25365 + Interview Questions in Mathematics

1.	If S and T are two sets such that S has 21 elelments, T has 32 elements and S∩T had 11 elements, how many elements does S∪T have?
Answer» If $S$ and $T$ are two sets such that $S$ has $21$ elelments, $T$ has $32$ elements and $S \cap T$ had $11$ elements, how many elements does $S \cup T$ have?

Discussion

2.	The sum of two natural numbers is 15 and the difference between their squares is 15. The difference between the numbers is ___.
Answer» The sum of two natural numbers is 15 and the difference between their squares is 15. The difference between the numbers is ___.

Discussion

3.	(6a−b)(6a+b) = .
Answer» $(6 a - b) (6 a + b)$ = .

Discussion

4.	How to differentiate y = 4x - x^2 in complete detail ?
Answer» How to differentiate y = 4x - x^2 in complete detail ?

Discussion

5.	Mark the correct alternative in the following question:If 53-5×5311=538x, then x=?a -12 b -34 c 34 d 43
Answer» Mark the correct alternative in the following question: $If {(\frac{5}{3})}^{- 5} \times {(\frac{5}{3})}^{11} = {(\frac{5}{3})}^{8 x}, then x = ? (a) - \frac{1}{2} (b) - \frac{3}{4} (c) \frac{3}{4} (d) \frac{4}{3}$

Discussion

6.	If y=(x+6)^2,dy/dx=?
Answer» If y=(x+6)^2,dy/dx=?

Discussion

7.	The volume of a cube is 64 cm3. Its surface area is:
Answer» The volume of a cube is $64 c m^{3} .$ Its surface area is:

Discussion

8.	Solve this 96abc(3a−12)(5b−30)÷144(a−4)(b−6)
Answer» Solve this $96 a b c (3 a - 12) (5 b - 30) \div 144 (a - 4) (b - 6)$

Discussion

9.	do parallel vectors have same magnitude ?
Answer» do parallel vectors have same magnitude ?

Discussion

10.	Let f(x)=ex+ln(x2+x+1)+x3+x2+1 and g is the inverse of function f. Then the value of g′′(2) is
Answer» Let $f (x) = e^{x + ln (x^{2} + x + 1)} + x^{3} + x^{2} + 1$ and $g$ is the inverse of function $f .$ Then the value of $g^{''} (2)$ is

Discussion

11.	Statement 1: Product of two integers with the same signs is always a positive integer. Statement 2: Product of two integers with different signs is always a positive integer. Choose the correct option:
Answer» Statement 1: Product of two integers with the same signs is always a positive integer. Statement 2: Product of two integers with different signs is always a positive integer. Choose the correct option:

11.

Statement 1: Product of two integers with the same signs is always a positive integer. Statement 2: Product of two integers with different signs is always a positive integer. Choose the correct option:

Answer»

Statement 1: Product of two integers with the same signs is always a positive integer.

Statement 2: Product of two integers with different signs is always a positive integer.

Choose the correct option:

Discussion

12.	Factorise : ab(x2+y2)−xy(a2+b2)
Answer» Factorise : $a b (x^{2} + y^{2}) - x y (a^{2} + b^{2})$

12.

Factorise : ab(x2+y2)−xy(a2+b2)

Answer»

Factorise :

$a b (x^{2} + y^{2}) - x y (a^{2} + b^{2})$

Discussion

13.	Which of the following is a quadratic binomial?
Answer» Which of the following is a quadratic binomial?

Discussion

14.	In how many of the given years was the number of students more than 60?
Answer» In how many of the given years was the number of students more than 60?

14.

In how many of the given years was the number of students more than 60?

Answer»

In how many of the given years was the number of students more than 60?

Discussion

15.	Question 83 In a Hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?
Answer» Question 83 In a Hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?

15.

Question 83 In a Hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?

Answer»

Question 83

In a Hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?

Discussion

16.	Ram purchased 1.5 kgs of tomato for 35 rupees. If 5.6 kg of tomato is required to prepare 5 kg tomato pickle. What is the cost of 1 kg tomato pickle, given that only tomatoes are used for the preparation of the pickle?
Answer» Ram purchased 1.5 kgs of tomato for 35 rupees. If 5.6 kg of tomato is required to prepare 5 kg tomato pickle. What is the cost of 1 kg tomato pickle, given that only tomatoes are used for the preparation of the pickle?

Discussion

17.	The chords AC and ZX are of same length. P is the center of the circle of radius 10 units. If ZY = 6 units, the length of PB is units.
Answer» The chords AC and ZX are of same length. P is the center of the circle of radius 10 units. If ZY = 6 units, the length of PB is units.

Discussion

18.	Which one of the following has multiline symmetry?
Answer» Which one of the following has multiline symmetry?

Discussion

19.	Simplify 8(3h−4)+5(h−2).
Answer» Simplify $8 (3 h - 4) + 5 (h - 2)$ .

Discussion

20.	Which among the following is NOT a perfect square number?
Answer» Which among the following is NOT a perfect square number?

Discussion

21.	4a2+4ab+b2=
Answer» $4 a^{2} + 4 a b + b^{2} =$

Discussion

22.	use euclid division algorithm to find the HCF of: 196 and 38220
Answer» use euclid division algorithm to find the HCF of: 196 and 38220

Discussion

23.	Question 39Find the value of:(i) x3+y3−12xy+64, when x + y = - 4(ii) x3−8y3−36xy−216, when x = 2y + 6
Answer» Question 39 Find the value of: (i) $x^{3} + y^{3} - 12 x y + 64$ , when x + y = - 4 (ii) $x^{3} - 8 y^{3} - 36 x y - 216$ , when x = 2y + 6

Discussion

24.	Fill in the blanks:- 62 + 72 + (__)2 = 432
Answer» Fill in the blanks:- $6^{2}$ + $7^{2}$ + $($ __ $)^{2}$ = $43^{2}$

Discussion

25.	Question 107 Tell which property allows you to compute 15×[56×79]as[15×56]×79
Answer» Question 107 Tell which property allows you to compute $\frac{1}{5} \times [\frac{5}{6} \times \frac{7}{9}] a s [\frac{1}{5} \times \frac{5}{6}] \times \frac{7}{9}$

Discussion

26.	Solve graphically the following system of equations.2x−y+1 = 0x−2y+8 = 0
Answer» Solve graphically the following system of equations. 2x−y+1 = 0 x−2y+8 = 0

Discussion

27.	The rainfall recorded on a certain day was 5 cm. Find the volume of water that fell on a 2-hectare field.
Answer» The rainfall recorded on a certain day was $5 c m$ . Find the volume of water that fell on a $2$ -hectare field.

Discussion

28.	Show that the set of letters needed to spell CATARACT and the set of letters needed to spell TRACT are equal.
Answer» Show that the set of letters needed to spell $C A T A R A C T$ and the set of letters needed to spell $T R A C T$ are equal.

Discussion

29.	The sides of a triangle are in the ratio 2 : 3: 4 and the longest side is 20 centimetres longer than the shortest side. Compute the length of each side.
Answer» The sides of a triangle are in the ratio 2 : 3: 4 and the longest side is 20 centimetres longer than the shortest side. Compute the length of each side.

Discussion

30.	How many perfect squares are between 100 and 200?
Answer» How many perfect squares are between 100 and 200?

Discussion

31.	A principle of Rs. 40,000 is deposited in a bank which offers a simple interest at a rate of 10% a year. What is the amount at the end of 2 years?
Answer» A principle of Rs. 40,000 is deposited in a bank which offers a simple interest at a rate of 10% a year. What is the amount at the end of 2 years?

Discussion

32.	A principal of Rs. 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?
Answer» A principal of Rs. 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?

Discussion

33.	y varies inversely as x.If x is increased by 25% then the value of percentage change to y is 1)80% 2)75% 3)60% 4)62.5
Answer» y varies inversely as x.If x is increased by 25% then the value of percentage change to y is 1)80% 2)75% 3)60% 4)62.5

Discussion

34.	Analyze the pattern and obtain the next term.71, 65, 59, 53, 47
Answer» Analyze the pattern and obtain the next term. 71, 65, 59, 53, 47

Discussion

35.	8. Construct an isosceles triangle whose base is 7 cm.altitude is 5 cm.then dram another triangle whose sides are 1 1/2 times corresponding sides of the isosceles triangle?
Answer» 8. Construct an isosceles triangle whose base is 7 cm.altitude is 5 cm.then dram another triangle whose sides are 1 1/2 times corresponding sides of the isosceles triangle?

Discussion

36.	M/s. Auto Help, Delhi purchased 500 pieces of motor cycle horns at ₹ 100 each plus IGST 12% from M/s G.S., Auto, Ghaziabad, (UP). Trade terms settled were: Trade Discount will be allowed 10% and Cash Discount 5% if payment is made within 7 days. M/s. Auto Help made the payment after 30 days. Determine the amount of Trade Discount and Cash Discount.
Answer» M/s. Auto Help, Delhi purchased 500 pieces of motor cycle horns at ₹ 100 each plus IGST 12% from M/s G.S., Auto, Ghaziabad, (UP). Trade terms settled were: Trade Discount will be allowed 10% and Cash Discount 5% if payment is made within 7 days. M/s. Auto Help made the payment after 30 days. Determine the amount of Trade Discount and Cash Discount.

Discussion

37.	Question 10The following table shows the cumulative frequency distribution of marks of 800 students in an examination.MarksNumber of studentsBelow 1010Below 2050Below 30130Below 40270Below 50440Below 60570Below 70670Below 80740Below 90780Below 100800Construct a frequency distribution table for the data above.
Answer» Question 10 The following table shows the cumulative frequency distribution of marks of 800 students in an examination. $\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s B e l o w 10 & 10 B e l o w 20 & 50 B e l o w 30 & 130 B e l o w 40 & 270 B e l o w 50 & 440 B e l o w 60 & 570 B e l o w 70 & 670 B e l o w 80 & 740 B e l o w 90 & 780 B e l o w 100 & 800 \end{matrix}$ Construct a frequency distribution table for the data above.

Discussion

38.	During a practice match, a softball pitcher throws a ball whose height can be modeled by the equation h = −25t2 + 40t - 12, where h = height in feet and t = time in seconds. How long does it take for the ball to reach a height of 4 feet?
Answer» During a practice match, a softball pitcher throws a ball whose height can be modeled by the equation h = $- 25 t^{2}$ + 40t - 12, where h = height in feet and t = time in seconds. How long does it take for the ball to reach a height of 4 feet?

Discussion

39.	Find the value of ''a" so that 1-7x is a factor of -14x3-47x2-14x+a. Do it in Dickson method.
Answer» Find the value of ''a" so that 1-7x is a factor of -14x³-47x²-14x+a. Do it in Dickson method.

Discussion

40.	Question 22 The following pie chart represents the distribution of proteins in parts of human body. What is the central angle of the sector representing hormones enzymes and other proteins? (a) 120° (b) 144° (c) 156° (d) 176°
Answer» Question 22 The following pie chart represents the distribution of proteins in parts of human body. What is the central angle of the sector representing hormones enzymes and other proteins? (a) 120° (b) 144° (c) 156° (d) 176°

40.

Question 22 The following pie chart represents the distribution of proteins in parts of human body. What is the central angle of the sector representing hormones enzymes and other proteins? (a) 120° (b) 144° (c) 156° (d) 176°

Answer»

Question 22

The following pie chart represents the distribution of proteins in parts of human body.

What is the central angle of the sector representing hormones enzymes and other proteins?

(a) 120°

(b) 144°

(c) 156°

(d) 176°

Discussion

41.	Find the measure of interior angle of a regular octagon.
Answer» Find the measure of interior angle of a regular octagon.

Discussion

42.	In figure ABC is an isosceles triangle in which AB = AC. CP \|\| AB and AP is the bisector of exterior ∠CAD of △ABC. Prove that ∠PAC=∠BCA and ABCP is a parallelogram.
Answer» In figure ABC is an isosceles triangle in which AB = AC. CP \|\| AB and AP is the bisector of exterior $∠ C A D o f △ A B C$ . Prove that $∠ P A C = ∠ B C A$ and ABCP is a parallelogram.

Discussion

43.	A and B can independently finish a piece fo work in 36 and 45 days respectively. They started working together and after a few days A left. After that B could finish the remaining work in 36 days. After how many days of working together did A leave?
Answer» A and B can independently finish a piece fo work in 36 and 45 days respectively. They started working together and after a few days A left. After that B could finish the remaining work in 36 days. After how many days of working together did A leave?

Discussion

44.	Question 4The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?
Answer» Question 4 The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?

Discussion

45.	Question 43State whether the following statement is true (T) or false (F).If x3+1=715, then x3=615
Answer» Question 43 State whether the following statement is true (T) or false (F). If $\frac{x}{3} + 1 = \frac{7}{15}, t h e n \frac{x}{3} = \frac{6}{15}$

45.

Question 43State whether the following statement is true (T) or false (F).If x3+1=715, then x3=615

Answer»

Question 43

State whether the following statement is true (T) or false (F).

If $\frac{x}{3} + 1 = \frac{7}{15}, t h e n \frac{x}{3} = \frac{6}{15}$

Discussion

46.	What is co-terminus vector?
Answer» What is co-terminus vector?

Discussion

47.	The weight of 3 children with respect to their age is given. Find the weight of the15 year old child (in kg).45
Answer» The weight of 3 children with respect to their age is given. Find the weight of the 15 year old child (in kg). 45

Discussion

48.	In how many years ₹700 will amount to ₹847 at a compound interest rate of 10 p.c.p.a.
Answer» In how many years ₹700 will amount to ₹847 at a compound interest rate of 10 p.c.p.a.

Discussion

49.	What should be the value of a, if the value of 2x2+6a–5x+10 is 25, when x=1?
Answer» What should be the value of a, if the value of $2 x^{2} + 6 a - 5 x + 10$ is $25$ , when $x = 1$ ?

Discussion

50.	Factorise: 25a2−4b2+28bc−49c2
Answer» Factorise: $25 a^{2} - 4 b^{2} + 28 b c - 49 c^{2}$

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

If S and T are two sets such that S has 21 elelments, T has 32 elements and S∩T had 11 elements, how many elements does S∪T have?

The sum of two natural numbers is 15 and the difference between their squares is 15. The difference between the numbers is ___.

(6a−b)(6a+b) = .

How to differentiate y = 4x - x^2 in complete detail ?

Mark the correct alternative in the following question:If 53-5×5311=538x, then x=?a -12 b -34 c 34 d 43

If y=(x+6)^2,dy/dx=?

The volume of a cube is 64 cm3. Its surface area is:

Solve this 96abc(3a−12)(5b−30)÷144(a−4)(b−6)

do parallel vectors have same magnitude ?

Let f(x)=ex+ln(x2+x+1)+x3+x2+1 and g is the inverse of function f. Then the value of g′′(2) is

Statement 1: Product of two integers with the same signs is always a positive integer. Statement 2: Product of two integers with different signs is always a positive integer. Choose the correct option:

Factorise : ab(x2+y2)−xy(a2+b2)

Which of the following is a quadratic binomial?

In how many of the given years was the number of students more than 60?

Question 83 In a Hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?

Ram purchased 1.5 kgs of tomato for 35 rupees. If 5.6 kg of tomato is required to prepare 5 kg tomato pickle. What is the cost of 1 kg tomato pickle, given that only tomatoes are used for the preparation of the pickle?

The chords AC and ZX are of same length. P is the center of the circle of radius 10 units. If ZY = 6 units, the length of PB is units.

Which one of the following has multiline symmetry?

Simplify 8(3h−4)+5(h−2).

Which among the following is NOT a perfect square number?

4a2+4ab+b2=

use euclid division algorithm to find the HCF of: 196 and 38220

Question 39Find the value of:(i) x3+y3−12xy+64, when x + y = - 4(ii) x3−8y3−36xy−216, when x = 2y + 6

Fill in the blanks:- 62 + 72 + (__)2 = 432

Question 107 Tell which property allows you to compute 15×[56×79]as[15×56]×79

Solve graphically the following system of equations.2x−y+1 = 0x−2y+8 = 0

The rainfall recorded on a certain day was 5 cm. Find the volume of water that fell on a 2-hectare field.

Show that the set of letters needed to spell CATARACT and the set of letters needed to spell TRACT are equal.

The sides of a triangle are in the ratio 2 : 3: 4 and the longest side is 20 centimetres longer than the shortest side. Compute the length of each side.

How many perfect squares are between 100 and 200?

A principle of Rs. 40,000 is deposited in a bank which offers a simple interest at a rate of 10% a year. What is the amount at the end of 2 years?

A principal of Rs. 40,000 is compound annually at the rate of 10% for 2 years. What is the compound interest and is it greater than the simple interest for the same rate and the same time?

y varies inversely as x.If x is increased by 25% then the value of percentage change to y is 1)80% 2)75% 3)60% 4)62.5

Analyze the pattern and obtain the next term.71, 65, 59, 53, 47

8. Construct an isosceles triangle whose base is 7 cm.altitude is 5 cm.then dram another triangle whose sides are 1 1/2 times corresponding sides of the isosceles triangle?

During a practice match, a softball pitcher throws a ball whose height can be modeled by the equation h = −25t2 + 40t - 12, where h = height in feet and t = time in seconds. How long does it take for the ball to reach a height of 4 feet?

Find the value of ''a" so that 1-7x is a factor of -14x3-47x2-14x+a. Do it in Dickson method.

Question 22 The following pie chart represents the distribution of proteins in parts of human body. What is the central angle of the sector representing hormones enzymes and other proteins? (a) 120° (b) 144° (c) 156° (d) 176°

Find the measure of interior angle of a regular octagon.

In figure ABC is an isosceles triangle in which AB = AC. CP || AB and AP is the bisector of exterior ∠CAD of △ABC. Prove that ∠PAC=∠BCA and ABCP is a parallelogram.

A and B can independently finish a piece fo work in 36 and 45 days respectively. They started working together and after a few days A left. After that B could finish the remaining work in 36 days. After how many days of working together did A leave?

Question 4The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?

Question 43State whether the following statement is true (T) or false (F).If x3+1=715, then x3=615

What is co-terminus vector?

The weight of 3 children with respect to their age is given. Find the weight of the15 year old child (in kg).45

In how many years ₹700 will amount to ₹847 at a compound interest rate of 10 p.c.p.a.

What should be the value of a, if the value of 2x2+6a–5x+10 is 25, when x=1?

Factorise: 25a2−4b2+28bc−49c2