19743 + Interview Questions in Mathematics Page 78 InterviewSolution

3851.	Find the square root of 531.7636
Answer» Find the square root of 531.7636

Discussion

3852.	61.A round Ball of radius r subtends an angle x at the eye of the observer . While the angle of elevation of its centre is y . Find the height of the centre of the ball. In terms of cosec and sin
Answer» 61.A round Ball of radius r subtends an angle x at the eye of the observer . While the angle of elevation of its centre is y . Find the height of the centre of the ball. In terms of cosec and sin

Discussion

3853.	Check whether the following are bionomials or not:(a) 3xy2+5y−x2y(b) x2y−5y−x2y(c) xy+yz+zx(d) 3xy2+5y−xy2
Answer» Check whether the following are bionomials or not: $(a) 3 x y^{2} + 5 y - x^{2} y (b) x^{2} y - 5 y - x^{2} y$ $(c) x y + y z + z x$ $(d) 3 x y^{2} + 5 y - x y^{2}$

3853.

Check whether the following are bionomials or not:(a) 3xy2+5y−x2y(b) x2y−5y−x2y(c) xy+yz+zx(d) 3xy2+5y−xy2

Answer»

Check whether the following are bionomials or not:

$(a) 3 x y^{2} + 5 y - x^{2} y (b) x^{2} y - 5 y - x^{2} y$

$(c) x y + y z + z x$

$(d) 3 x y^{2} + 5 y - x y^{2}$

Discussion

3854.	Express 715 into its decimal form using long division.
Answer» Express $7 \frac{1}{5}$ into its decimal form using long division.

Discussion

3855.	Write each of the following as an equation in two variables:(i) 2x = -3 (ii) y = 3 (iii) 5x=72 (iv) y=32x
Answer» Write each of the following as an equation in two variables: (i) 2x = -3 (ii) y = 3 (iii) $5 x = \frac{7}{2}$ (iv) $y = \frac{3}{2} x$

Discussion

3856.	Identify which of the following sets are in proportion.
Answer» Identify which of the following sets are in proportion.

3856.

Identify which of the following sets are in proportion.

Answer»

Identify which of the following sets are in proportion.

Discussion

3857.	If 2=1.41 then 12=?(a) 0.075(b) 0.75(c) 0.705(d) 7.05
Answer» If $\sqrt{2} = 1.41 then \frac{1}{\sqrt{2}} = ?$ (a) 0.075 (b) 0.75 (c) 0.705 (d) 7.05

Discussion

3858.	Find the missing values in the place value expansion of 713.317 given below:7×a+1×10+3×b+3×c+1100+7×d
Answer» Find the missing values in the place value expansion of 713.317 given below: $7 \times a + 1 \times 10 + 3 \times b + 3 \times c + \frac{1}{100} + 7 \times d$

3858.

Find the missing values in the place value expansion of 713.317 given below:7×a+1×10+3×b+3×c+1100+7×d

Answer»

Find the missing values in the place value expansion of 713.317 given below:

$7 \times a + 1 \times 10 + 3 \times b + 3 \times c + \frac{1}{100} + 7 \times d$

Discussion

3859.	The equation of pair of straight lines joining the point of intersection of the curve x2+y2=4 and y - x = 2 to the origin, is
Answer» The equation of pair of straight lines joining the point of intersection of the curve $x^{2} + y^{2} = 4$ and y - x = 2 to the origin, is

Discussion

3860.	What do we get when we convert the statement : "3 added to 2 times x is 10" to an algebraic equation?
Answer» What do we get when we convert the statement : "3 added to 2 times x is 10" to an algebraic equation?

Discussion

3861.

Heights (cm) of various herbs in a garden are depicted in the following plot: Stem Leaf 0 1 2 8,9,7,7 0,5,0 1,5,0 Key:1|6 means 16The mean height of the herbs is cm.

Answer» Heights (cm) of various herbs in a garden are depicted in the following plot:

Stem
Leaf

$0$ $1$ $2$	$8, 9, 7, 7$ $0, 5, 0$ $1, 5, 0$

Key : 1 | 6 means 16

The mean height of the herbs is cm.

Discussion

3862.	How many families have more than 1 children ?
Answer» How many families have more than $1$ children $?$

Discussion

3863.	Pavan gave a number, 98429758, to Akash and asked him to find the difference between the numbers 2 and 7 in it based on their place value. What would this difference be ___.
Answer» Pavan gave a number, 98429758, to Akash and asked him to find the difference between the numbers 2 and 7 in it based on their place value. What would this difference be ___.

Discussion

3864.	Question 55State whether the following statement is true or false:The square of 2.8 is 78.4.
Answer» Question 55 State whether the following statement is true or false: The square of 2.8 is 78.4.

3864.

Question 55State whether the following statement is true or false:The square of 2.8 is 78.4.

Answer»

Question 55

State whether the following statement is true or false:

The square of 2.8 is 78.4.

Discussion

3865.	P and Q are points on opposite sides AD and BC of a parallelogram ABCD, such that PQ passes through the point of intersection O if it's diagonals AC and BD. Show that PQ is bisected at O.
Answer» P and Q are points on opposite sides AD and BC of a parallelogram ABCD, such that PQ passes through the point of intersection O if it's diagonals AC and BD. Show that PQ is bisected at O.

Discussion

3866.	State atleast two differences between line and line segment? [2 MARKS]
Answer» State atleast two differences between line and line segment? [2 MARKS]

Discussion

3867.	21. F(x) = x+ square root of x2 is a function fromR-->R then f(x) is A injective function B surjective C bijective D none of these
Answer» 21. F(x) = x+ square root of x2 is a function fromR-->R then f(x) is A injective function B surjective C bijective D none of these

Discussion

3868.	11. If the bisector of the vertical angle of a triangle bisects the base of the triangle then prove that the triangle is isoceles.
Answer» 11. If the bisector of the vertical angle of a triangle bisects the base of the triangle then prove that the triangle is isoceles.

Discussion

3869.	See the double bar graph and answer the question that follows. Total number of boys and girls participated in Canoeing?
Answer» See the double bar graph and answer the question that follows. Total number of boys and girls participated in Canoeing?

3869.

See the double bar graph and answer the question that follows. Total number of boys and girls participated in Canoeing?

Answer»

See the double bar graph and answer the question that follows.

Total number of boys and girls participated in Canoeing?

Discussion

3870.	If a = 3 and b = 4 then, a x (b x a) - a x (b + a) =15
Answer» If a = 3 and b = 4 then, a x (b x a) - a x (b + a) = 15

Discussion

3871.	65. The number of distinct 6 digit number between 1 and300000 which are divisible by 4 and obtained byrearranging the digits of 11 22 33 is\vert(1) 12(2) 15(3) 18(4) 9066. A studfo
Answer» 65. The number of distinct 6 digit number between 1 and300000 which are divisible by 4 and obtained byrearranging the digits of 11 22 33 is\vert(1) 12(2) 15(3) 18(4) 9066. A studfo

Discussion

3872.	(1.02)2–(0.98)2=
Answer» $(1.02)^{2} - (0.98)^{2} =$

Discussion

3873.	When a clock is showing time as 12:00, the angle included between the hour and the minute hand is a _______.
Answer» When a clock is showing time as 12:00, the angle included between the hour and the minute hand is a _______.

Discussion

3874.	What is the amount obtained by depositing 12,500 at 8% simple interest per annum for 5 years?17500
Answer» What is the amount obtained by depositing 12,500 at 8% simple interest per annum for 5 years? 17500

Discussion

3875.	If in a triangle ABC, AB>BC>AC which angle is largest angle?
Answer» If in a triangle ABC, AB>BC>AC which angle is largest angle?

Discussion

3876.	Combined fraction of toys borrowed by Ben on Monday and Tuesday is .
Answer» Combined fraction of toys borrowed by Ben on Monday and Tuesday is .

Discussion

3877.	Write the following numbers using positive indices.(i) 27−2 (ii) 113−5 (iii) 16−3 (iv) y−4
Answer» Write the following numbers using positive indices. (i) $27^{- 2}$ (ii) $\frac{1}{13^{- 5}}$ (iii) $16^{- 3}$ (iv) $y^{- 4}$

Discussion

3878.	In a class, 15 th of students like yellow color and 25 th like orange color and the rest like blue color. What fraction of students like blue color?
Answer» In a class, $\frac{1}{5}$ th of students like yellow color and $\frac{2}{5}$ th like orange color and the rest like blue color. What fraction of students like blue color?

Discussion

3879.	The reflection point of A (2, 5) in the y-axis is (k, m). Find the value of (k + m).
Answer» The reflection point of A (2, 5) in the y-axis is (k, m). Find the value of (k + m).

Discussion

3880.	In the given figure, which pair of angles are not supplementary?
Answer» In the given figure, which pair of angles are not supplementary?

3880.

In the given figure, which pair of angles are not supplementary?

Answer»

In the given figure, which pair of angles are not supplementary?

Discussion

3881.	Evaluate the expression - 25 × 75 + 25 × 35. 2750
Answer» Evaluate the expression - 25 $\times$ 75 + 25 $\times$ 35. 2750

Discussion

3882.	17. Anil borrowed a certain sum from Sunil for 2 years at simple interest.Anil lent this sum to Mohit at the same rate for 2 years at compound interest.At the end of 2 years Anil recieved rupees 110 as compound interest but paid rupees 100 as simple interest.find the sum and rate of interest.
Answer» 17. Anil borrowed a certain sum from Sunil for 2 years at simple interest.Anil lent this sum to Mohit at the same rate for 2 years at compound interest.At the end of 2 years Anil recieved rupees 110 as compound interest but paid rupees 100 as simple interest.find the sum and rate of interest.

Discussion

3883.	There are 20 teachers for 300 students in a school, then the ratio of the number of students to the number of teachers is
Answer» There are $20$ teachers for $300$ students in a school, then the ratio of the number of students to the number of teachers is

Discussion

3884.	Question 1(g)State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression.2m < 30
Answer» Question 1(g) State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression. 2m < 30

3884.

Question 1(g)State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression.2m < 30

Answer»

Question 1(g)

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

2m < 30

Discussion

3885.	25×(-20)+(-45)×20 Please use the property and show steps
Answer» 25×(-20)+(-45)×20 Please use the property and show steps

3885.

25×(-20)+(-45)×20 Please use the property and show steps

Answer»

25×(-20)+(-45)×20

Please use the property and show steps

Discussion

3886.	Find the order of magnitude of 0.0008 m
Answer» Find the order of magnitude of 0.0008 m

Discussion

3887.	Question 32 Fill in the blank to make the statement true 1lakh = __
Answer» Question 32 Fill in the blank to make the statement true 1lakh = __

3887.

Question 32 Fill in the blank to make the statement true 1lakh = __

Answer»

Question 32

Fill in the blank to make the statement true
1lakh = __

Discussion

3888.	Write the coefficient of x2 in each of the following:(i) π6x+x2−1(ii) 3x−5
Answer» Write the coefficient of $x^{2}$ in each of the following: (i) $\frac{π}{6} x + x^{2} - 1$ (ii) $3 x - 5$

Discussion

3889.

In a Volleyball Challenger Cup, the following data points show the number of points scored by each player on a team. 6 5 8 4 8 11 5 14 9What is the median of the number of the points scored?

Answer»

In a Volleyball Challenger Cup, the following data points show the number of points scored by each player on a team.

$6$

$5$

$8$

$4$

$8$

$11$

$5$

$14$

$9$

What is the median of the number of the points scored?

Discussion

3890.	3.8 × 6.7 =
Answer» 3.8 $\times$ 6.7 =

Discussion

3891.	A triangle ABC with AB = 4 cm and ∠A= 60∘and ∠B= 40∘ is constructed. Then what is the measurement of ∠C?
Answer» A triangle ABC with AB = 4 cm and ∠A= $60^{\circ}$ and ∠B= $40^{\circ}$ is constructed. Then what is the measurement of ∠C?

Discussion

3892.	Find multiplicative inverse of a) 6 B) - 4
Answer» Find multiplicative inverse of a) 6 B) - 4

3892.

Find multiplicative inverse of a) 6 B) - 4

Answer»

Find multiplicative inverse of a) 6

B) - 4

Discussion

3893.	if m1*m2 =-1 < then why lines are perpendicular?
Answer» if m1*m2 =-1 < then why lines are perpendicular?

Discussion

3894.	The set-builder form of the set A={12,14,18,116,132,164} is ___.
Answer» The set-builder form of the set $A = {\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16}, \frac{1}{32}, \frac{1}{64}}$ is ___.

Discussion

3895.	Question 46If 1 P× P_____Q 6_____where Q - P = 3, then find the values of P and Q .
Answer» Question 46 If $1 P \times P_____Q 6_____$ where Q - P = 3, then find the values of P and Q .

3895.

Question 46If 1 P× P_Q 6_where Q - P = 3, then find the values of P and Q .

Answer»

Question 46

If $1 P \times P_____Q 6_____$

where Q - P = 3, then find the values of P and Q .

Discussion

3896.	Find the number from each of the following expanded forms:(i) 7×104+6×103+0×02+4×101+5×100(ii) 5×105+4×104+2×103+3×100
Answer» Find the number from each of the following expanded forms: (i) $7 \times 10^{4} + 6 \times 10^{3} + 0 \times 0^{2} + 4 \times 10^{1} + 5 \times 10^{0}$ (ii) $5 \times 10^{5} + 4 \times 10^{4} + 2 \times 10^{3} + 3 \times 10^{0}$

Discussion

3897.	The value of a variable is not _______.
Answer» The value of a variable is not _______.

Discussion

3898.	Given that N = {1, 2, 3, …, 100}, then(i) Write the subset A of N, whose elements are odd numbers.(ii) Write the subset B of N, whose elements are represented by x + 2, where x ∈ N.
Answer» Given that N = {1, 2, 3, …, 100}, then (i) Write the subset A of N, whose elements are odd numbers. (ii) Write the subset B of N, whose elements are represented by x + 2, where x ∈ N.

Discussion

3899.	In a class test (+3) marks are given for every correct answer and (−2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly?(ii) Mohini scores −5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?(iii) Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?
Answer» In a class test $(+ 3)$ marks are given for every correct answer and $(- 2)$ marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored $20$ marks. If she has got $12$ correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores $- 5$ marks in this test, though she has got $7$ correct answers. How many questions has she attempted incorrectly? (iii) Rakesh scores $18$ marks by attempting $16$ questions. How many questions has he attempted correctly and how many has he attempted incorrectly?

Discussion

3900.	If the function f(x)=2x2+3x+5 satisfies Lagrange's mean value theorem at x=2 on the closed interval [1,a], then the value of a is equal to
Answer» If the function $f (x) = 2 x^{2} + 3 x + 5$ satisfies Lagrange's mean value theorem at $x = 2$ on the closed interval $[1, a],$ then the value of $a$ is equal to

Discussion

Explore topic-wise InterviewSolutions in .

Find the square root of 531.7636

61.A round Ball of radius r subtends an angle x at the eye of the observer . While the angle of elevation of its centre is y . Find the height of the centre of the ball. In terms of cosec and sin

Check whether the following are bionomials or not:(a) 3xy2+5y−x2y(b) x2y−5y−x2y(c) xy+yz+zx(d) 3xy2+5y−xy2

Express 715 into its decimal form using long division.

Write each of the following as an equation in two variables:(i) 2x = -3 (ii) y = 3 (iii) 5x=72 (iv) y=32x

Identify which of the following sets are in proportion.

If 2=1.41 then 12=?(a) 0.075(b) 0.75(c) 0.705(d) 7.05

Find the missing values in the place value expansion of 713.317 given below:7×a+1×10+3×b+3×c+1100+7×d

The equation of pair of straight lines joining the point of intersection of the curve x2+y2=4 and y - x = 2 to the origin, is

What do we get when we convert the statement : "3 added to 2 times x is 10" to an algebraic equation?

Heights (cm) of various herbs in a garden are depicted in the following plot: Stem Leaf 0 1 2 8,9,7,7 0,5,0 1,5,0 Key:1|6 means 16The mean height of the herbs is cm.

How many families have more than 1 children ?

Pavan gave a number, 98429758, to Akash and asked him to find the difference between the numbers 2 and 7 in it based on their place value. What would this difference be ___.

Question 55State whether the following statement is true or false:The square of 2.8 is 78.4.

P and Q are points on opposite sides AD and BC of a parallelogram ABCD, such that PQ passes through the point of intersection O if it's diagonals AC and BD. Show that PQ is bisected at O.

State atleast two differences between line and line segment? [2 MARKS]

21. F(x) = x+ square root of x2 is a function fromR-->R then f(x) is A injective function B surjective C bijective D none of these

11. If the bisector of the vertical angle of a triangle bisects the base of the triangle then prove that the triangle is isoceles.

See the double bar graph and answer the question that follows. Total number of boys and girls participated in Canoeing?

If a = 3 and b = 4 then, a x (b x a) - a x (b + a) =15

65. The number of distinct 6 digit number between 1 and300000 which are divisible by 4 and obtained byrearranging the digits of 11 22 33 is\vert(1) 12(2) 15(3) 18(4) 9066. A studfo

(1.02)2–(0.98)2=

When a clock is showing time as 12:00, the angle included between the hour and the minute hand is a _______.

What is the amount obtained by depositing 12,500 at 8% simple interest per annum for 5 years?17500

If in a triangle ABC, AB>BC>AC which angle is largest angle?

Combined fraction of toys borrowed by Ben on Monday and Tuesday is .

Write the following numbers using positive indices.(i) 27−2 (ii) 113−5 (iii) 16−3 (iv) y−4

In a class, 15 th of students like yellow color and 25 th like orange color and the rest like blue color. What fraction of students like blue color?

The reflection point of A (2, 5) in the y-axis is (k, m). Find the value of (k + m).

In the given figure, which pair of angles are not supplementary?

Evaluate the expression - 25 × 75 + 25 × 35. 2750

17. Anil borrowed a certain sum from Sunil for 2 years at simple interest.Anil lent this sum to Mohit at the same rate for 2 years at compound interest.At the end of 2 years Anil recieved rupees 110 as compound interest but paid rupees 100 as simple interest.find the sum and rate of interest.

There are 20 teachers for 300 students in a school, then the ratio of the number of students to the number of teachers is

Question 1(g)State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression.2m &lt; 30

25×(-20)+(-45)×20 Please use the property and show steps

Find the order of magnitude of 0.0008 m

Question 32 Fill in the blank to make the statement true 1lakh = __

Write the coefficient of x2 in each of the following:(i) π6x+x2−1(ii) 3x−5

In a Volleyball Challenger Cup, the following data points show the number of points scored by each player on a team. 6 5 8 4 8 11 5 14 9What is the median of the number of the points scored?

3.8 × 6.7 =

A triangle ABC with AB = 4 cm and ∠A= 60∘and ∠B= 40∘ is constructed. Then what is the measurement of ∠C?

Find multiplicative inverse of a) 6 B) - 4

if m1*m2 =-1 < then why lines are perpendicular?

The set-builder form of the set A={12,14,18,116,132,164} is ___.

Question 46If 1 P× P_____Q 6_____where Q - P = 3, then find the values of P and Q .

Find the number from each of the following expanded forms:(i) 7×104+6×103+0×02+4×101+5×100(ii) 5×105+4×104+2×103+3×100

The value of a variable is not _______.

Given that N = {1, 2, 3, …, 100}, then(i) Write the subset A of N, whose elements are odd numbers.(ii) Write the subset B of N, whose elements are represented by x + 2, where x ∈ N.

If the function f(x)=2x2+3x+5 satisfies Lagrange's mean value theorem at x=2 on the closed interval [1,a], then the value of a is equal to

Question 1(g)State whether the given expression is an equation or not.Give reason for your answer.Identify the variable in the given expression.2m < 30

Question 46If 1 P× P_Q 6_where Q - P = 3, then find the values of P and Q .