25365 + Interview Questions in Mathematics Page 17 InterviewSolution

801.	A shopkeeper was selling all his items at 25% discount. During the off-season, he offered 30% discount over and above the existing discount. If Pragya bought a skirt which was marked for ₹ 1200, how much did she pay for it?
Answer» A shopkeeper was selling all his items at 25% discount. During the off-season, he offered 30% discount over and above the existing discount. If Pragya bought a skirt which was marked for ₹ 1200, how much did she pay for it?

Discussion

802.	What should be subtracted from −23 to get 56?
Answer» What should be subtracted from $\frac{- 2}{3}$ to get $\frac{5}{6}$ ?

Discussion

803.	Which of the following will be least preferred if you have to represent sales of galaxy tabs and iPhones for the past 3 years?
Answer» Which of the following will be least preferred if you have to represent sales of galaxy tabs and iPhones for the past 3 years?

Discussion

804.	The sum of numerator and denominator of a fraction is 8. If 2 is added to numerator and 3 is subtracted from denominator, the fraction becomes 52, find the original fraction.
Answer» The sum of numerator and denominator of a fraction is 8. If 2 is added to numerator and 3 is subtracted from denominator, the fraction becomes $\frac{5}{2}$ , find the original fraction.

Discussion

805.	Question 55(viii)Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow.At what time did he return home?
Answer» Question 55(viii) Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow. At what time did he return home?

Discussion

806.	The cost of an article is first increased by 20% and then decreased by 30%, find the percentage change in the cost of the article.
Answer» The cost of an article is first increased by 20% and then decreased by 30%, find the percentage change in the cost of the article.

Discussion

807.	The mode of following data is: 14, 11, 12, 13, 12, 12, 12
Answer» The mode of following data is: 14, 11, 12, 13, 12, 12, 12

807.

The mode of following data is: 14, 11, 12, 13, 12, 12, 12

Answer»

The mode of following data is:

14, 11, 12, 13, 12, 12, 12

Discussion

808.	Question 7In the following question, out of the four options, only one is correct. Write the correct answer:The reciprocal of (25)−1 is:(a) 25(b) 52(c) −52(d) −25
Answer» Question 7 In the following question, out of the four options, only one is correct. Write the correct answer: The reciprocal of ${(\frac{2}{5})}^{- 1}$ is: (a) $\frac{2}{5}$ (b) $\frac{5}{2}$ (c) $- \frac{5}{2}$ (d) $- \frac{2}{5}$

808.

Question 7In the following question, out of the four options, only one is correct. Write the correct answer:The reciprocal of (25)−1 is:(a) 25(b) 52(c) −52(d) −25

Answer»

Question 7

In the following question, out of the four options, only one is correct. Write the correct answer:

The reciprocal of ${(\frac{2}{5})}^{- 1}$ is:

(a) $\frac{2}{5}$

(b) $\frac{5}{2}$

(c) $- \frac{5}{2}$

(d) $- \frac{2}{5}$

Discussion

809.	There are four boxes A1, A2, A3 and A4. Box Ai has i cards and on each card, a number is printed. The numbers are from 1 to i. A box is selected randomly, the probability of selection of box Ai is i10 then a card is drawn. Let Ei represent the event that a card with number 'i' is drawn. Now answer the followingIf P(A3E2) is pq, then
Answer» There are four boxes $A_{1}, A_{2}, A_{3} and A_{4}$ . Box $A_{i}$ has i cards and on each card, a number is printed. The numbers are from 1 to i. A box is selected randomly, the probability of selection of box $A_{i}$ is $\frac{i}{10}$ then a card is drawn. Let $E_{i}$ represent the event that a card with number 'i' is drawn. Now answer the following If $P (\frac{A_{3}}{E_{2}}) is \frac{p}{q}$ , then

Discussion

810.	Find the smallest number that should be added to 1727 to make it divisible by 3.
Answer» Find the smallest number that should be added to 1727 to make it divisible by 3.

Discussion

811.	Rhombus is a parallelogram: justify.
Answer» Rhombus is a parallelogram: justify.

Discussion

812.	In the given figure, AB\|\|FH, DF\|\|BG, the which of the following is correct?
Answer» In the given figure, $A B \| \| F H$ , $D F \| \| B G$ , the which of the following is correct?

Discussion

813.	In the given pentagon ABCDE, prove that 2CD < Perimeter (ABCDE). [4 MARKS]
Answer» In the given pentagon ABCDE, prove that 2CD < Perimeter (ABCDE). [4 MARKS]

813.

In the given pentagon ABCDE, prove that 2CD < Perimeter (ABCDE). [4 MARKS]

Answer»

In the given pentagon ABCDE, prove that 2CD < Perimeter (ABCDE). [4 MARKS]

Discussion

814.	Simplify:(i) ; (ii) .
Answer» Simplify: (i) ; (ii) .

814.

Simplify:(i) ; (ii) .

Answer»

Simplify:

(i) ; (ii) .

Discussion

815.	The bar graph shows the favourite colours of 20 students in a class. How many liked blue than pink?
Answer» The bar graph shows the favourite colours of 20 students in a class. How many liked blue than pink?

815.

The bar graph shows the favourite colours of 20 students in a class. How many liked blue than pink?

Answer»

The bar graph shows the favourite colours of 20 students in a class. How many liked blue than pink?

Discussion

816.	The perimeter of right triangle is 36 cm. A circle inscribed in this triangle touches hypotenuse at C such that PC : CR = 2:3, then sides of PQR are
Answer» The perimeter of right triangle is 36 cm. A circle inscribed in this triangle touches hypotenuse at C such that PC : CR = 2:3, then sides of PQR are

Discussion

817.	An isosceles right triangle has area 8 cm. What's the length of its hypotenuse?
Answer» An isosceles right triangle has area 8 cm. What's the length of its hypotenuse?

Discussion

818.	Question 130 State whether the statements are True or False. A parallelogram can be constructed uniquely, if both diagonals and the angle between them is given.
Answer» Question 130 State whether the statements are True or False. A parallelogram can be constructed uniquely, if both diagonals and the angle between them is given.

Discussion

819.	Directions:- Study the following information carefully to answer the question given below. Vikas, Uday and Tushar are seated around a regular hexagonal table facing the centre. Amar, Bimla and Chetan are also seated around the same table but one of them is facing outside. Vikas is second to the left of Chetan. Uday is second to the right of Amar. Bimla is the third to the left of Tushar. Amar is seated next to Vikas. Which of the following is Vikas' position with respect to Chetan?
Answer» Directions:- Study the following information carefully to answer the question given below. Vikas, Uday and Tushar are seated around a regular hexagonal table facing the centre. Amar, Bimla and Chetan are also seated around the same table but one of them is facing outside. Vikas is second to the left of Chetan. Uday is second to the right of Amar. Bimla is the third to the left of Tushar. Amar is seated next to Vikas. Which of the following is Vikas' position with respect to Chetan?

Discussion

820.	Simplify a−ba + a+bb
Answer» Simplify $\frac{a - b}{a} + \frac{a + b}{b}$

Discussion

821.	Question 96 Solve the following: The perimeter of a rectangle is 240cm. If its length is is increased by 10% and its breadth is decreased by 20%, then we get the same perimeter. Find the length and breadth of the rectangle.
Answer» Question 96 Solve the following: The perimeter of a rectangle is 240cm. If its length is is increased by 10% and its breadth is decreased by 20%, then we get the same perimeter. Find the length and breadth of the rectangle.

821.

Question 96 Solve the following: The perimeter of a rectangle is 240cm. If its length is is increased by 10% and its breadth is decreased by 20%, then we get the same perimeter. Find the length and breadth of the rectangle.

Answer»

Question 96

Solve the following:

The perimeter of a rectangle is 240cm. If its length is is increased by 10% and its breadth is decreased by 20%, then we get the same perimeter. Find the length and breadth of the rectangle.

Discussion

822.	Find the probability of getting a number greater than 4 when a die is thrown.
Answer» Find the probability of getting a number greater than 4 when a die is thrown.

Discussion

823.	C is the centre of the circle whose radius is 10 cm. Find the distance of the chord from the centre if the length of the chord is 12 cm.
Answer» C is the centre of the circle whose radius is 10 cm. Find the distance of the chord from the centre if the length of the chord is 12 cm.

Discussion

824.	Fill in the blanks by tracing the dotted words.1. A was dozing under a tree.2. A came buzzing by.3. The tiger hit out with his .4. The mosquito buzzed .5. Everyone is in his own way!Disclaimer: Kindly refer the textbook for the images.
Answer» Fill in the blanks by tracing the dotted words. 1. A was dozing under a tree. 2. A came buzzing by. 3. The tiger hit out with his . 4. The mosquito buzzed . 5. Everyone is in his own way! Disclaimer: Kindly refer the textbook for the images.

824.

Fill in the blanks by tracing the dotted words.1. A was dozing under a tree.2. A came buzzing by.3. The tiger hit out with his .4. The mosquito buzzed .5. Everyone is in his own way!Disclaimer: Kindly refer the textbook for the images.

Answer»

Fill in the blanks by tracing the dotted words.

1. A was dozing under a tree.

2. A came buzzing by.

3. The tiger hit out with his .

4. The mosquito buzzed .

5. Everyone is in his own way!

Disclaimer: Kindly refer the textbook for the images.

Discussion

825.	Construct a rhombus ABCD given AB=4 cm and ∠ABC=120∘.
Answer» Construct a rhombus ABCD given AB=4 cm and $∠ A B C = 120^{\circ}$ .

Discussion

826.	Question 8Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
Answer» Question 8 Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.

Discussion

827.

Draw a frequency polygon for the following grouped frequency distribution table. Age of the donor (Yrs.) 20 - 24 25 - 29 30 - 34 35 - 39 40 - 44 45 - 49 No. of blood doners 38 46 35 24 15 12

Answer» Draw a frequency polygon for the following grouped frequency distribution table.

Age of the donor (Yrs.)	20 - 24	25 - 29	30 - 34	35 - 39	40 - 44	45 - 49
No. of blood doners	38	46	35	24	15	12

Discussion

828.	If we start at (0,0) on a rectangular coordinate system, and move right 2 and up 9 , where are we?
Answer» If we start at (0,0) on a rectangular coordinate system, and move right 2 and up 9 , where are we?

Discussion

829.	What would be the third term when the polynomial expression 4a2+3a−7a8 is written in standard form?
Answer» What would be the third term when the polynomial expression $4 a^{2} + 3 a - 7 a^{8}$ is written in standard form?

Discussion

830.	The product of a rational number and its multiplicative Inverse = ___
Answer» The product of a rational number and its multiplicative Inverse = ___

Discussion

831.	Give one example each of a binomial of degree 35, and of a monomial of degree 100.
Answer» Give one example each of a binomial of degree 35, and of a monomial of degree 100.

Discussion

832.	283+(−15)3+(−13)3= ______.16380
Answer» $28^{3} + (- 15)^{3} + (- 13)^{3} =$ ______. 16380

Discussion

833.	A lot of 20 bulbs contains 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
Answer» A lot of 20 bulbs contains 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?

Discussion

834.	The length of the rectangle is twice its breadth. If half of its perimeter is 18 cm, what will be the area(in sq. cm) of the green triangle?
Answer» The length of the rectangle is twice its breadth. If half of its perimeter is 18 cm, what will be the area(in sq. cm) of the green triangle?

Discussion

835.	If one of the factor of x2 – 2x + 1 is (x -1) then its second factor is:
Answer» If one of the factor of x² – 2x + 1 is (x -1) then its second factor is:

Discussion

836.	Σfx = 6Y - 4, Σf = 8. If the mean of the distribution is 7, what is the value of Y?
Answer» Σfx = 6Y - 4, Σf = 8. If the mean of the distribution is 7, what is the value of Y?

Discussion

837.	Quadrilateral is a closed figure formed by line segments.
Answer» Quadrilateral is a closed figure formed by line segments.

Discussion

838.	Find the value of the largest member of a Pythagorean triples if the value of the smallest member is 18.
Answer» Find the value of the largest member of a Pythagorean triples if the value of the smallest member is $18$ .

Discussion

839.	Divide 49x2yz2 by 7y2z3 .
Answer» Divide $49 x^{2} y z^{2}$ by $7 y^{2} z^{3}$ .

Discussion

840.	Find the angle subtended by a chord of length 12 units to the center of a circle having a radius of √72 units.degrees
Answer» Find the angle subtended by a chord of length 12 units to the center of a circle having a radius of √72 units. degrees

Discussion

841.	The cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of ₹7 per m2 is ___ .
Answer» The cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of ₹7 per $m^{2}$ is ___ .

Discussion

842.	Find the compound interest on Rs 90,000 for 3 years at the rate of 10% per annum compounded annually.
Answer» Find the compound interest on Rs 90,000 for 3 years at the rate of 10% per annum compounded annually.

Discussion

843.	Which of the following is not a polynomial?
Answer» Which of the following is not a polynomial?

Discussion

844.	Expand the algebraic expression a13(a32+a3)
Answer» Expand the algebraic expression $a^{\frac{1}{3}} (a^{\frac{3}{2}} + a^{3})$

Discussion

845.	Question 6 (vi)For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained: 1620
Answer» Question 6 (vi) For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained: 1620

845.

Question 6 (vi)For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained: 1620

Answer»

Question 6 (vi)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

1620

Discussion

846.	Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of its angles.
Answer» Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of its angles.

Discussion

847.	In a camp, there are 120 students for whom the food provision is made for 20 days. How long will these provisions last , if 30 more students join the camp?
Answer» In a camp, there are 120 students for whom the food provision is made for 20 days. How long will these provisions last , if 30 more students join the camp?

Discussion

848.	A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distances from the town at different times are shown by the given graph.Study the above graph carefully and answer the questions given below:(i) What is the scale taken for the time-axis?(ii) How much time did the person take for the travel?(iii) How far is the place of the merchant from the town?(iv) Did the person stop on his way? Explain.(v) During which period did the ride fastest?
Answer» A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distances from the town at different times are shown by the given graph. Study the above graph carefully and answer the questions given below: (i) What is the scale taken for the time-axis? (ii) How much time did the person take for the travel? (iii) How far is the place of the merchant from the town? (iv) Did the person stop on his way? Explain. (v) During which period did the ride fastest?

Discussion

849.	Question 88 (iii)Factorise the following expression.ax3−bx2+cx
Answer» Question 88 (iii) Factorise the following expression. $a x^{3} - b x^{2} + c x$

Discussion

850.	Which of the following table DONOT represent/s function ?
Answer» Which of the following table DONOT represent/s function ?

Discussion

Explore topic-wise InterviewSolutions in .

A shopkeeper was selling all his items at 25% discount. During the off-season, he offered 30% discount over and above the existing discount. If Pragya bought a skirt which was marked for ₹ 1200, how much did she pay for it?

What should be subtracted from −23 to get 56?

Which of the following will be least preferred if you have to represent sales of galaxy tabs and iPhones for the past 3 years?

The sum of numerator and denominator of a fraction is 8. If 2 is added to numerator and 3 is subtracted from denominator, the fraction becomes 52, find the original fraction.

Question 55(viii)Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow.At what time did he return home?

The cost of an article is first increased by 20% and then decreased by 30%, find the percentage change in the cost of the article.

The mode of following data is: 14, 11, 12, 13, 12, 12, 12

Question 7In the following question, out of the four options, only one is correct. Write the correct answer:The reciprocal of (25)−1 is:(a) 25(b) 52(c) −52(d) −25

Find the smallest number that should be added to 1727 to make it divisible by 3.

Rhombus is a parallelogram: justify.

In the given figure, AB||FH, DF||BG, the which of the following is correct?

In the given pentagon ABCDE, prove that 2CD &lt; Perimeter (ABCDE). [4 MARKS]

Simplify:(i) ; (ii) .

The bar graph shows the favourite colours of 20 students in a class. How many liked blue than pink?

The perimeter of right triangle is 36 cm. A circle inscribed in this triangle touches hypotenuse at C such that PC : CR = 2:3, then sides of PQR are

An isosceles right triangle has area 8 cm. What's the length of its hypotenuse?

Question 130 State whether the statements are True or False. A parallelogram can be constructed uniquely, if both diagonals and the angle between them is given.

Simplify a−ba + a+bb

Question 96 Solve the following: The perimeter of a rectangle is 240cm. If its length is is increased by 10% and its breadth is decreased by 20%, then we get the same perimeter. Find the length and breadth of the rectangle.

Find the probability of getting a number greater than 4 when a die is thrown.

C is the centre of the circle whose radius is 10 cm. Find the distance of the chord from the centre if the length of the chord is 12 cm.

Fill in the blanks by tracing the dotted words.1. A was dozing under a tree.2. A came buzzing by.3. The tiger hit out with his .4. The mosquito buzzed .5. Everyone is in his own way!Disclaimer: Kindly refer the textbook for the images.

Construct a rhombus ABCD given AB=4 cm and ∠ABC=120∘.

Question 8Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.

Draw a frequency polygon for the following grouped frequency distribution table. Age of the donor (Yrs.) 20 - 24 25 - 29 30 - 34 35 - 39 40 - 44 45 - 49 No. of blood doners 38 46 35 24 15 12

If we start at (0,0) on a rectangular coordinate system, and move right 2 and up 9 , where are we?

What would be the third term when the polynomial expression 4a2+3a−7a8 is written in standard form?

The product of a rational number and its multiplicative Inverse = ___

Give one example each of a binomial of degree 35, and of a monomial of degree 100.

283+(−15)3+(−13)3= ______.16380

A lot of 20 bulbs contains 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?

The length of the rectangle is twice its breadth. If half of its perimeter is 18 cm, what will be the area(in sq. cm) of the green triangle?

If one of the factor of x2 – 2x + 1 is (x -1) then its second factor is:

Σfx = 6Y - 4, Σf = 8. If the mean of the distribution is 7, what is the value of Y?

Quadrilateral is a closed figure formed by line segments.

Find the value of the largest member of a Pythagorean triples if the value of the smallest member is 18.

Divide 49x2yz2 by 7y2z3 .

Find the angle subtended by a chord of length 12 units to the center of a circle having a radius of √72 units.degrees

The cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of ₹7 per m2 is ___ .

Find the compound interest on Rs 90,000 for 3 years at the rate of 10% per annum compounded annually.

Which of the following is not a polynomial?

Expand the algebraic expression a13(a32+a3)

Question 6 (vi)For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained: 1620

Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of its angles.

In a camp, there are 120 students for whom the food provision is made for 20 days. How long will these provisions last , if 30 more students join the camp?

Question 88 (iii)Factorise the following expression.ax3−bx2+cx

Which of the following table DONOT represent/s function ?

In the given pentagon ABCDE, prove that 2CD < Perimeter (ABCDE). [4 MARKS]