19743 + Interview Questions in Mathematics Page 125 InterviewSolution

6201.	Write the missing number.Generalized form of 517 is:5 x 100 + 10 x ____ + 71
Answer» Write the missing number. Generalized form of 517 is: 5 x 100 + 10 x ____ + 7 1

Discussion

6202.	What is the equivalent fraction to 78 ?
Answer» $What is the equivalent fraction to 78 ?$

Discussion

6203.	Solve the following :In an isosceles triangle, the base angles are equal. The vertex angle is 40∘. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180∘.
Answer» Solve the following : In an isosceles triangle, the base angles are equal. The vertex angle is $40^{\circ}$ . What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is $180^{\circ}$ .

Discussion

6204.	Question 3 (i) Find the value of the following expression, when x = -1: 2x - 7
Answer» Question 3 (i) Find the value of the following expression, when x = -1: 2x - 7

6204.

Question 3 (i) Find the value of the following expression, when x = -1: 2x - 7

Answer»

Question 3 (i)

Find the value of the following expression, when x = -1:
2x - 7

Discussion

6205.	if X=2√3+22√3−2 and Y=2√3−22√3+2 Find X2+Y2−XYX2+Y2+XY
Answer» if $X = \frac{\sqrt[2]{3} + 2}{\sqrt[2]{3} - 2}$ and $Y = \frac{\sqrt[2]{3} - 2}{\sqrt[2]{3} + 2}$ Find $\frac{X^{2} + Y^{2} - X Y}{X^{2} + Y^{2} + X Y}$

6205.

if X=2√3+22√3−2 and Y=2√3−22√3+2 Find X2+Y2−XYX2+Y2+XY

Answer»

if $X = \frac{\sqrt[2]{3} + 2}{\sqrt[2]{3} - 2}$ and

$Y = \frac{\sqrt[2]{3} - 2}{\sqrt[2]{3} + 2}$

Find $\frac{X^{2} + Y^{2} - X Y}{X^{2} + Y^{2} + X Y}$

Discussion

6206.	A certain number of books are bought for Rs 600 per dozen and all of them are sold at a profit of 20%. Find the selling price for each book.
Answer» A certain number of books are bought for Rs 600 per dozen and all of them are sold at a profit of 20%. Find the selling price for each book.

Discussion

6207.	8.4 ÷ _____ = 2.1
Answer» 8.4 $\div$ _____ = 2.1

Discussion

6208.	Question 12In a quadrilateral ABCD, ∠A+∠D=90∘. Prove that AC2+BD2=AD2+BC2.
Answer» Question 12 In a quadrilateral ABCD, $∠ A + ∠ D = 90^{\circ}$ . Prove that $A C^{2} + B D^{2} = A D^{2} + B C^{2}$ .

Discussion

6209.	Remembering that 1AD came immediately after 1BC, while solving these problems take 1BC as -1 and 1AD as +1. A) The greeco - Roman era, when Greece and Rome ruled Egypt started in the year 330 BC and ended in the year 395 AD. How long did the era last? B) Bhaskaracharya was born in the year 1114 AD and died in the year 1185 AD.what was his age when he died? C) Turks ruled Egypt in the year 1517 AD and queen nefertis ruled Egypt about 2900 years before the Turks ruled. In what year did she ruled ? 😀😀
Answer» Remembering that 1AD came immediately after 1BC, while solving these problems take 1BC as -1 and 1AD as +1. A) The greeco - Roman era, when Greece and Rome ruled Egypt started in the year 330 BC and ended in the year 395 AD. How long did the era last? B) Bhaskaracharya was born in the year 1114 AD and died in the year 1185 AD.what was his age when he died? C) Turks ruled Egypt in the year 1517 AD and queen nefertis ruled Egypt about 2900 years before the Turks ruled. In what year did she ruled ? 😀😀

6209.

Remembering that 1AD came immediately after 1BC, while solving these problems take 1BC as -1 and 1AD as +1. A) The greeco - Roman era, when Greece and Rome ruled Egypt started in the year 330 BC and ended in the year 395 AD. How long did the era last? B) Bhaskaracharya was born in the year 1114 AD and died in the year 1185 AD.what was his age when he died? C) Turks ruled Egypt in the year 1517 AD and queen nefertis ruled Egypt about 2900 years before the Turks ruled. In what year did she ruled ? 😀😀

Answer»

Remembering that 1AD came immediately after 1BC, while solving these problems take 1BC as -1 and 1AD as +1.

A) The greeco - Roman era, when Greece and Rome ruled Egypt started in the year 330 BC and ended in the year 395 AD. How long did the era last?

B) Bhaskaracharya was born in the year 1114 AD and died in the year 1185 AD.what was his age when he died?

C) Turks ruled Egypt in the year 1517 AD and queen nefertis ruled Egypt about 2900 years before the Turks ruled. In what year did she ruled ?

😀😀

Discussion

6210.	How is '4 fewer than 7' can be written as?
Answer» How is '4 fewer than 7' can be written as?

Discussion

6211.	How many circular faces does a cylinder have?
Answer» How many circular faces does a cylinder have?

Discussion

6212.	The value of the given expression is ___ [[6×{(−6)×(−5)}]÷{28+(−14−5)}] +[{28×(−3)}÷(−2−2)] +[{(−4)×(−4)×6}÷(−4)]]
Answer» The value of the given expression is ___ $[[6 \times {(- 6) \times (- 5)}] \div {28 + (- 14 - 5)}]$ $+ [{28 \times (- 3)} \div (- 2 - 2)]$ $+ [{(- 4) \times (- 4) \times 6} \div (- 4)]]$

Discussion

6213.	What is the density of the material of an utensil whose volume and mass are 10 cm3 and 100 g respectively?
Answer» What is the density of the material of an utensil whose volume and mass are $10 c m^{3}$ and $100 g$ respectively?

Discussion

6214.	Rose went shopping a total of 18 times in her last seven weeks. The details of her shopping is provided in the table below. What is the mode of the data set?
Answer» Rose went shopping a total of $18$ times in her last seven weeks. The details of her shopping is provided in the table below. What is the mode of the data set?

Discussion

6215.	In the given figure, AB \|\| CD. Prove that p +q -r =180.
Answer» In the given figure, AB \|\| CD. Prove that p +q -r =180.

6215.

In the given figure, AB || CD. Prove that p +q -r =180.

Answer»

In the given figure, AB || CD. Prove that p +q -r =180.

Discussion

6216.	Find the least square number, which is exactly divisible by 3, 4, 5, 6 and 8.
Answer» Find the least square number, which is exactly divisible by 3, 4, 5, 6 and 8.

Discussion

6217.	If A and B are disjoint sets, then A−B= and B−A=.
Answer» If $A$ and $B$ are disjoint sets, then $A - B =$ and $B - A =$ .

Discussion

6218.	72.Find range for angle of projection of a ball if the ball is always moving away from the point of projection.
Answer» 72.Find range for angle of projection of a ball if the ball is always moving away from the point of projection.

Discussion

6219.	Geeta and Laxmi won Rs 1050 in a game. They agreed to share the amount in the ratio of 3 : 4. How much does each person receive?
Answer» Geeta and Laxmi won Rs 1050 in a game. They agreed to share the amount in the ratio of 3 : 4. How much does each person receive?

Discussion

6220.	Find the area of the shaded field shown in figure.
Answer» Find the area of the shaded field shown in figure.

Discussion

6221.	Find the sum of the rational numbers−719 and −257.
Answer» Find the sum of the rational numbers $\frac{- 7}{19} a n d \frac{- 2}{57} .$

Discussion

6222.	Question 51 xm+xm=x2m, where x is a non-zero rational number and m is a positive integer.
Answer» Question 51 $x^{m} + x^{m} = x^{2 m},$ where $x$ is a non-zero rational number and $m$ is a positive integer.

6222.

Question 51 xm+xm=x2m, where x is a non-zero rational number and m is a positive integer.

Answer»

Question 51

$x^{m} + x^{m} = x^{2 m},$ where $x$ is a non-zero rational number and $m$ is a positive integer.

Discussion

6223.	The reflection of the point A(2, 5) about X = 0 is (k, m). Find the value of (k + m) is .
Answer» The reflection of the point A(2, 5) about X = 0 is (k, m). Find the value of (k + m) is .

Discussion

6224.	The value of 35×(3524+101) is _____.
Answer» The value of $\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})$ is _____.

Discussion

6225.	Construct a ΔABC with AB=5 cm, ∠A=120o , AC=7cm. Construct a circumcircle of it. Also, measure its circumradius.
Answer» Construct a ΔABC with AB=5 cm, ∠A=120^o , AC=7cm. Construct a circumcircle of it. Also, measure its circumradius.

Discussion

6226.	Question 5In the given figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that∠ROS=12(∠QOS−∠POS).
Answer» Question 5 In the given figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that $∠ R O S = \frac{1}{2} (∠ Q O S - ∠ P O S) .$

Discussion

6227.	Compare the fractions.4567
Answer» Compare the fractions. $\frac{4}{5}$ $\frac{6}{7}$

Discussion

6228.	What is the total area acquired by the houses altogether?
Answer» What is the total area acquired by the houses altogether?

Discussion

6229.	Jackie has 250 laptops in his shop. The first customer to the shop buys 5x number of laptops and the second customer to the shop buys 50 laptops more than what the first customer has bought. The number of laptops now left with Jackie in his shop is _______ .
Answer» Jackie has 250 laptops in his shop. The first customer to the shop buys $5 x$ number of laptops and the second customer to the shop buys 50 laptops more than what the first customer has bought. The number of laptops now left with Jackie in his shop is _______ .

Discussion

6230.	23. The radii of 2 circles is 4:5. Find the ratio of their areas
Answer» 23. The radii of 2 circles is 4:5. Find the ratio of their areas

Discussion

6231.	Fill in the blanks: a : b and c : d are in inverse proportion, then a : b = ...........
Answer» Fill in the blanks: a : b and c : d are in inverse proportion, then a : b = ...........

6231.

Fill in the blanks: a : b and c : d are in inverse proportion, then a : b = ...........

Answer»

Fill in the blanks:

a : b and c : d are in inverse proportion, then a : b = ...........

Discussion

6232.	Let A={1,2,{3,4},5}. Which of the following statements are incorrect and why?(i) {3,4}⊂A (ii){3,4}∈A(iii) {{3,4}}⊂A (iv) 1∈A(v) 1⊂ A (vi) {1,2,5}⊂A(vii) {1,2,5}∈A (viii) {1,2,3}⊂A(ix) ϕ∈A (x) ϕ⊂A(xi) {ϕ}⊂A
Answer» Let $A = {1, 2, {3, 4}, 5}$ . Which of the following statements are incorrect and why? $(i) {3, 4} \subset A (i i) {3, 4} \in A$ $(i i i) {{3, 4}} \subset A (i v) 1 \in A$ $(v) 1 \subset A (v i) {1, 2, 5} \subset A$ $(v i i) {1, 2, 5} \in A (v i i i) {1, 2, 3} \subset A$ $(i x) ϕ \in A (x) ϕ \subset A$ $(x i) {ϕ} \subset A$

Discussion

6233.	The ratio of zinc and copper in an alloy is 7:9. It the weight of the copper in the alloy is 11.7 kg, find the weight of the zinc in the alloy.
Answer» The ratio of zinc and copper in an alloy is $7 : 9$ . It the weight of the copper in the alloy is $11.7$ kg, find the weight of the zinc in the alloy.

Discussion

6234.	Question 09.2 .A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the height of a pole which casts a shadow 5 m long.
Answer» Question 09.2 . A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the height of a pole which casts a shadow 5 m long.

Discussion

6235.	Find the common factors of 2t, 3t2 and 4.
Answer» Find the common factors of $2 t$ , $3 t^{2}$ and $4$ .

Discussion

6236.	In an isosceles triangle PQR, PQ = PR and angle Q measures 40o then the measure of angle P is:
Answer» In an isosceles triangle PQR, PQ = PR and angle Q measures 40^o then the measure of angle P is:

Discussion

6237.	In an equilateral triangle ABC, AD, BE, and CF are the medians. If the length of AB = 10 cm, then the length of CE is _____ cm.5
Answer» In an equilateral triangle ABC, AD, BE, and CF are the medians. If the length of AB = 10 cm, then the length of CE is _____ cm. 5

Discussion

6238.	The mean score of 10 players was found to be 40. Later on, it was discovered that a score of 43 was misread as 63. Then, the correct mean will be
Answer» The mean score of 10 players was found to be 40. Later on, it was discovered that a score of 43 was misread as 63. Then, the correct mean will be

Discussion

6239.	Write the steps to construct a right angle triangle whose perpendicular sides are 12 cm and 16 cm.
Answer» Write the steps to construct a right angle triangle whose perpendicular sides are 12 cm and 16 cm.

Discussion

6240.	A well is dug 20m deep and it has a diameter 7m. The earth which is so dug out is spread evenly on a rectangular plot 22m long and 14m broad. What is the height of a platform formed?
Answer» A well is dug 20m deep and it has a diameter 7m. The earth which is so dug out is spread evenly on a rectangular plot 22m long and 14m broad. What is the height of a platform formed?

Discussion

6241.	The shaded part of the number line in given figure can also be represented as(a) x∈92, ∞(b) x∈92, ∞(c) x∈-∞, 92(d) x∈-∞, 92
Answer» The shaded part of the number line in given figure can also be represented as (a) $x \in (\frac{9}{2}, \infty)$ (b) $x \in [\frac{9}{2}, \infty)$ (c) $x \in [- \infty, \frac{9}{2})$ (d) $x \in (- \infty, \frac{9}{2}]$

Discussion

6242.	(93 + 15) ÷ (3 x 4) - 24 + 8 = ___
Answer» (93 + 15) $\div$ (3 x 4) - 24 + 8 = ___

Discussion

6243.	Observe the angles shown in the figure and write the following pair of angles. (1) Interior alternate angles(2) Corresponding angles(3) Interior angles
Answer» Observe the angles shown in the figure and write the following pair of angles. (1) Interior alternate angles (2) Corresponding angles (3) Interior angles

Discussion

6244.	What will be the population of a country after 5 years at an annual increase of 10%?
Answer» What will be the population of a country after 5 years at an annual increase of 10%?

Discussion

6245.	The orthocenter of the triangle formed by (0, 0), (8, 0) and (4, 6) is
Answer» The orthocenter of the triangle formed by (0, 0), (8, 0) and (4, 6) is

Discussion

6246.	Eddie brought x chocolates worth $ 2 each and y sugar candies worth $ 3 each. She spent a total of $ .
Answer» Eddie brought $x$ chocolates worth $$ 2$ each and $y$ sugar candies worth $$ 3$ each. She spent a total of $$$ .

Discussion

6247.	What is 7/9 - 3/9?
Answer» What is 7/9 - 3/9?

Discussion

6248.	What is the relative speed when a train with a speed of 40 km/hr crosses a car traveling at the speed of 70 km/hr moving in the same direction.
Answer» What is the relative speed when a train with a speed of 40 km/hr crosses a car traveling at the speed of 70 km/hr moving in the same direction.

Discussion

6249.	What is the value of 5.8 + 7.3?
Answer» What is the value of 5.8 + 7.3?

Discussion

6250.	One half of the difference between 9 and 4 is added to three times 8 multiplied with half. Which of the following gives the numerical expression for the above statement?
Answer» One half of the difference between 9 and 4 is added to three times 8 multiplied with half. Which of the following gives the numerical expression for the above statement?

Discussion

Explore topic-wise InterviewSolutions in .

Write the missing number.Generalized form of 517 is:5 x 100 + 10 x ____ + 71

What is the equivalent fraction to 78 ?

Solve the following :In an isosceles triangle, the base angles are equal. The vertex angle is 40∘. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180∘.

Question 3 (i) Find the value of the following expression, when x = -1: 2x - 7

if X=2√3+22√3−2 and Y=2√3−22√3+2 Find X2+Y2−XYX2+Y2+XY

A certain number of books are bought for Rs 600 per dozen and all of them are sold at a profit of 20%. Find the selling price for each book.

8.4 ÷ _____ = 2.1

Question 12In a quadrilateral ABCD, ∠A+∠D=90∘. Prove that AC2+BD2=AD2+BC2.

How is '4 fewer than 7' can be written as?

How many circular faces does a cylinder have?

The value of the given expression is ___ [[6×{(−6)×(−5)}]÷{28+(−14−5)}] +[{28×(−3)}÷(−2−2)] +[{(−4)×(−4)×6}÷(−4)]]

What is the density of the material of an utensil whose volume and mass are 10 cm3 and 100 g respectively?

Rose went shopping a total of 18 times in her last seven weeks. The details of her shopping is provided in the table below. What is the mode of the data set?

In the given figure, AB || CD. Prove that p +q -r =180.

Find the least square number, which is exactly divisible by 3, 4, 5, 6 and 8.

If A and B are disjoint sets, then A−B= and B−A=.

72.Find range for angle of projection of a ball if the ball is always moving away from the point of projection.

Geeta and Laxmi won Rs 1050 in a game. They agreed to share the amount in the ratio of 3 : 4. How much does each person receive?

Find the area of the shaded field shown in figure.

Find the sum of the rational numbers−719 and −257.

Question 51 xm+xm=x2m, where x is a non-zero rational number and m is a positive integer.

The reflection of the point A(2, 5) about X = 0 is (k, m). Find the value of (k + m) is .

The value of 35×(3524+101) is _____.

Construct a ΔABC with AB=5 cm, ∠A=120o , AC=7cm. Construct a circumcircle of it. Also, measure its circumradius.

Question 5In the given figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that∠ROS=12(∠QOS−∠POS).

Compare the fractions.4567

What is the total area acquired by the houses altogether?

Jackie has 250 laptops in his shop. The first customer to the shop buys 5x number of laptops and the second customer to the shop buys 50 laptops more than what the first customer has bought. The number of laptops now left with Jackie in his shop is _______ .

23. The radii of 2 circles is 4:5. Find the ratio of their areas

Fill in the blanks: a : b and c : d are in inverse proportion, then a : b = ...........

Let A={1,2,{3,4},5}. Which of the following statements are incorrect and why?(i) {3,4}⊂A (ii){3,4}∈A(iii) {{3,4}}⊂A (iv) 1∈A(v) 1⊂ A (vi) {1,2,5}⊂A(vii) {1,2,5}∈A (viii) {1,2,3}⊂A(ix) ϕ∈A (x) ϕ⊂A(xi) {ϕ}⊂A

The ratio of zinc and copper in an alloy is 7:9. It the weight of the copper in the alloy is 11.7 kg, find the weight of the zinc in the alloy.

Question 09.2 .A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the height of a pole which casts a shadow 5 m long.

Find the common factors of 2t, 3t2 and 4.

In an isosceles triangle PQR, PQ = PR and angle Q measures 40o then the measure of angle P is:

In an equilateral triangle ABC, AD, BE, and CF are the medians. If the length of AB = 10 cm, then the length of CE is _____ cm.5

The mean score of 10 players was found to be 40. Later on, it was discovered that a score of 43 was misread as 63. Then, the correct mean will be

Write the steps to construct a right angle triangle whose perpendicular sides are 12 cm and 16 cm.

A well is dug 20m deep and it has a diameter 7m. The earth which is so dug out is spread evenly on a rectangular plot 22m long and 14m broad. What is the height of a platform formed?

The shaded part of the number line in given figure can also be represented as(a) x∈92, ∞(b) x∈92, ∞(c) x∈-∞, 92(d) x∈-∞, 92

(93 + 15) ÷ (3 x 4) - 24 + 8 = ___

Observe the angles shown in the figure and write the following pair of angles. (1) Interior alternate angles(2) Corresponding angles(3) Interior angles

What will be the population of a country after 5 years at an annual increase of 10%?

The orthocenter of the triangle formed by (0, 0), (8, 0) and (4, 6) is

Eddie brought x chocolates worth $ 2 each and y sugar candies worth $ 3 each. She spent a total of $ .

What is 7/9 - 3/9?

What is the relative speed when a train with a speed of 40 km/hr crosses a car traveling at the speed of 70 km/hr moving in the same direction.

What is the value of 5.8 + 7.3?

One half of the difference between 9 and 4 is added to three times 8 multiplied with half. Which of the following gives the numerical expression for the above statement?