25365 + Interview Questions in Mathematics

1.	Every morning, Michael goes for a jog. He noticed that he is losing weight, as estimated by the equation y=mx−3, where y represents the weight loss in kilograms and x represents the number of months. If he has lost 13 kg in four months, what is the value of m?
Answer» Every morning, Michael goes for a jog. He noticed that he is losing weight, as estimated by the equation $y = m x - 3$ , where $y$ represents the weight loss in kilograms and $x$ represents the number of months. If he has lost $13$ kg in four months, what is the value of $m$ ?

Discussion

2.	26. Which of the following is a false statement? A) Every positive odd integer is the form 2q+1, where q is some integer B) Every positive odd integer is of the form 4q+1 or 4q+3, where q is some positive integer C) Every positive odd integer is of the form 6q+1 or 6q+3 or 6q+5, where q is some integer D) -5 and -9 are coprime integer
Answer» 26. Which of the following is a false statement? A) Every positive odd integer is the form 2q+1, where q is some integer B) Every positive odd integer is of the form 4q+1 or 4q+3, where q is some positive integer C) Every positive odd integer is of the form 6q+1 or 6q+3 or 6q+5, where q is some integer D) -5 and -9 are coprime integer

Discussion

3.	Question 86 (xvii)Using suitable identities, evaluate the following:(69.3)2−(30.7)2
Answer» Question 86 (xvii) Using suitable identities, evaluate the following: $(69.3)^{2} - (30.7)^{2}$

3.

Question 86 (xvii)Using suitable identities, evaluate the following:(69.3)2−(30.7)2

Answer»

Question 86 (xvii)

Using suitable identities, evaluate the following:

$(69.3)^{2} - (30.7)^{2}$

Discussion

4.	When someone says that two angles are supplementary to each other, what does it mean? [1 MARK]
Answer» When someone says that two angles are supplementary to each other, what does it mean? [1 MARK]

Discussion

5.	A kid ate 2 biscuits from a pack of 10 biscuits. What fraction of the total number of biscuits is he left with?
Answer» A kid ate 2 biscuits from a pack of 10 biscuits. What fraction of the total number of biscuits is he left with?

Discussion

6.	The population of a village is 20000. If the annual birth rate is 4% and the annual death rate 2%, calculate the population after two years.
Answer» The population of a village is 20000. If the annual birth rate is $4 %$ and the annual death rate $2 %$ , calculate the population after two years.

Discussion

7.	If n (P) = 5, n(Q) = 12 and n(PUQ) = 14 then n(P∩Q) =
Answer» If n (P) = 5, n(Q) = 12 and n(PUQ) = 14 then n(P∩Q) =

Discussion

8.	In the figure given below, if AB∥PQ. Then, ∠ACX ___ ∠PRC.
Answer» In the figure given below, if $A B ∥ P Q$ . Then, $∠ A C X$ ___ $∠ P R C$ .

8.

In the figure given below, if AB∥PQ. Then, ∠ACX ___ ∠PRC.

Answer»

In the figure given below, if $A B ∥ P Q$ . Then, $∠ A C X$ ___ $∠ P R C$ .

Discussion

9.	Sum of measure of exterior angle and interior angle of a vertex on a polyon is
Answer» Sum of measure of exterior angle and interior angle of a vertex on a polyon is

Discussion

10.	Question 83 (xiv) Multiply the following: −1009rs; 34r3s2
Answer» Question 83 (xiv) Multiply the following: $- \frac{100}{9} r s; \frac{3}{4} r^{3} s^{2}$

Discussion

11.	Question 3(i)Work out the following divisions(10x−25)÷5
Answer» Question 3(i) Work out the following divisions $(10 x - 25) \div 5$

Discussion

12.	4. While representing 9.3 or x why we are taking 1unit more adjacent to that?
Answer» 4. While representing 9.3 or x why we are taking 1unit more adjacent to that?

Discussion

13.	How to find cube root of single digit number like 4,3,5
Answer» How to find cube root of single digit number like 4,3,5

Discussion

14.	A tea-packet measures 10 cm×6 cm×4 cm. How many such tea-packets can be placed in a cardboard box of dimensions 50 cm×30 cm×0.2 m?
Answer» A tea-packet measures $10 c m \times 6 c m \times 4 c m$ . How many such tea-packets can be placed in a cardboard box of dimensions $50 c m \times 30 c m \times 0.2 m$ ?

Discussion

15.	Add: xy² + 4x²y – 7x²y - 3xy² + 3 and x²y + xy²
Answer» Add: xy² + 4x²y – 7x²y - 3xy² + 3 and x²y + xy²

Discussion

16.	It is known that a box of 800 electric bulbs contains 36 defective bulbs. One bulb is taken at random out of the box. What is the probability that the bulb chosen is non-defective?
Answer» It is known that a box of 800 electric bulbs contains 36 defective bulbs. One bulb is taken at random out of the box. What is the probability that the bulb chosen is non-defective?

Discussion

17.	The area of the following shape (in sq. cm) is ______ .48
Answer» The area of the following shape (in sq. cm) is ______ . 48

Discussion

18.	Which of the following numbers is not irrational?
Answer» Which of the following numbers is not irrational?

Discussion

19.	Question 93 (iii) The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle. x2−7x+10
Answer» Question 93 (iii) The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle. $x^{2} - 7 x + 10$

19.

Question 93 (iii) The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle. x2−7x+10

Answer»

Question 93 (iii)

The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.

$x^{2} - 7 x + 10$

Discussion

20.	Question 84 (x)Simplify(b2−49)(b+7)+343
Answer» Question 84 (x) Simplify $(b^{2} - 49) (b + 7) + 343$

20.

Question 84 (x)Simplify(b2−49)(b+7)+343

Answer»

Question 84 (x)

Simplify

$(b^{2} - 49) (b + 7) + 343$

Discussion

21.	Which of the following statements demonstrates the identity property of multiplication?
Answer» Which of the following statements demonstrates the identity property of multiplication?

Discussion

22.	The decimal number 8.524 is equal to:
Answer» The decimal number 8.524 is equal to:

Discussion

23.	5 masons built a wall in 2 days. If the wall was to be built in a single day, then how many masons should be employed?
Answer» 5 masons built a wall in 2 days. If the wall was to be built in a single day, then how many masons should be employed?

Discussion

24.	Question 42(i)Write the Y-coordinate (ordinate) of the given point.(3,5)
Answer» Question 42(i) Write the Y-coordinate (ordinate) of the given point. (3,5)

Discussion

25.	Find the smallest natural number by which 1,200 should be multiplied so that the square root of the product is a rational number.
Answer» Find the smallest natural number by which 1,200 should be multiplied so that the square root of the product is a rational number.

Discussion

26.	19. How 415=260
Answer» 19. How 415=260

Discussion

27.	Evaluate [1−(1−(1−n)−1)−1]−1
Answer» Evaluate $[1 - (1 - (1 - n)^{- 1})^{- 1}]^{- 1}$

Discussion

28.	Question 78(ii)Harshna gave her car for service at service station on 27-05-2009 and was charged as followsRs. 1105.12 for all other services and VAT 12.5%.Find the bill amount.
Answer» Question 78(ii) Harshna gave her car for service at service station on 27-05-2009 and was charged as follows Rs. 1105.12 for all other services and VAT 12.5%. Find the bill amount.

28.

Question 78(ii)Harshna gave her car for service at service station on 27-05-2009 and was charged as followsRs. 1105.12 for all other services and VAT 12.5%.Find the bill amount.

Answer»

Question 78(ii)

Harshna gave her car for service at service station on 27-05-2009 and was charged as follows

Rs. 1105.12 for all other services and VAT 12.5%.

Find the bill amount.

Discussion

29.	23. The length of a minute hand of a wall clock is 8.4cm, then the area swept by it in 15 minutes:\lbrack AMU:2006-07)(a) 55 cm2to (b) 55.22 cm2(c) 55.44 cm2(d) 55.3 cm2
Answer» 23. The length of a minute hand of a wall clock is 8.4cm, then the area swept by it in 15 minutes:\lbrack AMU:2006-07)(a) 55 cm2to (b) 55.22 cm2(c) 55.44 cm2(d) 55.3 cm2

Discussion

30.	15. What is the relation between edge length (a) and radius (r) in hexagonal close packing?
Answer» 15. What is the relation between edge length (a) and radius (r) in hexagonal close packing?

Discussion

31.	Find the square root of 1,764 using prime factorization method.
Answer» Find the square root of $1, 764$ using prime factorization method.

Discussion

32.	Find the area of rhombus whose diagonols are 16 cm and 24 cm. lAnswers is 192 cm sq.
Answer» Find the area of rhombus whose diagonols are 16 cm and 24 cm. lAnswers is 192 cm sq.

Discussion

33.	Choose the correct option:The equation of the line which passes through (0, 0) and (1, 1) is ______________.A. y = xB. y = − xC. y = 1D. x = 1
Answer» Choose the correct option: The equation of the line which passes through (0, 0) and (1, 1) is ______________. A. y = x B. y = − x C. y = 1 D. x = 1

33.

Choose the correct option:The equation of the line which passes through (0, 0) and (1, 1) is ______________.A. y = xB. y = − xC. y = 1D. x = 1

Answer»

Choose the correct option:

The equation of the line which passes through (0, 0) and (1, 1) is ______________.

A. y = x

B. y = − x

C. y = 1

D. x = 1

Discussion

34.	The length of a rectangle with perimeter 1414 cm is 438 cm. What is the breadth of the rectangle?
Answer» The length of a rectangle with perimeter $14 \frac{1}{4}$ cm is $4 \frac{3}{8}$ cm. What is the breadth of the rectangle?

Discussion

35.	If A and B are the centres of the purple semicircles, what portion of the whole image is shaded red?
Answer» If A and B are the centres of the purple semicircles, what portion of the whole image is shaded red?

Discussion

36.	Write an equation connecting the average speed and the time of travel of a vehicle travelling 200 kilometres. Is the time inversely proportional to the average speed?
Answer» Write an equation connecting the average speed and the time of travel of a vehicle travelling 200 kilometres. Is the time inversely proportional to the average speed?

Discussion

37.	Question 91The rational numbers can be represented on the number line.
Answer» Question 91 The rational numbers can be represented on the number line.

Discussion

38.	The mass of Mr x is 50kg and the uncertainty in measurement is 1 kg.The mass of Mr y is 55kg and the uncertainty in measurement is 2 kg. Find the difference of their masses with correct uncertainties.
Answer» The mass of Mr x is 50kg and the uncertainty in measurement is 1 kg.The mass of Mr y is 55kg and the uncertainty in measurement is 2 kg. Find the difference of their masses with correct uncertainties.

Discussion

39.	Choose an appropriate singular noun for the blank. If you were older, you could apply for the entrance ______.
Answer» Choose an appropriate singular noun for the blank. If you were older, you could apply for the entrance ______.

39.

Choose an appropriate singular noun for the blank. If you were older, you could apply for the entrance ______.

Answer»

Choose an appropriate singular noun for the blank.

If you were older, you could apply for the entrance ______.

Discussion

40.	Question 65 Sales tax is always calculated on the cost price of an item and is added to the value of the bill.
Answer» Question 65 Sales tax is always calculated on the cost price of an item and is added to the value of the bill.

40.

Question 65 Sales tax is always calculated on the cost price of an item and is added to the value of the bill.

Answer»

Question 65

Sales tax is always calculated on the cost price of an item and is added to the value of the bill.

Discussion

41.	Which of the following represents a line graph for the given histogram?
Answer» Which of the following represents a line graph for the given histogram?

Discussion

42.	√182.25 = ?
Answer» $\sqrt{182.25}$ = ?

Discussion

43.	45.a/x-a + b/ x-b = 2c/x-c find x by factorization
Answer» 45.a/x-a + b/ x-b = 2c/x-c find x by factorization

Discussion

44.	A and B working together can mow a field in 56 days and with the help of C, they could have mowed it in 42 days. How long would C take by himself?
Answer» A and B working together can mow a field in 56 days and with the help of C, they could have mowed it in 42 days. How long would C take by himself?

Discussion

45.	in the given figure 1+i is center of circle . a square abcd is inscribed in circle and a is represented by 4+5i then vertix of b is
Answer» in the given figure 1+i is center of circle . a square abcd is inscribed in circle and a is represented by 4+5i then vertix of b is

Discussion

46.	Which of the following instruments could have been used to carve the given design?
Answer» Which of the following instruments could have been used to carve the given design?

Discussion

47.	In the following figure, the area of segment ACB is(a) π3-32r2(b) π3+32r2(c) π3-23r2(d) None of theseFigure
Answer» In the following figure, the area of segment ACB is (a) $(\frac{π}{3} - \frac{\sqrt{3}}{2}) r^{2}$ (b) $(\frac{π}{3} + \frac{\sqrt{3}}{2}) r^{2}$ (c) $(\frac{π}{3} - \frac{\sqrt{2}}{3}) r^{2}$ (d) None of these Figure

Discussion

48.	show that any point on the bisector of an angl is equidis†an t from the arms of the angle
Answer» show that any point on the bisector of an angl is equidis†an t from the arms of the angle

Discussion

49.	Question 96 Solve the following question: Using prime factorization, find the square roots of a) 11025 b) 4761
Answer» Question 96 Solve the following question: Using prime factorization, find the square roots of a) 11025 b) 4761

49.

Question 96 Solve the following question: Using prime factorization, find the square roots of a) 11025 b) 4761

Answer»

Question 96

Solve the following question:

Using prime factorization, find the square roots of

a) 11025
b) 4761

Discussion

50.	What is the units digit of the cube of a number whose unit digit is 7?
Answer» What is the units digit of the cube of a number whose unit digit is 7?

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Every morning, Michael goes for a jog. He noticed that he is losing weight, as estimated by the equation y=mx−3, where y represents the weight loss in kilograms and x represents the number of months. If he has lost 13 kg in four months, what is the value of m?

Question 86 (xvii)Using suitable identities, evaluate the following:(69.3)2−(30.7)2

When someone says that two angles are supplementary to each other, what does it mean? [1 MARK]

A kid ate 2 biscuits from a pack of 10 biscuits. What fraction of the total number of biscuits is he left with?

The population of a village is 20000. If the annual birth rate is 4% and the annual death rate 2%, calculate the population after two years.

If n (P) = 5, n(Q) = 12 and n(PUQ) = 14 then n(P∩Q) =

In the figure given below, if AB∥PQ. Then, ∠ACX ___ ∠PRC.

Sum of measure of exterior angle and interior angle of a vertex on a polyon is

Question 83 (xiv) Multiply the following: −1009rs; 34r3s2

Question 3(i)Work out the following divisions(10x−25)÷5

4. While representing 9.3 or x why we are taking 1unit more adjacent to that?

How to find cube root of single digit number like 4,3,5

A tea-packet measures 10 cm×6 cm×4 cm. How many such tea-packets can be placed in a cardboard box of dimensions 50 cm×30 cm×0.2 m?

Add: xy² + 4x²y – 7x²y - 3xy² + 3 and x²y + xy²

It is known that a box of 800 electric bulbs contains 36 defective bulbs. One bulb is taken at random out of the box. What is the probability that the bulb chosen is non-defective?

The area of the following shape (in sq. cm) is ______ .48

Which of the following numbers is not irrational?

Question 93 (iii) The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle. x2−7x+10

Question 84 (x)Simplify(b2−49)(b+7)+343

Which of the following statements demonstrates the identity property of multiplication?

The decimal number 8.524 is equal to:

5 masons built a wall in 2 days. If the wall was to be built in a single day, then how many masons should be employed?

Question 42(i)Write the Y-coordinate (ordinate) of the given point.(3,5)

Find the smallest natural number by which 1,200 should be multiplied so that the square root of the product is a rational number.

19. How 415=260

Evaluate [1−(1−(1−n)−1)−1]−1

Question 78(ii)Harshna gave her car for service at service station on 27-05-2009 and was charged as followsRs. 1105.12 for all other services and VAT 12.5%.Find the bill amount.

23. The length of a minute hand of a wall clock is 8.4cm, then the area swept by it in 15 minutes:\lbrack AMU:2006-07)(a) 55 cm2to (b) 55.22 cm2(c) 55.44 cm2(d) 55.3 cm2

15. What is the relation between edge length (a) and radius (r) in hexagonal close packing?

Find the square root of 1,764 using prime factorization method.

Find the area of rhombus whose diagonols are 16 cm and 24 cm. lAnswers is 192 cm sq.

Choose the correct option:The equation of the line which passes through (0, 0) and (1, 1) is ______________.A. y = xB. y = − xC. y = 1D. x = 1

The length of a rectangle with perimeter 1414 cm is 438 cm. What is the breadth of the rectangle?

If A and B are the centres of the purple semicircles, what portion of the whole image is shaded red?

Write an equation connecting the average speed and the time of travel of a vehicle travelling 200 kilometres. Is the time inversely proportional to the average speed?

Question 91The rational numbers can be represented on the number line.

The mass of Mr x is 50kg and the uncertainty in measurement is 1 kg.The mass of Mr y is 55kg and the uncertainty in measurement is 2 kg. Find the difference of their masses with correct uncertainties.

Choose an appropriate singular noun for the blank. If you were older, you could apply for the entrance ______.

Question 65 Sales tax is always calculated on the cost price of an item and is added to the value of the bill.

Which of the following represents a line graph for the given histogram?

√182.25 = ?

45.a/x-a + b/ x-b = 2c/x-c find x by factorization

A and B working together can mow a field in 56 days and with the help of C, they could have mowed it in 42 days. How long would C take by himself?

in the given figure 1+i is center of circle . a square abcd is inscribed in circle and a is represented by 4+5i then vertix of b is

Which of the following instruments could have been used to carve the given design?

In the following figure, the area of segment ACB is(a) π3-32r2(b) π3+32r2(c) π3-23r2(d) None of theseFigure

show that any point on the bisector of an angl is equidis†an t from the arms of the angle

Question 96 Solve the following question: Using prime factorization, find the square roots of a) 11025 b) 4761

What is the units digit of the cube of a number whose unit digit is 7?