25365 + Interview Questions in Mathematics

1.	In the parallelogram ABCD, find x.
Answer» In the parallelogram ABCD, find x.

Discussion

2.	In a mathematics class, 20 children had forgotten their rulers and 17 forgotten their pencils. "Go and borrow them from someone at once”, said the teacher. If 24 children left the room, then the number of children who had forgotten both is ____.
Answer» In a mathematics class, 20 children had forgotten their rulers and 17 forgotten their pencils. "Go and borrow them from someone at once”, said the teacher. If 24 children left the room, then the number of children who had forgotten both is ____.

Discussion

3.	Factorise:4y2−12y+9
Answer» $F a c t o r i s e : 4 y^{2} - 12 y + 9$

Discussion

4.	Factorise : 2a2+7a+6
Answer» Factorise : $2 a^{2} + 7 a + 6$

Discussion

5.	Factorise : a3−a2−ab+a+b−1
Answer» Factorise : $a^{3} - a^{2} - a b + a + b - 1$

Discussion

6.	Factorise 8x3+8y3+2x+2y
Answer» Factorise $8 x^{3} + 8 y^{3} + 2 x + 2 y$

Discussion

7.	A unique solution for a pair of linear equations is obtained if S1 : the graphs of the equations have only one point of intersection. S2 : The ratio of coefficients of the two variables is equal.
Answer» A unique solution for a pair of linear equations is obtained if S1 : the graphs of the equations have only one point of intersection. S2 : The ratio of coefficients of the two variables is equal.

7.

A unique solution for a pair of linear equations is obtained if S1 : the graphs of the equations have only one point of intersection. S2 : The ratio of coefficients of the two variables is equal.

Answer»

A unique solution for a pair of linear equations is obtained if

S1 : the graphs of the equations have only one point of intersection.

S2 : The ratio of coefficients of the two variables is equal.

Discussion

8.	The diognal of a square is 12cm long; find its area and length of one side
Answer» The diognal of a square is 12cm long; find its area and length of one side

Discussion

9.	(2x+3/3)-(5x-3/6)=×-3/2
Answer» (2x+3/3)-(5x-3/6)=×-3/2

Discussion

10.	If M is a square number, what is the next immediate square number?
Answer» If M is a square number, what is the next immediate square number?

Discussion

11.	If the area of a room is 2264 m² and its breadth is 5716 meters, then what is its length?
Answer» If the area of a room is $\frac{226}{4}$ m² and its breadth is $\frac{57}{16}$ meters, then what is its length?

Discussion

12.	A's income is 25% more than B. By how much percent is B's income less than A?
Answer» A's income is 25% more than B. By how much percent is B's income less than A?

Discussion

13.	What is the divisibility test for 4,6,7,8?
Answer» What is the divisibility test for 4,6,7,8?

Discussion

14.	Solve: 37 + x = 177
Answer» Solve: $\frac{3}{7}$ + x = $\frac{17}{7}$

Discussion

15.	Find the compound interest on ₹ 10000 in 3 years, if the rate of interest for the successive years are 10%, 15%, and 20% respectively.
Answer» Find the compound interest on ₹ 10000 in 3 years, if the rate of interest for the successive years are 10%, 15%, and 20% respectively.

Discussion

16.	If you subtract 1\2 from a number and multiply the result by 1\2,you get 1\8.What is the number?
Answer» If you subtract 1\2 from a number and multiply the result by 1\2,you get 1\8.What is the number?

Discussion

17.	Twenty years ago, my age was 1/3 of what it is now. What is my age
Answer» Twenty years ago, my age was 1/3 of what it is now. What is my age

Discussion

18.	A tender is released by a company for making 300 carrom boards. For this, a carpenter submitted a sample but the company rejected his sample because the angle between the adjacent sides were in the ratio 1:2:3:4. Ques. What should be real angle between adjacent sides
Answer» A tender is released by a company for making 300 carrom boards. For this, a carpenter submitted a sample but the company rejected his sample because the angle between the adjacent sides were in the ratio 1:2:3:4. Ques. What should be real angle between adjacent sides

Discussion

19.	O is the point of intersection of the diagonals AC and BD of a trapezium ABCD with ABIIDC. Through o, a line segment PQ is drawn parallel to AB meeting AD is P and BC in Q, prove that PO = QO.
Answer» O is the point of intersection of the diagonals AC and BD of a trapezium ABCD with ABIIDC. Through o, a line segment PQ is drawn parallel to AB meeting AD is P and BC in Q, prove that PO = QO.

Discussion

20.	Construct a quadrilateral ABCD, when AB=3 cm,CD=3 cm,DA=7.5 cm,AC=8 cm,BD=4 cm.
Answer» Construct a quadrilateral $A B C D,$ when $A B = 3 c m, C D = 3 c m, D A = 7.5 c m, A C = 8 c m, B D = 4 c m .$

Discussion

21.	Five equal cubes, each of edge 5 cm, are placed adjacent to each other. The volume of the cuboid so formed, is (a) 125cm3 (b) 375cm3 (c) 525cm3 (d) 625cm3
Answer» Five equal cubes, each of edge 5 cm, are placed adjacent to each other. The volume of the cuboid so formed, is (a) $125 c m^{3}$ (b) $375 c m^{3}$ (c) $525 c m^{3}$ (d) $625 c m^{3}$

21.

Five equal cubes, each of edge 5 cm, are placed adjacent to each other. The volume of the cuboid so formed, is (a) 125cm3 (b) 375cm3 (c) 525cm3 (d) 625cm3

Answer»

Five equal cubes, each of edge 5 cm, are placed adjacent to each other. The volume of the cuboid so formed, is

(a) $125 c m^{3}$

(b) $375 c m^{3}$

(c) $525 c m^{3}$

(d) $625 c m^{3}$

Discussion

22.	A can do a piece of work in 20 days which B alone can do in 12 days. Both started working together, B worked at it for 9 days. A can finish the remaining work in (a) 3 days (b) 5 days (c) 7 days (d) 11 days
Answer» $A$ can do a piece of work in $20$ days which $B$ alone can do in $12$ days. Both started working together, $B$ worked at it for $9$ days. $A$ can finish the remaining work in (a) $3$ days (b) $5$ days (c) $7$ days (d) $11$ days

22.

A can do a piece of work in 20 days which B alone can do in 12 days. Both started working together, B worked at it for 9 days. A can finish the remaining work in (a) 3 days (b) 5 days (c) 7 days (d) 11 days

Answer»

$A$ can do a piece of work in $20$ days which $B$ alone can do in $12$ days. Both started working together, $B$ worked at it for $9$ days. $A$ can finish the remaining work in

(a) $3$ days

(b) $5$ days

(c) $7$ days

(d) $11$ days

Discussion

23.	A shopkeeper allows 20% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs. 500?
Answer» A shopkeeper allows $20 %$ off on the marked price of goods and still gets a profit of $25 %$ . What is the actual cost to him of an article marked Rs. 500?

Discussion

24.	Sheela deposited Rs 20000 in a bank, where the interest is credited half-yearly. If the rate of interest paid by the bank is 6% per annum, what amount will she get after 1 year ?
Answer» Sheela deposited Rs 20000 in a bank, where the interest is credited half-yearly. If the rate of interest paid by the bank is $6 %$ per annum, what amount will she get after 1 year ?

Discussion

25.	Question 84(iii) The two graph below compares car A and car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed. Use the graph to determine whether the given statement is true or false and explain your answer. The larger car is older.
Answer» Question 84(iii) The two graph below compares car A and car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed. Use the graph to determine whether the given statement is true or false and explain your answer. The larger car is older.

Discussion

26.	A can do a piece of work In 14 days while 13 can do it In 21 days. They began together and worked at It for 6 days. Then. A fell ill and B had to complete the remaining work alone. In how many days was the work completed?
Answer» A can do a piece of work In 14 days while 13 can do it In 21 days. They began together and worked at It for 6 days. Then. A fell ill and B had to complete the remaining work alone. In how many days was the work completed?

Discussion

27.	Question 2(x) Factorise the following expressions ax2y+bxy2+cxyz
Answer» Question 2(x) Factorise the following expressions $a x^{2} y + b x y^{2} + c x y z$

Discussion

28.	a manufacture estimates that his machine depreciates by 15% of its value at the begning of the year. Find the orignal value (cost) of the machine, it depeiciates by Rs 5,355 during the second year.
Answer» a manufacture estimates that his machine depreciates by 15% of its value at the begning of the year. Find the orignal value (cost) of the machine, it depeiciates by Rs 5,355 during the second year.

Discussion

29.	A __________ is a pictorial representation of data with rectangular bars of uniform width.
Answer» A __________ is a pictorial representation of data with rectangular bars of uniform width.

Discussion

30.	If 4side and diagonal are equal in quadrilateral then quadrilateral is square or rhombus????? Reason .
Answer» If 4side and diagonal are equal in quadrilateral then quadrilateral is square or rhombus????? Reason .

Discussion

31.	Question 2(iv) Factorise 16x5−144x3
Answer» Question 2(iv) Factorise $16 x^{5} - 144 x^{3}$

Discussion

32.	One of the two digit number is three times the other digit. If u interchange the digits of this 2 digit number, and add the resulting number to the original number, u get 88. What is the original number
Answer» One of the two digit number is three times the other digit. If u interchange the digits of this 2 digit number, and add the resulting number to the original number, u get 88. What is the original number

Discussion

33.	If (x−3) and (x−2) are two factors of the polynomial x3−6x2+11x−6, find the third factor.
Answer» If $(x - 3)$ and $(x - 2)$ are two factors of the polynomial $x^{3} - 6 x^{2} + 11 x - 6$ , find the third factor.

Discussion

34.	The volume of a closed cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre, find the cost incurred to paint its complete surface area from outside.
Answer» The volume of a closed cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre, find the cost incurred to paint its complete surface area from outside.

Discussion

35.	One side of a cube is 15 m in length find its volume
Answer» One side of a cube is 15 m in length find its volume

Discussion

36.	A triangle in which each angle is lesser than 90 degrees is called:
Answer» A triangle in which each angle is lesser than 90 degrees is called:

Discussion

37.	A certain sum amounts to Rs 4840 in 2 years and to Rs 5324 in 3 years at compound interest. Find the rate and the sum.
Answer» A certain sum amounts to Rs 4840 in 2 years and to Rs 5324 in 3 years at compound interest. Find the rate and the sum.

Discussion

38.	what is the name of this fraction 7/7 ?
Answer» what is the name of this fraction 7/7 ?

Discussion

39.	Write the following numbers in expanded form a)7×107 , b) 9×10-4
Answer» Write the following numbers in expanded form a)7×10⁷, b) 9×10^-4

39.

Write the following numbers in expanded form a)7×107 , b) 9×10-4

Answer»

Write the following numbers in expanded form

a)7×10⁷, b) 9×10^-4

Discussion

40.	Question 38 Fill in the blanks to make the statement true 27500000=2.75×__
Answer» Question 38 Fill in the blanks to make the statement true $27500000 = 2.75 \times__$

40.

Question 38 Fill in the blanks to make the statement true 27500000=2.75×__

Answer»

Question 38

Fill in the blanks to make the statement true
$27500000 = 2.75 \times__$

Discussion

41.	Question 89 (xvi) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 x24+2x+4
Answer» Question 89 (xvi) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $\frac{x^{2}}{4} + 2 x + 4$

Discussion

42.	Factorise: a(a+b)3−3a2b(a+b)
Answer» Factorise: $a (a + b)^{3} - 3 a^{2} b (a + b)$

42.

Factorise: a(a+b)3−3a2b(a+b)

Answer»

Factorise:

$a (a + b)^{3} - 3 a^{2} b (a + b)$

Discussion

43.	Write the quotient and remainder when we divide. (6x2−31x+47)by(2x−5)
Answer» Write the quotient and remainder when we divide. $(6 x^{2} - 31 x + 47) b y (2 x - 5)$

43.

Write the quotient and remainder when we divide. (6x2−31x+47)by(2x−5)

Answer»

Write the quotient and remainder when we divide.

$(6 x^{2} - 31 x + 47) b y (2 x - 5)$

Discussion

44.	Is it possible to have a regular polygon whose each interior angle is : (i) 170o (ii) 138o
Answer» Is it possible to have a regular polygon whose each interior angle is : (i) $170^{o}$ (ii) $138^{o}$

44.

Is it possible to have a regular polygon whose each interior angle is : (i) 170o (ii) 138o

Answer»

Is it possible to have a regular polygon whose each interior angle is :

(i) $170^{o}$

(ii) $138^{o}$

Discussion

45.	Ramesh deposited Rs. 7500 in a bank which pays him 12% interest per annum compounded quarterly. What is the amount which he receives after 9 months?
Answer» Ramesh deposited Rs. 7500 in a bank which pays him $12 %$ interest per annum compounded quarterly. What is the amount which he receives after 9 months?

Discussion

46.	The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.
Answer» The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.

Discussion

47.	Question 86 (xx) Using suitable identities, evaluate the following: (339)2−(161)2
Answer» Question 86 (xx) Using suitable identities, evaluate the following: $(339)^{2} - (161)^{2}$

47.

Question 86 (xx) Using suitable identities, evaluate the following: (339)2−(161)2

Answer»

Question 86 (xx)

Using suitable identities, evaluate the following:

$(339)^{2} - (161)^{2}$

Discussion

48.	Find the value of each of the following using the short-cut method: 1.(25)3 2. (47)3 3. (68)3 4. (84)3
Answer» Find the value of each of the following using the short-cut method: 1. $(25)^{3}$ 2. $(47)^{3}$ 3. $(68)^{3}$ 4. $(84)^{3}$

Discussion

49.	Solve: 5x−46=4+3x2
Answer» Solve: $\frac{5 x - 4}{6} = 4 + \frac{3 x}{2}$

Discussion

50.	Two rectangular pieces of cardboard have their lengths in the ratio 1:3, and their breadths in the ratio 2:7. The ratio of their areas would be.
Answer» Two rectangular pieces of cardboard have their lengths in the ratio 1:3, and their breadths in the ratio 2:7. The ratio of their areas would be.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In the parallelogram ABCD, find x.​

In a mathematics class, 20 children had forgotten their rulers and 17 forgotten their pencils. "Go and borrow them from someone at once”, said the teacher. If 24 children left the room, then the number of children who had forgotten both is ____.

Factorise:4y2−12y+9

Factorise : 2a2+7a+6

Factorise : a3−a2−ab+a+b−1

Factorise 8x3+8y3+2x+2y

A unique solution for a pair of linear equations is obtained if S1 : the graphs of the equations have only one point of intersection. S2 : The ratio of coefficients of the two variables is equal.

The diognal of a square is 12cm long; find its area and length of one side

(2x+3/3)-(5x-3/6)=×-3/2

If M is a square number, what is the next immediate square number?

If the area of a room is 2264 m² and its breadth is 5716 meters, then what is its length?

A's income is 25% more than B. By how much percent is B's income less than A?

What is the divisibility test for 4,6,7,8?

Solve: 37 + x = 177

Find the compound interest on ₹ 10000 in 3 years, if the rate of interest for the successive years are 10%, 15%, and 20% respectively.

If you subtract 1\2 from a number and multiply the result by 1\2,you get 1\8.What is the number?

Twenty years ago, my age was 1/3 of what it is now. What is my age

A tender is released by a company for making 300 carrom boards. For this, a carpenter submitted a sample but the company rejected his sample because the angle between the adjacent sides were in the ratio 1:2:3:4. Ques. What should be real angle between adjacent sides

O is the point of intersection of the diagonals AC and BD of a trapezium ABCD with ABIIDC. Through o, a line segment PQ is drawn parallel to AB meeting AD is P and BC in Q, prove that PO = QO.

Construct a quadrilateral ABCD, when AB=3 cm,CD=3 cm,DA=7.5 cm,AC=8 cm,BD=4 cm.

Five equal cubes, each of edge 5 cm, are placed adjacent to each other. The volume of the cuboid so formed, is (a) 125cm3 (b) 375cm3 (c) 525cm3 (d) 625cm3

A can do a piece of work in 20 days which B alone can do in 12 days. Both started working together, B worked at it for 9 days. A can finish the remaining work in (a) 3 days (b) 5 days (c) 7 days (d) 11 days

A shopkeeper allows 20% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs. 500?

Sheela deposited Rs 20000 in a bank, where the interest is credited half-yearly. If the rate of interest paid by the bank is 6% per annum, what amount will she get after 1 year ?

A can do a piece of work In 14 days while 13 can do it In 21 days. They began together and worked at It for 6 days. Then. A fell ill and B had to complete the remaining work alone. In how many days was the work completed?

Question 2(x) Factorise the following expressions ax2y+bxy2+cxyz

a manufacture estimates that his machine depreciates by 15% of its value at the begning of the year. Find the orignal value (cost) of the machine, it depeiciates by Rs 5,355 during the second year.

A __________ is a pictorial representation of data with rectangular bars of uniform width.

If 4side and diagonal are equal in quadrilateral then quadrilateral is square or rhombus????? Reason .

Question 2(iv) Factorise 16x5−144x3

One of the two digit number is three times the other digit. If u interchange the digits of this 2 digit number, and add the resulting number to the original number, u get 88. What is the original number

If (x−3) and (x−2) are two factors of the polynomial x3−6x2+11x−6, find the third factor.

The volume of a closed cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre, find the cost incurred to paint its complete surface area from outside.

One side of a cube is 15 m in length find its volume

A triangle in which each angle is lesser than 90 degrees is called:

A certain sum amounts to Rs 4840 in 2 years and to Rs 5324 in 3 years at compound interest. Find the rate and the sum.

what is the name of this fraction 7/7 ?

Write the following numbers in expanded form a)7×107 , b) 9×10-4

Question 38 Fill in the blanks to make the statement true 27500000=2.75×__

Question 89 (xvi) Factorise the following, using the identity, a2+2ab+b2=(a+b)2 x24+2x+4

Factorise: a(a+b)3−3a2b(a+b)

Write the quotient and remainder when we divide. (6x2−31x+47)by(2x−5)

Is it possible to have a regular polygon whose each interior angle is : (i) 170o (ii) 138o

Ramesh deposited Rs. 7500 in a bank which pays him 12% interest per annum compounded quarterly. What is the amount which he receives after 9 months?

Question 86 (xx) Using suitable identities, evaluate the following: (339)2−(161)2

Find the value of each of the following using the short-cut method: 1.(25)3 2. (47)3 3. (68)3 4. (84)3

Solve: 5x−46=4+3x2

Two rectangular pieces of cardboard have their lengths in the ratio 1:3, and their breadths in the ratio 2:7. The ratio of their areas would be.

In the parallelogram ABCD, find x.