25365 + Interview Questions in Mathematics

1.	Factorise the expression:ax2+by2+bxy+axy
Answer» Factorise the expression: $a x^{2} + b y^{2} + b x y + a x y$

Discussion

2.	p is inversely propotional to the square of (q+4). When p=2,q=2. When q=−2, then p is .
Answer» $p$ is inversely propotional to the square of $(q + 4)$ . When $p = 2, q = 2$ . When $q = - 2$ , then $p$ is .

Discussion

3.	AD, BE and CF are the medians of the triangle ABC and G is centroid. If AD=15 cm, find AG. 10
Answer» AD, BE and CF are the medians of the triangle ABC and G is centroid. If $A D = 15 c m$ , find $A G$ . 10

Discussion

4.	20 ribbons, each of length 35 cm, when joined together will give us a ribbon of length ___ m.
Answer» 20 ribbons, each of length 35 cm, when joined together will give us a ribbon of length ___ m.

Discussion

5.	The ratio of present ages of Rehana and her mother is 2 : 7. After 2 years, the ratio of their ages will be 1 : 3. What is Rehana's present age ?
Answer» The ratio of present ages of Rehana and her mother is 2 : 7. After 2 years, the ratio of their ages will be 1 : 3. What is Rehana's present age ?

Discussion

6.	A mixture is obtained by mixing 12 kg of wheat with 18 kg of rice. Find the percentage of rice in the mixture.
Answer» A mixture is obtained by mixing 12 kg of wheat with 18 kg of rice. Find the percentage of rice in the mixture.

Discussion

7.	27. A number x is selected at random from the numbers 1,2,3 and 4 . Another number y is selected at random from the numbers 1,4,9 and 16 .Find the probability that the product of x and y is less than 16.
Answer» 27. A number x is selected at random from the numbers 1,2,3 and 4 . Another number y is selected at random from the numbers 1,4,9 and 16 .Find the probability that the product of x and y is less than 16.

Discussion

8.	Question 27(i)A bag contains 10 red, 5 blue and 7 green balls. A ball is drawn at random. Find the probability of this ball being a red ball ?
Answer» Question 27(i) A bag contains 10 red, 5 blue and 7 green balls. A ball is drawn at random. Find the probability of this ball being a red ball ?

Discussion

9.	If 9x32[-x/32]-2=1/27, find x
Answer» If 9^x3^2[-x/3²]^-2=1/27, find x

Discussion

10.	(\sqrt{5+\sqrt5})^6+(\sqrt{5+\sqrt5})^6
Answer» (\sqrt{5+\sqrt5})^6+(\sqrt{5+\sqrt5})^6

Discussion

11.	A farmer has enough food to deed 28 animals in his cattle for 9 days. How long would the food last, if there were 8 more animals in his cattle ?
Answer» A farmer has enough food to deed 28 animals in his cattle for 9 days. How long would the food last, if there were 8 more animals in his cattle ?

Discussion

12.	The number of small cubes of edge of 10 cm that can be accommodated in a cubical box of edge 1 m is
Answer» The number of small cubes of edge of $10 c m$ that can be accommodated in a cubical box of edge $1 m$ is

Discussion

13.	Concrete mixture is made by mixing cement,stone and sand in a rotating cylindrical drum. If the drum rotates too fast,the ingredients remain stuck to the wall of te drum and proper mixing of the ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to (Take the radius of the deum to be 1.25m and its axle to be horizontal
Answer» Concrete mixture is made by mixing cement,stone and sand in a rotating cylindrical drum. If the drum rotates too fast,the ingredients remain stuck to the wall of te drum and proper mixing of the ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to (Take the radius of the deum to be 1.25m and its axle to be horizontal

Discussion

14.	Which of the following geometric apparatus is used to make two line segments meet when their lengths and one point in each line segment is known?
Answer» Which of the following geometric apparatus is used to make two line segments meet when their lengths and one point in each line segment is known?

Discussion

15.	Write the multiples of 4 which lie between 30 and 40?
Answer» Write the multiples of 4 which lie between 30 and 40?

Discussion

16.	In the given figure m∠A=84∘, m∠B=80∘, then
Answer» In the given figure $m ∠ A = 84^{\circ}, m ∠ B = 80^{\circ},$ then

Discussion

17.	Is 7248 divisible (i) by 4 (ii) by 2 (iii) by 8? [3 MARKS]
Answer» Is 7248 divisible (i) by 4 (ii) by 2 (iii) by 8? [3 MARKS]

Discussion

18.

To know the opinion of the students about the subject Sanskrit, a survey of 200 students was conducted. The data is recorded as under. Opinion like dislike Number of students 135 65 What is the probability that a student chosen at random does not like it?(a) 1327(b) 2740(c) 1340(d) 2713

Answer» To know the opinion of the students about the subject Sanskrit, a survey of 200 students was conducted. The data is recorded as under.

Opinion	like	dislike
Number of students	135	65

What is the probability that a student chosen at random does not like it?

(a)

\frac{13}{27}

(b)

\frac{27}{40}

(c)

\frac{13}{40}

(d)

\frac{27}{13}

Discussion

19.	How many units would be required to represent 5 pizzas on a graph of scale 4:1?20
Answer» How many units would be required to represent 5 pizzas on a graph of scale 4:1? 20

Discussion

20.

The names of the heads of some families in a village and the quantity of drinking water their family consumes in one day are given below. Draw a bar graph for this data.(Scale : On Y - axis, 1cm = 10 litres of water) Name Ramesh Shobha Ayub Julie Rahul Litres of water used 30 litres 60 litres 40 litres 50 litres 55 litres

Answer» The names of the heads of some families in a village and the quantity of drinking water their family consumes in one day are given below. Draw a bar graph for this data.

(Scale : On Y - axis, 1cm = 10 litres of water)

Name	Ramesh	Shobha	Ayub	Julie	Rahul
Litres of water used	30 litres	60 litres	40 litres	50 litres	55 litres

Discussion

21.	A sum of money was put at simple interest at certain rate for 2 years.If this sum had been put at 3% higher rate,it would have earned Rs.720 more as interest.Find the sum.
Answer» A sum of money was put at simple interest at certain rate for 2 years.If this sum had been put at 3% higher rate,it would have earned Rs.720 more as interest.Find the sum.

Discussion

22.	If A={x:x=n, n∈N, 5≤n<9}, B={3,4,5,6} and C={x=2n, n∈N, n<5}, thenB∪(A∩C)= ___.
Answer» If $A = {x : x = n, n \in N, 5 \leq n < 9},$ $B = {3, 4, 5, 6}$ and $C = {x = 2 n, n \in N, n < 5},$ then $B \cup (A \cap C) =$ ___.

22.

If A={x:x=n, n∈N, 5≤n<9}, B={3,4,5,6} and C={x=2n, n∈N, n<5}, thenB∪(A∩C)= ___.

Answer»

If $A = {x : x = n, n \in N, 5 \leq n < 9},$

$B = {3, 4, 5, 6}$ and

$C = {x = 2 n, n \in N, n < 5},$ then

$B \cup (A \cap C) =$ ___.

Discussion

23.	A field is in the form of an isosceles trapezium whose perimeter is 215 m. One of its non - parallel side is 50 m . What is the sum of its parallel sides?
Answer» A field is in the form of an isosceles trapezium whose perimeter is 215 m. One of its non - parallel side is 50 m . What is the sum of its parallel sides?

Discussion

24.	Rational no between root 2 and root 3
Answer» Rational no between root 2 and root 3

Discussion

25.	Question 6The class marks of a frequency distribution are given as follows 15, 20, 25….. the class corresponding to the classmark 20 is:A) 12.5 - 17.5B) 17.5 - 22.5C) 18.5 - 21.5D) 19.5 - 20.5
Answer» Question 6 The class marks of a frequency distribution are given as follows 15, 20, 25….. the class corresponding to the classmark 20 is: A) 12.5 - 17.5 B) 17.5 - 22.5 C) 18.5 - 21.5 D) 19.5 - 20.5

Discussion

26.	A number which can be represented in the form of pq, q≠0 where p and q are integers is called a ___ number.
Answer» A number which can be represented in the form of $\frac{p}{q}, q \neq 0$ where p and q are integers is called a ___ number.

Discussion

27.	In a school ⅝ students are boys. If there are 240 girls the find the number of boys in the school.
Answer» In a school ⅝ students are boys. If there are 240 girls the find the number of boys in the school.

Discussion

28.	The value of nCn−rnCr is
Answer» The value of $\frac{^{n} C_{n - r}}{^{n} C_{r}}$ is

Discussion

29.	Question 90The radius and height of a cylinder are in the ratio 3 : 2 and its volume is 19404 cm3. Find its radius and height.
Answer» Question 90 The radius and height of a cylinder are in the ratio 3 : 2 and its volume is $19404 c m^{3}$ . Find its radius and height.

29.

Question 90The radius and height of a cylinder are in the ratio 3 : 2 and its volume is 19404 cm3. Find its radius and height.

Answer»

Question 90

The radius and height of a cylinder are in the ratio 3 : 2 and its volume is $19404 c m^{3}$ . Find its radius and height.

Discussion

30.	How to find cube root by division method?
Answer» How to find cube root by division method?

Discussion

31.	The total cost of 6 books and 7 pens is 79 rupees and the total cost of 7 books and 5 pens is 77 rupeess. Find the cost of 1 book and 2 pens.
Answer» The total cost of 6 books and 7 pens is 79 rupees and the total cost of 7 books and 5 pens is 77 rupeess. Find the cost of 1 book and 2 pens.

Discussion

32.	√10×√15= ______
Answer» $\sqrt{10} \times \sqrt{15} =$ ______

Discussion

33.

Prepare Two-column Cash Book from the following transactions of Mani, Kochi: 2019 March 1 Cash in Hand ₹ 15,000; Cash at Bank ₹ 5,000 March 3 Purchased goods for cash ₹ 6,720 including CGST and SGST 6% p.a; received discount of ₹ 220 March 5 Deposited into bank ₹ 5,000 March 7 Cash sales ₹ 10,000 plus CGST and SGST 6% each March 10 Cash withdrawn from Bank for Office use ₹ 2,000 March 15 Received three months post dated cheque of ₹ 20,000 from Raj and deposited in the bank on the same day, discounted from bank paying discounting charges ₹ 750 March 18 Received cheque from Deepak for ₹ 5,000 (not banked), allowed discount ₹ 200 March 20 Cheque received from Deepak deposited in Bank March 22 Paid to Chandra by cheque ₹ 2,500; received discount ₹ 100 March 25 Withdrew from bank for personal use ₹ 1,000 March 28 Sold goods on credit to Ashok Mitra, Kolkata ₹ 10,000, charged IGST 12% March 30 Purchased goods on credit from Chander, Delhi ₹ 20,000, paid IGST 12% March 31 Received cheque from Ashok Mitra ₹ 5,000 and deposited in bank, allowed cash discount ₹ 200

Answer» Prepare Two-column Cash Book from the following transactions of Mani, Kochi:

2019
March 1	Cash in Hand ₹ 15,000; Cash at Bank ₹ 5,000
March 3	Purchased goods for cash ₹ 6,720 including CGST and SGST 6% p.a; received discount of ₹ 220
March 5	Deposited into bank ₹ 5,000
March 7	Cash sales ₹ 10,000 plus CGST and SGST 6% each
March 10	Cash withdrawn from Bank for Office use ₹ 2,000
March 15	Received three months post dated cheque of ₹ 20,000 from Raj and deposited in the bank on the same day, discounted from bank paying discounting charges ₹ 750
March 18	Received cheque from Deepak for ₹ 5,000 (not banked), allowed discount ₹ 200
March 20	Cheque received from Deepak deposited in Bank
March 22	Paid to Chandra by cheque ₹ 2,500; received discount ₹ 100
March 25	Withdrew from bank for personal use ₹ 1,000
March 28	Sold goods on credit to Ashok Mitra, Kolkata ₹ 10,000, charged IGST 12%
March 30	Purchased goods on credit from Chander, Delhi ₹ 20,000, paid IGST 12%
March 31	Received cheque from Ashok Mitra ₹ 5,000 and deposited in bank, allowed cash discount ₹ 200

Discussion

34.	Express 34 as a rational number with denominator -80.
Answer» Express $\frac{3}{4}$ as a rational number with denominator -80.

Discussion

35.	26. A number x is selected at random from the numbers 1,4,9,16 and another number y is selected at random from the numbers 1,2,3,4. Find the probability that the value of 'xy' is more than 16.
Answer» 26. A number x is selected at random from the numbers 1,4,9,16 and another number y is selected at random from the numbers 1,2,3,4. Find the probability that the value of 'xy' is more than 16.

Discussion

36.	How many subsets are their for a null set
Answer» How many subsets are their for a null set

Discussion

37.	A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
Answer» A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

Discussion

38.	Express each of the following rational numbers in standard form : (i) −1230 (ii) −1449 (iii) 24−64 (iv) −36−63
Answer» Express each of the following rational numbers in standard form : (i) $\frac{- 12}{30}$ (ii) $\frac{- 14}{49}$ (iii) $\frac{24}{- 64}$ (iv) $\frac{- 36}{- 63}$

38.

Express each of the following rational numbers in standard form : (i) −1230 (ii) −1449 (iii) 24−64 (iv) −36−63

Answer»

Express each of the following rational numbers in standard form :

(i) $\frac{- 12}{30}$ (ii) $\frac{- 14}{49}$ (iii) $\frac{24}{- 64}$ (iv) $\frac{- 36}{- 63}$

Discussion

39.	While doing bar graphs if there is intervals 50- 60 and 60-70 in which frequency we should take 60?
Answer» While doing bar graphs if there is intervals 50- 60 and 60-70 in which frequency we should take 60?

Discussion

40.	If a+b+c=0 then the value of (a^2+ b^2+c^2)/(bc+ca+ab) is (1)2(2)-2 (3)4 (4)-4
Answer» If a+b+c=0 then the value of (a^2+ b^2+c^2)/(bc+ca+ab) is (1)2 (2)-2 (3)4 (4)-4

Discussion

41.	Question 152Manavi and Kuber each receives an equal allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mail. If allowance of each is Rs. 1260, find the amount left with each.Where money goesFraction of allowanceManaviKuberSaving account1213Spend at mall1435Left over??
Answer» Question 152 Manavi and Kuber each receives an equal allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mail. If allowance of each is Rs. 1260, find the amount left with each. $\begin{matrix} Where money goes & Fraction of allowance Manavi & Kuber Saving account & \frac{1}{2} & \frac{1}{3} Spend at mall & \frac{1}{4} & \frac{3}{5} Left over & ? & ? \end{matrix}$

Discussion

42.	In a single throw of a die, find the probability that the number: (i) will be an even number. (ii) will be an old number. (iii) will not be an even number.
Answer» In a single throw of a die, find the probability that the number: (i) will be an even number. (ii) will be an old number. (iii) will not be an even number.

Discussion

43.	5. What is +i effect?
Answer» 5. What is +i effect?

Discussion

44.	Draw a net of a cuboid having same breadth and height, but length double the breadth.
Answer» Draw a net of a cuboid having same breadth and height, but length double the breadth.

Discussion

45.	If the area of the rectangle is 9x2−12x−32, then the perimeter of the rectangle is .
Answer» If the area of the rectangle is $9 x^{2} - 12 x - 32$ , then the perimeter of the rectangle is .

Discussion

46.	What is the minimum number that should be multiplied with 360 in order to make it a perfect cube ?
Answer» What is the minimum number that should be multiplied with 360 in order to make it a perfect cube ?

Discussion

47.	let A= 1 3/2 ,B= 4 -3 and Cr = r*3^r 2^r be given 3 matrices then the 1 2 -2 2 0 ( r-1)3^rvalue of summation tr((AB)^rCr) = 3^ba+3 then a+b/25 =
Answer» let A= 1 3/2 ,B= 4 -3 and Cr = r*3^r 2^r be given 3 matrices then the 1 2 -2 2 0 ( r-1)3^r value of summation tr((AB)^rCr) = 3^ba+3 then a+b/25 =

Discussion

48.	If the lateral surface area of the cube is 5476 m2 then find the side of the cube.
Answer» If the lateral surface area of the cube is 5476 m $^{2}$ then find the side of the cube.

Discussion

49.	Find the simple interest for a sum of ₹ 15,000 invested for 2 years at 8 % per annum
Answer» Find the simple interest for a sum of ₹ 15,000 invested for 2 years at 8 % per annum

Discussion

50.

Question 125 Water flows from a tank with a rectangular base measuring 80 cm×70 cm into another tank with a square base of side 60 cm. If the water in the first tank is 45 cm deep, how deep will it be in the second tank?

Answer»

Question 125

Water flows from a tank with a rectangular base measuring $80 c m \times 70 c m$ into another tank with a square base of side 60 cm. If the water in the first tank is 45 cm deep, how deep will it be in the second tank?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Factorise the expression:ax2+by2+bxy+axy

p is inversely propotional to the square of (q+4). When p=2,q=2. When q=−2, then p is .

AD, BE and CF are the medians of the triangle ABC and G is centroid. If AD=15 cm, find AG. 10

20 ribbons, each of length 35 cm, when joined together will give us a ribbon of length ___ m.

The ratio of present ages of Rehana and her mother is 2 : 7. After 2 years, the ratio of their ages will be 1 : 3. What is Rehana's present age ?

A mixture is obtained by mixing 12 kg of wheat with 18 kg of rice. Find the percentage of rice in the mixture.

27. A number x is selected at random from the numbers 1,2,3 and 4 . Another number y is selected at random from the numbers 1,4,9 and 16 .Find the probability that the product of x and y is less than 16.

Question 27(i)A bag contains 10 red, 5 blue and 7 green balls. A ball is drawn at random. Find the probability of this ball being a red ball ?

If 9x*32*[-x/32]-2​​​​​​=1/27, find x

(\sqrt{5+\sqrt5})^6+(\sqrt{5+\sqrt5})^6

A farmer has enough food to deed 28 animals in his cattle for 9 days. How long would the food last, if there were 8 more animals in his cattle ?

The number of small cubes of edge of 10 cm that can be accommodated in a cubical box of edge 1 m is

Which of the following geometric apparatus is used to make two line segments meet when their lengths and one point in each line segment is known?

Write the multiples of 4 which lie between 30 and 40?

In the given figure m∠A=84∘, m∠B=80∘, then

Is 7248 divisible (i) by 4 (ii) by 2 (iii) by 8? [3 MARKS]

To know the opinion of the students about the subject Sanskrit, a survey of 200 students was conducted. The data is recorded as under. Opinion like dislike Number of students 135 65 What is the probability that a student chosen at random does not like it?(a) 1327(b) 2740(c) 1340(d) 2713

How many units would be required to represent 5 pizzas on a graph of scale 4:1?20

A sum of money was put at simple interest at certain rate for 2 years.If this sum had been put at 3% higher rate,it would have earned Rs.720 more as interest.Find the sum.

If A={x:x=n, n∈N, 5≤n&lt;9}, B={3,4,5,6} and C={x=2n, n∈N, n&lt;5}, thenB∪(A∩C)= ___.

A field is in the form of an isosceles trapezium whose perimeter is 215 m. One of its non - parallel side is 50 m . What is the sum of its parallel sides?

Rational no between root 2 and root 3

Question 6The class marks of a frequency distribution are given as follows 15, 20, 25….. the class corresponding to the classmark 20 is:A) 12.5 - 17.5B) 17.5 - 22.5C) 18.5 - 21.5D) 19.5 - 20.5

A number which can be represented in the form of pq, q≠0 where p and q are integers is called a ___ number.

In a school ⅝ students are boys. If there are 240 girls the find the number of boys in the school.

The value of nCn−rnCr is

Question 90The radius and height of a cylinder are in the ratio 3 : 2 and its volume is 19404 cm3. Find its radius and height.

How to find cube root by division method?

The total cost of 6 books and 7 pens is 79 rupees and the total cost of 7 books and 5 pens is 77 rupeess. Find the cost of 1 book and 2 pens.

√10×√15= ______

Express 34 as a rational number with denominator -80.

26. A number x is selected at random from the numbers 1,4,9,16 and another number y is selected at random from the numbers 1,2,3,4. Find the probability that the value of 'xy' is more than 16.

How many subsets are their for a null set

A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

Express each of the following rational numbers in standard form : (i) −1230 (ii) −1449 (iii) 24−64 (iv) −36−63

While doing bar graphs if there is intervals 50- 60 and 60-70 in which frequency we should take 60?

If a+b+c=0 then the value of (a^2+ b^2+c^2)/(bc+ca+ab) is (1)2(2)-2 (3)4 (4)-4

In a single throw of a die, find the probability that the number: (i) will be an even number. (ii) will be an old number. (iii) will not be an even number.

5. What is +i effect?

Draw a net of a cuboid having same breadth and height, but length double the breadth.

If the area of the rectangle is 9x2−12x−32, then the perimeter of the rectangle is .

What is the minimum number that should be multiplied with 360 in order to make it a perfect cube ?

let A= 1 3/2 ,B= 4 -3 and Cr = r*3^r 2^r be given 3 matrices then the 1 2 -2 2 0 ( r-1)3^rvalue of summation tr((AB)^rCr) = 3^ba+3 then a+b/25 =

If the lateral surface area of the cube is 5476 m2 then find the side of the cube.

Find the simple interest for a sum of ₹ 15,000 invested for 2 years at 8 % per annum

Question 125 Water flows from a tank with a rectangular base measuring 80 cm×70 cm into another tank with a square base of side 60 cm. If the water in the first tank is 45 cm deep, how deep will it be in the second tank?

If 9x32[-x/32]-2=1/27, find x

If A={x:x=n, n∈N, 5≤n<9}, B={3,4,5,6} and C={x=2n, n∈N, n<5}, thenB∪(A∩C)= ___.