25365 + Interview Questions in Mathematics

1.	The volume of a wall, 5 times as high as it is wide and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.
Answer» The volume of a wall, 5 times as high as it is wide and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.

Discussion

2.	A number has 4 zeroes at the end. How many zeroes will its square have?
Answer» A number has 4 zeroes at the end. How many zeroes will its square have?

Discussion

3.	How many bricks of size 22 cm×10 cm×7 cm are required to construct a wall 11 m long, 3.5 m high and 40 cm thick, if the cement and sand used in the construction occupy (110)th part of the wall?
Answer» How many bricks of size $22 c m \times 10 c m \times 7 c m$ are required to construct a wall 11 m long, 3.5 m high and 40 cm thick, if the cement and sand used in the construction occupy $(\frac{1}{10}) t h$ part of the wall?

Discussion

4.	Area of a pizza is one-fourth of that of a cake. What is the ratio of their radii?
Answer» Area of a pizza is one-fourth of that of a cake. What is the ratio of their radii?

Discussion

5.	The dimensions of a car pertol tank is 50cm x 32cm x 24 cm. If is full of petrol and the cars petrol consumption is 15km per litre. Find the maximum distance that can be covered by the car.
Answer» The dimensions of a car pertol tank is 50cm x 32cm x 24 cm. If is full of petrol and the cars petrol consumption is 15km per litre. Find the maximum distance that can be covered by the car.

Discussion

6.	(−43)×(−99)+43= ______
Answer» $(- 43) \times (- 99) + 43 =$ ______

Discussion

7.	Which among the following has the most number of diagonals?
Answer» Which among the following has the most number of diagonals?

Discussion

8.	Which of the following numbers is a perfect square as well as a perfect cube?
Answer» Which of the following numbers is a perfect square as well as a perfect cube?

Discussion

9.	There are 200 packets in a large box and each packet contains 3 electric devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below No of faulty devices in a packetLess than2424−3636−48morethan48TotalBatteriesNumber of batteries502405501601000 (i) If a buyer will only tolerate atthe maximum one faulty piece in a packet, what is the probability that a packet will be rejected? (ii) Another buyer will only take packets with all the pieces functional. What is the probability that a packet will be rejected? [4 MARKS]
Answer» There are 200 packets in a large box and each packet contains 3 electric devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below $\begin{matrix} N o o f f a u l t y d e v i c e s i n a p a c k e t & L e s s t h a n 24 & 24 - 36 & 36 - 48 & m o r e t h a n 48 & T o t a l B a t t e r i e s N u m b e r o f b a t t e r i e s & 50 & 240 & 550 & 160 & 1000 \end{matrix}$ (i) If a buyer will only tolerate atthe maximum one faulty piece in a packet, what is the probability that a packet will be rejected? (ii) Another buyer will only take packets with all the pieces functional. What is the probability that a packet will be rejected? [4 MARKS]

9.

There are 200 packets in a large box and each packet contains 3 electric devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below No of faulty devices in a packetLess than2424−3636−48morethan48TotalBatteriesNumber of batteries502405501601000 (i) If a buyer will only tolerate atthe maximum one faulty piece in a packet, what is the probability that a packet will be rejected? (ii) Another buyer will only take packets with all the pieces functional. What is the probability that a packet will be rejected? [4 MARKS]

Answer»

There are 200 packets in a large box and each packet contains 3 electric devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below

$\begin{matrix} N o o f f a u l t y d e v i c e s i n a p a c k e t & L e s s t h a n 24 & 24 - 36 & 36 - 48 & m o r e t h a n 48 & T o t a l B a t t e r i e s N u m b e r o f b a t t e r i e s & 50 & 240 & 550 & 160 & 1000 \end{matrix}$

(i) If a buyer will only tolerate atthe maximum one faulty piece in a packet, what is the probability that a packet will be rejected?
(ii) Another buyer will only take packets with all the pieces functional. What is the probability that a packet will be rejected? [4 MARKS]

Discussion

10.	The sum of all the interior angles of a regular octagon is:
Answer» The sum of all the interior angles of a regular octagon is:

Discussion

11.	Solve 94x÷32x=2187 and find the value of x.
Answer» Solve $9^{4 x} \div 3^{2 x} = 2187$ and find the value of x.

Discussion

12.	If 40 metres of a cloth costs Rs. 2000, then how many metres of cloth can be bought for Rs. 100
Answer» If 40 metres of a cloth costs Rs. 2000, then how many metres of cloth can be bought for Rs. 100

Discussion

13.	In the figure given below, PTU is a straight line. What is the value of x?
Answer» In the figure given below, PTU is a straight line. What is the value of x?

Discussion

14.	(ax+by)2=(ax)2+16xy+4(y)2, then (a+b)2is equal to
Answer» $(a x + b y)^{2} = (a x)^{2} + 16 x y + 4 (y)^{2}$ , then $(a + b)^{2}$ is equal to

Discussion

15.	The diagonals of a parallelogram ABCD intersect at O. A line through O intersects AB at X and DC at Y. Prove that OX = OY. [4 MARKS]
Answer» The diagonals of a parallelogram ABCD intersect at O. A line through O intersects AB at X and DC at Y. Prove that OX = OY. [4 MARKS]

Discussion

16.	In the given diagram, the value of x is ___ degrees.
Answer» In the given diagram, the value of x is ___ degrees.

Discussion

17.	The area of a square field is 3014 m2. Calculate the length of the side of the square.
Answer» The area of a square field is $30 \frac{1}{4} m^{2} .$ Calculate the length of the side of the square.

Discussion

18.	What are the steps for Long Division Method to find Square Root of a number.
Answer» What are the steps for Long Division Method to find Square Root of a number.

Discussion

19.	Tanvy bought a watch for Rs.1980 including VAT at10%Find the original price of the watch.
Answer» $Tanvy bought a watch for Rs.1980 including VAT at 10 % Find the original price of the watch.$

Discussion

20.	The quadrilateral formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a rhombus, if
Answer» The quadrilateral formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a rhombus, if

Discussion

21.	Letf(x)=[x]cos(π[x+2])where denotes the greatest integer function. Then, the domain of f is
Answer» $Let f (x) = [x] c o s (\frac{π}{[x + 2]}) where denotes the greatest integer function. Then, the domain of f is$

Discussion

22.	Which of the following is incorrect
Answer» Which of the following is incorrect

Discussion

23.	Can a polyhderon have : (i) 3 triangles only ? (ii) 4 triangles only ? (iii) a square and four triangles ?
Answer» Can a polyhderon have : (i) 3 triangles only ? (ii) 4 triangles only ? (iii) a square and four triangles ?

23.

Can a polyhderon have : (i) 3 triangles only ? (ii) 4 triangles only ? (iii) a square and four triangles ?

Answer»

Can a polyhderon have :
(i) 3 triangles only ?
(ii) 4 triangles only ?
(iii) a square and four triangles ?

Discussion

24.	The value of following fraction is: 1+11+11+12
Answer» The value of following fraction is: $1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{2}}}$

Discussion

25.	Question 53(iv) The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow. In which subject did she score the same marks in both the Tests?
Answer» Question 53(iv) The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow. In which subject did she score the same marks in both the Tests?

Discussion

26.	How will you deal with the following case while preparing final accounts of a non-profit organisation: 1.1.201231.12.2012(Rs)(Rs)Stock of Stationery600100Creditor for Stationery400260Advance paid for stationery4060Amount paid for stationery during 2012 was Rs 2,160.
Answer» How will you deal with the following case while preparing final accounts of a non-profit organisation: $\begin{matrix} 1.1.2012 & 31.12.2012 (R s) & (R s) Stock of Stationery & 600 & 100 Creditor for Stationery & 400 & 260 Advance paid for stationery & 40 & 60 Amount paid for stationery during 2012 was Rs 2,160. \end{matrix}$

26.

How will you deal with the following case while preparing final accounts of a non-profit organisation: 1.1.201231.12.2012(Rs)(Rs)Stock of Stationery600100Creditor for Stationery400260Advance paid for stationery4060Amount paid for stationery during 2012 was Rs 2,160.

Answer»

How will you deal with the following case while preparing final accounts of a non-profit organisation:

$\begin{matrix} 1.1.2012 & 31.12.2012 (R s) & (R s) Stock of Stationery & 600 & 100 Creditor for Stationery & 400 & 260 Advance paid for stationery & 40 & 60 Amount paid for stationery during 2012 was Rs 2,160. \end{matrix}$

Discussion

27.	What is Pythagorean triplet?
Answer» What is Pythagorean triplet?

Discussion

28.	Solve : x−2x+2−16x3+5=3−72x
Answer» Solve : $x - 2 x + 2 - \frac{16 x}{3} + 5 = 3 - \frac{7}{2 x}$

Discussion

29.	Question 110 Solve the following question: Find the length of the side of a square, if the length of its diagonal is 10 cm.
Answer» Question 110 Solve the following question: Find the length of the side of a square, if the length of its diagonal is 10 cm.

29.

Question 110 Solve the following question: Find the length of the side of a square, if the length of its diagonal is 10 cm.

Answer»

Question 110

Solve the following question:

Find the length of the side of a square, if the length of its diagonal is 10 cm.

Discussion

30.	Factorise : (x+5)2−4(x+5)
Answer» Factorise : $(x + 5)^{2} - 4 (x + 5)$

Discussion

31.	Evaluate: √11449
Answer» Evaluate: $\sqrt{11449}$

Discussion

32.	Question 03. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table: No.of spokes4681012Angle between a pair of consecutive spokes90∘60∘……… (i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion? (ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes. (iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is 40∘ ?
Answer» Question 03. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table: $\begin{matrix} N o . o f s p o k e s & 4 & 6 & 8 & 10 & 12 A n g l e b e t w e e n a p a i r o f c o n s e c u t i v e s p o k e s & 90^{\circ} & 60^{\circ} & \dots & \dots & \dots \end{matrix}$ (i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion? (ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes. (iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is $40^{\circ}$ ?

Discussion

33.	Fill in the Blanks Question 23 A point has 5 as X-coordinate and 4 as its Y-coordinate. Then, the coordinates of the point are given by ___.
Answer» Fill in the Blanks Question 23 A point has 5 as X-coordinate and 4 as its Y-coordinate. Then, the coordinates of the point are given by ___.

Discussion

34.	Which of the following should be the THIRD sentence after rearrangement?
Answer» Which of the following should be the THIRD sentence after rearrangement?

Discussion

35.	Is 3087 a perfect cube.
Answer» Is 3087 a perfect cube.

Discussion

36.	(xa+b)2 (xb+c)2 (xc+a)2 ÷ (xa.xb.xc)4 = x. Solve for x.
Answer» (x^a+b)² (x^b+c)² (x^c+a)² ÷ (x^a.x^b.x^c)⁴= x. Solve for x.

Discussion

37.	Where can we use squares and square roots in our daily life?
Answer» Where can we use squares and square roots in our daily life?

Discussion

38.	If the mid value s if the class intervals are 12, 18,24,30,36 .Then find the class interval with 18 as mid value.
Answer» If the mid value s if the class intervals are 12, 18,24,30,36 .Then find the class interval with 18 as mid value.

Discussion

39.	A number multiplied by 17 gives 323. What is the number?
Answer» A number multiplied by 17 gives 323. What is the number?

Discussion

40.	___ cordinate of a point changes during reflection in y - axis.
Answer» ___ cordinate of a point changes during reflection in y - axis.

Discussion

41.	As BLOCKED is to YOLOXPVW, so also OZFMXS is to:
Answer» As BLOCKED is to YOLOXPVW, so also OZFMXS is to:

Discussion

42.	Statements: All desks are benches. No bench is a chair. All chairs are roads. Conclusions: I. Some roads are chairs. II. No chair is a desk.
Answer» Statements: All desks are benches. No bench is a chair. All chairs are roads. Conclusions: I. Some roads are chairs. II. No chair is a desk.

42.

Statements: All desks are benches. No bench is a chair. All chairs are roads. Conclusions: I. Some roads are chairs. II. No chair is a desk.

Answer»

Statements: All desks are benches.

No bench is a chair.

All chairs are roads.

Conclusions: I. Some roads are chairs.

II. No chair is a desk.

Discussion

43.	Question 2 The diameter of cylinder A is 7 cm and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area.
Answer» Question 2 The diameter of cylinder A is 7 cm and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area.

Discussion

44.	The cube root of the result obtained when you subtract x3 from 4097x3 is
Answer» The cube root of the result obtained when you subtract x3from 4097x3 is

Discussion

45.	In an inverse proportion x an y vary such that xy is always a constant. Explain it briefly.
Answer» In an inverse proportion x an y vary such that xy is always a constant. Explain it briefly.

Discussion

46.	In which year is the population the least?
Answer» In which year is the population the least?

46.

In which year is the population the least?

Answer»

In which year is the population the least?

Discussion

47.	The C.P. of 16 articles is equal to the S.P. of 12 articles. Find the gain or loss percent.
Answer» The C.P. of 16 articles is equal to the S.P. of 12 articles. Find the gain or loss percent.

Discussion

48.	The compound interest for the first year is ₹ 4500 and for the second year is ₹ 5500, then the total interest earned at the end of the two years is ₹ ________
Answer» The compound interest for the first year is ₹ 4500 and for the second year is ₹ 5500, then the total interest earned at the end of the two years is ₹ ________

Discussion

49.	The perimeter of a rhombus is 40 cm. If one diagnonal is 16 cm. find : (i) its another diagonal (ii) area
Answer» The perimeter of a rhombus is 40 cm. If one diagnonal is 16 cm. find : (i) its another diagonal (ii) area

49.

The perimeter of a rhombus is 40 cm. If one diagnonal is 16 cm. find : (i) its another diagonal (ii) area

Answer»

The perimeter of a rhombus is 40 cm. If one diagnonal is 16 cm. find :

(i) its another diagonal (ii) area

Discussion

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

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The volume of a wall, 5 times as high as it is wide and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.

A number has 4 zeroes at the end. How many zeroes will its square have?

How many bricks of size 22 cm×10 cm×7 cm are required to construct a wall 11 m long, 3.5 m high and 40 cm thick, if the cement and sand used in the construction occupy (110)th part of the wall?

Area of a pizza is one-fourth of that of a cake. What is the ratio of their radii?

The dimensions of a car pertol tank is 50cm x 32cm x 24 cm. If is full of petrol and the cars petrol consumption is 15km per litre. Find the maximum distance that can be covered by the car.

(−43)×(−99)+43= ______

Which among the following has the most number of diagonals?

Which of the following numbers is a perfect square as well as a perfect cube?

The sum of all the interior angles of a regular octagon is:

Solve 94x÷32x=2187 and find the value of x.

If 40 metres of a cloth costs Rs. 2000, then how many metres of cloth can be bought for Rs. 100

In the figure given below, PTU is a straight line. What is the value of x?

(ax+by)2=(ax)2+16xy+4(y)2, then (a+b)2is equal to

The diagonals of a parallelogram ABCD intersect at O. A line through O intersects AB at X and DC at Y. Prove that OX = OY. [4 MARKS]

In the given diagram, the value of x is ___ degrees.

The area of a square field is 3014 m2. Calculate the length of the side of the square.

What are the steps for Long Division Method to find Square Root of a number.

Tanvy bought a watch for Rs.1980 including VAT at10%Find the original price of the watch.

The quadrilateral formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a rhombus, if

Letf(x)=[x]cos(π[x+2])where denotes the greatest integer function. Then, the domain of f is

Which of the following is incorrect

Can a polyhderon have : (i) 3 triangles only ? (ii) 4 triangles only ? (iii) a square and four triangles ?

The value of following fraction is: 1+11+11+12

Question 53(iv) The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow. In which subject did she score the same marks in both the Tests?

How will you deal with the following case while preparing final accounts of a non-profit organisation: 1.1.201231.12.2012(Rs)(Rs)Stock of Stationery600100Creditor for Stationery400260Advance paid for stationery4060Amount paid for stationery during 2012 was Rs 2,160.

What is Pythagorean triplet?

Solve : x−2x+2−16x3+5=3−72x

Question 110 Solve the following question: Find the length of the side of a square, if the length of its diagonal is 10 cm.

Factorise : (x+5)2−4(x+5)

Evaluate: √11449

Fill in the Blanks Question 23 A point has 5 as X-coordinate and 4 as its Y-coordinate. Then, the coordinates of the point are given by ___.

Which of the following should be the THIRD sentence after rearrangement?

Is 3087 a perfect cube.

(xa+b)2 (xb+c)2 (xc+a)2 ÷ (xa.xb.xc)4 = x. Solve for x.

Where can we use squares and square roots in our daily life?

If the mid value s if the class intervals are 12, 18,24,30,36 .Then find the class interval with 18 as mid value.

A number multiplied by 17 gives 323. What is the number?

___ cordinate of a point changes during reflection in y - axis.

As BLOCKED is to YOLOXPVW, so also OZFMXS is to:

Statements: All desks are benches. No bench is a chair. All chairs are roads. Conclusions: I. Some roads are chairs. II. No chair is a desk.

The cube root of the result obtained when you subtract x3 from 4097x3 is

In an inverse proportion x an y vary such that xy is always a constant. Explain it briefly.

In which year is the population the least?

The C.P. of 16 articles is equal to the S.P. of 12 articles. Find the gain or loss percent.

The compound interest for the first year is ₹ 4500 and for the second year is ₹ 5500, then the total interest earned at the end of the two years is ₹ ________

The perimeter of a rhombus is 40 cm. If one diagnonal is 16 cm. find : (i) its another diagonal (ii) area

Factorise : a3−a2+a−1