19743 + Interview Questions in Mathematics Page 93 InterviewSolution

4601.	One of the exterior angles of a triangle is 80∘ and the interior opposite angles are in the ratio of 3:5. Find the angles of the triangle.
Answer» One of the exterior angles of a triangle is $80^{\circ}$ and the interior opposite angles are in the ratio of $3 : 5$ . Find the angles of the triangle.

Discussion

4602.	Question 79(ii) Study the double bar graph shown given below and answer the question that follows: Calculate the ratio of minimum temperatures in the year 2008 to the year 2009 for the month of November.
Answer» Question 79(ii) Study the double bar graph shown given below and answer the question that follows: Calculate the ratio of minimum temperatures in the year 2008 to the year 2009 for the month of November.

Discussion

4603.	In the figure, ACE, BCF and DCH are straight lines and AB \|\| HC. Find the angles p,q,r and s.
Answer» In the figure, ACE, BCF and DCH are straight lines and AB \|\| HC. Find the angles p,q,r and s.

Discussion

4604.	how to know that the triangle is acute obtuse or right angled if value of three sides is given
Answer» how to know that the triangle is acute obtuse or right angled if value of three sides is given

Discussion

4605.	Two numbers are added in which one is 2 more than the other.Then which of the following represents the sum ?
Answer» Two numbers are added in which one is 2 more than the other.Then which of the following represents the sum ?

Discussion

4606.	How to measure the circumference of a drawn circle using a thread
Answer» How to measure the circumference of a drawn circle using a thread

Discussion

4607.	Question 177(iv)Find it(−67)x−7=1
Answer» Question 177(iv) Find it ${(\frac{- 6}{7})}^{x - 7} = 1$

4607.

Question 177(iv)Find it(−67)x−7=1

Answer»

Question 177(iv)

Find it

${(\frac{- 6}{7})}^{x - 7} = 1$

Discussion

4608.	Consider the figure: This is a regular die opened up. What is the value of A?
Answer» Consider the figure: This is a regular die opened up. What is the value of A?

Discussion

4609.	Classify the following into monomial, binomial and trinomials.(1) a2 + a − 2(2) x2 + 2y2(3) 3x2 + 4y + 5z(4) ax2 + bx + c(5) x − 5(6) 8mn3(7) a2 − b(8) (9) 7k + l(10) 12ab
Answer» Classify the following into monomial, binomial and trinomials. (1) a² + a − 2 (2) x² + 2y² (3) 3x² + 4y + 5z (4) ax² + bx + c (5) x − 5 (6) 8mn³ (7) a² − b (8) (9) 7k + l (10) 12ab

4609.

Classify the following into monomial, binomial and trinomials.(1) a2 + a − 2(2) x2 + 2y2(3) 3x2 + 4y + 5z(4) ax2 + bx + c(5) x − 5(6) 8mn3(7) a2 − b(8) (9) 7k + l(10) 12ab

Answer»

Classify the following into monomial, binomial and trinomials.

(1) a² + a − 2

(2) x² + 2y²

(3) 3x² + 4y + 5z

(4) ax² + bx + c

(5) x − 5

(6) 8mn³

(7) a² − b

(8)

(9) 7k + l

(10) 12ab

Discussion

4610.	nta cylinder containing water stands on a table of height h .a small hole is punched in the side of cylinnder at its base .the stream of water strikes thee ground at a horizontal distance r from the able .then the depth of the cylinder isn
Answer» nta cylinder containing water stands on a table of height h .a small hole is punched in the side of cylinnder at its base .the stream of water strikes thee ground at a horizontal distance r from the able .then the depth of the cylinder isn

Discussion

4611.	Which of the below algebraic expression does not contain a constant term?
Answer» Which of the below algebraic expression does not contain a constant term?

Discussion

4612.	If,then is it true that?Justify your answer.
Answer» If, then is it true that? Justify your answer.

Discussion

4613.	Given ABE is a straight line.Find angle y.
Answer» Given ABE is a straight line. Find angle y.

Discussion

4614.	Can root 19 be represtenteb by 4 square and root 3 square
Answer» Can root 19 be represtenteb by 4 square and root 3 square

Discussion

4615.	If the middle term in the expansion of (p2+2)8 is 1120, find p.
Answer» If the middle term in the expansion of ${(\frac{p}{2} + 2)}^{8}$ is 1120, find p.

Discussion

4616.	The area of a rectangular garden is 256 square meters. List all possible whole number dimensions that the garden can have.
Answer» The area of a rectangular garden is 256 square meters. List all possible whole number dimensions that the garden can have.

Discussion

4617.	A man goes 24m due east and then 10m due north . How far is he from his initial position
Answer» A man goes 24m due east and then 10m due north . How far is he from his initial position

Discussion

4618.	Question 58State whether the following statement is True or False.On the basis of the given figure, the length of a rectangle in the net of a cylinder is same as the circumference of circles in its net.
Answer» Question 58 State whether the following statement is True or False. On the basis of the given figure, the length of a rectangle in the net of a cylinder is same as the circumference of circles in its net.

Discussion

4619.	Question 1(m)State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expresssion.z+12 > 24
Answer» Question 1(m) State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expresssion. z+12 > 24

4619.

Question 1(m)State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expresssion.z+12 > 24

Answer»

Question 1(m)

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

z+12 > 24

Discussion

4620.	In the figure, k \|\| i and l is the transversal. If ∠1=(2x+30)° and ∠7=150°, then find the value of x. 60
Answer» In the figure, k \|\| i and l is the transversal. If $∠ 1 = (2 x + 30) °$ and $∠ 7 = 150 °$ , then find the value of x. 60

Discussion

4621.	How to find rational number between two fraction
Answer» How to find rational number between two fraction

Discussion

4622.	The stop signal is placed 139 miles beforethe warning sign board which is placed at the position '0'. Which is the correct position of the stop signal?
Answer» $The stop signal is placed \frac{13}{9} miles before$ the warning sign board which is placed at the position '0'. Which is the correct position of the stop signal?

Discussion

4623.	In a cricket match, the bowler bowls at an average speed of 144 km/hr. The ball travels a distance of 12 m before bouncing. After bouncing, it travels 5 m more with same speed before reaching the batsman. Find the time taken by the ball to reach the batsman after being released from the bowler’s hand.
Answer» In a cricket match, the bowler bowls at an average speed of 144 km/hr. The ball travels a distance of 12 m before bouncing. After bouncing, it travels 5 m more with same speed before reaching the batsman. Find the time taken by the ball to reach the batsman after being released from the bowler’s hand.

Discussion

4624.	A flower garden at a zoo is planted in the shape of a parallelogram. The base is 25 yards long and the height is 12 yards. What is the area of the garden?
Answer» A flower garden at a zoo is planted in the shape of a parallelogram. The base is $25$ yards long and the height is $12$ yards. What is the area of the garden?

Discussion

4625.	List all the elements of the following sets:(i) A={x:x is an odd natural number}(ii) B={x:x is an integer,−12<x<92}(iii) C={x:x is an integer,x2≤4}(iv) D={x:x is a letter in the word"LOYAL′′}(v) E={x:x is a month of a year not having 31 days}(vi) F={x:x is a consonant in the English alphabet which preceeds k}
Answer» List all the elements of the following sets: $(i)$ $A = {x : x is an odd natural number}$ $(i i)$ $B = {x : x is an integer, - \frac{1}{2} < x < \frac{9}{2}}$ $(i i i)$ $C = {x : x is an integer, x^{2} \leq 4}$ $(i v)$ $D = {x : x is a letter in the word " L O Y A L^{''}}$ $(v)$ $E = {x : x is a month of a year not having 31 days}$ $(v i)$ $F = {x : x is a consonant in the English alphabet which preceeds k}$

Discussion

4626.	Simplify these expressions and find their values if x = 3, a = − 1, b = − 2. (i) 3x − 5 − x + 9 (ii) 2 − 8x + 4x + 4 (iii) 3a + 5 − 8a + 1 (iv) 10 − 3b − 4 − 5b (v) 2a − 2b − 4 − 5 + a
Answer» Simplify these expressions and find their values if x = 3, a = − 1, b = − 2. (i) 3x − 5 − x + 9 (ii) 2 − 8x + 4x + 4 (iii) 3a + 5 − 8a + 1 (iv) 10 − 3b − 4 − 5b (v) 2a − 2b − 4 − 5 + a

4626.

Simplify these expressions and find their values if x = 3, a = − 1, b = − 2. (i) 3x − 5 − x + 9 (ii) 2 − 8x + 4x + 4 (iii) 3a + 5 − 8a + 1 (iv) 10 − 3b − 4 − 5b (v) 2a − 2b − 4 − 5 + a

Answer»

Simplify
these expressions and find their values if x = 3, a = −
1, b = − 2.

(i) 3x
− 5 − x + 9 (ii) 2 − 8x + 4x
+ 4

(iii) 3a
+ 5 − 8a + 1 (iv) 10 − 3b − 4 −
5b

(v) 2a
− 2b − 4 − 5 + a

Discussion

4627.	Simplify (a2b3)×(ab2c4)3(abc2)3 and express it in exponential form.
Answer» Simplify $\frac{(a^{2} b^{3}) \times ({ab}^{2} c^{4})^{3}}{({abc}^{2})^{3}}$ and express it in exponential form.

Discussion

4628.	The value of 3−2 is _______.
Answer» The value of $3^{- 2}$ is _______.

Discussion

4629.	A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below Outcome123456Frequency170155160150180185 Find the probability of getting (i) a factor of 6 (ii) an odd number [2 MARKS]
Answer» A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below $\begin{matrix} O u t c o m e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 170 & 155 & 160 & 150 & 180 & 185 \end{matrix}$ Find the probability of getting (i) a factor of 6 (ii) an odd number [2 MARKS]

4629.

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below Outcome123456Frequency170155160150180185 Find the probability of getting (i) a factor of 6 (ii) an odd number [2 MARKS]

Answer»

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below

$\begin{matrix} O u t c o m e & 1 & 2 & 3 & 4 & 5 & 6 F r e q u e n c y & 170 & 155 & 160 & 150 & 180 & 185 \end{matrix}$

Find the probability of getting (i) a factor of 6
(ii) an odd number [2 MARKS]

Discussion

4630.	Find the value of x.
Answer» Find the value of x.

Discussion

4631.	If Meena gives an interest of Rs 45 for one year at 9% rate p.a, what is the sum she has borrowed?
Answer» If Meena gives an interest of Rs 45 for one year at $9 %$ rate p.a, what is the sum she has borrowed?

Discussion

4632.	Name the solid that would be formed by each net:
Answer» Name the solid that would be formed by each net:

Discussion

4633.	2+310+4100=?(a) 2.304(b) 0.403(c) 2.34(d) 2.43
Answer» $2 + \frac{3}{10} + \frac{4}{100} = ?$ (a) 2.304 (b) 0.403 (c) 2.34 (d) 2.43

Discussion

4634.	The shortest distance between the lines →r=3→i+5→j+7→k+λ(→i+2→j+→k) and →r=−→i−→j−→k+μ(7→i−6→j+→k) is
Answer» The shortest distance between the lines $\to r = 3 \to i + 5 \to j + 7 \to k + λ (\to i + 2 \to j + \to k) a n d \to r = - \to i - \to j - \to k + μ (7 \to i - 6 \to j + \to k) i s$

Discussion

4635.	The mean of the three numbers is 10. The mean of the other four numbers is 12. Find the mean of all the numbers.
Answer» The mean of the three numbers is $10.$ The mean of the other four numbers is $12.$ Find the mean of all the numbers.

Discussion

4636.	Question 26 Fill in the blanks to make the statement true. If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ___.
Answer» Question 26 Fill in the blanks to make the statement true. If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ___.

Discussion

4637.	The length and breadth of a rectangular paper are 35 cm and 22 cm . Find the area of the largest circle that can be cut out of the paper. (Take value of pi as 3.14)
Answer» The length and breadth of a rectangular paper are 35 cm and 22 cm . Find the area of the largest circle that can be cut out of the paper. (Take value of pi as 3.14)

Discussion

4638.	The rational number between 16 and 14 is
Answer» The rational number between $\frac{1}{6}$ and $\frac{1}{4}$ is

Discussion

4639.	The temperature at 12 noon was 10°c above zero. If it decreases at the rate of 2°C per hour until midnight , at what time would the temperature be 8°C below zero? What would be the temperature at midnight?
Answer» The temperature at 12 noon was 10°c above zero. If it decreases at the rate of 2°C per hour until midnight , at what time would the temperature be 8°C below zero? What would be the temperature at midnight?

Discussion

4640.	The temperature of a town is -2o Celsius at 4:00 A.M in the morning. As the day progresses, the temperature increases at an average rate of 2o Celsius every 4 hours. What is the temperature at 4:00 P.M.?
Answer» The temperature of a town is -2^o Celsius at 4:00 A.M in the morning. As the day progresses, the temperature increases at an average rate of 2^o Celsius every 4 hours. What is the temperature at 4:00 P.M.?

Discussion

4641.	If the probability of getting 5 on a fair dice is 16, then what would be the value of sum of Probability of getting 5 and Probability of not getting 5?
Answer» If the probability of getting $5$ on a fair dice is $\frac{1}{6}$ , then what would be the value of sum of Probability of getting $5$ and Probability of not getting $5$ ?

Discussion

4642.	This shape is formed by using 6 three-dimensional regular objects. Each of these individual objects is a ___ .
Answer» This shape is formed by using 6 three-dimensional regular objects. Each of these individual objects is a ___ .

Discussion

4643.	A man is running up an inclined plane (making an angle 0 with thehorizontal) with a speed u. Rain drops falling at an angle a with the vertical appear to the man as if they are falling at an angle of 45with the horizontal. The speed of the rain drops is
Answer» A man is running up an inclined plane (making an angle 0 with thehorizontal) with a speed u. Rain drops falling at an angle a with the vertical appear to the man as if they are falling at an angle of 45with the horizontal. The speed of the rain drops is

Discussion

4644.	What is the final weight obtained on adding 2 weights of 12 kg 750g and 25 kg 500 g
Answer» What is the final weight obtained on adding 2 weights of 12 kg 750g and 25 kg 500 g

Discussion

4645.	Question 87(vi)The students of class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class study the table and answer the question that follows:For Which club is the difference between boys and girls the maximum?
Answer» Question 87(vi) The students of class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class study the table and answer the question that follows: For Which club is the difference between boys and girls the maximum?

Discussion

4646.	If A={a,b,c,d} and B={c,d,e,f}, then select the "wrong" statement.
Answer» If $A = {a, b, c, d} and B = {c, d, e, f},$ then select the "wrong" statement.

Discussion

4647.	If Show that A − A′ is a skew symmetric matrix
Answer» If Show that A − A′ is a skew symmetric matrix

Discussion

4648.	A shopkeeper purchased 15 chocolates for ₹97.50. The cost price per piece of chocolate is ______.
Answer» A shopkeeper purchased 15 chocolates for ₹97.50. The cost price per piece of chocolate is ______.

Discussion

4649.	Write the rule of congruence in the following pairs of congruent triangles.
Answer» Write the rule of congruence in the following pairs of congruent triangles.

Discussion

4650.	Let an represent the number of bit strings o length n containing two consecutive 1s. Whats the recurrence ralation for an ?
Answer» Let $a_{n}$ represent the number of bit strings o length n containing two consecutive 1s. Whats the recurrence ralation for $a_{n}$ ?

Discussion

Explore topic-wise InterviewSolutions in .

One of the exterior angles of a triangle is 80∘ and the interior opposite angles are in the ratio of 3:5. Find the angles of the triangle.

Question 79(ii) Study the double bar graph shown given below and answer the question that follows: Calculate the ratio of minimum temperatures in the year 2008 to the year 2009 for the month of November.

In the figure, ACE, BCF and DCH are straight lines and AB || HC. Find the angles p,q,r and s.

how to know that the triangle is acute obtuse or right angled if value of three sides is given

Two numbers are added in which one is 2 more than the other.Then which of the following represents the sum ?

How to measure the circumference of a drawn circle using a thread

Question 177(iv)Find it(−67)x−7=1

Consider the figure: This is a regular die opened up. What is the value of A?

Classify the following into monomial, binomial and trinomials.(1) a2 + a − 2(2) x2 + 2y2(3) 3x2 + 4y + 5z(4) ax2 + bx + c(5) x − 5(6) 8mn3(7) a2 − b(8) (9) 7k + l(10) 12ab

nta cylinder containing water stands on a table of height h .a small hole is punched in the side of cylinnder at its base .the stream of water strikes thee ground at a horizontal distance r from the able .then the depth of the cylinder isn

Which of the below algebraic expression does not contain a constant term?

If,then is it true that?Justify your answer.

Given ABE is a straight line.Find angle y.

Can root 19 be represtenteb by 4 square and root 3 square

If the middle term in the expansion of (p2+2)8 is 1120, find p.

The area of a rectangular garden is 256 square meters. List all possible whole number dimensions that the garden can have.

A man goes 24m due east and then 10m due north . How far is he from his initial position

Question 58State whether the following statement is True or False.On the basis of the given figure, the length of a rectangle in the net of a cylinder is same as the circumference of circles in its net.

Question 1(m)State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expresssion.z+12 &gt; 24

In the figure, k || i and l is the transversal. If ∠1=(2x+30)° and ∠7=150°, then find the value of x. 60

How to find rational number between two fraction

The stop signal is placed 139 miles beforethe warning sign board which is placed at the position '0'. Which is the correct position of the stop signal?

A flower garden at a zoo is planted in the shape of a parallelogram. The base is 25 yards long and the height is 12 yards. What is the area of the garden?

Simplify these expressions and find their values if x = 3, a = − 1, b = − 2. (i) 3x − 5 − x + 9 (ii) 2 − 8x + 4x + 4 (iii) 3a + 5 − 8a + 1 (iv) 10 − 3b − 4 − 5b (v) 2a − 2b − 4 − 5 + a

Simplify (a2b3)×(ab2c4)3(abc2)3 and express it in exponential form.

The value of 3−2 is _______.

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below Outcome123456Frequency170155160150180185 Find the probability of getting (i) a factor of 6 (ii) an odd number [2 MARKS]

Find the value of x.

If Meena gives an interest of Rs 45 for one year at 9% rate p.a, what is the sum she has borrowed?

Name the solid that would be formed by each net:

2+310+4100=?(a) 2.304(b) 0.403(c) 2.34(d) 2.43

The shortest distance between the lines →r=3→i+5→j+7→k+λ(→i+2→j+→k) and →r=−→i−→j−→k+μ(7→i−6→j+→k) is

The mean of the three numbers is 10. The mean of the other four numbers is 12. Find the mean of all the numbers.

Question 26 Fill in the blanks to make the statement true. If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ___.

The length and breadth of a rectangular paper are 35 cm and 22 cm . Find the area of the largest circle that can be cut out of the paper. (Take value of pi as 3.14)

The rational number between 16 and 14 is

The temperature at 12 noon was 10°c above zero. If it decreases at the rate of 2°C per hour until midnight , at what time would the temperature be 8°C below zero? What would be the temperature at midnight?

The temperature of a town is -2o Celsius at 4:00 A.M in the morning. As the day progresses, the temperature increases at an average rate of 2o Celsius every 4 hours. What is the temperature at 4:00 P.M.?

If the probability of getting 5 on a fair dice is 16, then what would be the value of sum of Probability of getting 5 and Probability of not getting 5?

This shape is formed by using 6 three-dimensional regular objects. Each of these individual objects is a ___ .

A man is running up an inclined plane (making an angle 0 with thehorizontal) with a speed u. Rain drops falling at an angle a with the vertical appear to the man as if they are falling at an angle of 45with the horizontal. The speed of the rain drops is

What is the final weight obtained on adding 2 weights of 12 kg 750g and 25 kg 500 g

If A={a,b,c,d} and B={c,d,e,f}, then select the "wrong" statement.

If Show that A − A′ is a skew symmetric matrix

A shopkeeper purchased 15 chocolates for ₹97.50. The cost price per piece of chocolate is ______.

Write the rule of congruence in the following pairs of congruent triangles.

Let an represent the number of bit strings o length n containing two consecutive 1s. Whats the recurrence ralation for an ?

Question 1(m)State whether the given expression is an equation or not.Give reason for your answer. Identify the variable in the given expresssion.z+12 > 24