19743 + Interview Questions in Mathematics Page 117 InterviewSolution

5801.	39. what is the distance between two octahedral voids in a ccp lattice??
Answer» 39. what is the distance between two octahedral voids in a ccp lattice??

Discussion

5802.	श्रीकृष्णअपनीचोटीकेविषयमेंक्या-क्यासोचरहेथे?
Answer» श्रीकृष्ण अपनी चोटी के विषय में क्या-क्या सोच रहे थे?

Discussion

5803.	8x = 26 , find the value of x?
Answer» $8^{x}$ = $2^{6}$ , find the value of x?

Discussion

5804.	The sum off all the exterior angles of a triangle is equal to .
Answer» The sum off all the exterior angles of a triangle is equal to .

Discussion

5805.	The scores in mathematics test (out of 25) of students is as follows:19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20Find the mode and median of this data. Are they same?
Answer» The scores in mathematics test (out of 25) of students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20 Find the mode and median of this data. Are they same?

Discussion

5806.	If AC > AB > BC for ΔABC, then ∠ABC is always greater than
Answer» If AC > AB > BC for ΔABC, then ∠ABC is always greater than

Discussion

5807.	Question 4(iv) Fill in the blanks to make the following statements true: [13 + (- 12)] + (...) = 13 + [(- 12) + (- 7)]
Answer» Question 4(iv) Fill in the blanks to make the following statements true: [13 + (- 12)] + (...) = 13 + [(- 12) + (- 7)]

Discussion

5808.	Question 5(iii) Express each of the following as product of powers of their prime factors: (iii) 540
Answer» Question 5(iii) Express each of the following as product of powers of their prime factors: (iii) 540

Discussion

5809.	Question 2(a)Write True (T) or False (F) against each of the following statements:16 : 24 : : 20 : 30
Answer» Question 2(a) Write True (T) or False (F) against each of the following statements: 16 : 24 : : 20 : 30

5809.

Question 2(a)Write True (T) or False (F) against each of the following statements:16 : 24 : : 20 : 30

Answer»

Question 2(a)

Write True (T) or False (F) against each of the following statements:

16 : 24 : : 20 : 30

Discussion

5810.	what is discrimint
Answer» what is discrimint

Discussion

5811.	Bisect the given angles and measure the bisected angles in the following:∠PQR = 110°
Answer» Bisect the given angles and measure the bisected angles in the following: ∠PQR = 110°

5811.

Bisect the given angles and measure the bisected angles in the following:∠PQR = 110°

Answer»

Bisect the given angles and measure the bisected angles in the following:

∠PQR = 110°

Discussion

5812.	Students in a class each write down on a piece of paper a letter of their choice and fold it and put it into a bowl. Given above are those letters. Alex picks a piece of paper at random from the bowl. What is the probability that Alex picks a paper with;
Answer» Students in a class each write down on a piece of paper a letter of their choice and fold it and put it into a bowl. Given above are those letters. Alex picks a piece of paper at random from the bowl. What is the probability that Alex picks a paper with;

Discussion

5813.	If Mathew wants to earn a simple interest of Rs. 500 by lending money to his friend at an interest of 10% per annum for 5 years, how much money should he lend?
Answer» If Mathew wants to earn a simple interest of Rs. 500 by lending money to his friend at an interest of $10 %$ per annum for 5 years, how much money should he lend?

Discussion

5814.	Solve 2010 × 1990 using a standard identity.
Answer» Solve 2010 $\times$ 1990 using a standard identity.

Discussion

5815.	ABC is a right triangle right angled at A. D lies on BA produced and DE perpendicular to BC intersecting AC at F. If ∠AFE=130∘, find(i) ∠BDE (ii) ∠BCA (iii) ∠ABC
Answer» ABC is a right triangle right angled at A. D lies on BA produced and DE perpendicular to BC intersecting AC at F. If $∠ A F E = 130^{\circ}$ , find (i) $∠ B D E$ (ii) $∠ B C A$ (iii) $∠ A B C$

Discussion

5816.	Question 1 (iii) Find the complement of each of the following angles:
Answer» Question 1 (iii) Find the complement of each of the following angles:

Discussion

5817.	Verify: 34+(−56+78)=(34+−56)+78By which property, it holds true.
Answer» Verify: $\frac{3}{4} + (\frac{- 5}{6} + \frac{7}{8}) = (\frac{3}{4} + \frac{- 5}{6}) + \frac{7}{8}$ By which property, it holds true.

Discussion

5818.	Question 48Which pair of ratios are equal? and why?(i) 23,46(ii) 84,21(iii) 45,1220
Answer» Question 48 Which pair of ratios are equal? and why? (i) $\frac{2}{3}, \frac{4}{6}$ (ii) $\frac{8}{4}, \frac{2}{1}$ (iii) $\frac{4}{5}, \frac{12}{20}$

5818.

Question 48Which pair of ratios are equal? and why?(i) 23,46(ii) 84,21(iii) 45,1220

Answer»

Question 48

Which pair of ratios are equal? and why?

(i) $\frac{2}{3}, \frac{4}{6}$

(ii) $\frac{8}{4}, \frac{2}{1}$

(iii) $\frac{4}{5}, \frac{12}{20}$

Discussion

5819.	Three angles form a straight angle and they are in the ratio 2 : 4 : 3.Find the measure of the smallest angle among them.
Answer» Three angles form a straight angle and they are in the ratio 2 : 4 : 3. Find the measure of the smallest angle among them.

5819.

Three angles form a straight angle and they are in the ratio 2 : 4 : 3.Find the measure of the smallest angle among them.

Answer»

Three angles form a straight angle and they are in the ratio 2 : 4 : 3.

Find the measure of the smallest angle among them.

Discussion

5820.	“ If –x is multiplied by 7 and the product is added to 11” is expressed as ____x + 11.
Answer» “ If –x is multiplied by 7 and the product is added to 11” is expressed as ____x + 11.

Discussion

5821.	How many terms are in each of the following algebraic expressions? 6x3+8x2−4x 15xy3+21x2−16 19x2+8x2+4xy−2
Answer» How many terms are in each of the following algebraic expressions? $6 x^{3} + 8 x^{2} - 4 x$ $15 x y^{3} + 21 x^{2} - 16$ $19 x^{2} + 8 x^{2} + 4 x y - 2$

Discussion

5822.	If Ac or Ā or A' denote the complement of an event A, then P(Ac) = _________.
Answer» If A^c or Ā or A' denote the complement of an event A, then P(A^c) = _________.

Discussion

5823.	The variety of answers that can be observed in any collection of data is known as
Answer» The variety of answers that can be observed in any collection of data is known as

Discussion

5824.	Complétez avec les nombres cardinaux.(a) 14 (g) 80(b) 31 (h) 81(c) 52 (i) 88(d) 44 (j) 91(e) 68 (k) 99(f) 71 (l) 100
Answer» Complétez avec les nombres cardinaux. (a) 14 (g) 80 (b) 31 (h) 81 (c) 52 (i) 88 (d) 44 (j) 91 (e) 68 (k) 99 (f) 71 (l) 100

Discussion

5825.	Line m is parallel to line n and the third line l is the transverse line as given in the figure belowHere, angle x & y areangles.
Answer» Line $m$ is parallel to line $n$ and the third line $l$ is the transverse line as given in the figure below Here, angle $x & y$ areangles.

Discussion

5826.	ntBy selling 90 ball pens for Rs 160 a person loses 20%. how many ball pens should be sold for Rs 96 so as to have a profit of 20%. ?n
Answer» ntBy selling 90 ball pens for Rs 160 a person loses 20%. how many ball pens should be sold for Rs 96 so as to have a profit of 20%. ?n

Discussion

5827.	If ΔABC ~ ΔEDF, the __________.
Answer» If ΔABC ~ ΔEDF, the __________.

Discussion

5828.	Below is a copy of a calendar of July 2015 Then the sum of three dates in a diagonal is always a multiple of ____. (Do it algebraically and choose the right answer)
Answer» Below is a copy of a calendar of July 2015 Then the sum of three dates in a diagonal is always a multiple of ____. (Do it algebraically and choose the right answer)

5828.

Below is a copy of a calendar of July 2015 Then the sum of three dates in a diagonal is always a multiple of ____. (Do it algebraically and choose the right answer)

Answer»

Below is a copy of a calendar of July 2015

Then the sum of three dates in a diagonal is always a multiple of ____.

(Do it algebraically and choose the right answer)

Discussion

5829.	By what rational number should −839 be multiplies to obtain 126 ?
Answer» By what rational number should $\frac{- 8}{39}$ be multiplies to obtain $\frac{1}{26}$ ?

Discussion

5830.	Give the additive inverse of: [2 MARKS] 314,−519
Answer» Give the additive inverse of: [2 MARKS] $\frac{3}{14}, \frac{- 5}{19}$

Discussion

5831.	How many edges will you see in the front view of the given image ?4
Answer» How many edges will you see in the front view of the given image ? 4

Discussion

5832.	In the given figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠ABC = 70° and ∠ACB = 20°, then ∠MAN = ?
Answer» In the given figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠ABC = 70° and ∠ACB = 20°, then ∠MAN = ?

Discussion

5833.	what is the angle between the line y=x and negative direction of x-axi
Answer» what is the angle between the line y=x and negative direction of x-axi

Discussion

5834.	The ratio of Fatima's income to her savings is 4:1. The percentage of money saved by her is (a) 20% (b) 25% (c) 40% (d) 80%
Answer» The ratio of Fatima's income to her savings is $4 : 1.$ The percentage of money saved by her is (a) $20 %$ (b) $25 %$ (c) $40 %$ (d) $80 %$

5834.

The ratio of Fatima's income to her savings is 4:1. The percentage of money saved by her is (a) 20% (b) 25% (c) 40% (d) 80%

Answer»

The ratio of Fatima's income to her savings is $4 : 1.$ The percentage of money saved by her is

(a) $20 %$
(b) $25 %$
(c) $40 %$
(d) $80 %$

Discussion

5835.	A person walks from his house at a speed of 4km/hand reaches school 5min late.if his speed has been 5 km/h he would have reached10 min earlier. the dis†an ce of schol from house is (1) 5 km (2) 6km (3) 7km (4) 8 km
Answer» A person walks from his house at a speed of 4km/hand reaches school 5min late.if his speed has been 5 km/h he would have reached10 min earlier. the dis†an ce of schol from house is (1) 5 km (2) 6km (3) 7km (4) 8 km

Discussion

5836.	2x+5y multiplied with 4y+7 is equal to
Answer» $2 x + 5 y$ multiplied with $4 y + 7$ is equal to

Discussion

5837.	If the sides of a triangle are 3 cm, 4 cm, and 5 cm. Then, the triangle formed is a/an _____ triangle.
Answer» If the sides of a triangle are $3 cm, 4 cm, and 5 cm$ . Then, the triangle formed is a/an _____ triangle.

Discussion

5838.	In an obtuse triangle, what can be said about the remaining two angles that are not obtuse?
Answer» In an obtuse triangle, what can be said about the remaining two angles that are not obtuse?

Discussion

5839.	The ratio of the corresponding sides of two similar triangles is 1 : 3. The ratio of their corresponding heights is _________.
Answer» The ratio of the corresponding sides of two similar triangles is 1 : 3. The ratio of their corresponding heights is _________.

Discussion

5840.	The percentage of attendance of different classes in a year in a school is given below:ClassXIXVIIIVIIVIVAttendance306285927655What is the probability that the class attendance is more than 75%?
Answer» The percentage of attendance of different classes in a year in a school is given below: $\begin{matrix} Class & X & I X & V I I I & V I I & V I & V Attendance & 30 & 62 & 85 & 92 & 76 & 55 \end{matrix}$ What is the probability that the class attendance is more than 75%?

5840.

The percentage of attendance of different classes in a year in a school is given below:ClassXIXVIIIVIIVIVAttendance306285927655What is the probability that the class attendance is more than 75%?

Answer»

The percentage of attendance of different classes in a year in a school is given below:

$\begin{matrix} Class & X & I X & V I I I & V I I & V I & V Attendance & 30 & 62 & 85 & 92 & 76 & 55 \end{matrix}$

What is the probability that the class attendance is more than 75%?

Discussion

5841.	In the figure given below, name the parts of the triangles that can be used to prove the congruence of the two triangles.
Answer» In the figure given below, name the parts of the triangles that can be used to prove the congruence of the two triangles.

5841.

In the figure given below, name the parts of the triangles that can be used to prove the congruence of the two triangles.

Answer»

In the figure given below, name the parts of the triangles that can be used to prove the congruence of the two triangles.

Discussion

5842.	The probability of getting at least one tail, when four coins are tossed is .
Answer» The probability of getting at least one tail, when four coins are tossed is .

Discussion

5843.	A room is 12.5 m long and 8 m wide. A square carpet of side 8 m is laid on its floor. Find the area of the floor which is not carpeted.
Answer» A room is 12.5 m long and 8 m wide. A square carpet of side 8 m is laid on its floor. Find the area of the floor which is not carpeted.

Discussion

5844.	In an examination, there are three papers each of 100 marks. A candidate obtained 53 marks in the first paper and 75 marks in the second paper. How many marks must the candidate obtain in the third paper to get an overall of 70% marks?
Answer» In an examination, there are three papers each of 100 marks. A candidate obtained 53 marks in the first paper and 75 marks in the second paper. How many marks must the candidate obtain in the third paper to get an overall of 70% marks?

Discussion

5845.	Outcome2356Frequency10141620A dice was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?
Answer» $\begin{matrix} Outcome & 2 & 3 & 5 & 6 Frequency & 10 & 14 & 16 & 20 \end{matrix}$ A dice was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

5845.

Outcome2356Frequency10141620A dice was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

Answer»

$\begin{matrix} Outcome & 2 & 3 & 5 & 6 Frequency & 10 & 14 & 16 & 20 \end{matrix}$

A dice was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

Discussion

5846.	The area of the rectangle in the diagram shown below is .
Answer» The area of the rectangle in the diagram shown below is .

Discussion

5847.	Simplify : (9p – 5q )^2 +180pq = (9p + 5q)^2
Answer» Simplify : (9p – 5q )^2 +180pq = (9p + 5q)^2

Discussion

5848.	Choose the correct alternative answer for each of the following questions.(1) In ☐ PQRS, m∠ P = m∠ R = 108ᴏ, m∠ Q = m∠ S =72ᴏ. State which pair of sides of those given below is parallel.(A) Side PQ and side QR(B) Side PQ and side SR(C) Side SR and side SP(D) Side PS and side PQ(2) Read the following statements and choose the correct alternative from those given below them.(i) Diagonals of a rectangle are perpendicular bisectors of each other.(ii) Diagonals of a rhombus are perpendicular bisectors of each other.(iii) Diagonals of a parallelogram are perpendicular bisectors of each other.(iv) Diagonals of a kite bisect each other.(A) Statement (ii) and (iii) are true(B) Only statement (ii) is true(C) Statements (ii) and (iv) are true(D) Statements (i), (iii) and (iv) are true.(3) If 193 = 6859, find 0.0068593.(A) 1.9(B) 19(C) 0.019(D) 0.19
Answer» Choose the correct alternative answer for each of the following questions. (1) In ☐ PQRS, m∠ P = m∠ R = 108^ᴏ, m∠ Q = m∠ S =72^ᴏ. State which pair of sides of those given below is parallel. (A) Side PQ and side QR (B) Side PQ and side SR (C) Side SR and side SP (D) Side PS and side PQ (2) Read the following statements and choose the correct alternative from those given below them. (i) Diagonals of a rectangle are perpendicular bisectors of each other. (ii) Diagonals of a rhombus are perpendicular bisectors of each other. (iii) Diagonals of a parallelogram are perpendicular bisectors of each other. (iv) Diagonals of a kite bisect each other. (A) Statement (ii) and (iii) are true (B) Only statement (ii) is true (C) Statements (ii) and (iv) are true (D) Statements (i), (iii) and (iv) are true. (3) If 19³ = 6859, find $\sqrt[3]{0.006859}$ . (A) 1.9 (B) 19 (C) 0.019 (D) 0.19

Discussion

5849.	If 7.5−3.5x≤−3x+10, then
Answer» If $7.5 - 3.5 x \leq - 3 x + 10$ , then

Discussion

5850.	Prove that in a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angles opposite to the first side is a right angle.
Answer» Prove that in a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angles opposite to the first side is a right angle.

Discussion

Explore topic-wise InterviewSolutions in .

39. what is the distance between two octahedral voids in a ccp lattice??

श्रीकृष्णअपनीचोटीकेविषयमेंक्या-क्यासोचरहेथे?

8x = 26 , find the value of x?

The sum off all the exterior angles of a triangle is equal to .

The scores in mathematics test (out of 25) of students is as follows:19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20Find the mode and median of this data. Are they same?

If AC > AB > BC for ΔABC, then ∠ABC is always greater than

Question 4(iv) Fill in the blanks to make the following statements true: [13 + (- 12)] + (...) = 13 + [(- 12) + (- 7)]

Question 5(iii) Express each of the following as product of powers of their prime factors: (iii) 540

Question 2(a)Write True (T) or False (F) against each of the following statements:16 : 24 : : 20 : 30

what is discrimint

Bisect the given angles and measure the bisected angles in the following:∠PQR = 110°

Students in a class each write down on a piece of paper a letter of their choice and fold it and put it into a bowl. Given above are those letters. Alex picks a piece of paper at random from the bowl. What is the probability that Alex picks a paper with;

If Mathew wants to earn a simple interest of Rs. 500 by lending money to his friend at an interest of 10% per annum for 5 years, how much money should he lend?

Solve 2010 × 1990 using a standard identity.

ABC is a right triangle right angled at A. D lies on BA produced and DE perpendicular to BC intersecting AC at F. If ∠AFE=130∘, find(i) ∠BDE (ii) ∠BCA (iii) ∠ABC

Question 1 (iii) Find the complement of each of the following angles:

Verify: 34+(−56+78)=(34+−56)+78By which property, it holds true.

Question 48Which pair of ratios are equal? and why?(i) 23,46(ii) 84,21(iii) 45,1220

Three angles form a straight angle and they are in the ratio 2 : 4 : 3.Find the measure of the smallest angle among them.

“ If –x is multiplied by 7 and the product is added to 11” is expressed as ____x + 11.

How many terms are in each of the following algebraic expressions? 6x3+8x2−4x 15xy3+21x2−16 19x2+8x2+4xy−2

If Ac or Ā or A' denote the complement of an event A, then P(Ac) = _________.

The variety of answers that can be observed in any collection of data is known as

Complétez avec les nombres cardinaux.(a) 14 (g) 80(b) 31 (h) 81(c) 52 (i) 88(d) 44 (j) 91(e) 68 (k) 99(f) 71 (l) 100

Line m is parallel to line n and the third line l is the transverse line as given in the figure belowHere, angle x &amp; y areangles.

ntBy selling 90 ball pens for Rs 160 a person loses 20%. how many ball pens should be sold for Rs 96 so as to have a profit of 20%. ?n

If ΔABC ~ ΔEDF, the __________.

Below is a copy of a calendar of July 2015 Then the sum of three dates in a diagonal is always a multiple of ____. (Do it algebraically and choose the right answer)

By what rational number should −839 be multiplies to obtain 126 ?

Give the additive inverse of: [2 MARKS] 314,−519

How many edges will you see in the front view of the given image ?4

In the given figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠ABC = 70° and ∠ACB = 20°, then ∠MAN = ?

what is the angle between the line y=x and negative direction of x-axi

The ratio of Fatima's income to her savings is 4:1. The percentage of money saved by her is (a) 20% (b) 25% (c) 40% (d) 80%

A person walks from his house at a speed of 4km/hand reaches school 5min late.if his speed has been 5 km/h he would have reached10 min earlier. the dis†an ce of schol from house is (1) 5 km (2) 6km (3) 7km (4) 8 km

2x+5y multiplied with 4y+7 is equal to

If the sides of a triangle are 3 cm, 4 cm, and 5 cm. Then, the triangle formed is a/an _____ triangle.

In an obtuse triangle, what can be said about the remaining two angles that are not obtuse?

The ratio of the corresponding sides of two similar triangles is 1 : 3. The ratio of their corresponding heights is _________.

The percentage of attendance of different classes in a year in a school is given below:ClassXIXVIIIVIIVIVAttendance306285927655What is the probability that the class attendance is more than 75%?

In the figure given below, name the parts of the triangles that can be used to prove the congruence of the two triangles.

The probability of getting at least one tail, when four coins are tossed is .

A room is 12.5 m long and 8 m wide. A square carpet of side 8 m is laid on its floor. Find the area of the floor which is not carpeted.

In an examination, there are three papers each of 100 marks. A candidate obtained 53 marks in the first paper and 75 marks in the second paper. How many marks must the candidate obtain in the third paper to get an overall of 70% marks?

Outcome2356Frequency10141620A dice was thrown 80 times and the frequency of occurrence of 2, 3, 5 and 6 is given in the table. What is the probability of occurrence of 1 or 4?

The area of the rectangle in the diagram shown below is .

Simplify : (9p – 5q )^2 +180pq = (9p + 5q)^2

If 7.5−3.5x≤−3x+10, then

Prove that in a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angles opposite to the first side is a right angle.

Line m is parallel to line n and the third line l is the transverse line as given in the figure belowHere, angle x & y areangles.