25365 + Interview Questions in Mathematics Page 248 InterviewSolution

12351.	The number of days in 'W' weeks is ___ .
Answer» The number of days in 'W' weeks is ___ .

Discussion

12352.	How to construct parallelogram BATS with BA=5cm,AT=6cm,AS=6.5cm
Answer» How to construct parallelogram BATS with BA=5cm,AT=6cm,AS=6.5cm

Discussion

12353.	In the distance formula, is √(x2−x1)2+(y2−y1)2the same as which of the following?
Answer» In the distance formula, is $\sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ the same as which of the following?

Discussion

12354.	What is the average amount of money spent by Satish, if he has spent Rs.250, Rs.350, Rs.300 in 3 days?
Answer» What is the average amount of money spent by Satish, if he has spent Rs.250, Rs.350, Rs.300 in 3 days?

Discussion

12355.	Show that the point (2a, 4a), (2a, 6a) and (2a + root 3, 5a) are the vertices of an equilateral triangle.
Answer» Show that the point (2a, 4a), (2a, 6a) and (2a + root 3, 5a) are the vertices of an equilateral triangle.

Discussion

12356.	Question 41In the question given below, fill in the blank to make the statement true:(x+a)(x+b)=x2+(a+b)x+ ___
Answer» Question 41 In the question given below, fill in the blank to make the statement true: $(x + a) (x + b) = x^{2} + (a + b) x +$ ___

Discussion

12357.	5604(73/146)/100
Answer» 5604(73/146)/100

Discussion

12358.	Four alternative options are given for each of the following statements. Select the correct option. In inclusive form, the actual upper limit and lower limit of class interval (0 - 4) are: A. −0.5 & 3.5 B. 0.5 & 4.5 C. −1 & 5 D. 1 & 5
Answer» Four alternative options are given for each of the following statements. Select the correct option. In inclusive form, the actual upper limit and lower limit of class interval (0 - 4) are: A. −0.5 & 3.5 B. 0.5 & 4.5 C. −1 & 5 D. 1 & 5

12358.

Four alternative options are given for each of the following statements. Select the correct option. In inclusive form, the actual upper limit and lower limit of class interval (0 - 4) are: A. −0.5 & 3.5 B. 0.5 & 4.5 C. −1 & 5 D. 1 & 5

Answer»

Four alternative options are given for each of the following statements. Select the correct option.

In inclusive form, the actual upper limit and lower limit of class interval (0 - 4) are:

A. −0.5 & 3.5

B. 0.5 & 4.5

C. −1 & 5

D. 1 & 5

Discussion

12359.	∫ x\sqrt{x^2-b^2}d
Answer» ∫ x\sqrt{x^2-b^2}d

Discussion

12360.	If with prove that
Answer» If with prove that

Discussion

12361.	ABCD is a rhombus, ∠ADC=53∘. Diagonals AC and BD intersect at O. Find ∠DAO. [3 MARKS]
Answer» ABCD is a rhombus, $∠ A D C = 53^{\circ}$ . Diagonals AC and BD intersect at O. Find $∠ D A O$ . [3 MARKS]

Discussion

12362.	In the given figure, AB∥DE, ∠A=43∘ and ∠BDE=57∘. The value of ∠x is
Answer» In the given figure, $A B ∥ D E, ∠ A = 43^{\circ}$ and $∠ B D E = 57^{\circ} .$ The value of $∠ x$ is

12362.

In the given figure, AB∥DE, ∠A=43∘ and ∠BDE=57∘. The value of ∠x is

Answer»

In the given figure, $A B ∥ D E, ∠ A = 43^{\circ}$ and $∠ B D E = 57^{\circ} .$ The value of $∠ x$ is

Discussion

12363.	Question 3Find the square roots of 100 and 169 by the method of repeated subtraction.
Answer» Question 3 Find the square roots of 100 and 169 by the method of repeated subtraction.

Discussion

12364.	Question 5 (ii)Vasudevan invested Rs 60,000 at an interest rate of 12% per annum compounded half yearly. What amount would he get:(ii) After 1 year?
Answer» Question 5 (ii) Vasudevan invested Rs 60,000 at an interest rate of 12% per annum compounded half yearly. What amount would he get: (ii) After 1 year?

Discussion

12365.	If x > y and z < 0, then –xz _______ –yz.
Answer» If x > y and z < 0, then –xz _______ –yz.

Discussion

12366.	Two students X and Y have to do their experiment on plotting the temperature-time graph for a hot body as it cools to room temperature. They do their experiments in the same lab, using completely identical apparatus, take equal amounts of tap water heated up to the same temperature, start their observations simultaneously and note the temperature values at identically spaced intervals of time. Their temperature-time graphs, plotted on a given graph paper, with the same give choices of scales along the axis, are however, as shown :The following could be the reason for this difference :(A) Use of an overhead fan by student X.(B) Use of an overhead fan by student Y.(C) Less frequent stirring of water by student X.(D) Less frequent stirring of water by student Y.The most likely reason is :(1) A(2) B(3) C(4) D
Answer» Two students X and Y have to do their experiment on plotting the temperature-time graph for a hot body as it cools to room temperature. They do their experiments in the same lab, using completely identical apparatus, take equal amounts of tap water heated up to the same temperature, start their observations simultaneously and note the temperature values at identically spaced intervals of time. Their temperature-time graphs, plotted on a given graph paper, with the same give choices of scales along the axis, are however, as shown : The following could be the reason for this difference : (A) Use of an overhead fan by student X. (B) Use of an overhead fan by student Y. (C) Less frequent stirring of water by student X. (D) Less frequent stirring of water by student Y. The most likely reason is : (1) A (2) B (3) C (4) D

Discussion

12367.	Question 1Find x in the following figures:
Answer» Question 1 Find x in the following figures:

Discussion

12368.	Equation of a circle whose centre is origin and radius is equal to the distance between the lines x = 1 and x = -1 is
Answer» Equation of a circle whose centre is origin and radius is equal to the distance between the lines x = 1 and x = -1 is

Discussion

12369.	Q) Factorize x⁴ + x Q) Factorize (m+2n)² + 101(m+2n) + 100
Answer» Q) Factorize x⁴ + x Q) Factorize (m+2n)² + 101(m+2n) + 100

Discussion

12370.	A car Is travelling at the average speed of 50 km/hr. How much distance would it travel in 12 minutes.
Answer» A car Is travelling at the average speed of $50 k m / h r$ . How much distance would it travel in $12$ minutes.

Discussion

12371.	Prime factorization of 343 is _____.
Answer» Prime factorization of 343 is _____.

Discussion

12372.	In the given figure, AL\|\|DC, E is mid point of BC. Show that ΔEBL≅ΔECD
Answer» In the given figure, $A L \| \| D C$ , $E$ is mid point of $B C$ . Show that $Δ E B L ≅ Δ E C D$

Discussion

12373.	To open the treasure box, the following expression needs to be solved:1.53×1071.8×103The value of the expression is .
Answer» To open the treasure box, the following expression needs to be solved: $\frac{1.53 \times 10^{7}}{1.8 \times 10^{3}}$ The value of the expression is .

Discussion

12374.	Rita has 5 copies of a book. She dogears 4 pages in each copy. How many pages are dogeared in all the copies?20
Answer» Rita has 5 copies of a book. She dogears 4 pages in each copy. How many pages are dogeared in all the copies? 20

Discussion

12375.	Segment of a circle is the region between an arc and of the circle.
Answer» Segment of a circle is the region between an arc and of the circle.

Discussion

12376.	Express (3×102)+(2×101)+(9×100)+(2×10−1)+(5×10−2) as a numeral.
Answer» Express $(3 \times 10^{2}) + (2 \times 10^{1}) + (9 \times 10^{0}) + (2 \times 10^{- 1}) + (5 \times 10^{- 2})$ as a numeral.

Discussion

12377.	Question 3The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
Answer» Question 3 The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

Discussion

12378.	The missing value in the following figure is
Answer» The missing value in the following figure is

Discussion

12379.	By what number should (3raised to -2)be multiplied so that the product may be equal to (-5raised to -1)
Answer» By what number should (3raised to -2)be multiplied so that the product may be equal to (-5raised to -1)

Discussion

12380.	the length of a room is double of its breadth. the area of four walls is 162m sq. if the height of the room is 4 m find its volume
Answer» the length of a room is double of its breadth. the area of four walls is 162m sq. if the height of the room is 4 m find its volume

Discussion

12381.	What is the result if a monomial is multiplied by a monomial?
Answer» What is the result if a monomial is multiplied by a monomial?

Discussion

12382.	Prikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube ?
Answer» Prikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube ?

Discussion

12383.

The following data were acquired in a study of diabetic patients. Ages 10-20 20-30 30-40 40-50 50-60 No. of patients 7 11 19 9 1 Construct a frequency polygon for the data given.

Answer»

The following data were acquired in a study of diabetic patients.

Ages	10-20	20-30	30-40	40-50	50-60
No. of patients	7	11	19	9	1

Construct a frequency polygon for the data given.

Discussion

12384.	Factorise: 2x2+x−45
Answer» Factorise: $2 x^{2} + x - 45$

12384.

Factorise: 2x2+x−45

Answer»

Factorise:

$2 x^{2} + x - 45$

Discussion

12385.	How to find squares of the numbers lying between 75 to 100?
Answer» How to find squares of the numbers lying between 75 to 100?

Discussion

12386.	30. What is herons formula
Answer» 30. What is herons formula

Discussion

12387.	Convert the following ratios into percentages..(i) 37 : 500 (ii) 58 (iii) 2230 (iv) 516 ( v) 1441200
Answer» Convert the following ratios into percentages.. (i) 37 : 500 (ii) $\frac{5}{8}$ (iii) $\frac{22}{30}$ (iv) $\frac{5}{16}$ ( v) $\frac{144}{1200}$

Discussion

12388.	Suppose that there are two cubes, having edges 2 cm and 4cm, respectively. Find the volumes V1 and V2 of the cubes and compare them.
Answer» Suppose that there are two cubes, having edges 2 cm and 4cm, respectively. Find the volumes $V_{1}$ and $V_{2}$ of the cubes and compare them.

Discussion

12389.	In a square PQRS, diagonals bisect each other at O. Prove that ΔPOQ ≅ ΔQOR ≅ ΔROS ≅ ΔSOP.
Answer» In a square PQRS, diagonals bisect each other at O. Prove that ΔPOQ ≅ ΔQOR ≅ ΔROS ≅ ΔSOP.

Discussion

12390.	What is the volume (in m3) of the biggest possible cylindrical pipe formed by folding the sheet as shown in the figure?
Answer» What is the volume (in $m^{3}$ ) of the biggest possible cylindrical pipe formed by folding the sheet as shown in the figure?

Discussion

12391.	Factorised form of 23xy−46x+54y−108 isa) (23x+54)(y−2)b) (23x+54y)(y−2)c) (23xy+54y)(−46x−108)d) (23x+54)(y+2)
Answer» Factorised form of $23 x y - 46 x + 54 y - 108$ is a) $(23 x + 54) (y - 2)$ b) $(23 x + 54 y) (y - 2)$ c) $(23 x y + 54 y) (- 46 x - 108)$ d) $(23 x + 54) (y + 2)$

Discussion

12392.	Hello Please help me with the following Is compound interest calculated for fixed deposit account or savings account? Regards Nikita
Answer» Hello Please help me with the following Is compound interest calculated for fixed deposit account or savings account? Regards Nikita

12392.

Hello Please help me with the following Is compound interest calculated for fixed deposit account or savings account? Regards Nikita

Answer»

Hello

Please help me with the following

Is compound interest calculated for fixed deposit account or savings account?

Regards

Nikita

Discussion

12393.	The sum of the digits of a two-digit number is 7. If the number formed by interchanging the digits is less than the original number by 27, then find the original number.
Answer» The sum of the digits of a two-digit number is 7. If the number formed by interchanging the digits is less than the original number by 27, then find the original number.

Discussion

12394.	Represent these points on a graph paper: (3, 5), (2, 3), (1, 1), (-1, -3),(-2, -5), (-3, -7). Also show that when we join these points we get a straight line.
Answer» Represent these points on a graph paper: (3, 5), (2, 3), (1, 1), (-1, -3),(-2, -5), (-3, -7). Also show that when we join these points we get a straight line.

Discussion

12395.	Evaluate using the identity :(i) (34)2; (ii) (10.2)2; (iii) (53)2; (iv) (41)2.
Answer» Evaluate using the identity : (i) (34)²; (ii) (10.2)²; (iii) (53)²; (iv) (41)².

12395.

Evaluate using the identity :(i) (34)2; (ii) (10.2)2; (iii) (53)2; (iv) (41)2.

Answer»

Evaluate using the identity :

(i) (34)²; (ii) (10.2)²; (iii) (53)²; (iv) (41)².

Discussion

12396.	Find area of a trapezium whose parallel sides measure 58 cm and 42 cm, and the two equal sides measure 17 cm.750
Answer» Find area of a trapezium whose parallel sides measure 58 cm and 42 cm, and the two equal sides measure 17 cm. 750

Discussion

12397.	The value of u which satisfies 16u22u=42 is .
Answer» The value of $u$ which satisfies $\frac{16^{u}}{2^{2 u}} = 4^{2}$ is .

Discussion

12398.	Square root of 18.5 lies between:
Answer» Square root of 18.5 lies between:

Discussion

12399.	A's salary is same as 4 times B's salary. If together they earn Rs.3,750 a month, find the salary of each.
Answer» A's salary is same as 4 times B's salary. If together they earn Rs.3,750 a month, find the salary of each.

Discussion

12400.	a3+b3=
Answer» $a^{3} + b^{3} =$

Discussion

Explore topic-wise InterviewSolutions in .

The number of days in 'W' weeks is ___ .

How to construct parallelogram BATS with BA=5cm,AT=6cm,AS=6.5cm

In the distance formula, is √(x2−x1)2+(y2−y1)2the same as which of the following?

What is the average amount of money spent by Satish, if he has spent Rs.250, Rs.350, Rs.300 in 3 days?

Show that the point (2a, 4a), (2a, 6a) and (2a + root 3, 5a) are the vertices of an equilateral triangle.

Question 41In the question given below, fill in the blank to make the statement true:(x+a)(x+b)=x2+(a+b)x+ ___

560*4*(73/146)/100

Four alternative options are given for each of the following statements. Select the correct option. In inclusive form, the actual upper limit and lower limit of class interval (0 - 4) are: A. −0.5 &amp; 3.5 B. 0.5 &amp; 4.5 C. −1 &amp; 5 D. 1 &amp; 5

∫ x\sqrt{x^2-b^2}d

If with prove that

ABCD is a rhombus, ∠ADC=53∘. Diagonals AC and BD intersect at O. Find ∠DAO. [3 MARKS]

In the given figure, AB∥DE, ∠A=43∘ and ∠BDE=57∘. The value of ∠x is

Question 3Find the square roots of 100 and 169 by the method of repeated subtraction.

Question 5 (ii)Vasudevan invested Rs 60,000 at an interest rate of 12% per annum compounded half yearly. What amount would he get:(ii) After 1 year?

If x > y and z < 0, then –xz _______ –yz.

Question 1Find x in the following figures:

Equation of a circle whose centre is origin and radius is equal to the distance between the lines x = 1 and x = -1 is

Q) Factorize x⁴ + x Q) Factorize (m+2n)² + 101(m+2n) + 100

A car Is travelling at the average speed of 50 km/hr. How much distance would it travel in 12 minutes.

Prime factorization of 343 is _____.

In the given figure, AL||DC, E is mid point of BC. Show that ΔEBL≅ΔECD

To open the treasure box, the following expression needs to be solved:1.53×1071.8×103The value of the expression is .

Rita has 5 copies of a book. She dogears 4 pages in each copy. How many pages are dogeared in all the copies?20

Segment of a circle is the region between an arc and of the circle.

Express (3×102)+(2×101)+(9×100)+(2×10−1)+(5×10−2) as a numeral.

Question 3The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

The missing value in the following figure is

By what number should (3raised to -2)be multiplied so that the product may be equal to (-5raised to -1)

the length of a room is double of its breadth. the area of four walls is 162m sq. if the height of the room is 4 m find its volume

What is the result if a monomial is multiplied by a monomial?

Prikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube ?

The following data were acquired in a study of diabetic patients. Ages 10-20 20-30 30-40 40-50 50-60 No. of patients 7 11 19 9 1 Construct a frequency polygon for the data given.

Factorise: 2x2+x−45

How to find squares of the numbers lying between 75 to 100?

30. What is herons formula

Convert the following ratios into percentages..(i) 37 : 500 (ii) 58 (iii) 2230 (iv) 516 ( v) 1441200

Suppose that there are two cubes, having edges 2 cm and 4cm, respectively. Find the volumes V1 and V2 of the cubes and compare them.

In a square PQRS, diagonals bisect each other at O. Prove that ΔPOQ ≅ ΔQOR ≅ ΔROS ≅ ΔSOP.

What is the volume (in m3) of the biggest possible cylindrical pipe formed by folding the sheet as shown in the figure?

Factorised form of 23xy−46x+54y−108 isa) (23x+54)(y−2)b) (23x+54y)(y−2)c) (23xy+54y)(−46x−108)d) (23x+54)(y+2)

Hello Please help me with the following Is compound interest calculated for fixed deposit account or savings account? Regards Nikita

The sum of the digits of a two-digit number is 7. If the number formed by interchanging the digits is less than the original number by 27, then find the original number.

Represent these points on a graph paper: (3, 5), (2, 3), (1, 1), (-1, -3),(-2, -5), (-3, -7). Also show that when we join these points we get a straight line.

Evaluate using the identity :(i) (34)2; (ii) (10.2)2; (iii) (53)2; (iv) (41)2.

Find area of a trapezium whose parallel sides measure 58 cm and 42 cm, and the two equal sides measure 17 cm.750

The value of u which satisfies 16u22u=42 is .

Square root of 18.5 lies between:

A's salary is same as 4 times B's salary. If together they earn Rs.3,750 a month, find the salary of each.

a3+b3=

5604(73/146)/100

Four alternative options are given for each of the following statements. Select the correct option. In inclusive form, the actual upper limit and lower limit of class interval (0 - 4) are: A. −0.5 & 3.5 B. 0.5 & 4.5 C. −1 & 5 D. 1 & 5