25365 + Interview Questions in Mathematics

1.	Find the equation of a line which passes through the mid point of (3,1) and (1,5). The slope of this line is perpendicular to another line having a slope of −13.
Answer» Find the equation of a line which passes through the mid point of $(3, 1)$ and $(1, 5)$ . The slope of this line is perpendicular to another line having a slope of $\frac{- 1}{3} .$

Discussion

2.	Find Arjun's present age if twenty years from now, he will be thrice as old as he is today.
Answer» Find Arjun's present age if twenty years from now, he will be thrice as old as he is today.

Discussion

3.	In the representation of rational numbers, the number line extends ______ .
Answer» In the representation of rational numbers, the number line extends ______ .

Discussion

4.	Assertion: Area of an equilateral triangle of side ‘a’ is =√34a2 Reason: The height of an equilateral triangle of side ‘a’ is =√34a2 Which of the following is correct?
Answer» Assertion: Area of an equilateral triangle of side ‘a’ is $= \frac{\sqrt{3}}{4} a^{2}$ Reason: The height of an equilateral triangle of side ‘a’ is $= \frac{\sqrt{3}}{4} a^{2}$ Which of the following is correct?

4.

Assertion: Area of an equilateral triangle of side ‘a’ is =√34a2 Reason: The height of an equilateral triangle of side ‘a’ is =√34a2 Which of the following is correct?

Answer»

Assertion: Area of an equilateral triangle of side ‘a’ is $= \frac{\sqrt{3}}{4} a^{2}$

Reason: The height of an equilateral triangle of side ‘a’ is $= \frac{\sqrt{3}}{4} a^{2}$

Which of the following is correct?

Discussion

5.	A car Increases its speed with uniform rate from 20 km per hour to 50 km per hour in 10 seconds ,average speed of car is ?
Answer» A car Increases its speed with uniform rate from 20 km per hour to 50 km per hour in 10 seconds ,average speed of car is ?

Discussion

6.	5^8-3^8 is not divisible by i) 2. ii) 16. iii) 17. iv) 25 How to find out this
Answer» 5^8-3^8 is not divisible by i) 2. ii) 16. iii) 17. iv) 25 How to find out this

Discussion

7.	Use Euclid division lemma to show that the cube of any positive integer is in the form of 9m, 9m+ 1 or 9m+ 8
Answer» Use Euclid division lemma to show that the cube of any positive integer is in the form of 9m, 9m+ 1 or 9m+ 8

Discussion

8.	17. Find the least no which must be added to 525 to get a perfect square . Also find the square foot of the perfect square
Answer» 17. Find the least no which must be added to 525 to get a perfect square . Also find the square foot of the perfect square

Discussion

9.	The sum of the digits of a two digit number is 8. The digit in the units place is 1 more than six times the digit in the tens place. Find the number.
Answer» The sum of the digits of a two digit number is 8. The digit in the units place is 1 more than six times the digit in the tens place. Find the number.

Discussion

10.	Question 37For rational numbers ab,cd and ef, we have ab×(cd+ef)= ___ + ____
Answer» Question 37 For rational numbers $\frac{a}{b}, \frac{c}{d}$ and $\frac{e}{f}$ , we have $\frac{a}{b} \times (\frac{c}{d} + \frac{e}{f}) =$ ___ + ____

Discussion

11.

Calculate missing frequencies, if median value is 28 and N =44 Class 0-10 10-20 20-30 30-40 40-50 50-60 No of students 3 ? 15 9 ? 4

Answer» Calculate missing frequencies, if median value is 28 and N =44

Class	0-10	10-20	20-30	30-40	40-50	50-60
No of students	3	?	15	9	?	4

Discussion

12.	Question 69 Solve the following: 2y−34−3y−52=y+34
Answer» Question 69 Solve the following: $\frac{2 y - 3}{4} - \frac{3 y - 5}{2} = y + \frac{3}{4}$

12.

Question 69 Solve the following: 2y−34−3y−52=y+34

Answer»

Question 69

Solve the following:

$\frac{2 y - 3}{4} - \frac{3 y - 5}{2} = y + \frac{3}{4}$

Discussion

13.	Let P = 2^2 3^3 4^4 5^5 8^8 10^3, then the total numberof divisors will be
Answer» Let P = 2^2 3^3 4^4 5^5 8^8 10^3 , then the total number of divisors will be

Discussion

14.	Sumit Machine Ltd. issued 50,000 shares of ₹. 100 each at premium of 5%. The shares were payable ₹. 25 on application, ₹. 50 on allotment and ₹. 30 on first and final call. The issue was fully subscribed and money was duly received except the final call on 400 shares. The premium was adjusted on allotment. Give journal entries and prepare balance sheet.
Answer» Sumit Machine Ltd. issued 50,000 shares of ₹. 100 each at premium of 5%. The shares were payable ₹. 25 on application, ₹. 50 on allotment and ₹. 30 on first and final call. The issue was fully subscribed and money was duly received except the final call on 400 shares. The premium was adjusted on allotment. Give journal entries and prepare balance sheet.

Discussion

15.	Question 131 Solve the following question: Find the smallest square number divisible by each of the numbers 8, 9 and 10.
Answer» Question 131 Solve the following question: Find the smallest square number divisible by each of the numbers 8, 9 and 10.

15.

Question 131 Solve the following question: Find the smallest square number divisible by each of the numbers 8, 9 and 10.

Answer»

Question 131

Solve the following question:

Find the smallest square number divisible by each of the numbers 8, 9 and 10.

Discussion

16.	10, _ ,74,100,202Find the mission term
Answer» 10, _ ,74,100,202 Find the mission term

Discussion

17.	A T-beam of flange width 1200mm, flange thickness 100 mm, rib width 275 mm has an effective depth of 550 mm and is reinforced with 6 bars of 25 mmϕ. The ultimate MOR will be ____ kNm. [Use M30 concrete and Fe415 steel]548.21
Answer» A T-beam of flange width 1200mm, flange thickness 100 mm, rib width 275 mm has an effective depth of 550 mm and is reinforced with 6 bars of 25 mm $ϕ$ . The ultimate MOR will be ____ kNm. [Use M30 concrete and Fe415 steel] 548.21

Discussion

18.	Expand: (7m−3n−4k)2
Answer» Expand: $(7 m - 3 n - 4 k)^{2}$

Discussion

19.	Among the numbers 2250,3200,4150,5100 the greatest is which number
Answer» Among the numbers2^250,3^200,4^150,5¹⁰⁰ the greatest is which number

Discussion

20.	Given the profit share distribution as follows:Keeping the family's profit unchanged and after giving everyone an equal share of the profit, find what fraction of the total profit can be reinvested.
Answer» Given the profit share distribution as follows: Keeping the family's profit unchanged and after giving everyone an equal share of the profit, find what fraction of the total profit can be reinvested.

Discussion

21.	Convert the given frequency distribution into a continuous grouped frequency distribution.Class intervalFrequency150−1537154−1577158−16115162−16510166−1695170−1736In which intervals would 153.5 and 157.5 be included?
Answer» Convert the given frequency distribution into a continuous grouped frequency distribution. $\begin{matrix} Class interval & Frequency 150 - 153 & 7 154 - 157 & 7 158 - 161 & 15 162 - 165 & 10 166 - 169 & 5 170 - 173 & 6 \end{matrix}$ In which intervals would 153.5 and 157.5 be included?

Discussion

22.	Find the product of 4.65 and 1512.
Answer» Find the product of 4.65 and $\frac{15}{12}$ .

Discussion

23.	A mat in the shape of a parallelogram has a height of 4 cm and a base of 3 cm. How much would it cost to cover a parallelogram shaped hall with an area of 180 sq. cm with mats, if each mat costs Rs.7?
Answer» A mat in the shape of a parallelogram has a height of 4 cm and a base of 3 cm. How much would it cost to cover a parallelogram shaped hall with an area of 180 sq. cm with mats, if each mat costs Rs.7?

Discussion

24.	23 The value of }A and }B is }A+A+A=BA for:a) }5 and }1 (b) }4 and }2 (c) }3 and }2 (d) }4 and }1
Answer» 23 The value of }A and }B is }A+A+A=BA for:a) }5 and }1 (b) }4 and }2 (c) }3 and }2 (d) }4 and }1

Discussion

25.	Which of the following is/are factor(s) of49p2−36?
Answer» Which of the following is/are factor(s) of $49 p^{2} - 36 ?$

Discussion

26.	Find the sum (in degrees) of any two adjacent angles in the given figure.180
Answer» Find the sum (in degrees) of any two adjacent angles in the given figure. 180

Discussion

27.	Tap the cards with similar shapes.
Answer» Tap the cards with similar shapes.

Discussion

28.	If x is a digit such that the number ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯18 x 71 is divisible by 3, find possible vaues of x.
Answer» If x is a digit such that the number $¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 18 x 71$ is divisible by 3, find possible vaues of x.

Discussion

29.	A man walked on a road for 1 hour. The transformation process is ___ .
Answer» A man walked on a road for 1 hour. The transformation process is ___ .

Discussion

30.	What is the factorization of x2+7x−8?
Answer» What is the factorization of $x^{2} + 7 x - 8$ ?

Discussion

31.	The perimeter of a rectangular swimming pool is 64 m. If its length and breadth are in the ratio of 5 : 3, then find the length of the pool (in metre).
Answer» The perimeter of a rectangular swimming pool is $64 m$ . If its length and breadth are in the ratio of $5 : 3$ , then find the length of the pool (in metre).

Discussion

32.	The two adjacent sides of a parallelogram are 2^i+4^j−5^k and ^i+2^j+3^k, then the unit vector parallel to its diagonal is
Answer» The two adjacent sides of a parallelogram are $2^i + 4^j - 5^k$ and $^i + 2^j + 3^k,$ then the unit vector parallel to its diagonal is

Discussion

33.	Subtract 34 from 117.
Answer» Subtract $\frac{3}{4}$ from $\frac{11}{7}$ .

Discussion

34.	Let △=∣∣∣∣∣−f(x)g(x)−h(x)g(y)−h(y)f(y)−h(z)f(z)−g(z)∣∣∣∣∣, then which of the following statement is not correct?(where Mij and Cij are minor and co-factor of element aij and f,g,h are odd functions)
Answer» Let $△ = ∣ ∣∣∣ ∣ \begin{matrix} - f (x) & g (x) & - h (x) g (y) & - h (y) & f (y) - h (z) & f (z) & - g (z) \end{matrix} ∣ ∣∣∣ ∣,$ then which of the following statement is not correct? (where $M_{i j}$ and $C_{i j}$ are minor and co-factor of element $a_{i j}$ and $f, g, h$ are odd functions)

Discussion

35.	If the fifth term of an AP is 25 and the ninth term is 37, then find the common difference of the AP.
Answer» If the fifth term of an AP is 25 and the ninth term is 37, then find the common difference of the AP.

Discussion

36.	Find the sum of 20 terms of the A.P. 1, 4, 7, 10, ......
Answer» Find the sum of 20 terms of the A.P. 1, 4, 7, 10, ......

Discussion

37.	In the given figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB.Show that OA2+OB2+OC2−OD2−OE2−OF2=AF2+BD2+CE2
Answer» In the given figure, O is a point in the interior of a triangle ABC, OD $⊥$ BC, OE $⊥$ AC and OF $⊥$ AB. Show that $O A^{2} + O B^{2} + O C^{2} - O D^{2} - O E^{2} - O F^{2} = A F^{2} + B D^{2} + C E^{2}$

Discussion

38.	Calculate the total number of cars represented in the histogram.
Answer» Calculate the total number of cars represented in the histogram.

38.

Calculate the total number of cars represented in the histogram.

Answer»

Calculate the total number of cars represented in the histogram.

Discussion

39.	Sristi’s salary is same as 4 times Azar’s salary. If together they earn Rs 3,750 a month, find their individual salaries.
Answer» Sristi’s salary is same as 4 times Azar’s salary. If together they earn Rs 3,750 a month, find their individual salaries.

Discussion

40.	Queston 4(ii) The following graph shows the temperature forecast and the actual temperature for each day of a week. What was the maximum forecast temperature during the week?
Answer» Queston 4(ii) The following graph shows the temperature forecast and the actual temperature for each day of a week. What was the maximum forecast temperature during the week?

Discussion

41.	Question 3: Draw rough diagrams of two angles such that they have: (a) Two points in common.
Answer» Question 3: Draw rough diagrams of two angles such that they have: (a) Two points in common.

Discussion

42.	A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of whitewashing the wall is Rs. 20 per m2.
Answer» A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of whitewashing the wall is Rs. 20 per $m^{2}$ .

Discussion

43.

Prepare Simple Cash Book from the following transactions of Simran, Delhi: 2019 ₹ 2019 ₹ March 1 Simran commenced business with cash 65,000 March 17 Paid for miscellaneous expenses 450 March 3 Bought goods for cash, CGST and SGST paid 6% cash 6,850 March 19 Received cash from Mr. Trilok Chand 4,850 March 4 Paid cash to Mr. Mohan 950 March 22 Purchased goods, CGST and SGST paid 6% each 2,500 March 6 Deposited in Bank 40,000 March 22 Paid Salary 4,000 March 6 Paid for office furniture in cash, CGST and SGST paid 6% each 4,650 March 25 Paid rent, CGST and SGST paid 6% each 900 March 9 Sold goods for cash charged CGST and SGST 6% each 30,000 March 28 Paid electricity bill 350 March 12 Paid wages in cash 1,200 March 29 Paid for advertising, CGST and SGST paid 6% each 400 March 13 Paid for Stationery, CGST and SGST paid 6% each 400 March 31 Paid into bank 25,000 March 15 Sold goods for cash, charged CGST and SGST 6% each 25,000

Answer» Prepare Simple Cash Book from the following transactions of Simran, Delhi:


2019		₹	2019		₹
March 1	Simran commenced business with cash	65,000	March 17	Paid for miscellaneous expenses	450
March 3	Bought goods for cash, CGST and SGST paid 6% cash	6,850	March 19	Received cash from Mr. Trilok Chand	4,850
March 4	Paid cash to Mr. Mohan	950	March 22	Purchased goods, CGST and SGST paid 6% each	2,500
March 6	Deposited in Bank	40,000	March 22	Paid Salary	4,000
March 6	Paid for office furniture in cash, CGST and SGST paid 6% each	4,650	March 25	Paid rent, CGST and SGST paid 6% each	900
March 9	Sold goods for cash charged CGST and SGST 6% each	30,000	March 28	Paid electricity bill	350
March 12	Paid wages in cash	1,200	March 29	Paid for advertising, CGST and SGST paid 6% each	400
March 13	Paid for Stationery, CGST and SGST paid 6% each	400	March 31	Paid into bank	25,000
March 15	Sold goods for cash, charged CGST and SGST 6% each	25,000

Discussion

44.	The cost of bike depreciates every year by 15% of its value at the beginning of the years. If the present cost of bike is Taking. 40000, find its cost after two years.
Answer» The cost of bike depreciates every year by 15% of its value at the beginning of the years. If the present cost of bike is Taking. 40000, find its cost after two years.

Discussion

45.	If A={1,2,3,4,5,6}, B={1,2}, then A−B=C . What of the following is true about C?
Answer» If A={1,2,3,4,5,6}, B={1,2}, then $A - B = C$ . What of the following is true about C?

Discussion

46.	A man buys two cows at 42500 and sold one of them at loss of 10% and sold other at profit of 10% find selling price of each cows if the cost price of both is the same?
Answer» A man buys two cows at 42500 and sold one of them at loss of 10% and sold other at profit of 10% find selling price of each cows if the cost price of both is the same?

Discussion

47.	Here is a histogram which is made up of bricks. 1 brick = 10,500 CDs sold. Carefully observe the histogram and answer the questions that follow: What is the no. of CDs sold during the period 2008 - 2013?
Answer» Here is a histogram which is made up of bricks. 1 brick = 10,500 CDs sold. Carefully observe the histogram and answer the questions that follow: What is the no. of CDs sold during the period 2008 - 2013?

47.

Here is a histogram which is made up of bricks. 1 brick = 10,500 CDs sold. Carefully observe the histogram and answer the questions that follow: What is the no. of CDs sold during the period 2008 - 2013?

Answer»

Here is a histogram which is made up of bricks. 1 brick = 10,500 CDs sold. Carefully observe the histogram and answer the questions that follow:

What is the no. of CDs sold during the period 2008 - 2013?

Discussion

48.	The mean of 40 observations was 160. It was detected that the value of 165 was wrongly copied as 125. Find the correct mean
Answer» The mean of 40 observations was 160. It was detected that the value of 165 was wrongly copied as 125. Find the correct mean

Discussion

49.

Question 31 If the quantities x and y vary directly with each other, then___of their corresponding values remains constant.

Answer»

Question 31

If the quantities x and y vary directly with each other, then___of their corresponding values remains constant.

Discussion

50.	List price of a cooler is Rs. 2563. The rate of VAT is 10%. The customer requests the shopkeeper to allow a discount in the price of the cooler to such an extent that the price remains Rs. 2,563 inclusive of VAT. Find the discount in the price of the cooler.
Answer» List price of a cooler is Rs. 2563. The rate of VAT is $10 %$ . The customer requests the shopkeeper to allow a discount in the price of the cooler to such an extent that the price remains Rs. 2,563 inclusive of VAT. Find the discount in the price of the cooler.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Find the equation of a line which passes through the mid point of (3,1) and (1,5). The slope of this line is perpendicular to another line having a slope of −13.

Find Arjun's present age if twenty years from now, he will be thrice as old as he is today.

In the representation of rational numbers, the number line extends ______ .

Assertion: Area of an equilateral triangle of side ‘a’ is =√34a2 Reason: The height of an equilateral triangle of side ‘a’ is =√34a2 Which of the following is correct?

A car Increases its speed with uniform rate from 20 km per hour to 50 km per hour in 10 seconds ,average speed of car is ?

5^8-3^8 is not divisible by i) 2. ii) 16. iii) 17. iv) 25 How to find out this

Use Euclid division lemma to show that the cube of any positive integer is in the form of 9m, 9m+ 1 or 9m+ 8

17. Find the least no which must be added to 525 to get a perfect square . Also find the square foot of the perfect square

The sum of the digits of a two digit number is 8. The digit in the units place is 1 more than six times the digit in the tens place. Find the number.

Question 37For rational numbers ab,cd and ef, we have ab×(cd+ef)= ___ + ____

Calculate missing frequencies, if median value is 28 and N =44 Class 0-10 10-20 20-30 30-40 40-50 50-60 No of students 3 ? 15 9 ? 4

Question 69 Solve the following: 2y−34−3y−52=y+34

Let P = 2^2 3^3 4^4 5^5 8^8 10^3, then the total numberof divisors will be

Question 131 Solve the following question: Find the smallest square number divisible by each of the numbers 8, 9 and 10.

10, _ ,74,100,202Find the mission term

A T-beam of flange width 1200mm, flange thickness 100 mm, rib width 275 mm has an effective depth of 550 mm and is reinforced with 6 bars of 25 mmϕ. The ultimate MOR will be ____ kNm. [Use M30 concrete and Fe415 steel]548.21

Expand: (7m−3n−4k)2

Among the numbers 2250,3200,4150,5100 the greatest is which number

Given the profit share distribution as follows:Keeping the family's profit unchanged and after giving everyone an equal share of the profit, find what fraction of the total profit can be reinvested.

Convert the given frequency distribution into a continuous grouped frequency distribution.Class intervalFrequency150−1537154−1577158−16115162−16510166−1695170−1736In which intervals would 153.5 and 157.5 be included?

Find the product of 4.65 and 1512.

A mat in the shape of a parallelogram has a height of 4 cm and a base of 3 cm. How much would it cost to cover a parallelogram shaped hall with an area of 180 sq. cm with mats, if each mat costs Rs.7?

23 The value of }A and }B is }A+A+A=BA for:a) }5 and }1 (b) }4 and }2 (c) }3 and }2 (d) }4 and }1

Which of the following is/are factor(s) of49p2−36?

Find the sum (in degrees) of any two adjacent angles in the given figure.180

Tap the cards with similar shapes.

If x is a digit such that the number ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯18 x 71 is divisible by 3, find possible vaues of x.

A man walked on a road for 1 hour. The transformation process is ___ .

What is the factorization of x2+7x−8?

The perimeter of a rectangular swimming pool is 64 m. If its length and breadth are in the ratio of 5 : 3, then find the length of the pool (in metre).

The two adjacent sides of a parallelogram are 2^i+4^j−5^k and ^i+2^j+3^k, then the unit vector parallel to its diagonal is

Subtract 34 from 117.

Let △=∣∣∣∣∣−f(x)g(x)−h(x)g(y)−h(y)f(y)−h(z)f(z)−g(z)∣∣∣∣∣, then which of the following statement is not correct?(where Mij and Cij are minor and co-factor of element aij and f,g,h are odd functions)

If the fifth term of an AP is 25 and the ninth term is 37, then find the common difference of the AP.

Find the sum of 20 terms of the A.P. 1, 4, 7, 10, ......

In the given figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB.Show that OA2+OB2+OC2−OD2−OE2−OF2=AF2+BD2+CE2

Calculate the total number of cars represented in the histogram.

Sristi’s salary is same as 4 times Azar’s salary. If together they earn Rs 3,750 a month, find their individual salaries.

Queston 4(ii) The following graph shows the temperature forecast and the actual temperature for each day of a week. What was the maximum forecast temperature during the week?

Question 3: Draw rough diagrams of two angles such that they have: (a) Two points in common.

A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of whitewashing the wall is Rs. 20 per m2.

The cost of bike depreciates every year by 15% of its value at the beginning of the years. If the present cost of bike is Taking. 40000, find its cost after two years.

If A={1,2,3,4,5,6}, B={1,2}, then A−B=C . What of the following is true about C?

A man buys two cows at 42500 and sold one of them at loss of 10% and sold other at profit of 10% find selling price of each cows if the cost price of both is the same?

Here is a histogram which is made up of bricks. 1 brick = 10,500 CDs sold. Carefully observe the histogram and answer the questions that follow: What is the no. of CDs sold during the period 2008 - 2013?

The mean of 40 observations was 160. It was detected that the value of 165 was wrongly copied as 125. Find the correct mean

Question 31 If the quantities x and y vary directly with each other, then___of their corresponding values remains constant.

List price of a cooler is Rs. 2563. The rate of VAT is 10%. The customer requests the shopkeeper to allow a discount in the price of the cooler to such an extent that the price remains Rs. 2,563 inclusive of VAT. Find the discount in the price of the cooler.

Question 37For rational numbers ab,cd and ef, we have ab×(cd+ef)= _ + __