25365 + Interview Questions in Mathematics

1.	The above graph shows the distribution of TV viewership for Zen TV channels in the year 2012-13. If there are 76000 viewers, which of the following is/are true?
Answer» The above graph shows the distribution of TV viewership for Zen TV channels in the year 2012-13. If there are 76000 viewers, which of the following is/are true?

1.

The above graph shows the distribution of TV viewership for Zen TV channels in the year 2012-13. If there are 76000 viewers, which of the following is/are true?

Answer»

The above graph shows the distribution of TV viewership for Zen TV channels in the year 2012-13. If there are 76000 viewers, which of the following is/are true?

Discussion

2.	Question 11 If x + 0 = 0 + x = x, which is rational number, then 0 is called: (a) identity for addition of rational numbers. (b) additive inverse of x. (c) multiplicative inverse of x. (d) reciprocal of x.
Answer» Question 11 If x + 0 = 0 + x = x, which is rational number, then 0 is called: (a) identity for addition of rational numbers. (b) additive inverse of x. (c) multiplicative inverse of x. (d) reciprocal of x.

Discussion

3.	A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the probability that ball drawn is white?
Answer» A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the probability that ball drawn is white?

Discussion

4.	H.C.F of 5, 9 and 17
Answer» H.C.F of 5, 9 and 17

Discussion

5.	The cost of a room in a hotel is partially fixed and partially varying with the hours stayed. A person staying for 10 hours paid ₹ 600 and a person staying for 15 hours paid ₹ 840. Find the algebraic expression representing this situation.
Answer» The cost of a room in a hotel is partially fixed and partially varying with the hours stayed. A person staying for 10 hours paid ₹ 600 and a person staying for 15 hours paid ₹ 840. Find the algebraic expression representing this situation.

Discussion

6.	A sum of money amount to ₹ 6200 in 2 years and ₹ 7400 in 3 years. Find the principal and rate of interest.
Answer» A sum of money amount to ₹ 6200 in 2 years and ₹ 7400 in 3 years. Find the principal and rate of interest.

Discussion

7.	Express the size of a plant cell in exponent form if its value is 0.00001275 m.
Answer» Express the size of a plant cell in exponent form if its value is 0.00001275 m.

Discussion

8.	I need at least one angle and one side to construct a quadrilateral. Which one is it?
Answer» I need at least one angle and one side to construct a quadrilateral. Which one is it?

Discussion

9.	The weight of 15 students are 29,27,35,31,41,37,43,32,34,28,42,36,45,44,30 Find the median.if the weight of 44 kg is replaced by 46kg and 27kg by 25kg,what will be the new median
Answer» The weight of 15 students are 29,27,35,31,41,37,43,32,34,28,42,36,45,44,30 Find the median.if the weight of 44 kg is replaced by 46kg and 27kg by 25kg,what will be the new median

9.

The weight of 15 students are 29,27,35,31,41,37,43,32,34,28,42,36,45,44,30 Find the median.if the weight of 44 kg is replaced by 46kg and 27kg by 25kg,what will be the new median

Answer»

The weight of 15 students are

29,27,35,31,41,37,43,32,34,28,42,36,45,44,30

Find the median.if the weight of 44 kg is replaced by 46kg and 27kg by 25kg,what will be the new median

Discussion

10.	In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles and C respectively .Show that AE llCF.
Answer» In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles and C respectively .Show that AE llCF.

Discussion

11.	Factorize: (x+1)2−(y−1)2
Answer» Factorize: $(x + 1)^{2} - (y - 1)^{2}$

11.

Factorize: (x+1)2−(y−1)2

Answer»

Factorize:

$(x + 1)^{2} - (y - 1)^{2}$

Discussion

12.	Find the values of the following expressions: (i) 16x2+24x+9, when x=74(ii) 64x2+81y2+144xy, when x=11 and y=43(iii) 81x2+16y2−72xy, when x=23 and y=34
Answer» Find the values of the following expressions: $(i) 16 x^{2} + 24 x + 9, w h e n x = \frac{7}{4} (i i) 64 x^{2} + 81 y^{2} + 144 x y, w h e n x = 11 a n d y = \frac{4}{3} (i i i) 81 x^{2} + 16 y^{2} - 72 x y, w h e n x = \frac{2}{3} a n d y = \frac{3}{4}$

12.

Find the values of the following expressions: (i) 16x2+24x+9, when x=74(ii) 64x2+81y2+144xy, when x=11 and y=43(iii) 81x2+16y2−72xy, when x=23 and y=34

Answer»

Find the values of the following expressions:

$(i) 16 x^{2} + 24 x + 9, w h e n x = \frac{7}{4} (i i) 64 x^{2} + 81 y^{2} + 144 x y, w h e n x = 11 a n d y = \frac{4}{3} (i i i) 81 x^{2} + 16 y^{2} - 72 x y, w h e n x = \frac{2}{3} a n d y = \frac{3}{4}$

Discussion

13.	If length, breadth and height of a cuboid are increased by 20%, what is the percentage increase in the the total surface area of cuboid?
Answer» If length, breadth and height of a cuboid are increased by 20%, what is the percentage increase in the the total surface area of cuboid?

Discussion

14.	Construct a quadrilateral ABCD in which BC =7.5 cm, AC=AD= 6 cm, CD=5 cm, BD=10 cm.
Answer» Construct a quadrilateral ABCD in which BC =7.5 cm, AC=AD= 6 cm, CD=5 cm, BD=10 cm.

Discussion

15.	Question 92 (xxvi) Factorise the following using the identity a2−b2=(a+b)(a−b). (a−b)2−(b−c)2
Answer» Question 92 (xxvi) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $(a - b)^{2} - (b - c)^{2}$

15.

Question 92 (xxvi) Factorise the following using the identity a2−b2=(a+b)(a−b). (a−b)2−(b−c)2

Answer»

Question 92 (xxvi)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$(a - b)^{2} - (b - c)^{2}$

Discussion

16.	Question 77 (ii) From the following table determine if x and y are in direct proportion or not.
Answer» Question 77 (ii) From the following table determine if x and y are in direct proportion or not.

16.

Question 77 (ii) From the following table determine if x and y are in direct proportion or not.

Answer»

Question 77 (ii)

From the following table determine if x and y are in direct proportion or not.

Discussion

17.	A product is updated with 20% VAT after a cost price of Rs. 500. Find the bill to be paid in rupees. __
Answer» A product is updated with 20% VAT after a cost price of Rs. 500. Find the bill to be paid in rupees. __

Discussion

18.	I bought a second-hand car for Rs. 50,000, had it transported for Rs. 5,000 and sold it for Rs. 59,400. What is my profit percent?
Answer» I bought a second-hand car for Rs. 50,000, had it transported for Rs. 5,000 and sold it for Rs. 59,400. What is my profit percent?

Discussion

19.	Find the angle x in the given figure. [3 MARKS]
Answer» Find the angle x in the given figure. [3 MARKS]

19.

Find the angle x in the given figure. [3 MARKS]

Answer»

Find the angle x in the given figure.
[3 MARKS]

Discussion

20.	A card is drawn at random from a well shuffled pack of 52 cards. Find the probability that the card drawn has a prime number on it.
Answer» A card is drawn at random from a well shuffled pack of 52 cards. Find the probability that the card drawn has a prime number on it.

Discussion

21.	how many kilos of tea worth Rs 72 per kg should be mixed with 10 kilos of tea worth Rs 90 per kg to produce a mixture which will cost Rs 78 per kg?
Answer» how many kilos of tea worth Rs 72 per kg should be mixed with 10 kilos of tea worth Rs 90 per kg to produce a mixture which will cost Rs 78 per kg?

Discussion

22.	Question 2 Write the correct answer from the given four options. Which of the following is a square of an even number? a) 144 b) 169 c) 441 d) 625
Answer» Question 2 Write the correct answer from the given four options. Which of the following is a square of an even number? a) 144 b) 169 c) 441 d) 625

22.

Question 2 Write the correct answer from the given four options. Which of the following is a square of an even number? a) 144 b) 169 c) 441 d) 625

Answer»

Question 2

Write the correct answer from the given four options.

Which of the following is a square of an even number?

a) 144
b) 169
c) 441
d) 625

Discussion

23.	A gardener has 10000 plants. Find the number of rows of plants if number of rows is equal to number of plants in each row.
Answer» A gardener has 10000 plants. Find the number of rows of plants if number of rows is equal to number of plants in each row.

Discussion

24.	Factories : x2 -xy(2-y)-2 y3
Answer» Factories : x2 -xy(2-y)-2 y3

Discussion

25.	The present age of Goutham's mother is three times the present age of Goutham. After five years sum of their ages will be 66 years. Find the present age of Goutham and his mother respectively.
Answer» The present age of Goutham's mother is three times the present age of Goutham. After five years sum of their ages will be 66 years. Find the present age of Goutham and his mother respectively.

Discussion

26.	How many times the number 3 should be mutiplied with 648, in order to make it a perfect cube? ___
Answer» How many times the number 3 should be mutiplied with 648, in order to make it a perfect cube? ___

Discussion

27.	Question 82 Fill in the blanks to make the statements true. The adjacent sides of a parallelogram are 5 cm and 9 cm. Its perimeter is ___.
Answer» Question 82 Fill in the blanks to make the statements true. The adjacent sides of a parallelogram are 5 cm and 9 cm. Its perimeter is ___.

Discussion

28.	Construct a quadrilateral MORE where MO = 6 cm ,OR = 4.5 cm, ∠M=60∘, ∠O=105∘, ∠R=105∘. [4 MARKS]
Answer» Construct a quadrilateral MORE where MO = 6 cm ,OR = 4.5 cm, $∠ M = 60^{\circ}, ∠ O = 105^{\circ}, ∠ R = 105^{\circ}$ . [4 MARKS]

Discussion

29.	Question 25 Fill in the blanks to make the statements true. There are ___ perfect squares between 1 and 100.
Answer» Question 25 Fill in the blanks to make the statements true. There are ___ perfect squares between 1 and 100.

29.

Question 25 Fill in the blanks to make the statements true. There are ___ perfect squares between 1 and 100.

Answer»

Question 25

Fill in the blanks to make the statements true.

There are ___ perfect squares between 1 and 100.

Discussion

30.	Write the additive inverse of the following: 28
Answer» Write the additive inverse of the following: $\frac{2}{8}$

Discussion

31.	The area of an equilateral ΔABC is 17320.5 cm2 with each vertex of the triangle as centre a circle is drawn with radius equal to half the length of the side of triangle. Find the area of the shaded region. (π=3.14,√3=1.73205) [4 MARKS]
Answer» The area of an equilateral $Δ A B C$ is 17320.5 $c m^{2}$ with each vertex of the triangle as centre a circle is drawn with radius equal to half the length of the side of triangle. Find the area of the shaded region. $(π = 3.14, \sqrt{3} = 1.73205)$ [4 MARKS]

Discussion

32.	For how many values of p does the circle x2+y2+2x+4y−p=0 and the coordinate axes have exactly three common points? ___
Answer» For how many values of p does the circle $x^{2} + y^{2} + 2 x + 4 y - p = 0$ and the coordinate axes have exactly three common points? ___

Discussion

33.	A man invested ₹ 1000 for 3 years at 11per cent simple interest per annum and ₹1000 at 10 % compounded interest per annum compounded annually for three years. Find which investment is better.
Answer» A man invested ₹ 1000 for 3 years at 11per cent simple interest per annum and ₹1000 at 10 % compounded interest per annum compounded annually for three years. Find which investment is better.

Discussion

34.	The coefficient of 'y' in the term−24x2y is ________ .
Answer» $The coefficient of 'y' in the term - 24 x^{2} y is$ ________ .

Discussion

35.	Question 3 (iii) Can a quadrilateral ABCD be a parallelogram, if: (iii) ∠A=70∘and ∠C=65∘
Answer» Question 3 (iii) Can a quadrilateral ABCD be a parallelogram, if: (iii) $∠ A = 70^{\circ} a n d ∠ C = 65^{\circ}$

Discussion

36.	Question 51(iv) The graph shows the maximum temperatures recorded for two consecutive weeks of town. Study the graph and answer the questions that follow. On which day was the difference in temperatures is maximum for both the weeks?
Answer» Question 51(iv) The graph shows the maximum temperatures recorded for two consecutive weeks of town. Study the graph and answer the questions that follow. On which day was the difference in temperatures is maximum for both the weeks?

Discussion

37.	A letter is choosen from the word "RONALDO" The probability that it is a Vowel is
Answer» A letter is choosen from the word "RONALDO" The probability that it is a Vowel is

Discussion

38.	The approximate concentration of H2O2 in 'PERHYDROL' is
Answer» The approximate concentration of $H_{2}$ $O_{2}$ in 'PERHYDROL' is

Discussion

39.	9a2−125a+425 can be expressed as ____.
Answer» $9 a^{2} - \frac{12}{5} a + \frac{4}{25}$ can be expressed as ____.

Discussion

40.	A man filled his car tank with 20 litres of diesel to travel exactly 480 km. At the end of the day, he finds 8 litres of diesel left in the tank. How much distance did he cover?
Answer» A man filled his car tank with 20 litres of diesel to travel exactly 480 km. At the end of the day, he finds 8 litres of diesel left in the tank. How much distance did he cover?

Discussion

41.	If x=ya, y=zb, z=xc then find abc. If a = 12, b = 1288, then find the value of c. [4 MARKS]
Answer» If $x = y^{a}, y = z^{b}, z = x^{c}$ then find abc. If a = 12, b = $\frac{1}{288}$ , then find the value of c. [4 MARKS]

Discussion

42.	Simplify (7879)17×(79710)19×(71078)18
Answer» Simplify ${(\frac{7^{8}}{7^{9}})}^{17} \times {(\frac{7^{9}}{7^{10}})}^{19} \times {(\frac{7^{10}}{7^{8}})}^{18}$

Discussion

43.	If the length of the diagonal of square is 10 cm, then the value of the side of the square is
Answer» If the length of the diagonal of square is 10 cm, then the value of the side of the square is

Discussion

44.	Calculate the sum of money on which the compound interest for 2 years be 4 times the simple interest on ₹4715 for 5 years both at the rate 5% per annum
Answer» Calculate the sum of money on which the compound interest for 2 years be 4 times the simple interest on ₹4715 for 5 years both at the rate 5% per annum

Discussion

45.	Question 4(v) Simplify: (2.5p−1.5q)2−(1.5p−2.5q)2
Answer» Question 4(v) Simplify: $(2.5 p - 1.5 q)^{2} - (1.5 p - 2.5 q)^{2}$

Discussion

46.	Factorize 64a3–343b3
Answer» Factorize $64 a^{3} - 343 b^{3}$

Discussion

47.	A cylindrical vessel , without lid, has to be tin coated on its its both sides. If the radius of the base is 70 cm and it's height is 1.4 m, calculate the cost of tin coating at the rate of Rs. 3.50 per 1000 cm2.
Answer» A cylindrical vessel , without lid, has to be tin coated on its its both sides. If the radius of the base is $70 c m$ and it's height is $1.4 m$ , calculate the cost of tin coating at the rate of $R s . 3.50$ per $1000 c m^{2}$ .

Discussion

48.	If the side of a square is a, then area and perimeter can be found by using the formulae _____.
Answer» If the side of a square is $a$ , then area and perimeter can be found by using the formulae _____.

Discussion

49.	Question 3 (iv) The squares of which of the following would be odd number: 82004
Answer» Question 3 (iv) The squares of which of the following would be odd number: 82004

49.

Question 3 (iv) The squares of which of the following would be odd number: 82004

Answer»

Question 3 (iv)
The squares of which of the following would be odd number:

82004

Discussion

50.	Give reason to show that none of the numbers 640, 81000 and 3600000 is a perfect square.
Answer» Give reason to show that none of the numbers 640, 81000 and 3600000 is a perfect square.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The above graph shows the distribution of TV viewership for Zen TV channels in the year 2012-13. If there are 76000 viewers, which of the following is/are true?

Question 11 If x + 0 = 0 + x = x, which is rational number, then 0 is called: (a) identity for addition of rational numbers. (b) additive inverse of x. (c) multiplicative inverse of x. (d) reciprocal of x.

A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the probability that ball drawn is white?

H.C.F of 5, 9 and 17

The cost of a room in a hotel is partially fixed and partially varying with the hours stayed. A person staying for 10 hours paid ₹ 600 and a person staying for 15 hours paid ₹ 840. Find the algebraic expression representing this situation.

A sum of money amount to ₹ 6200 in 2 years and ₹ 7400 in 3 years. Find the principal and rate of interest.

Express the size of a plant cell in exponent form if its value is 0.00001275 m.

I need at least one angle and one side to construct a quadrilateral. Which one is it?

The weight of 15 students are 29,27,35,31,41,37,43,32,34,28,42,36,45,44,30 Find the median.if the weight of 44 kg is replaced by 46kg and 27kg by 25kg,what will be the new median

In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles and C respectively .Show that AE llCF.

Factorize: (x+1)2−(y−1)2

Find the values of the following expressions: (i) 16x2+24x+9, when x=74(ii) 64x2+81y2+144xy, when x=11 and y=43(iii) 81x2+16y2−72xy, when x=23 and y=34

If length, breadth and height of a cuboid are increased by 20%, what is the percentage increase in the the total surface area of cuboid?

Construct a quadrilateral ABCD in which BC =7.5 cm, AC=AD= 6 cm, CD=5 cm, BD=10 cm.

Question 92 (xxvi) Factorise the following using the identity a2−b2=(a+b)(a−b). (a−b)2−(b−c)2

Question 77 (ii) From the following table determine if x and y are in direct proportion or not.

A product is updated with 20% VAT after a cost price of Rs. 500. Find the bill to be paid in rupees. __

I bought a second-hand car for Rs. 50,000, had it transported for Rs. 5,000 and sold it for Rs. 59,400. What is my profit percent?

Find the angle x in the given figure. [3 MARKS]

A card is drawn at random from a well shuffled pack of 52 cards. Find the probability that the card drawn has a prime number on it.

how many kilos of tea worth Rs 72 per kg should be mixed with 10 kilos of tea worth Rs 90 per kg to produce a mixture which will cost Rs 78 per kg?

Question 2 Write the correct answer from the given four options. Which of the following is a square of an even number? a) 144 b) 169 c) 441 d) 625

A gardener has 10000 plants. Find the number of rows of plants if number of rows is equal to number of plants in each row.

Factories : x*2 -xy(2-y)-2 y*3

The present age of Goutham's mother is three times the present age of Goutham. After five years sum of their ages will be 66 years. Find the present age of Goutham and his mother respectively.

How many times the number 3 should be mutiplied with 648, in order to make it a perfect cube? ___

Question 82 Fill in the blanks to make the statements true. The adjacent sides of a parallelogram are 5 cm and 9 cm. Its perimeter is ___.

Construct a quadrilateral MORE where MO = 6 cm ,OR = 4.5 cm, ∠M=60∘, ∠O=105∘, ∠R=105∘. [4 MARKS]

Question 25 Fill in the blanks to make the statements true. There are ___ perfect squares between 1 and 100.

Write the additive inverse of the following: 28

The area of an equilateral ΔABC is 17320.5 cm2 with each vertex of the triangle as centre a circle is drawn with radius equal to half the length of the side of triangle. Find the area of the shaded region. (π=3.14,√3=1.73205) [4 MARKS]

For how many values of p does the circle x2+y2+2x+4y−p=0 and the coordinate axes have exactly three common points? ___

A man invested ₹ 1000 for 3 years at 11per cent simple interest per annum and ₹1000 at 10 % compounded interest per annum compounded annually for three years. Find which investment is better.

The coefficient of 'y' in the term−24x2y is ________ .

Question 3 (iii) Can a quadrilateral ABCD be a parallelogram, if: (iii) ∠A=70∘and ∠C=65∘

Question 51(iv) The graph shows the maximum temperatures recorded for two consecutive weeks of town. Study the graph and answer the questions that follow. On which day was the difference in temperatures is maximum for both the weeks?

A letter is choosen from the word "RONALDO" The probability that it is a Vowel is

The approximate concentration of H2O2 in 'PERHYDROL' is

9a2−125a+425 can be expressed as ____.

A man filled his car tank with 20 litres of diesel to travel exactly 480 km. At the end of the day, he finds 8 litres of diesel left in the tank. How much distance did he cover?

If x=ya, y=zb, z=xc then find abc. If a = 12, b = 1288, then find the value of c. [4 MARKS]

Simplify (7879)17×(79710)19×(71078)18

If the length of the diagonal of square is 10 cm, then the value of the side of the square is

Calculate the sum of money on which the compound interest for 2 years be 4 times the simple interest on ₹4715 for 5 years both at the rate 5% per annum

Question 4(v) Simplify: (2.5p−1.5q)2−(1.5p−2.5q)2

Factorize 64a3–343b3

A cylindrical vessel , without lid, has to be tin coated on its its both sides. If the radius of the base is 70 cm and it's height is 1.4 m, calculate the cost of tin coating at the rate of Rs. 3.50 per 1000 cm2.

If the side of a square is a, then area and perimeter can be found by using the formulae _____.

Question 3 (iv) The squares of which of the following would be odd number: 82004

Give reason to show that none of the numbers 640, 81000 and 3600000 is a perfect square.

Factories : x2 -xy(2-y)-2 y3