25365 + Interview Questions in Mathematics Page 32 InterviewSolution

1551.	If √1369+√0.0615+x=37.25, find the value of x?
Answer» If $\sqrt{1369} + \sqrt{0.0615 + x} = 37.25$ , find the value of $x$ ?

Discussion

1552.	{ Diagonals }AC and }BD of quadrilateral }ABCD intersects each other at }P . Show that }}{ ar (APB) }× ar }(CPD)= ar }(APD)× ar }(BPC) .
Answer» { Diagonals }AC and }BD of quadrilateral }ABCD intersects each other at }P . Show that }}{ ar (APB) }× ar }(CPD)= ar }(APD)× ar }(BPC) .

Discussion

1553.	Question 7The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m2 is Rs 4.
Answer» Question 7 The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per $m^{2}$ is Rs 4.

Discussion

1554.	Question 84 (i)Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose, various shades are tried by mixing containers of blue paint and white paint. In each of the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.
Answer» Question 84 (i) Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose, various shades are tried by mixing containers of blue paint and white paint. In each of the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

1554.

Question 84 (i)Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose, various shades are tried by mixing containers of blue paint and white paint. In each of the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

Answer»

Question 84 (i)

Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose, various shades are tried by mixing containers of blue paint and white paint. In each of the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

Discussion

1555.	In the given figure, AC = AE, AB = AD and ∠BAD=∠EAC. Show that BC = DE.
Answer» In the given figure, AC = AE, AB = AD and $∠ B A D = ∠ E A C$ . Show that BC = DE.

Discussion

1556.	Write the total number of terms in the expansion of x+a100+x-a100.
Answer» Write the total number of terms in the expansion of ${(x + a)}^{100} + {(x - a)}^{100}$ .

Discussion

1557.	If a, b, c are positive real numbers, then a-1b×b-1c×c-1a is equal to(a) 1(b) abc(c) abc(d) 1abc
Answer» If a, b, c are positive real numbers, then $\sqrt{a^{- 1} b} \times \sqrt{b^{- 1} c} \times \sqrt{c^{- 1} a}$ is equal to (a) 1 (b) abc (c) $\sqrt{a b c}$ (d) $\frac{1}{a b c}$

Discussion

1558.	Two dice are thrown at the same time. Then the probability of getting the total of at least 8
Answer» Two dice are thrown at the same time. Then the probability of getting the total of at least 8

Discussion

1559.	Which of the following figure(s) is/are formed by joining the points (1, 1), (3, 0), (4, 2) and (2, 3).
Answer» Which of the following figure(s) is/are formed by joining the points (1, 1), (3, 0), (4, 2) and (2, 3).

Discussion

1560.	Question 44z + 3 = 6 + 2z
Answer» Question 4 4z + 3 = 6 + 2z

Discussion

1561.	In an army camp there were enough food provisions for 1200 soldiers for 28 days. After 4 days, some men were moved to another camp and now the food provisions lasted 32 days. How many men were moved to another camp?
Answer» In an army camp there were enough food provisions for 1200 soldiers for 28 days. After 4 days, some men were moved to another camp and now the food provisions lasted 32 days. How many men were moved to another camp?

Discussion

1562.	There's a SALE running in which you get 60% discount on your Shirt marked at Rs 2000. At what price do you buy it?
Answer» There's a SALE running in which you get 60% discount on your Shirt marked at Rs 2000. At what price do you buy it?

Discussion

1563.	How many kilos of tea worth Rs. 72 per kg should be mixed with 10 kg of tea worth Rs. 90 per kg to produce a mixture which will cost Rs. 78 per kg?
Answer» How many kilos of tea worth Rs. 72 per kg should be mixed with 10 kg of tea worth Rs. 90 per kg to produce a mixture which will cost Rs. 78 per kg?

Discussion

1564.	The frequency of 8 in the data set 8, 2, 8, 3, 8, 4, 5, 8 is ______.
Answer» The frequency of 8 in the data set 8, 2, 8, 3, 8, 4, 5, 8 is ______.

Discussion

1565.	45. The coordinate of a point p on the line 2x-y+5=0 such that \|pa-pb\| is maximum where a is (4;-2) and b is (2;-4) will be
Answer» 45. The coordinate of a point p on the line 2x-y+5=0 such that \|pa-pb\| is maximum where a is (4;-2) and b is (2;-4) will be

Discussion

1566.	What is a linear graph?
Answer» What is a linear graph?

Discussion

1567.	At 10 degree C the value of the density of a fixed mass of an ideal gas divided by its pressure is x at 110 degree C this ratio is
Answer» At 10 degree C the value of the density of a fixed mass of an ideal gas divided by its pressure is x at 110 degree C this ratio is

Discussion

1568.	Question 2 (v)Find the number of digits in the square root of each of the following numbers (without any calculation):390625
Answer» Question 2 (v) Find the number of digits in the square root of each of the following numbers (without any calculation): 390625

1568.

Question 2 (v)Find the number of digits in the square root of each of the following numbers (without any calculation):390625

Answer»

Question 2 (v)

Find the number of digits in the square root of each of the following numbers (without any calculation):

390625

Discussion

1569.	990 + 9999 is divisible by
Answer» 990 + 9999 is divisible by

Discussion

1570.	Sohan bought a second-hand refrigerator for ₹2,500, then spent ₹500 on its repairs and sold it for ₹3,300. Find his loss or gain percent.
Answer» Sohan bought a second-hand refrigerator for ₹2,500, then spent ₹500 on its repairs and sold it for ₹3,300. Find his loss or gain percent.

Discussion

1571.	John gets ₹ 1750 from Rohit and ₹ 750 from Ankita. What % of the overall amount does he get from Rohit?
Answer» John gets ₹ 1750 from Rohit and ₹ 750 from Ankita. What % of the overall amount does he get from Rohit?

Discussion

1572.	Question 134Solve the following question:Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.
Answer» Question 134 Solve the following question: Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.

1572.

Question 134Solve the following question:Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.

Answer»

Question 134

Solve the following question:

Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.

Discussion

1573.	Factorise : 1−(b−c)2
Answer» Factorise : $1 - (b - c)^{2}$

1573.

Factorise : 1−(b−c)2

Answer»

Factorise :

$1 - (b - c)^{2}$

Discussion

1574.	Question 42When a die is rolled, the six possible outcomes are ___.
Answer» Question 42 When a die is rolled, the six possible outcomes are ___.

1574.

Question 42When a die is rolled, the six possible outcomes are ___.

Answer»

Question 42

When a die is rolled, the six possible outcomes are ___.

Discussion

1575.	If 4% of x is 100 then the value of x is:
Answer» If 4% of x is 100 then the value of x is:

Discussion

1576.	A bar graph is not used for which of the following:
Answer» A bar graph is not used for which of the following:

Discussion

1577.	The total surface area of a cube is 384 cm2. Calculate the side of the cube.
Answer» The total surface area of a cube is 384 cm². Calculate the side of the cube.

Discussion

1578.	Runs scored by 10 batsmen in a one day cricket match are given. Find the average run scored.23, 54, 08, 94, 60, 18, 29, 44, 05, 86
Answer» Runs scored by 10 batsmen in a one day cricket match are given. Find the average run scored. 23, 54, 08, 94, 60, 18, 29, 44, 05, 86

1578.

Runs scored by 10 batsmen in a one day cricket match are given. Find the average run scored.23, 54, 08, 94, 60, 18, 29, 44, 05, 86

Answer»

Runs scored by 10 batsmen in a one day cricket match are given. Find the average run scored.

23, 54, 08, 94, 60, 18, 29, 44, 05, 86

Discussion

1579.	Question 2PQR is a triangle right angled at P and M is a point on QR such that PM⊥QR. Show that PM2=QM×MR.
Answer» Question 2 PQR is a triangle right angled at P and M is a point on QR such that $P M ⊥ Q R$ . Show that $P M^{2} = Q M \times M R$ .

Discussion

1580.	The sum of three rational numbers is −15.If two numbers are −25 and 310, then find the third number.
Answer» $The sum of three rational numbers is \frac{- 1}{5} . If two numbers are \frac{- 2}{5} and \frac{3}{10}, then find the third number.$

Discussion

1581.	Two angles of a triangle are 35∘ and 65∘. What kind of triangle it is on the basis of its angles?
Answer» Two angles of a triangle are $35^{\circ} and 65^{\circ} .$ What kind of triangle it is on the basis of its angles?

Discussion

1582.	Question 1(v)State whether the number given below is a perfect cube or not:46656
Answer» Question 1(v) State whether the number given below is a perfect cube or not: 46656

Discussion

1583.	The parallel sides of an isosceles trapezium are 25 cm and 11 cm, and the perpendicular distance between the parallel sides is 13 cm. Find the area of the trapezium.
Answer» The parallel sides of an isosceles trapezium are 25 cm and 11 cm, and the perpendicular distance between the parallel sides is 13 cm. Find the area of the trapezium.

1583.

The parallel sides of an isosceles trapezium are 25 cm and 11 cm, and the perpendicular distance between the parallel sides is 13 cm. Find the area of the trapezium.

Answer»

The parallel sides of an isosceles trapezium are 25 cm and 11 cm, and the perpendicular distance between the parallel sides is 13 cm. Find the area of the trapezium.

Discussion

1584.	If the volumes of two cubes are in the ratio 64: 125, then what is the ratio of the lengths of their edges?
Answer» If the volumes of two cubes are in the ratio 64: 125, then what is the ratio of the lengths of their edges?

1584.

If the volumes of two cubes are in the ratio 64: 125, then what is the ratio of the lengths of their edges?

Answer»

If the volumes of two cubes are in the ratio 64: 125, then what is the ratio of the lengths of their edges?

Discussion

1585.	(p9q7 +p7q5) ÷ (p2q2 + 1) =
Answer» (p⁹q⁷ +p⁷q⁵) ÷ (p²q² + 1) =

Discussion

1586.	A cuboid shaped bank locker whose length, breadth and height are 50 cm, 50 cm and 2 m respectively has to be secured by a touch sensor system at the rate of ₹ 5 per 100 sq. cm. The total cost of the security arrangement is ___.
Answer» A cuboid shaped bank locker whose length, breadth and height are $50 c m, 50 c m$ and $2 m$ respectively has to be secured by a touch sensor system at the rate of ₹ 5 per 100 sq. cm. The total cost of the security arrangement is ___.

Discussion

1587.	Question 116 Solve the following question: The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.
Answer» Question 116 Solve the following question: The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.

1587.

Question 116 Solve the following question: The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.

Answer»

Question 116

Solve the following question:

The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.

Discussion

1588.	In the following figure, if OQ is angle bisector of ∠POA, then ∠POQ will be equal to ___.
Answer» In the following figure, if OQ is angle bisector of $∠$ POA, then $∠$ POQ will be equal to ___.

1588.

In the following figure, if OQ is angle bisector of ∠POA, then ∠POQ will be equal to ___.

Answer»

In the following figure, if OQ is angle bisector of $∠$ POA, then $∠$ POQ will be equal to ___.

Discussion

1589.	25a2b3÷5a2b= ___________.
Answer» $25 a^{2} b^{3} \div 5 a^{2} b =$ ___________.

Discussion

1590.	The question is about profit and loss,which the app does not have content of.The question which I had problem in understanding the reason behind is:- If the selling price of a TV set is equal to 6/5 of its cost price, find the gain or loss per cent (condition :CP = ₹x and SP = ₹6x/5
Answer» The question is about profit and loss,which the app does not have content of.The question which I had problem in understanding the reason behind is:- If the selling price of a TV set is equal to 6/5 of its cost price, find the gain or loss per cent (condition :CP = ₹x and SP = ₹6x/5

1590.

The question is about profit and loss,which the app does not have content of.The question which I had problem in understanding the reason behind is:- If the selling price of a TV set is equal to 6/5 of its cost price, find the gain or loss per cent (condition :CP = ₹x and SP = ₹6x/5

Answer»

The question is about profit and loss,which the app does not have content of.The question which I had problem in understanding the reason behind is:-

If the selling price of a TV set is equal to 6/5 of its cost price, find the gain or loss per cent

(condition :CP = ₹x and SP = ₹6x/5

Discussion

1591.	The bar graph shows the favourite colours of 20 students in a class. How many more of them favoured blue than pink?
Answer» The bar graph shows the favourite colours of 20 students in a class. How many more of them favoured blue than pink?

1591.

The bar graph shows the favourite colours of 20 students in a class. How many more of them favoured blue than pink?

Answer»

The bar graph shows the favourite colours of 20 students in a class. How many more of them favoured blue than pink?

Discussion

1592.	Diagram of the adjacent picture frame has outer dimensions = 24 cm × 28 cm and inner dimensions 16 cm × 20 cm. Find the area of Section BEFC of the frame, if the width of each section is same.
Answer» Diagram of the adjacent picture frame has outer dimensions = 24 cm $\times$ 28 cm and inner dimensions 16 cm $\times$ 20 cm. Find the area of Section BEFC of the frame, if the width of each section is same.

Discussion

1593.	Question 89 (xiv)Factorise the following, using the identity, a2+2ab+b2=(a+b)2a2x3+2abx2+b2x
Answer» Question 89 (xiv) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $a^{2} x^{3} + 2 a b x^{2} + b^{2} x$

Discussion

1594.	Give a simple activity to find out whether 4 measurements are enough to draw a quadrilateral.
Answer» Give a simple activity to find out whether 4 measurements are enough to draw a quadrilateral.

Discussion

1595.	Question 85 (xiv)Expand the following, using suitable identities.(7x+5)2
Answer» Question 85 (xiv) Expand the following, using suitable identities. $(7 x + 5)^{2}$

1595.

Question 85 (xiv)Expand the following, using suitable identities.(7x+5)2

Answer»

Question 85 (xiv)

Expand the following, using suitable identities.

$(7 x + 5)^{2}$

Discussion

1596.	Planet A is at a distance of 9.35×106km from Earth and Planet B is 6.27×107 km from Earth. Which planet is nearer to Earth?
Answer» Planet A is at a distance of $9.35 \times 10^{6} k m$ from Earth and Planet B is $6.27 \times 10^{7}$ km from Earth. Which planet is nearer to Earth?

Discussion

1597.	Find the value of each of the following expressions:
Answer» Find the value of each of the following expressions:

1597.

Find the value of each of the following expressions:

Answer»

Find the value of each of the following expressions:

Discussion

1598.	Question 65 (i)How many vertices does the following solid have?Cone
Answer» Question 65 (i) How many vertices does the following solid have? Cone

Discussion

1599.	Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, ∠O=120∘,∠R=105∘ and ∠A=135∘? If not, why?
Answer» Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, $∠ O = 120^{\circ}, ∠ R = 105^{\circ}$ and $∠ A = 135^{\circ}$ ? If not, why?

Discussion

1600.	Ram buys 40 pencils for Rs 70 and sells them at the rate of 30 pencils for Rs 80. Find gain or loss percent.
Answer» Ram buys 40 pencils for Rs 70 and sells them at the rate of 30 pencils for Rs 80. Find gain or loss percent.

Discussion

Explore topic-wise InterviewSolutions in .

If √1369+√0.0615+x=37.25, find the value of x?

{ Diagonals }AC and }BD of quadrilateral }ABCD intersects each other at }P . Show that }}{ ar (APB) }× ar }(CPD)= ar }(APD)× ar }(BPC) .

Question 7The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m2 is Rs 4.

In the given figure, AC = AE, AB = AD and ∠BAD=∠EAC. Show that BC = DE.

Write the total number of terms in the expansion of x+a100+x-a100.

If a, b, c are positive real numbers, then a-1b×b-1c×c-1a is equal to(a) 1(b) abc(c) abc(d) 1abc

Two dice are thrown at the same time. Then the probability of getting the total of at least 8

Which of the following figure(s) is/are formed by joining the points (1, 1), (3, 0), (4, 2) and (2, 3).

Question 44z + 3 = 6 + 2z

In an army camp there were enough food provisions for 1200 soldiers for 28 days. After 4 days, some men were moved to another camp and now the food provisions lasted 32 days. How many men were moved to another camp?

There's a SALE running in which you get 60% discount on your Shirt marked at Rs 2000. At what price do you buy it?

How many kilos of tea worth Rs. 72 per kg should be mixed with 10 kg of tea worth Rs. 90 per kg to produce a mixture which will cost Rs. 78 per kg?

The frequency of 8 in the data set 8, 2, 8, 3, 8, 4, 5, 8 is ______.

45. The coordinate of a point p on the line 2x-y+5=0 such that |pa-pb| is maximum where a is (4;-2) and b is (2;-4) will be

What is a linear graph?

At 10 degree C the value of the density of a fixed mass of an ideal gas divided by its pressure is x at 110 degree C this ratio is

Question 2 (v)Find the number of digits in the square root of each of the following numbers (without any calculation):390625

990 + 9999 is divisible by

Sohan bought a second-hand refrigerator for ₹2,500, then spent ₹500 on its repairs and sold it for ₹3,300. Find his loss or gain percent.

John gets ₹ 1750 from Rohit and ₹ 750 from Ankita. What % of the overall amount does he get from Rohit?

Question 134Solve the following question:Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.

Factorise : 1−(b−c)2

Question 42When a die is rolled, the six possible outcomes are ___.

If 4% of x is 100 then the value of x is:

A bar graph is not used for which of the following:

The total surface area of a cube is 384 cm2. Calculate the side of the cube.

Runs scored by 10 batsmen in a one day cricket match are given. Find the average run scored.23, 54, 08, 94, 60, 18, 29, 44, 05, 86

Question 2PQR is a triangle right angled at P and M is a point on QR such that PM⊥QR. Show that PM2=QM×MR.

The sum of three rational numbers is −15.If two numbers are −25 and 310, then find the third number.

Two angles of a triangle are 35∘ and 65∘. What kind of triangle it is on the basis of its angles?

Question 1(v)State whether the number given below is a perfect cube or not:46656

The parallel sides of an isosceles trapezium are 25 cm and 11 cm, and the perpendicular distance between the parallel sides is 13 cm. Find the area of the trapezium.

If the volumes of two cubes are in the ratio 64: 125, then what is the ratio of the lengths of their edges?

(p9q7 +p7q5) ÷ (p2q2 + 1) =

A cuboid shaped bank locker whose length, breadth and height are 50 cm, 50 cm and 2 m respectively has to be secured by a touch sensor system at the rate of ₹ 5 per 100 sq. cm. The total cost of the security arrangement is ___.

Question 116 Solve the following question: The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.

In the following figure, if OQ is angle bisector of ∠POA, then ∠POQ will be equal to ___.

25a2b3÷5a2b= ___________.

The question is about profit and loss,which the app does not have content of.The question which I had problem in understanding the reason behind is:- If the selling price of a TV set is equal to 6/5 of its cost price, find the gain or loss per cent (condition :CP = ₹x and SP = ₹6x/5

The bar graph shows the favourite colours of 20 students in a class. How many more of them favoured blue than pink?

Diagram of the adjacent picture frame has outer dimensions = 24 cm × 28 cm and inner dimensions 16 cm × 20 cm. Find the area of Section BEFC of the frame, if the width of each section is same.

Question 89 (xiv)Factorise the following, using the identity, a2+2ab+b2=(a+b)2a2x3+2abx2+b2x

Give a simple activity to find out whether 4 measurements are enough to draw a quadrilateral.

Question 85 (xiv)Expand the following, using suitable identities.(7x+5)2

Planet A is at a distance of 9.35×106km from Earth and Planet B is 6.27×107 km from Earth. Which planet is nearer to Earth?

Find the value of each of the following expressions:

Question 65 (i)How many vertices does the following solid have?Cone

Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, ∠O=120∘,∠R=105∘ and ∠A=135∘? If not, why?

Ram buys 40 pencils for Rs 70 and sells them at the rate of 30 pencils for Rs 80. Find gain or loss percent.