19743 + Interview Questions in Mathematics Page 38 InterviewSolution

1851.	△XYZ is constructed such that XY = 5 cm, XZ = 8.5 cm and ∠X = 75∘. Then △XYZ is
Answer» $△$ XYZ is constructed such that XY = 5 cm, XZ = 8.5 cm and $∠$ X = 75 $^{\circ}$ . Then $△$ XYZ is

Discussion

1852.	Sort the following in the increasing order of their values from top to bottom.
Answer» Sort the following in the increasing order of their values from top to bottom.

Discussion

1853.	Question 115 A Hill, 101 13 m in height, has 14th of its height underwater, what is the height of the hill visible above the water?
Answer» Question 115 A Hill, 101 $\frac{1}{3}$ m in height, has $\frac{1}{4}$ th of its height underwater, what is the height of the hill visible above the water?

1853.

Question 115 A Hill, 101 13 m in height, has 14th of its height underwater, what is the height of the hill visible above the water?

Answer»

Question 115

A Hill, 101 $\frac{1}{3}$ m in height, has $\frac{1}{4}$ th of its height underwater, what is the height of the hill visible above the water?

Discussion

1854.	Find the order of rotational symmetry for the given image.
Answer» Find the order of rotational symmetry for the given image.

Discussion

1855.	When we rotate a semi-circle along the axis parallel to its plane, what shape do we obtain?
Answer» When we rotate a semi-circle along the axis parallel to its plane, what shape do we obtain?

Discussion

1856.

M/s Ram Narain & Sons of Kerala, who are dealers in readymade garments, purchased the following :- 2017 May 2 Purchased from Fashion House, Mumbai (Maharashtra) :- 100 Shirts ₹1,800 per Shirt 75 T-shirts ₹ 1,600 per piece Less: Trade Discount 20%; and freight charges payable ₹ 10,000. 10 Purchased from Appolo Garments, Kerala :- 65 Shirts ₹ 2,000 per piece 80 T-shirts ₹ 1,500 per piece Less: 20% Trade Discount and freight charges payable ₹ 2,000. May 15 Purchased from Garden Furniture House, Kolkata :- 12 Chairs ₹ 5,000 per Chair 25 Purchased from Amitabh Shirts, New Delhi for cash :- 120 Shirts ₹ 1,500 per Shirt Prepare Purchase Book assuming CGST 9% and SGST 9%.

Answer» M/s Ram Narain & Sons of Kerala, who are dealers in readymade garments, purchased the following :-

2017
May 2	Purchased from Fashion House, Mumbai (Maharashtra) :-
	100 Shirts ₹1,800 per Shirt
	75 T-shirts ₹ 1,600 per piece
	Less: Trade Discount 20%; and freight charges payable ₹ 10,000.
10	Purchased from Appolo Garments, Kerala :-
	65 Shirts ₹ 2,000 per piece
	80 T-shirts ₹ 1,500 per piece
	Less: 20% Trade Discount and freight charges payable ₹ 2,000.
May 15	Purchased from Garden Furniture House, Kolkata :-
	12 Chairs ₹ 5,000 per Chair
25	Purchased from Amitabh Shirts, New Delhi for cash :-
	120 Shirts ₹ 1,500 per Shirt

Prepare Purchase Book assuming CGST 9% and SGST 9%.

Discussion

1857.	Convert the following fractions into percentage.
Answer» Convert the following fractions into percentage.

1857.

Convert the following fractions into percentage.

Answer»

Convert the following fractions into percentage.

Discussion

1858.	What is the sum of 5th and 6th triangular number?
Answer» What is the sum of 5th and 6th triangular number?

Discussion

1859.	270 divided by which of the following number gives -54?
Answer» 270 divided by which of the following number gives -54?

Discussion

1860.	Refer to the following figure: D and C are equidistant from O. If any point P is located such that △ ODP is congurent to △ OCP, then P lies on the ________.
Answer» Refer to the following figure: D and C are equidistant from O. If any point P is located such that $△$ ODP is congurent to $△$ OCP, then P lies on the ________.

1860.

Refer to the following figure: D and C are equidistant from O. If any point P is located such that △ ODP is congurent to △ OCP, then P lies on the ________.

Answer»

Refer to the following figure:

D and C are equidistant from O.

If any point P is located such that $△$ ODP is congurent to $△$ OCP, then P lies on the ________.

Discussion

1861.	The product of two fractions is 56. If one of the fraction is 13, then the other fraction is .
Answer» The product of two fractions is $\frac{5}{6}$ . If one of the fraction is $\frac{1}{3}$ , then the other fraction is .

Discussion

1862.	Question 5(ii)Give expression for the following case.11 subtracted from 2m.
Answer» Question 5(ii) Give expression for the following case. 11 subtracted from 2m.

1862.

Question 5(ii)Give expression for the following case.11 subtracted from 2m.

Answer»

Question 5(ii)

Give expression for the following case.

11 subtracted from 2m.

Discussion

1863.	If the acute angles between the pairs of lines 3x2−7xy+4y2=0 and 6x2−5xy+y2=0 be θ1 and θ2 respectively, then
Answer» If the acute angles between the pairs of lines $3 x^{2} - 7 x y + 4 y^{2} = 0$ and $6 x^{2} - 5 x y + y^{2} = 0$ be $θ_{1}$ and $θ_{2}$ respectively, then

Discussion

1864.	A car moves from X toY with two different speeds for first half dis†an ce its speed is v1 and for next half dis†an ce its speed is v2 now car takes U turn and moves from Y toX with two different speed v1 for first half time and v2 for next half time the ratio of average speed of car from X to Y to the Y to X is
Answer» A car moves from X toY with two different speeds for first half dis†an ce its speed is v1 and for next half dis†an ce its speed is v2 now car takes U turn and moves from Y toX with two different speed v1 for first half time and v2 for next half time the ratio of average speed of car from X to Y to the Y to X is

Discussion

1865.	In the figure shown, the two lines are parallel to each other. Which of the following options is incorrect?
Answer» In the figure shown, the two lines are parallel to each other. Which of the following options is incorrect?

1865.

In the figure shown, the two lines are parallel to each other. Which of the following options is incorrect?

Answer»

In the figure shown, the two lines are parallel to each other. Which of the following options is incorrect?

Discussion

1866.	In the figure, x, y, and z are the internal angles of ∆ABD. Line ED \|\| AB and side AD is extended to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.
Answer» In the figure, x, y, and z are the internal angles of ∆ABD. Line ED \|\| AB and side AD is extended to point P and the value of $∠$ EDP and $∠$ EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.

1866.

In the figure, x, y, and z are the internal angles of ∆ABD. Line ED || AB and side AD is extended to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are and _, respectively.

Answer»

In the figure, x, y, and z are the internal angles of ∆ABD. Line ED || AB and side AD is extended to point P and the value of $∠$ EDP and $∠$ EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.

Discussion

1867.	In the adjoining figure the value of x (in degrees) is?29
Answer» In the adjoining figure the value of x (in degrees) is? 29

Discussion

1868.	Amita has 12 marbles and Reeta has 8 marbles. Geeta says that she has 2 times the marbles that Reeta has. Then ratio of marbles of - Amita : Reeta : Geeta is ___
Answer» Amita has 12 marbles and Reeta has 8 marbles. Geeta says that she has 2 times the marbles that Reeta has. Then ratio of marbles of - Amita : Reeta : Geeta is ___

1868.

Amita has 12 marbles and Reeta has 8 marbles. Geeta says that she has 2 times the marbles that Reeta has. Then ratio of marbles of - Amita : Reeta : Geeta is ___

Answer»

Amita has 12 marbles and Reeta has 8 marbles. Geeta says that she has 2 times the marbles that Reeta has.

Then ratio of marbles of - Amita : Reeta : Geeta is ___

Discussion

1869.	The pen in the image shown makes an angle with the pen stand. The sum of the angles shown in the figure is (in degrees)? ___
Answer» The pen in the image shown makes an angle with the pen stand. The sum of the angles shown in the figure is (in degrees)? ___

1869.

The pen in the image shown makes an angle with the pen stand. The sum of the angles shown in the figure is (in degrees)? ___

Answer»

The pen in the image shown makes an angle with the pen stand. The sum of the angles shown in the figure is (in degrees)?

___

Discussion

1870.	When 50% is converted into a fraction, the resultant fraction will be .
Answer» When $50$ % is converted into a fraction, the resultant fraction will be .

Discussion

1871.	A line that intersects two other lines at two distinct points, is called a .
Answer» A line that intersects two other lines at two distinct points, is called a .

Discussion

1872.

Jim keeps tracks of the number of houses built in his neighbourhood for the following years as shown in the table: YearNumber of Houses Built201462015720167201710201814Draw the line graph for this data.

Answer»

Jim keeps tracks of the number of houses built in his neighbourhood for the following years as shown in the table:

Year	Number of Houses Built
2014	6
2015	7
2016	7
2017	10
2018	14

Draw the line graph for this data.

Discussion

1873.	The sum of two consecutive multiples of 2 is 18. Find the numbers.
Answer» The sum of two consecutive multiples of 2 is 18. Find the numbers.

Discussion

1874.	The roster form of the set {x:x=n2n+1,where n ϵ N and n<4} is ________.
Answer» The roster form of the set ${x : x = \frac{n}{2 n + 1}, where n ϵ N and n < 4}$ is ________.

Discussion

1875.	Find the frequency of 40 in the following given set of data.10, 40, 80, 100, 60, 40, 30, 40, 20, 40.
Answer» Find the frequency of 40 in the following given set of data. 10, 40, 80, 100, 60, 40, 30, 40, 20, 40.

1875.

Find the frequency of 40 in the following given set of data.10, 40, 80, 100, 60, 40, 30, 40, 20, 40.

Answer»

Find the frequency of 40 in the following given set of data.

10, 40, 80, 100, 60, 40, 30, 40, 20, 40.

Discussion

1876.	Find the number of lines of symmetry in each of the following shapes.
Answer» Find the number of lines of symmetry in each of the following shapes.

Discussion

1877.	If both a and b are rational numbers then find the values of a and b √3-1 upon √3+1 = a+ b√3
Answer» If both a and b are rational numbers then find the values of a and b √3-1 upon √3+1 = a+ b√3

Discussion

1878.	In a chocolate storage jar, there are 4z3 chocolates. If the total cost of all the chocolates is $ 20z5, find the cost of each chocolate.
Answer» In a chocolate storage jar, there are $4 z^{3}$ chocolates. If the total cost of all the chocolates is $$ 20 z^{5}$ , find the cost of each chocolate.

Discussion

1879.	Simplify:140 ÷ [( – 11) × ( – 3) – ( – 42) ÷ 14 – 1]
Answer» Simplify: 140 ÷ [( – 11) × ( – 3) – ( – 42) ÷ 14 – 1]

Discussion

1880.	315 when expressed as an improper fraction equals .
Answer» $3 \frac{1}{5}$ when expressed as an improper fraction equals .

Discussion

1881.	A field is in the shape of a triangle whose sides are 90m, 70m and 40m. Find the cost of levelling the ground at the rate of Rs. 2.50 per Metre square
Answer» A field is in the shape of a triangle whose sides are 90m, 70m and 40m. Find the cost of levelling the ground at the rate of Rs. 2.50 per Metre square

Discussion

1882.	Use isometric dot paper and make an isometric sketch for each one of the given shapes:
Answer» Use isometric dot paper and make an isometric sketch for each one of the given shapes:

Discussion

1883.	Question 3(c) Give first the step you will use to separate the variable and then solve the equation: 20p3=40
Answer» Question 3(c) Give first the step you will use to separate the variable and then solve the equation: $\frac{20 p}{3} = 40$

Discussion

1884.	If (−2)x=−128, then find the value 'x'.
Answer» If $(- 2)^{x} = - 128$ , then find the value ' $x$ '.

Discussion

1885.	Express the following as km using decimals:70 km 5 m
Answer» Express the following as km using decimals: 70 km 5 m

1885.

Express the following as km using decimals:70 km 5 m

Answer»

Express the following as km using decimals:

70 km 5 m

Discussion

1886.	Ram earns Rs. 80 in 7 days and Hari Rs. 90 in 12 days. Find the ratio of their earnings.
Answer» Ram earns Rs. 80 in 7 days and Hari Rs. 90 in 12 days. Find the ratio of their earnings.

Discussion

1887.	Arrange the following fractions in ascending order from top to bottom.
Answer» Arrange the following fractions in ascending order from top to bottom.

Discussion

1888.	Namita travels 20 km 50 m every day. Out of this she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto?
Answer» Namita travels 20 km 50 m every day. Out of this she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto?

Discussion

1889.	The population of a town is 50,000. It decreases by 50 per thousand per year. Find out the population after 2 years.
Answer» The population of a town is 50,000. It decreases by 50 per thousand per year. Find out the population after 2 years.

Discussion

1890.	A number is chosen from 1 to 15, find the probability that the chosen number is a prime number:
Answer» A number is chosen from 1 to 15, find the probability that the chosen number is a prime number:

Discussion

1891.	Find the volume of the space garbage collected in a single day.
Answer» Find the volume of the space garbage collected in a single day.

Discussion

1892.	Which of the following cannot be represented as a mixed fraction?
Answer» Which of the following cannot be represented as a mixed fraction?

Discussion

1893.	If 8 pencils cost ₹24, a dozen of them will cost ___.
Answer» If 8 pencils cost ₹24, a dozen of them will cost ___.

Discussion

1894.	If there is an equilateral triangle then it is equiangular also having all the three angles equal to
Answer» If there is an equilateral triangle then it is equiangular also having all the three angles equal to

Discussion

1895.	The measurements of some cuboids are as follows. (Complete the given table).
Answer» The measurements of some cuboids are as follows. (Complete the given table).

1895.

The measurements of some cuboids are as follows. (Complete the given table).

Answer»

The measurements of some cuboids are as follows. (Complete the given table).

Discussion

1896.	If the perimeter of the given figure is 14 cm, what will be its area?
Answer» If the perimeter of the given figure is 14 cm, what will be its area?

Discussion

1897.	Question 5 (ii) When a = 0, b = -1, find the value of the given expression: 2a2+b2+1
Answer» Question 5 (ii) When a = 0, b = -1, find the value of the given expression: $2 a^{2} + b^{2} + 1$

1897.

Question 5 (ii) When a = 0, b = -1, find the value of the given expression: 2a2+b2+1

Answer»

Question 5 (ii)

When a = 0, b = -1, find the value of the given expression:
$2 a^{2} + b^{2} + 1$

Discussion

1898.	From the figure given, find the sum of x, y and z.
Answer» From the figure given, find the sum of $x, y$ and $z$ .

Discussion

1899.	The area of a rectangle is 18 sq. cm. If its length is 6 cm, what is its perimeter?
Answer» The area of a rectangle is 18 sq. cm. If its length is 6 cm, what is its perimeter?

Discussion

1900.	A box made of sheet metal costs ₹ 6480 at ₹ 120 per square metre. If the box is 5 m long and 3 m wide, find its height.
Answer» A box made of sheet metal costs ₹ 6480 at ₹ 120 per square metre. If the box is 5 m long and 3 m wide, find its height.

Discussion

Explore topic-wise InterviewSolutions in .

△XYZ is constructed such that XY = 5 cm, XZ = 8.5 cm and ∠X = 75∘. Then △XYZ is

Sort the following in the increasing order of their values from top to bottom.

Question 115 A Hill, 101 13 m in height, has 14th of its height underwater, what is the height of the hill visible above the water?

Find the order of rotational symmetry for the given image.

When we rotate a semi-circle along the axis parallel to its plane, what shape do we obtain?

Convert the following fractions into percentage.

What is the sum of 5th and 6th triangular number?

270 divided by which of the following number gives -54?

Refer to the following figure: D and C are equidistant from O. If any point P is located such that △ ODP is congurent to △ OCP, then P lies on the ________.

The product of two fractions is 56. If one of the fraction is 13, then the other fraction is .

Question 5(ii)Give expression for the following case.11 subtracted from 2m.

If the acute angles between the pairs of lines 3x2−7xy+4y2=0 and 6x2−5xy+y2=0 be θ1 and θ2 respectively, then

In the figure shown, the two lines are parallel to each other. Which of the following options is incorrect?

In the figure, x, y, and z are the internal angles of ∆ABD. Line ED || AB and side AD is extended to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.

In the adjoining figure the value of x (in degrees) is?29

Amita has 12 marbles and Reeta has 8 marbles. Geeta says that she has 2 times the marbles that Reeta has. Then ratio of marbles of - Amita : Reeta : Geeta is ___

The pen in the image shown makes an angle with the pen stand. The sum of the angles shown in the figure is (in degrees)? ___

When 50% is converted into a fraction, the resultant fraction will be .

A line that intersects two other lines at two distinct points, is called a .

Jim keeps tracks of the number of houses built in his neighbourhood for the following years as shown in the table: YearNumber of Houses Built201462015720167201710201814Draw the line graph for this data.

The sum of two consecutive multiples of 2 is 18. Find the numbers.

The roster form of the set {x:x=n2n+1,where n ϵ N and n&lt;4} is ________.

Find the frequency of 40 in the following given set of data.10, 40, 80, 100, 60, 40, 30, 40, 20, 40.

Find the number of lines of symmetry in each of the following shapes.

If both a and b are rational numbers then find the values of a and b √3-1 upon √3+1 = a+ b√3

In a chocolate storage jar, there are 4z3 chocolates. If the total cost of all the chocolates is $ 20z5, find the cost of each chocolate.

Simplify:140 ÷ [( – 11) × ( – 3) – ( – 42) ÷ 14 – 1]

315 when expressed as an improper fraction equals .

A field is in the shape of a triangle whose sides are 90m, 70m and 40m. Find the cost of levelling the ground at the rate of Rs. 2.50 per Metre square

Use isometric dot paper and make an isometric sketch for each one of the given shapes:

Question 3(c) Give first the step you will use to separate the variable and then solve the equation: 20p3=40

If (−2)x=−128, then find the value 'x'.

Express the following as km using decimals:70 km 5 m

Ram earns Rs. 80 in 7 days and Hari Rs. 90 in 12 days. Find the ratio of their earnings.

Arrange the following fractions in ascending order from top to bottom.

Namita travels 20 km 50 m every day. Out of this she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto?

The population of a town is 50,000. It decreases by 50 per thousand per year. Find out the population after 2 years.

A number is chosen from 1 to 15, find the probability that the chosen number is a prime number:

Find the volume of the space garbage collected in a single day.

Which of the following cannot be represented as a mixed fraction?

If 8 pencils cost ₹24, a dozen of them will cost ___.

If there is an equilateral triangle then it is equiangular also having all the three angles equal to

The measurements of some cuboids are as follows. (Complete the given table).

If the perimeter of the given figure is 14 cm, what will be its area?

Question 5 (ii) When a = 0, b = -1, find the value of the given expression: 2a2+b2+1

From the figure given, find the sum of x, y and z.

The area of a rectangle is 18 sq. cm. If its length is 6 cm, what is its perimeter?

A box made of sheet metal costs ₹ 6480 at ₹ 120 per square metre. If the box is 5 m long and 3 m wide, find its height.

In the figure, x, y, and z are the internal angles of ∆ABD. Line ED || AB and side AD is extended to point P and the value of ∠EDP and ∠EDB are n and m, respectively. Then, the values of n and m are and _, respectively.

The roster form of the set {x:x=n2n+1,where n ϵ N and n<4} is ________.