25365 + Interview Questions in Mathematics Page 24 InterviewSolution

1151.	The diagonal of quadrilateral bisect each other at right angle. State true or false.
Answer» The diagonal of quadrilateral bisect each other at right angle. State true or false.

Discussion

1152.	Find two numbers such that one of them exceeds the other by 9 and their sum is 81.
Answer» Find two numbers such that one of them exceeds the other by 9 and their sum is 81.

Discussion

1153.	The mean monthly salary of 10 people is ₹ 2790 . One more person whose monthly salary is ₹ 4000 has also been taken into consideration. Find the mean monthly salary of all the 11 people
Answer» The mean monthly salary of 10 people is ₹ 2790 . One more person whose monthly salary is ₹ 4000 has also been taken into consideration. Find the mean monthly salary of all the 11 people

Discussion

1154.	A certain sum amounts to Rs. 9440 in 3 years and to Rs. 10400 in 5 years. Find sum and rate percent.
Answer» A certain sum amounts to $R s . 9440$ in $3$ years and to $R s . 10400$ in $5$ years. Find sum and rate percent.

Discussion

1155.	How many digits will there be in the square root of 729?
Answer» How many digits will there be in the square root of 729?

Discussion

1156.	The volume of a cylinder which exactly fits in a cube of side a is ___
Answer» The volume of a cylinder which exactly fits in a cube of side a is ___

Discussion

1157.	The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.
Answer» The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.

Discussion

1158.	The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks and cross each other. The speed of one of the them is greater than that of the other by 5 km/hr. If the distance between two trains after 2 hours of their start is 30 km. find the speed of each train.
Answer» The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks and cross each other. The speed of one of the them is greater than that of the other by 5 km/hr. If the distance between two trains after 2 hours of their start is 30 km. find the speed of each train.

Discussion

1159.	In the given figure, bisector of ∠BAC intersects side BC at point D. Prove that AB > BD
Answer» In the given figure, bisector of $∠$ BAC intersects side BC at point D. Prove that AB > BD

Discussion

1160.	Calculate the area of a face of a cube if its volume is 216 cm3.
Answer» Calculate the area of a face of a cube if its volume is 216 $c m^{3}$ .

Discussion

1161.	Point R is 10 m north of point A. Point K is exactly in the middle of the points R and A. Point N is 7 m east of point A. Point M is 7 east of point K. Point S is 6 m north of point M. What is the distance between the points S and N?
Answer» Point R is 10 m north of point A. Point K is exactly in the middle of the points R and A. Point N is 7 m east of point A. Point M is 7 east of point K. Point S is 6 m north of point M. What is the distance between the points S and N?

Discussion

1162.	Question 3(iii) Find the value of: (12)−2+(13)−2+(14)−2
Answer» Question 3(iii) Find the value of: ${(\frac{1}{2})}^{- 2} + {(\frac{1}{3})}^{- 2} + {(\frac{1}{4})}^{- 2}$

1162.

Question 3(iii) Find the value of: (12)−2+(13)−2+(14)−2

Answer»

Question 3(iii)
Find the value of:

${(\frac{1}{2})}^{- 2} + {(\frac{1}{3})}^{- 2} + {(\frac{1}{4})}^{- 2}$

Discussion

1163.	The numbers of absentees in a class were recorded during a week. On which day, maximum students were absent?
Answer» The numbers of absentees in a class were recorded during a week. On which day, maximum students were absent?

Discussion

1164.	In a school, 46 students of 9th standard, were told to measure the lengths of the pencils in their compass-boxes in centimeters. The data collected was as follows.16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distribution table.
Answer» In a school, 46 students of 9th standard, were told to measure the lengths of the pencils in their compass-boxes in centimeters. The data collected was as follows. 16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10 By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distribution table.

1164.

In a school, 46 students of 9th standard, were told to measure the lengths of the pencils in their compass-boxes in centimeters. The data collected was as follows.16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distribution table.

Answer» In a school, 46 students of 9th standard, were told to measure the lengths of the pencils in their compass-boxes in centimeters. The data collected was as follows.

16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10

By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distribution table.

Discussion

1165.	The unit digit of the cube root of the number 2197 is ____.
Answer» The unit digit of the cube root of the number 2197 is ____.

Discussion

1166.	1. The intrior angles of convex are in arithmetic progression. The smallest angle is 120and the common difference is5.find number of sides.
Answer» 1. The intrior angles of convex are in arithmetic progression. The smallest angle is 120and the common difference is5.find number of sides.

Discussion

1167.	Question 110(i)Verifty the property x×(y+z)=x×y+x×z of rational numbers by takingx=−12,y=34 and z=14
Answer» Question 110(i) Verifty the property $x \times (y + z) = x \times y + x \times z$ of rational numbers by taking $x = \frac{- 1}{2}, y = \frac{3}{4}$ and $z = \frac{1}{4}$

Discussion

1168.	The amount given by SAI to the Volleyball team is
Answer» The amount given by SAI to the Volleyball team is

Discussion

1169.	Find the length of a side of a square,whose area is equal to the area of the rectangle with sides 240 m and 70 m.
Answer» Find the length of a side of a square,whose area is equal to the area of the rectangle with sides 240 m and 70 m.

Discussion

1170.	Find the simple interest on ₹ 1300 from December 23, 2002, to May 18, 2003, at an interest rate of 712%. per annum.
Answer» Find the simple interest on ₹ 1300 from December 23, 2002, to May 18, 2003, at an interest rate of $7 \frac{1}{2} % .$ per annum.

Discussion

1171.	Question 2 (i) The following number is obviously not a perfect square. Give reasons. 1057
Answer» Question 2 (i) The following number is obviously not a perfect square. Give reasons. 1057

1171.

Question 2 (i) The following number is obviously not a perfect square. Give reasons. 1057

Answer»

Question 2 (i)
The following number is obviously not a perfect square. Give reasons.

1057

Discussion

1172.	The collection of intelligent students in a class is ______.
Answer» The collection of intelligent students in a class is ______.

Discussion

1173.	On selling a watch for ₹250, a shopkeeper loses 10% . For how much he should sell so as to gain 10% .
Answer» On selling a watch for ₹250, a shopkeeper loses 10% . For how much he should sell so as to gain 10% .

Discussion

1174.	Which of the following could be a perfect square?
Answer» Which of the following could be a perfect square?

Discussion

1175.	Q. The population of a city in the year 2019 was 5 lakh, and kept on growing by 10% every year. Then how much will be the population of the city in the year 2021?
Answer» Q. The population of a city in the year 2019 was 5 lakh, and kept on growing by 10% every year. Then how much will be the population of the city in the year 2021?

Discussion

1176.	Locate √2 and √5 on the no. line .
Answer» Locate √2 and √5 on the no. line .

Discussion

1177.	In the adjoining figure, find AC.
Answer» In the adjoining figure, find AC.

Discussion

1178.	Are the lengths of sides of various rectangles with the same perimeters in inverse proportion?
Answer» Are the lengths of sides of various rectangles with the same perimeters in inverse proportion?

Discussion

1179.	Two integers x and y are chosen with replacement out of the set {0,1,2,3,....,10}. Then the probability that \|x−y\|>5 is
Answer» Two integers $x$ and $y$ are chosen with replacement out of the set ${0, 1, 2, 3, . . . ., 10} .$ Then the probability that $\| x - y \| > 5$ is

Discussion

1180.	Question 90 (iv)Factorise the following, using the identity, a2−2ab+b2=(a−b)2.p2−2p+1
Answer» Question 90 (iv) Factorise the following, using the identity, $a^{2} - 2 a b + b^{2} = (a - b)^{2}$ . $p^{2} - 2 p + 1$

Discussion

1181.	Show that the following numbers are not perfect squares: (i) 9327 (ii) 4058 (iii) 22453 (iv) 743522
Answer» Show that the following numbers are not perfect squares: (i) 9327 (ii) 4058 (iii) 22453 (iv) 743522

Discussion

1182.	What is the compound interest earned on a principal of ₹ 5000 at the rate of 20% p.a in 2 years?
Answer» What is the compound interest earned on a principal of ₹ 5000 at the rate of 20% p.a in 2 years?

Discussion

1183.	Harry measured the temperature at 2 p.m. at the same spot in his garden and recorded his results to the nearest degree (°F) for each day of the year (365 days). On approximately what percent of the days was the temperature above 40°F but less than 70°F?
Answer» Harry measured the temperature at 2 p.m. at the same spot in his garden and recorded his results to the nearest degree (°F) for each day of the year (365 days). On approximately what percent of the days was the temperature above 40°F but less than 70°F?

1183.

Harry measured the temperature at 2 p.m. at the same spot in his garden and recorded his results to the nearest degree (°F) for each day of the year (365 days). On approximately what percent of the days was the temperature above 40°F but less than 70°F?

Answer»

Harry measured the temperature at 2 p.m. at the same spot in his garden and recorded his results to the nearest degree (°F) for each day of the year (365 days).

On approximately what percent of the days was the temperature above 40°F but less than 70°F?

Discussion

1184.	Factorise : 4a2−9
Answer» Factorise : $4 a^{2} - 9$

1184.

Factorise : 4a2−9

Answer»

Factorise :

$4 a^{2} - 9$

Discussion

1185.	Question 10 Which graph of the following represents the table below?
Answer» Question 10 Which graph of the following represents the table below?

Discussion

1186.	Find the area bounded by the ellipse x2a2+y2b2=1 and cordinates x=0and x=ae where b2=a2(1-e2 )and e
Answer» Find the area bounded by the ellipse x2a2+y2b2=1 and cordinates x=0and x=ae where b2=a2(1-e2 )and e<1

Discussion

1187.	If the four points (0, –1), (6, 7), (–2, 3) and (8, 3) are the vertices of a rec†an gle, then its area
Answer» If the four points (0, –1), (6, 7), (–2, 3) and (8, 3) are the vertices of a rec†an gle, then its area

Discussion

1188.	The ratio of two sides of a parallelogram is as 3:5, and its perimeter is 48 m, then the sides of the parallelogram are
Answer» The ratio of two sides of a parallelogram is as 3:5, and its perimeter is 48 m, then the sides of the parallelogram are

Discussion

1189.	During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at ₹1,450 and two shirts marked at ₹850 each?
Answer» During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at ₹1,450 and two shirts marked at ₹850 each?

Discussion

1190.	The value of (7xy+3x)2−(7xy−3x)2 is ____________.
Answer» The value of $(7 x y + 3 x)^{2} - (7 x y - 3 x)^{2}$ is ____________.

Discussion

1191.	For spinning the given spinner, what are the odds in favor of spinning a blue?
Answer» For spinning the given spinner, what are the odds in favor of spinning a blue?

Discussion

1192.	Question 4 (ii)(ii) How are pyramids and cones alike?
Answer» Question 4 (ii) (ii) How are pyramids and cones alike?

Discussion

1193.	If ABCD is a cyclic quadrilateral, then x = ___.
Answer» If ABCD is a cyclic quadrilateral, then $x$ = ___.

1193.

If ABCD is a cyclic quadrilateral, then x = ___.

Answer»

If ABCD is a cyclic quadrilateral, then $x$ = ___.

Discussion

1194.	If the median of the following data is 50, then find the value of p.ClassFrequency0 - 201020 - 40740 - 601660 - 80p80 - 10089
Answer» If the median of the following data is 50, then find the value of $p$ . $\begin{matrix} Class & Frequency 0 - 20 & 10 20 - 40 & 7 40 - 60 & 16 60 - 80 & p 80 - 100 & 8 \end{matrix}$ 9

Discussion

1195.	The length and breadth of a rectangle are in the ratio 8 : 5. The length is 10.5 centimetres more than the breadth. What are the length and breadth of the rectangle?
Answer» The length and breadth of a rectangle are in the ratio 8 : 5. The length is 10.5 centimetres more than the breadth. What are the length and breadth of the rectangle?

Discussion

1196.	\vert x^2+2x-3\vert
Answer» \vert x^2+2x-3\vert

Discussion

1197.	Let S1 be the sum of first 2n terms of an arithemetic progression. Let S2 be the sum of first 4n terms of the same arithmetic progression. If (S2−S1) is 1000 then sum of the first 6n terms of the arithmetic progression is equal to :
Answer» Let $S_{1}$ be the sum of first $2 n$ terms of an arithemetic progression. Let $S_{2}$ be the sum of first $4 n$ terms of the same arithmetic progression. If $(S_{2} - S_{1})$ is $1000$ then sum of the first $6 n$ terms of the arithmetic progression is equal to :

Discussion

1198.	Question 8One(1) is:(a) the identity for addition of rational numbers.(b) the identity for subtraction of rational numbers.(c) the identity for multiplication of rational numbers.(d) the identity for division of rational numbers.
Answer» Question 8 One(1) is: (a) the identity for addition of rational numbers. (b) the identity for subtraction of rational numbers. (c) the identity for multiplication of rational numbers. (d) the identity for division of rational numbers.

Discussion

1199.	Match the following equations.
Answer» Match the following equations.

Discussion

1200.	Find the common factor between2t, 3t2 and 4.
Answer» Find the common factor between $2 t, 3 t^{2} and 4.$

Discussion

Explore topic-wise InterviewSolutions in .

The diagonal of quadrilateral bisect each other at right angle. State true or false.

Find two numbers such that one of them exceeds the other by 9 and their sum is 81.

The mean monthly salary of 10 people is ₹ 2790 . One more person whose monthly salary is ₹ 4000 has also been taken into consideration. Find the mean monthly salary of all the 11 people

A certain sum amounts to Rs. 9440 in 3 years and to Rs. 10400 in 5 years. Find sum and rate percent.

How many digits will there be in the square root of 729?

The volume of a cylinder which exactly fits in a cube of side a is ___

The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.

In the given figure, bisector of ∠BAC intersects side BC at point D. Prove that AB > BD

Calculate the area of a face of a cube if its volume is 216 cm3.

Point R is 10 m north of point A. Point K is exactly in the middle of the points R and A. Point N is 7 m east of point A. Point M is 7 east of point K. Point S is 6 m north of point M. What is the distance between the points S and N?

Question 3(iii) Find the value of: (12)−2+(13)−2+(14)−2

The numbers of absentees in a class were recorded during a week. On which day, maximum students were absent?

The unit digit of the cube root of the number 2197 is ____.

1. The intrior angles of convex are in arithmetic progression. The smallest angle is 120and the common difference is5.find number of sides.

Question 110(i)Verifty the property x×(y+z)=x×y+x×z of rational numbers by takingx=−12,y=34 and z=14

The amount given by SAI to the Volleyball team is

Find the length of a side of a square,whose area is equal to the area of the rectangle with sides 240 m and 70 m.

Find the simple interest on ₹ 1300 from December 23, 2002, to May 18, 2003, at an interest rate of 712%. per annum.

Question 2 (i) The following number is obviously not a perfect square. Give reasons. 1057

The collection of intelligent students in a class is ______.

On selling a watch for ₹250, a shopkeeper loses 10% . For how much he should sell so as to gain 10% .

Which of the following could be a perfect square?

Q. The population of a city in the year 2019 was 5 lakh, and kept on growing by 10% every year. Then how much will be the population of the city in the year 2021?

Locate √2 and √5 on the no. line .

In the adjoining figure, find AC.

Are the lengths of sides of various rectangles with the same perimeters in inverse proportion?

Two integers x and y are chosen with replacement out of the set {0,1,2,3,....,10}. Then the probability that |x−y|&gt;5 is

Question 90 (iv)Factorise the following, using the identity, a2−2ab+b2=(a−b)2.p2−2p+1

Show that the following numbers are not perfect squares: (i) 9327 (ii) 4058 (iii) 22453 (iv) 743522

What is the compound interest earned on a principal of ₹ 5000 at the rate of 20% p.a in 2 years?

Harry measured the temperature at 2 p.m. at the same spot in his garden and recorded his results to the nearest degree (°F) for each day of the year (365 days). On approximately what percent of the days was the temperature above 40°F but less than 70°F?

Factorise : 4a2−9

Question 10 Which graph of the following represents the table below?

Find the area bounded by the ellipse x2a2+y2b2=1 and cordinates x=0and x=ae where b2=a2(1-e2 )and e

If the four points (0, –1), (6, 7), (–2, 3) and (8, 3) are the vertices of a rec†an gle, then its area

The ratio of two sides of a parallelogram is as 3:5, and its perimeter is 48 m, then the sides of the parallelogram are

During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at ₹1,450 and two shirts marked at ₹850 each?

The value of (7xy+3x)2−(7xy−3x)2 is ____________.

For spinning the given spinner, what are the odds in favor of spinning a blue?

Question 4 (ii)(ii) How are pyramids and cones alike?

If ABCD is a cyclic quadrilateral, then x = ___.

If the median of the following data is 50, then find the value of p.ClassFrequency0 - 201020 - 40740 - 601660 - 80p80 - 10089

The length and breadth of a rectangle are in the ratio 8 : 5. The length is 10.5 centimetres more than the breadth. What are the length and breadth of the rectangle?

\vert x^2+2x-3\vert

Let S1 be the sum of first 2n terms of an arithemetic progression. Let S2 be the sum of first 4n terms of the same arithmetic progression. If (S2−S1) is 1000 then sum of the first 6n terms of the arithmetic progression is equal to :

Question 8One(1) is:(a) the identity for addition of rational numbers.(b) the identity for subtraction of rational numbers.(c) the identity for multiplication of rational numbers.(d) the identity for division of rational numbers.

Match the following equations.

Find the common factor between2t, 3t2 and 4.

Two integers x and y are chosen with replacement out of the set {0,1,2,3,....,10}. Then the probability that |x−y|>5 is