19743 + Interview Questions in Mathematics Page 152 InterviewSolution

7551.	Prove that for every positive rational number r satisfying the condition r^20) for which (r+h) ^2
Answer» Prove that for every positive rational number r satisfying the condition r^2<2 one can always find a larger rational number r+h (h>0) for which (r+h) ^2<2

Discussion

7552.	By selling a watch for rupees 1275 Jared lost 15%at what price should he sell to make 10%profit
Answer» By selling a watch for rupees 1275 Jared lost 15%at what price should he sell to make 10%profit

Discussion

7553.	12 of 427 is ___
Answer» $\frac{1}{2}$ of $4 \frac{2}{7}$ is ___

Discussion

7554.	Find the sum of 5x²+3xy−4y² and−9x²+6xy+7y².
Answer» Find the sum of $5 x ² + 3 x y - 4 y ² and - 9 x ² + 6 x y + 7 y ²$ .

Discussion

7555.	Aju starts from his home and walks x metres in north direction. After that he turns right and walks another x metres. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m2. What is x?
Answer» Aju starts from his home and walks x metres in north direction. After that he turns right and walks another x metres. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m². What is x?

Discussion

7556.	Express 0.0000987 in standard form.
Answer» Express 0.0000987 in standard form.

Discussion

7557.	A circle is made up of __ triangles.
Answer» A circle is made up of __ triangles.

Discussion

7558.	Which of the following is the simplified form of −4x10≥325?
Answer» Which of the following is the simplified form of $\frac{- 4 x}{10} \geq \frac{32}{5}$ ?

Discussion

7559.	Question 1Aftab tells his daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be." (Isn't this interesting?) Represent this situation algebraically and graphically.
Answer» Question 1 Aftab tells his daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be." (Isn't this interesting?) Represent this situation algebraically and graphically.

Discussion

7560.	In the figure below, lines RS and PQ intersect each other at point O. If ∠POR:∠ROQ = 11:13, find ∠SOQ.
Answer» In the figure below, lines RS and PQ intersect each other at point O. If ∠POR:∠ROQ = 11:13, find ∠SOQ.

7560.

In the figure below, lines RS and PQ intersect each other at point O. If ∠POR:∠ROQ = 11:13, find ∠SOQ.

Answer»

In the figure below, lines RS and PQ intersect each other at point O. If ∠POR:∠ROQ = 11:13, find ∠SOQ.

Discussion

7561.	A store purchased a flowerpot for $36 and sold them for $72. Find mark-up percentage.
Answer» A store purchased a flowerpot for $$ 36$ and sold them for $$ 72.$ Find mark-up percentage.

Discussion

7562.	8. AB, BC and CD are the three consecutivesides of a regular polygon. If BAC 15 ^° ;find,(i) each interior angle of the polygon.
Answer» 8. AB, BC and CD are the three consecutive sides of a regular polygon. If BAC 15 ^° ; find, (i) each interior angle of the polygon.

Discussion

7563.	If 2:9::x:18, then find the value of x.
Answer» If $2 : 9 :: x : 18,$ then find the value of $x .$

Discussion

7564.	Which of the following equation is a linear equation of the first degree?
Answer» Which of the following equation is a linear equation of the first degree?

Discussion

7565.	how to calculate 58 × 10^-15 + 45 × 10^-18
Answer» how to calculate 58 × 10^-15 + 45 × 10^-18

Discussion

7566.	The breadth of a rectangle is 9 cm less than it's length. If the ratio between the length and the breadth is 5 : 2 , then the breadth of the rectangle is
Answer» The breadth of a rectangle is 9 cm less than it's length. If the ratio between the length and the breadth is 5 : 2 , then the breadth of the rectangle is

Discussion

7567.	The fraction 910 in decimal form is(a) 0.09(b) 9.1(c) 1.9(d) 0.9
Answer» The fraction $\frac{9}{10}$ in decimal form is (a) 0.09 (b) 9.1 (c) 1.9 (d) 0.9

Discussion

7568.	Why is it not possible to construct a triangle with sides 3 cm, 4 cm and 8 cm?
Answer» Why is it not possible to construct a triangle with sides 3 cm, 4 cm and 8 cm?

Discussion

7569.	14. Find the rank of banana in dictionary
Answer» 14. Find the rank of banana in dictionary

Discussion

7570.	Multiply the binomials: y-8 and 3y-4
Answer» Multiply the binomials: $(y - 8)$ and $(3 y - 4)$

Discussion

7571.	Can a perpendicular bisector be an altitude of a triangle? Answer in Yes or No.
Answer» Can a perpendicular bisector be an altitude of a triangle? Answer in Yes or No.

Discussion

7572.	Which one of the following is not equivalent to p ↔ q ?
Answer» Which one of the following is not equivalent to p $\leftrightarrow$ q ?

Discussion

7573.	8/27)–²/3×(4/9)³/2
Answer» 8/27)–²/3×(4/9)³/2

Discussion

7574.	What should be subtracted from 3xz−4y+5xy+20 to obtain −x−y+6xy+5xz+20?
Answer» What should be subtracted from $3 x z - 4 y + 5 x y + 20$ to obtain $- x - y + 6 x y + 5 x z + 20$ ?

Discussion

7575.	There is a national highway running from Bangalore to Chennai. Goutham takes a shortcut, i.e. a straight left cut after some distance so that he can reach Chennai at the earliest possible. (At an angle of 40o). Can you find the unknown angle shown in the figure (in degrees)? __
Answer» There is a national highway running from Bangalore to Chennai. Goutham takes a shortcut, i.e. a straight left cut after some distance so that he can reach Chennai at the earliest possible. (At an angle of 40^o). Can you find the unknown angle shown in the figure (in degrees)? __

7575.

There is a national highway running from Bangalore to Chennai. Goutham takes a shortcut, i.e. a straight left cut after some distance so that he can reach Chennai at the earliest possible. (At an angle of 40o). Can you find the unknown angle shown in the figure (in degrees)? __

Answer»

There is a national highway running from Bangalore to Chennai. Goutham takes a shortcut, i.e. a straight left cut after some distance so that he can reach Chennai at the earliest possible. (At an angle of 40^o). Can you find the unknown angle shown in the figure (in degrees)?

__

Discussion

7576.	Question 8In a solid if F = V = 5, then the number of edges in this shape is (a) 6(b) 4(c) 8(d) 2
Answer» Question 8 In a solid if F = V = 5, then the number of edges in this shape is (a) 6 (b) 4 (c) 8 (d) 2

Discussion

7577.	Find the area of the smaller regionbounded by the ellipse andthe line
Answer» Find the area of the smaller region bounded by the ellipse and the line

Discussion

7578.	Which of these are examples of inverse proportions?
Answer» Which of these are examples of inverse proportions?

Discussion

7579.	Solve the following:The amounts collected by cheque in a Rural Bank from Monday to Saturday are Rs. 2,051.80; Rs. 4,505.95; Rs. 8,070.60; Rs. 12,050.40; Rs. 6,500 and Rs. 5,063.25. Find the total amount collected.
Answer» Solve the following: The amounts collected by cheque in a Rural Bank from Monday to Saturday are Rs. 2,051.80; Rs. 4,505.95; Rs. 8,070.60; Rs. 12,050.40; Rs. 6,500 and Rs. 5,063.25. Find the total amount collected.

7579.

Solve the following:The amounts collected by cheque in a Rural Bank from Monday to Saturday are Rs. 2,051.80; Rs. 4,505.95; Rs. 8,070.60; Rs. 12,050.40; Rs. 6,500 and Rs. 5,063.25. Find the total amount collected.

Answer»

Solve the following:

The amounts collected by cheque in a Rural Bank from Monday to Saturday are Rs. 2,051.80; Rs. 4,505.95; Rs. 8,070.60; Rs. 12,050.40; Rs. 6,500 and Rs. 5,063.25. Find the total amount collected.

Discussion

7580.	explain Fibonacci Numbers
Answer» explain Fibonacci Numbers

Discussion

7581.	Ravi bought 10 pencil boxes. Out of which 7 boxes have 9 pencils , remaining boxes have 8 pencils. What is the total number of pencils he bought?
Answer» Ravi bought 10 pencil boxes. Out of which 7 boxes have 9 pencils , remaining boxes have 8 pencils. What is the total number of pencils he bought?

Discussion

7582.	5. In a Δ ABC, angle C is an obtuse angle. AD perpendicular BC and AB = AC + 3BC. prove that BC = CD.
Answer» 5. In a Δ ABC, angle C is an obtuse angle. AD perpendicular BC and AB = AC + 3BC. prove that BC = CD.

Discussion

7583.	If the sides of △ABC are AB = 5 cm, BC = 4 cm and CA = 3 cm, and sides of △PQR are PQ = 4 cm, QR = 3 cm and RP = 5 cm, then _______.
Answer» If the sides of $△ A B C$ are AB = 5 cm, BC = 4 cm and CA = 3 cm, and sides of $△ P Q R$ are PQ = 4 cm, QR = 3 cm and RP = 5 cm, then _______.

Discussion

7584.	Shambhavi has 9 pieces of cake and she has to distribute these pieces equally among 4 girls.What will be the share of each girl rounding off to the nearest tenths?
Answer» Shambhavi has 9 pieces of cake and she has to distribute these pieces equally among 4 girls.What will be the share of each girl rounding off to the nearest tenths?

Discussion

7585.	Question 79(iii) Study the double bar graph shown given below and answer the question that follows: For how many months was the minimum temperature in the year 2008 greater than that of the year 2009? Name those months.
Answer» Question 79(iii) Study the double bar graph shown given below and answer the question that follows: For how many months was the minimum temperature in the year 2008 greater than that of the year 2009? Name those months.

Discussion

7586.	From the given figure, find the value of a & b respectively.
Answer» From the given figure, find the value of a & b respectively.

7586.

From the given figure, find the value of a & b respectively.

Answer»

From the given figure, find the value of a & b respectively.

Discussion

7587.	Ravi had 56th of a cake with him. He ate 23rd of it. What part of the cake did he eat ?
Answer» Ravi had ${\frac{5}{6}}^{th}$ of a cake with him. He ate ${\frac{2}{3}}^{rd}$ of it. What part of the cake did he eat ?

Discussion

7588.	ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, R and S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?
Answer» ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, R and S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?

Discussion

7589.	What is the probability of rolling a fair die and getting a number greater than 2?
Answer» What is the probability of rolling a fair die and getting a number greater than 2?

Discussion

7590.	A card is drawn at random from a deck of playing cards. What is the probability of drawing:
Answer» A card is drawn at random from a deck of playing cards. What is the probability of drawing:

Discussion

7591.	If the value of x is 2, then the value of A=12x3−5x2+4 is
Answer» If the value of $x$ is $2$ , then the value of $A = 12 x^{3} - 5 x^{2} + 4$ is

Discussion

7592.	Given that the diameters of Sun and Earth are 1.4×109 and 1.27×107. Which option gives the correct comparison between diameters of Sun and Earth?
Answer» Given that the diameters of Sun and Earth are $1.4 \times 10^{9} a n d 1.27 \times 10^{7}$ . Which option gives the correct comparison between diameters of Sun and Earth?

Discussion

7593.	abc + bca + cab is a ___.
Answer» abc + bca + cab is a ___.

Discussion

7594.	In a ΔABC,s−a11=s−b12=s−c13, then tan2(A2)=
Answer» In a $Δ A B C, \frac{s - a}{11} = \frac{s - b}{12} = \frac{s - c}{13},$ then ${tan}^{2} (\frac{A}{2}) =$

Discussion

7595.	Lily takes 3 hours to travel from place A to place B at the speed of 60 miles per hour. She takes 2 hours to travel from place B to C with a speed increased by 50 %. Find the average speed from place A to C.
Answer» Lily takes 3 hours to travel from place A to place B at the speed of 60 miles per hour. She takes 2 hours to travel from place B to C with a speed increased by 50 %. Find the average speed from place A to C.

Discussion

7596.	Question 11Determine k, so that k2+4k+8,2k2+3k+6 and 3k2+4k+4 are three consecutive terms of an AP.
Answer» Question 11 Determine k, so that $k^{2} + 4 k + 8, 2 k^{2} + 3 k + 6 a n d 3 k^{2} + 4 k + 4$ are three consecutive terms of an AP.

Discussion

7597.	In a university examination, Sam scored 91% for Mathematics, 82% for Chemistry and 95% Physics. This data can be best represented by
Answer» In a university examination, Sam scored 91% for Mathematics, 82% for Chemistry and 95% Physics. This data can be best represented by

Discussion

7598.	The median in the numbers 19, 21, 18, 17, 18, 22, 46 is
Answer» The median in the numbers 19, 21, 18, 17, 18, 22, 46 is

Discussion

7599.	-7/12 ÷ -3/14
Answer» -7/12 ÷ -3/14

Discussion

7600.	Shazlitook a wire of length 44 cm and bent it into the shape of a circle.Find the radius of that circle. Also find its area. If the same wireis bent into the shape of a square, what will be the length of eachof its sides? Which figure encloses more area, the circle or thesquare? (Takeπ)
Answer» Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Takeπ)

Discussion

Explore topic-wise InterviewSolutions in .

Prove that for every positive rational number r satisfying the condition r^20) for which (r+h) ^2

By selling a watch for rupees 1275 Jared lost 15%at what price should he sell to make 10%profit

12 of 427 is ___

Find the sum of 5x²+3xy−4y² and−9x²+6xy+7y².

Aju starts from his home and walks x metres in north direction. After that he turns right and walks another x metres. He meets his friends and then reaches back home by the shortest possible path. The area enclosed by the path taken by Aju for the whole journey is 50 m2. What is x?

Express 0.0000987 in standard form.

A circle is made up of __ triangles.

Which of the following is the simplified form of −4x10≥325?

Question 1Aftab tells his daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be." (Isn't this interesting?) Represent this situation algebraically and graphically.

In the figure below, lines RS and PQ intersect each other at point O. If ∠POR:∠ROQ = 11:13, find ∠SOQ.

A store purchased a flowerpot for $36 and sold them for $72. Find mark-up percentage.

8. AB, BC and CD are the three consecutivesides of a regular polygon. If BAC 15 ^° ;find,(i) each interior angle of the polygon.

If 2:9::x:18, then find the value of x.

Which of the following equation is a linear equation of the first degree?

how to calculate 58 × 10^-15 + 45 × 10^-18

The breadth of a rectangle is 9 cm less than it's length. If the ratio between the length and the breadth is 5 : 2 , then the breadth of the rectangle is

The fraction 910 in decimal form is(a) 0.09(b) 9.1(c) 1.9(d) 0.9

Why is it not possible to construct a triangle with sides 3 cm, 4 cm and 8 cm?

14. Find the rank of banana in dictionary

Multiply the binomials: y-8 and 3y-4

Can a perpendicular bisector be an altitude of a triangle? Answer in Yes or No.

Which one of the following is not equivalent to p ↔ q ?

8/27)–²/3×(4/9)³/2

What should be subtracted from 3xz−4y+5xy+20 to obtain −x−y+6xy+5xz+20?

There is a national highway running from Bangalore to Chennai. Goutham takes a shortcut, i.e. a straight left cut after some distance so that he can reach Chennai at the earliest possible. (At an angle of 40o). Can you find the unknown angle shown in the figure (in degrees)? __

Question 8In a solid if F = V = 5, then the number of edges in this shape is (a) 6(b) 4(c) 8(d) 2

Find the area of the smaller regionbounded by the ellipse andthe line

Which of these are examples of inverse proportions?

Solve the following:The amounts collected by cheque in a Rural Bank from Monday to Saturday are Rs. 2,051.80; Rs. 4,505.95; Rs. 8,070.60; Rs. 12,050.40; Rs. 6,500 and Rs. 5,063.25. Find the total amount collected.

explain Fibonacci Numbers

Ravi bought 10 pencil boxes. Out of which 7 boxes have 9 pencils , remaining boxes have 8 pencils. What is the total number of pencils he bought?

5. In a Δ ABC, angle C is an obtuse angle. AD perpendicular BC and AB = AC + 3BC. prove that BC = CD.

If the sides of △ABC are AB = 5 cm, BC = 4 cm and CA = 3 cm, and sides of △PQR are PQ = 4 cm, QR = 3 cm and RP = 5 cm, then _______.

Shambhavi has 9 pieces of cake and she has to distribute these pieces equally among 4 girls.What will be the share of each girl rounding off to the nearest tenths?

Question 79(iii) Study the double bar graph shown given below and answer the question that follows: For how many months was the minimum temperature in the year 2008 greater than that of the year 2009? Name those months.

From the given figure, find the value of a &amp; b respectively.

Ravi had 56th of a cake with him. He ate 23rd of it. What part of the cake did he eat ?

ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, R and S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?

What is the probability of rolling a fair die and getting a number greater than 2?

A card is drawn at random from a deck of playing cards. What is the probability of drawing:

If the value of x is 2, then the value of A=12x3−5x2+4 is

Given that the diameters of Sun and Earth are 1.4×109 and 1.27×107. Which option gives the correct comparison between diameters of Sun and Earth?

abc + bca + cab is a ___.

In a ΔABC,s−a11=s−b12=s−c13, then tan2(A2)=

Lily takes 3 hours to travel from place A to place B at the speed of 60 miles per hour. She takes 2 hours to travel from place B to C with a speed increased by 50 %. Find the average speed from place A to C.

Question 11Determine k, so that k2+4k+8,2k2+3k+6 and 3k2+4k+4 are three consecutive terms of an AP.

In a university examination, Sam scored 91% for Mathematics, 82% for Chemistry and 95% Physics. This data can be best represented by

The median in the numbers 19, 21, 18, 17, 18, 22, 46 is

-7/12 ÷ -3/14

Shazlitook a wire of length 44 cm and bent it into the shape of a circle.Find the radius of that circle. Also find its area. If the same wireis bent into the shape of a square, what will be the length of eachof its sides? Which figure encloses more area, the circle or thesquare? (Takeπ)

From the given figure, find the value of a & b respectively.