log xlog y=32 and log (xy)=5; find the values of x and y.

Draw the graph of the equation, 3x + 2y = 6. Find the coordinates of the point where the graph cuts the y - axis.

In a quadrilateral PQRS, the angles P, Q, R and S are in the ratio 2 : 3 : 5 : 5. The measures of each angle are:

In a clock, the hour hand is at 6, the minute hand at 12 and the second hand somewhere between 8 and 9. If the angle made by second hand and hour hand is 73∘, what is the angle(in degrees) between the minute hand and second hand? __

Question 1 (iv) Fill in the blanks using the correct word in the given bracket. (iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are_and (b) their corresponding sides are_.(equal, proportional)

Question 4AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ∠A > ∠C and ∠B > ∠D.

Which of the following are examples of the null set:(i) Set of odd natural numbers divisible by 2(ii) Set of even prime numbers(iii) {x:x is a natural number, x<5 and x>7}(iv) {y:y is a point common to any two parallel lines}