19743 + Interview Questions in Mathematics Page 34 InterviewSolution

1651.	What do we call a triangle with no equal sides?
Answer» What do we call a triangle with no equal sides?

Discussion

1652.	Find the minimum value of x, if 2x+16≤10x
Answer» Find the minimum value of $x,$ if $2 x + 16 \leq 10 x$

Discussion

1653.	Add the given polynomials.(i) x3 - 2x2 - 9 ; 5x3 + 2x + 9 (ii) - 7m4 + 5m3 + 2 ; 5m4 - 3m3 + 2m2 + 3m - 6 (iii) 2y2 + 7y + 5 ; 3y + 9 ; 3y2 - 4y - 3
Answer» Add the given polynomials. (i) $x^{3} - 2 x^{2} - 9; 5 x^{3} + 2 x + 9$ (ii) $- 7 m^{4} + 5 m^{3} + \sqrt{2}; 5 m^{4} - 3 m^{3} + 2 m^{2} + 3 m - 6$ (iii) $2 y^{2} + 7 y + 5; 3 y + 9; 3 y^{2} - 4 y - 3$

Discussion

1654.	If in a quadrilateral ABC, AC perpendicular to BD and AC and BD bisectors each other then prove that it is a rhombus
Answer» If in a quadrilateral ABC, AC perpendicular to BD and AC and BD bisectors each other then prove that it is a rhombus

Discussion

1655.	A cannon on a level plain is aimed at an angle theta above the horizontal and a shell is fired with a muzzle velocity v0 towards a cliff at a distance R away. The height from the bottom at which the shell strikes the side walls of the cliff is
Answer» A cannon on a level plain is aimed at an angle theta above the horizontal and a shell is fired with a muzzle velocity v0 towards a cliff at a distance R away. The height from the bottom at which the shell strikes the side walls of the cliff is

Discussion

1656.	Question 6(ii)Find the probability of the events given when a die is thrown, list the outcomes of an event of getting:(a) a number greater than 5 (b) a number not greater than 5
Answer» Question 6(ii) Find the probability of the events given when a die is thrown, list the outcomes of an event of getting: (a) a number greater than 5 (b) a number not greater than 5

Discussion

1657.	Question 87 (v)Write the greatest common factor in the following terms.21pqr,−7p2q2r2,49p2qr
Answer» Question 87 (v) Write the greatest common factor in the following terms. $21 p q r, - 7 p^{2} q^{2} r^{2}, 49 p^{2} q r$

Discussion

1658.	−2x>22 can be simplified as
Answer» $- 2 x > 22$ can be simplified as

Discussion

1659.	Express 256×243 in exponential form.
Answer» Express $256 \times 243$ in exponential form.

Discussion

1660.	Question 1(d)State whether the given statement is an equation or not. Give reason for your answer. Identify the variable from the given expression.(7×3)−19=8
Answer» Question 1(d) State whether the given statement is an equation or not. Give reason for your answer. Identify the variable from the given expression. $(7 \times 3) - 19 = 8$

1660.

Question 1(d)State whether the given statement is an equation or not. Give reason for your answer. Identify the variable from the given expression.(7×3)−19=8

Answer»

Question 1(d)

State whether the given statement is an equation or not. Give reason for your answer. Identify the variable from the given expression.

$(7 \times 3) - 19 = 8$

Discussion

1661.	A parallelogram-shaped hall has an area of 180 cm2. It is tiled with parallelogram-shaped tiles of base of 3 cm and height 4 cm. If each tile costs ₹7, then cost of tiling the hall is ___.
Answer» A parallelogram-shaped hall has an area of 180 $c m^{2}$ . It is tiled with parallelogram-shaped tiles of base of 3 cm and height 4 cm. If each tile costs ₹7, then cost of tiling the hall is ___.

1661.

A parallelogram-shaped hall has an area of 180 cm2. It is tiled with parallelogram-shaped tiles of base of 3 cm and height 4 cm. If each tile costs ₹7, then cost of tiling the hall is ___.

Answer»

A parallelogram-shaped hall has an area of 180 $c m^{2}$ . It is tiled with parallelogram-shaped tiles of base of 3 cm and height 4 cm. If each tile costs ₹7, then cost of tiling the hall is ___.

Discussion

1662.	The below graph shows the favourite colour of the students of a class. How many of them like the colour red?6
Answer» The below graph shows the favourite colour of the students of a class. How many of them like the colour red? 6

Discussion

1663.	Construct the following figures.(i) A pair of adjacent angles(ii) Two supplementary angles which are not adjacent angles.(iii) A pair of adjacent complementary angles.
Answer» Construct the following figures. (i) A pair of adjacent angles (ii) Two supplementary angles which are not adjacent angles. (iii) A pair of adjacent complementary angles.

Discussion

1664.	In △ABC, AD is an altitude from A on side BC. If b>c,∠C=23∘ and AD=abcb2−c2, then ∠B is
Answer» In $△ A B C, A D$ is an altitude from $A$ on side $B C$ . If $b > c, ∠ C = 23^{\circ}$ and $A D = \frac{a b c}{b^{2} - c^{2}}$ , then $∠ B$ is

Discussion

1665.	In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find(i) The number of people who read at least one of the newspapers.(ii) The number of people who read exactly one newspaper.
Answer» In a survey of $60$ people, it was found that $25$ people read newspaper $H, 26$ read newspaper $T, 26$ read newspaper $I, 9$ read both $H and I, 11$ read both $H and T, 8$ read both $T and I, 3$ read all three newspapers. Find $(i)$ The number of people who read at least one of the newspapers. $(i i)$ The number of people who read exactly one newspaper.

Discussion

1666.	For the given diagram, if AB:BC=5:13 and AC=14 units, then BC= units.
Answer» For the given diagram, if $A B : B C = 5 : 13$ and $A C = 14$ units, then $B C =$ units.

Discussion

1667.	If a fan has 3 blades, its degree of rotation is .
Answer» If a fan has 3 blades, its degree of rotation is .

Discussion

1668.	Question 1 (d)Given here are some figures:Classify each of them on the basis of the following.(d) Convex polygon
Answer» Question 1 (d) Given here are some figures: Classify each of them on the basis of the following. (d) Convex polygon

Discussion

1669.	In the given figure the area of ΔMDC is equal to 25 cm2. The area of ΔNDC is equal to
Answer» In the given figure the area of $Δ$ MDC is equal to $25 c m^{2}$ . The area of $Δ$ NDC is equal to

Discussion

1670.	Let theproduction function of a firm be Q = 2L2 K2.Find outthe maximum possible output that the firm can produce with 5 units ofL and 2 units of K. What is the maximum possible outputthat the firm can produce with zero unit of L and 10 units ofK?
Answer» Let the production function of a firm be Q = 2L² K². Find out the maximum possible output that the firm can produce with 5 units of L and 2 units of K. What is the maximum possible output that the firm can produce with zero unit of L and 10 units of K?

1670.

Let theproduction function of a firm be Q = 2L2 K2.Find outthe maximum possible output that the firm can produce with 5 units ofL and 2 units of K. What is the maximum possible outputthat the firm can produce with zero unit of L and 10 units ofK?

Answer»

Let the
production function of a firm be Q = 2L² K².

Find out
the maximum possible output that the firm can produce with 5 units of
L and 2 units of K. What is the maximum possible output
that the firm can produce with zero unit of L and 10 units of
K?

Discussion

1671.	Which of the following figures has a greater perimeter?
Answer» Which of the following figures has a greater perimeter?

Discussion

1672.	A man buys a number of pens for ₹ 180. If he had bought 3 more pens for the same amount, each pen would have cost him ₹ 3 less. How many pens did he buy?
Answer» A man buys a number of pens for ₹ 180. If he had bought 3 more pens for the same amount, each pen would have cost him ₹ 3 less. How many pens did he buy?

Discussion

1673.	In the following figure, l1,l2,l3 are parallel to each other. Find the value of ∠BDC if ∠BFE=∠BCD=50∘.
Answer» In the following figure, $l_{1}, l_{2}, l_{3}$ are parallel to each other. Find the value of $∠ B D C if ∠ B F E = ∠ B C D = 50^{\circ} .$

Discussion

1674.	Prove '(2.2 + 4.7) + 3.8' is same as '2.2 + (4.7 + 3.8)'.
Answer» Prove '(2.2 + 4.7) + 3.8' is same as '2.2 + (4.7 + 3.8)'.

Discussion

1675.	Which of the following are the factors of 3y2−y−4?
Answer» Which of the following are the factors of $3 y^{2} - y - 4 ?$

Discussion

1676.	Question 60 (b) What should be subtracted from −7mn+2m2+3n2 to get m2+2mn+n2?
Answer» Question 60 (b) What should be subtracted from $- 7 m n + 2 m^{2} + 3 n^{2}$ to get $m^{2} + 2 m n + n^{2} ?$

1676.

Question 60 (b) What should be subtracted from −7mn+2m2+3n2 to get m2+2mn+n2?

Answer»

Question 60 (b)

What should be subtracted from $- 7 m n + 2 m^{2} + 3 n^{2}$ to get $m^{2} + 2 m n + n^{2} ?$

Discussion

1677.	'रहि चकि चित्रलिखी सी' पंक्ति का मर्म अपने शब्दों में स्पष्ट कीजिए।
Answer» 'रहि चकि चित्रलिखी सी' पंक्ति का मर्म अपने शब्दों में स्पष्ट कीजिए।

Discussion

1678.	A triangle has two of its sides along the axes , its third side touches the circle x2+y2-4x-4y+4=0 locus of circumcentre of triangle i
Answer» A triangle has two of its sides along the axes , its third side touches the circle x2+y2-4x-4y+4=0 locus of circumcentre of triangle i

Discussion

1679.	A number between 1/6and 1/7 which means also is (How to solve) A:1/8. B:1/5 C:13/42. D:13/84
Answer» A number between 1/6and 1/7 which means also is (How to solve) A:1/8. B:1/5 C:13/42. D:13/84

Discussion

1680.	3Y-10yadd16 2y-7
Answer» 3Y-10yadd16 2y-7

Discussion

1681.	Traffic police have put a speed limit on heavy vehicles like trucks. A truck's speed must not exceed 54 km/hr. Rahul was driving his truck at 20 m/s. It can be concluded that Rahul was over speeding. State true or false.
Answer» Traffic police have put a speed limit on heavy vehicles like trucks. A truck's speed must not exceed 54 km/hr. Rahul was driving his truck at 20 m/s. It can be concluded that Rahul was over speeding. State true or false.

Discussion

1682.	p and q were picked out of the number line, where p was lying to the right of q. Then,
Answer» $p$ and $q$ were picked out of the number line, where $p$ was lying to the right of $q$ . Then,

Discussion

1683.	Fill in the blanks with proper answers: (1) When a negative number is raised to an even power, the sign of the number is ……. . (2) When a positive number is raised to an odd power, the sign of the number is …….. . (3) When a negative number is raised to an odd power, then the sign of the number is ……. . (4) (−4)2 = …… (5) (−3)3 = ……
Answer» Fill in the blanks with proper answers: (1) When a negative number is raised to an even power, the sign of the number is ……. . (2) When a positive number is raised to an odd power, the sign of the number is …….. . (3) When a negative number is raised to an odd power, then the sign of the number is ……. . (4) (−4)² = …… (5) (−3)³ = ……

1683.

Fill in the blanks with proper answers: (1) When a negative number is raised to an even power, the sign of the number is ……. . (2) When a positive number is raised to an odd power, the sign of the number is …….. . (3) When a negative number is raised to an odd power, then the sign of the number is ……. . (4) (−4)2 = …… (5) (−3)3 = ……

Answer»

Fill in the blanks with proper answers:

(1) When a negative number is raised to an even power, the sign of the number is ……. .

(2) When a positive number is raised to an odd power, the sign of the number is …….. .

(3) When a negative number is raised to an odd power, then the sign of the number is ……. .

(4) (−4)² = ……

(5) (−3)³ = ……

Discussion

1684.	Twice of a number when added to 4 becomes 7/3.find the number
Answer» Twice of a number when added to 4 becomes 7/3.find the number

Discussion

1685.

Enter the following transactions in Proper Subsidiary Books of Ram, Lucknow (UP) for the month of January 2018: 2018 ₹ Jan. 1 Sold to Ramesh of Delhi goods ₹ 15,000, charged IGST 12% Jan. 1 Bought goods from Hari Ram, Kanpur (UP) for ₹ 8,000, plus CGST and SGST 6% each Jan. 2 Ramesh returned goods 1,000 Jan. 2 Sold to Dina Nath, Lucknow goods of ₹ 10,000, charged CGST and SGST 6% each Jan. 2 Purchased form Mangal, Kolkata goods for ₹ 50,000, plus IGST 12% Jan. 4 Returned goods to Mangal 5,000 Jan. 4 Sold to Zakir Hussain, Lucknow goods of ₹ 5,000 plus CGST and SGST 6% each Jan. 5 Zakir Hussain returned goods 500 Jan. 7 Returned goods to Hari Ram 500 Jan. 9 Purchased from Raghunath, Delhi goods of ₹ 10,000 subject to a Trade Discount of 10%, plus IGST 12% Jan. 10 Sold goods to Raja Ram subject to Trade Discount of 5%, charged CGST and SGST 6% each 5,000

Answer» Enter the following transactions in Proper Subsidiary Books of Ram, Lucknow (UP) for the month of January 2018:

2018		₹
Jan. 1	Sold to Ramesh of Delhi goods ₹ 15,000, charged IGST 12%
Jan. 1	Bought goods from Hari Ram, Kanpur (UP) for ₹ 8,000, plus CGST and SGST 6% each
Jan. 2	Ramesh returned goods	1,000
Jan. 2	Sold to Dina Nath, Lucknow goods of ₹ 10,000, charged CGST and SGST 6% each
Jan. 2	Purchased form Mangal, Kolkata goods for ₹ 50,000, plus IGST 12%
Jan. 4	Returned goods to Mangal	5,000
Jan. 4	Sold to Zakir Hussain, Lucknow goods of ₹ 5,000 plus CGST and SGST 6% each
Jan. 5	Zakir Hussain returned goods	500
Jan. 7	Returned goods to Hari Ram	500
Jan. 9	Purchased from Raghunath, Delhi goods of ₹ 10,000 subject to a Trade Discount of 10%, plus IGST 12%
Jan. 10	Sold goods to Raja Ram subject to Trade Discount of 5%, charged CGST and SGST 6% each	5,000

Discussion

1686.	Find the average speed of a car which covers a distance of 14 km in the first 15 minutes and 10 km in the next 15 minutes.
Answer» Find the average speed of a car which covers a distance of 14 km in the first 15 minutes and 10 km in the next 15 minutes.

Discussion

1687.	For any natural numbers ( m,n ) , prove that ( m³ + n³ + 4 ) cannot be a perfect cube .
Answer» For any natural numbers ( m,n ) , prove that ( m³ + n³ + 4 ) cannot be a perfect cube .

Discussion

1688.	Using the information given in the figure, find the values of x and y.
Answer» Using the information given in the figure, find the values of x and y.

1688.

Using the information given in the figure, find the values of x and y.

Answer»

Using the information given in the figure, find the values of x and y.

Discussion

1689.	Determine the area of the given circle if the area of a square grid is 2 sq.cm ?
Answer» Determine the area of the given circle if the area of a square grid is 2 sq.cm ?

Discussion

1690.	39 people can repair a road in 12 days, working 5 hours a day. In how many days will 30 people working 6 hours a day complete the work?
Answer» 39 people can repair a road in 12 days, working 5 hours a day. In how many days will 30 people working 6 hours a day complete the work?

Discussion

1691.	Match the following inequalities with their solution sets.
Answer» Match the following inequalities with their solution sets.

Discussion

1692.	The cost of laying grass in a triangular field of sides 50m, 65m and 65m at the rate of ₹7 per m2 is ___ .
Answer» The cost of laying grass in a triangular field of sides 50m, 65m and 65m at the rate of ₹7 per $m^{2}$ is ___ .

Discussion

1693.	The value of ((32)−1)−2 is .
Answer» The value of $({(\frac{3}{2})^{- 1})}^{- 2}$ is .

Discussion

1694.	Two poles,18m and 13m high,stand upright in a playground. If their feet are 12m apart find the distance between the poles
Answer» Two poles,18m and 13m high,stand upright in a playground. If their feet are 12m apart find the distance between the poles

Discussion

1695.	By what angle does a soldier turn when he takes an "about turn"?
Answer» By what angle does a soldier turn when he takes an "about turn"?

Discussion

1696.	Evaluate (99)3 by using suitable identity.
Answer» Evaluate (99)³ by using suitable identity.

Discussion

1697.	Find the value of a if, 3a4=154.
Answer» Find the value of $a$ if, $3 \frac{a}{4} = \frac{15}{4}$ .

1697.

Find the value of a if, 3a4=154.

Answer»

Find the value of $a$ if,

$3 \frac{a}{4} = \frac{15}{4}$ .

Discussion

1698.	Show how are the following items dealt with while preparing the final accounts for the year ended 31st March, 2019 of a Not-for-profit Organisation:Case IExpenditure on construction of Pavilion is ₹ 6,00,000. The construction work is in progress and has not yet completed. Capital Fund as at 31st March, 2018 is ₹ 20,00,000.Case IIExpenditure on construction of Pavilion is ₹ 6,00,000. The construction work is in progress and has not yet completed. Pavilion Fund as at 31st March, 2018 is ₹ 10,00,000 and Capital Fund as at 31st March, 2018 is ₹ 20,00,000.Case IIIExpenditure on construction of Pavilion is ₹ 6,00,000. The construction work is in progress and has not yet completed. Pavilion Fund as at 31st March, 2018 is ₹ 10,00,000, and Capital Fund as at 31st March, 2018 is ₹ 20,00,000. Donation Received for Pavilion on 1st January, 2019 is ₹ 5,00,000.
Answer» Show how are the following items dealt with while preparing the final accounts for the year ended 31st March, 2019 of a Not-for-profit Organisation: Case I Expenditure on construction of Pavilion is ₹ 6,00,000. The construction work is in progress and has not yet completed. Capital Fund as at 31st March, 2018 is ₹ 20,00,000. Case II Expenditure on construction of Pavilion is ₹ 6,00,000. The construction work is in progress and has not yet completed. Pavilion Fund as at 31st March, 2018 is ₹ 10,00,000 and Capital Fund as at 31st March, 2018 is ₹ 20,00,000. Case III Expenditure on construction of Pavilion is ₹ 6,00,000. The construction work is in progress and has not yet completed. Pavilion Fund as at 31st March, 2018 is ₹ 10,00,000, and Capital Fund as at 31st March, 2018 is ₹ 20,00,000. Donation Received for Pavilion on 1st January, 2019 is ₹ 5,00,000.

Discussion

1699.	The pie chart shows the number of fruits sold in a store. Given that the number of apples is 180 and number of oranges is 400, what is the number of pears sold in the fruit store?
Answer» The pie chart shows the number of fruits sold in a store. Given that the number of apples is 180 and number of oranges is 400, what is the number of pears sold in the fruit store?

Discussion

1700.	Find number of possible line(s) of symmetry that triangles can have. Add these values and denote the sum by X. Similarly find the number of possible line(s) of symmetry that rectangles can have. Add these values and denote the sum by Y. Find the value of (X + Y). Your answer should be a number ___
Answer» Find number of possible line(s) of symmetry that triangles can have. Add these values and denote the sum by X. Similarly find the number of possible line(s) of symmetry that rectangles can have. Add these values and denote the sum by Y. Find the value of (X + Y). Your answer should be a number ___

Discussion

Explore topic-wise InterviewSolutions in .

What do we call a triangle with no equal sides?

Find the minimum value of x, if 2x+16≤10x

Add the given polynomials.(i) x3 - 2x2 - 9 ; 5x3 + 2x + 9 (ii) - 7m4 + 5m3 + 2 ; 5m4 - 3m3 + 2m2 + 3m - 6 (iii) 2y2 + 7y + 5 ; 3y + 9 ; 3y2 - 4y - 3

If in a quadrilateral ABC, AC perpendicular to BD and AC and BD bisectors each other then prove that it is a rhombus

A cannon on a level plain is aimed at an angle theta above the horizontal and a shell is fired with a muzzle velocity v0 towards a cliff at a distance R away. The height from the bottom at which the shell strikes the side walls of the cliff is

Question 6(ii)Find the probability of the events given when a die is thrown, list the outcomes of an event of getting:(a) a number greater than 5 (b) a number not greater than 5

Question 87 (v)Write the greatest common factor in the following terms.21pqr,−7p2q2r2,49p2qr

−2x&gt;22 can be simplified as

Express 256×243 in exponential form.

Question 1(d)State whether the given statement is an equation or not. Give reason for your answer. Identify the variable from the given expression.(7×3)−19=8

A parallelogram-shaped hall has an area of 180 cm2. It is tiled with parallelogram-shaped tiles of base of 3 cm and height 4 cm. If each tile costs ₹7, then cost of tiling the hall is ___.

The below graph shows the favourite colour of the students of a class. How many of them like the colour red?6

Construct the following figures.(i) A pair of adjacent angles(ii) Two supplementary angles which are not adjacent angles.(iii) A pair of adjacent complementary angles.

In △ABC, AD is an altitude from A on side BC. If b&gt;c,∠C=23∘ and AD=abcb2−c2, then ∠B is

For the given diagram, if AB:BC=5:13 and AC=14 units, then BC= units.

If a fan has 3 blades, its degree of rotation is .

Question 1 (d)Given here are some figures:Classify each of them on the basis of the following.(d) Convex polygon

In the given figure the area of ΔMDC is equal to 25 cm2. The area of ΔNDC is equal to

Let theproduction function of a firm be Q = 2L2 K2.Find outthe maximum possible output that the firm can produce with 5 units ofL and 2 units of K. What is the maximum possible outputthat the firm can produce with zero unit of L and 10 units ofK?

Which of the following figures has a greater perimeter?

A man buys a number of pens for ₹ 180. If he had bought 3 more pens for the same amount, each pen would have cost him ₹ 3 less. How many pens did he buy?

In the following figure, l1,l2,l3 are parallel to each other. Find the value of ∠BDC if ∠BFE=∠BCD=50∘.

Prove '(2.2 + 4.7) + 3.8' is same as '2.2 + (4.7 + 3.8)'.

Which of the following are the factors of 3y2−y−4?

Question 60 (b) What should be subtracted from −7mn+2m2+3n2 to get m2+2mn+n2?

'रहि चकि चित्रलिखी सी' पंक्ति का मर्म अपने शब्दों में स्पष्ट कीजिए।

A triangle has two of its sides along the axes , its third side touches the circle x2+y2-4x-4y+4=0 locus of circumcentre of triangle i

A number between 1/6and 1/7 which means also is (How to solve) A:1/8. B:1/5 C:13/42. D:13/84

3Y-10yadd16 2y-7

Traffic police have put a speed limit on heavy vehicles like trucks. A truck's speed must not exceed 54 km/hr. Rahul was driving his truck at 20 m/s. It can be concluded that Rahul was over speeding. State true or false.

p and q were picked out of the number line, where p was lying to the right of q. Then,

Twice of a number when added to 4 becomes 7/3.find the number

Find the average speed of a car which covers a distance of 14 km in the first 15 minutes and 10 km in the next 15 minutes.

For any natural numbers ( m,n ) , prove that ( m³ + n³ + 4 ) cannot be a perfect cube .

Using the information given in the figure, find the values of x and y.

Determine the area of the given circle if the area of a square grid is 2 sq.cm ?

39 people can repair a road in 12 days, working 5 hours a day. In how many days will 30 people working 6 hours a day complete the work?

Match the following inequalities with their solution sets.

The cost of laying grass in a triangular field of sides 50m, 65m and 65m at the rate of ₹7 per m2 is ___ .

The value of ((32)−1)−2 is .

Two poles,18m and 13m high,stand upright in a playground. If their feet are 12m apart find the distance between the poles

By what angle does a soldier turn when he takes an "about turn"?

Evaluate (99)3 by using suitable identity.

Find the value of a if, 3a4=154.

The pie chart shows the number of fruits sold in a store. Given that the number of apples is 180 and number of oranges is 400, what is the number of pears sold in the fruit store?

Find number of possible line(s) of symmetry that triangles can have. Add these values and denote the sum by X. Similarly find the number of possible line(s) of symmetry that rectangles can have. Add these values and denote the sum by Y. Find the value of (X + Y). Your answer should be a number ___

−2x>22 can be simplified as

In △ABC, AD is an altitude from A on side BC. If b>c,∠C=23∘ and AD=abcb2−c2, then ∠B is