25365 + Interview Questions in Mathematics Page 138 InterviewSolution

6851.	Draw the nets of the following:i) Triangular prismii) Tetrahedroniii) Cuboid
Answer» Draw the nets of the following: i) Triangular prism ii) Tetrahedron iii) Cuboid

6851.

Draw the nets of the following:i) Triangular prismii) Tetrahedroniii) Cuboid

Answer»

Draw the nets of the following:

i) Triangular prism

ii) Tetrahedron

iii) Cuboid

6852.	Simplify :(a) (23)−3×(23)−1 (b) [(−12)−3]−2
Answer» Simplify : $(a) {(\frac{2}{3})}^{- 3} \times {(\frac{2}{3})}^{- 1} (b) {[{(\frac{- 1}{2})}^{- 3}]}^{- 2}$

Discussion

6853.	If you put 21 consonants and 5 vowels in a bag. What would carry greater probability? Getting a consonant or a vowel? Find each probability.
Answer» If you put 21 consonants and 5 vowels in a bag. What would carry greater probability? Getting a consonant or a vowel? Find each probability.

Discussion

6854.	In the given data, the class size of the class intervals is ______.
Answer» In the given data, the class size of the class intervals is ______.

Discussion

6855.	Prove that a ΔABC is an isosceles triangle if the altitude AD from A on BC bisects BC.
Answer» Prove that a ΔABC is an isosceles triangle if the altitude AD from A on BC bisects BC.

Discussion

6856.	The distance of the two tetrahedral voids present on same body diagonalfrom same corner of the cube respectively is (a = edge length)
Answer» The distance of the two tetrahedral voids present on same body diagonal from same corner of the cube respectively is (a = edge length)

Discussion

6857.	Question 105(ii)Verify the property x + y = y + x of rational number by takingx=−23 and y=−56
Answer» Question 105(ii) Verify the property x + y = y + x of rational number by taking $x = \frac{- 2}{3}$ and $y = \frac{- 5}{6}$

Discussion

6858.	Question 80Fill in the blanks to make the statements true.The number of sides in a regular polygon having the measure of an exterior angle as 72∘ is ___.
Answer» Question 80 Fill in the blanks to make the statements true. The number of sides in a regular polygon having the measure of an exterior angle as $72^{\circ}$ is ___.

Discussion

6859.	Factorise the expressions and divide them as directed(m2−14m−32)÷(m+2)
Answer» Factorise the expressions and divide them as directed $(m^{2} - 14 m - 32) \div (m + 2)$

Discussion

6860.

The following percentage bar graph depicts the number of males and females in 4 different towns. State the percentages of Males and females of town C . Towns A B C D No.of males 20 30 40 45 No. of females 30 50 35 20

Answer» The following percentage bar graph depicts the number of males and females in 4 different towns. State the percentages of Males and females of town C .

Towns	A	B	C	D
No.of males	20	30	40	45
No. of females	30	50	35	20

Discussion

6861.	solve for real x (x-3) (x-7) (x-12)
Answer» solve for real x (x-3) (x-7) (x-12) <0

Discussion

6862.	Tap on the missing hexagon to complete the following image.
Answer» Tap on the missing hexagon to complete the following image.

Discussion

6863.	97.150 workers were engaged to finish a work in certain days.4 workers dropped on second day and 4 on third day and so on. If it takes 8 more days to finish work,then find no.of days in which work will be completed
Answer» 97.150 workers were engaged to finish a work in certain days.4 workers dropped on second day and 4 on third day and so on. If it takes 8 more days to finish work,then find no.of days in which work will be completed

Discussion

6864.	Using the rule, can’t you do these in your head?(i) (−3) × 4(ii) (−4) × 7(iii) (−1) × 9(iv) (−5) × 4(v) (−2) × 5(vi) (vii) (viii) (ix) (x) (−0.5) × 0.2(xi) (−0.4) × 0.3
Answer» Using the rule, can’t you do these in your head? (i) (−3) × 4 (ii) (−4) × 7 (iii) (−1) × 9 (iv) (−5) × 4 (v) (−2) × 5 (vi) (vii) (viii) (ix) (x) (−0.5) × 0.2 (xi) (−0.4) × 0.3

6864.

Using the rule, can’t you do these in your head?(i) (−3) × 4(ii) (−4) × 7(iii) (−1) × 9(iv) (−5) × 4(v) (−2) × 5(vi) (vii) (viii) (ix) (x) (−0.5) × 0.2(xi) (−0.4) × 0.3

Answer»

Using the rule, can’t you do these in your head?

(i) (−3) × 4

(ii) (−4) × 7

(iii) (−1) × 9

(iv) (−5) × 4

(v) (−2) × 5

(vi)

(vii)

(viii)

(ix)

(x) (−0.5) × 0.2

(xi) (−0.4) × 0.3

Discussion

6865.	If x-1x=12, then write the value of 4x2+4x2
Answer» If $x - \frac{1}{x} = \frac{1}{2}$ , then write the value of $4 x^{2} + \frac{4}{x^{2}}$

Discussion

6866.	Draw the graphs of the following straight −lines:(i) y = 3 − x; (ii) y = x − 3; (iii) y = 3x − 2; (iv) y = 5 − 3x;(v) 4y = − x + 3; (vi) 3y = 4x + 1; (vii) x = 4; (viii) 3y = 1.
Answer» Draw the graphs of the following straight −lines: (i) y = 3 − x; (ii) y = x − 3; (iii) y = 3x − 2; (iv) y = 5 − 3x; (v) 4y = − x + 3; (vi) 3y = 4x + 1; (vii) x = 4; (viii) 3y = 1.

6866.

Draw the graphs of the following straight −lines:(i) y = 3 − x; (ii) y = x − 3; (iii) y = 3x − 2; (iv) y = 5 − 3x;(v) 4y = − x + 3; (vi) 3y = 4x + 1; (vii) x = 4; (viii) 3y = 1.

Answer»

Draw the graphs of the following straight −lines:

(i) y = 3 − x; (ii) y = x − 3; (iii) y = 3x − 2; (iv) y = 5 − 3x;

(v) 4y = − x + 3; (vi) 3y = 4x + 1; (vii) x = 4; (viii) 3y = 1.

Discussion

6867.	Construct a triangle ABC in which BC = 8cm, ∠B = 45° and AB – AC = 3.5 cm.
Answer» Construct a triangle ABC in which BC = 8cm, ∠B = 45° and AB – AC = 3.5 cm.

Discussion

6868.	A force F is given by F=at + bt2 , where t is time. What are the dimensions of a and b
Answer» A force F is given by F=at + $b t^{2}$ , where t is time. What are the dimensions of a and b

Discussion

6869.	Question 92 (xi) Factorise the following using the identity a2−b2=(a+b)(a−b). y3−y9
Answer» Question 92 (xi) Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$ $y^{3} - \frac{y}{9}$

6869.

Question 92 (xi) Factorise the following using the identity a2−b2=(a+b)(a−b). y3−y9

Answer»

Question 92 (xi)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$y^{3} - \frac{y}{9}$

Discussion

6870.	Preeti is trying to draw a line parallel to PQ through a point R not lying on PQ. How many arcs does she need to draw?
Answer» Preeti is trying to draw a line parallel to $P Q$ through a point $R$ not lying on $P Q$ . How many arcs does she need to draw?

Discussion

6871.	A loan of ₹15000 was taken on compound interest. If the rate of compound interest s 12 p.c.p.a. find the amount to settle the loan after 3 years.
Answer» A loan of ₹15000 was taken on compound interest. If the rate of compound interest s 12 p.c.p.a. find the amount to settle the loan after 3 years.

Discussion

6872.	In a lottery, there are 10 prizes and 20 blanks. A ticket is chosen at random. What is the probability of getting a prize?
Answer» In a lottery, there are 10 prizes and 20 blanks. A ticket is chosen at random. What is the probability of getting a prize?

Discussion

6873.	In a school, 46 students of 9th standard, were told to measure the lengths of the pencilsin their compass-boxes in centimeters. The data collected was as follows.16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distributiontable.
Answer» In a school, 46 students of 9th standard, were told to measure the lengths of the pencilsin their compass-boxes in centimeters. The data collected was as follows. 16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10 By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distribution table.

Discussion

6874.	A letter is chosen from the word 'MATHEMATICS'. What is the probability that the chosen letter is a vowel?
Answer» A letter is chosen from the word 'MATHEMATICS'. What is the probability that the chosen letter is a vowel?

Discussion

6875.	Perimeter of an isosceles trapezoid is 12 units. Dimension of two adjacent sides are 3 units and 4 units. If all the sides have integer dimensions, find the possible dimensions of two parallel side.
Answer» Perimeter of an isosceles trapezoid is $12 units .$ Dimension of two adjacent sides are $3 units$ and $4 units .$ If all the sides have integer dimensions, find the possible dimensions of two parallel side.

Discussion

6876.

On Sunday, 845 people visited the zoo whereas on Monday, only 169 people visited. Find the percentage decrease in the number of visitors on Monday.

Answer»

On Sunday, 845 people visited the zoo whereas on Monday, only 169 people visited. Find the percentage decrease in the number of visitors on Monday.

Discussion

6877.	Factorise the expression x3−6x2+11x−6.
Answer» Factorise the expression $x^{3} - 6 x^{2} + 11 x - 6$ .

Discussion

6878.	Question 88 (xiv) Factorise the following expression. 2x2−2y+4xy−x
Answer» Question 88 (xiv) Factorise the following expression. $2 x^{2} - 2 y + 4 x y - x$

Discussion

6879.	Let F1 be the set of all parallelograms, F2 the set of all rectangles, F3 the set of all rhombuses, F4 the set of all squares and F5 the set of trapeziums in a plane. Then F1 may be equal to(a) F2∩F3 (b) F3∩F4 (c) F2∪F3 (d) F2∪F3∪F4∪F1
Answer» Let F₁ be the set of all parallelograms, F₂the set of all rectangles, F₃the set of all rhombuses, F₄the set of all squares and F₅the set of trapeziums in a plane. Then F₁ may be equal to (a) $F_{2} \cap F_{3}$ (b) $F_{3} \cap F_{4}$ (c) $F_{2} \cup F_{3}$ (d) $F_{2} \cup F_{3} \cup F_{4} \cup F_{1}$

Discussion

6880.	The sum of numbers from 300 to 700 which are divisible by 3 or 5
Answer» The sum of numbers from 300 to 700 which are divisible by 3 or 5

Discussion

6881.	A dishonest shopkeeper declares that he sells his items at cost price, but actually, he uses a false weight of 800 gm for 1 kg. His gain percent is,
Answer» A dishonest shopkeeper declares that he sells his items at cost price, but actually, he uses a false weight of 800 gm for 1 kg. His gain percent is,

Discussion

6882.	Screw gauge of pitch 0.1 cm and 50 divisions on circular scale measures thickness of an object. Which of the following measurement is possible for thickness?
Answer» Screw gauge of pitch $0.1 cm$ and $50$ divisions on circular scale measures thickness of an object. Which of the following measurement is possible for thickness?

Discussion

6883.	(sec260°– 1) = ?(a) 0(b) 2(c) 3(d) 4
Answer» (sec²60°– 1) = ? (a) 0 (b) 2 (c) 3 (d) 4

Discussion

6884.	Find the largest number of 3 digits which is a perfect square.
Answer» Find the largest number of 3 digits which is a perfect square.

Discussion

6885.	What is the cube root of -216?
Answer» What is the cube root of -216?

Discussion

6886.	A mechanical watch becomes fast by 5 minutes everyday. By what percent does it become fast?
Answer» A mechanical watch becomes fast by $5$ minutes everyday. By what percent does it become fast?

Discussion

6887.	In the figure given below, ∠DAB=100∘and∠DBC=30∘. Find∠BDC.
Answer» In the figure given below, $∠ D A B = 100^{\circ} a n d ∠ D B C = 30^{\circ}$ . Find $∠ B D C$ .

Discussion

6888.	Using suitable identity, evaluate 136×107 14552
Answer» Using suitable identity, evaluate $136 \times 107$ 14552

Discussion

6889.	If ab+ba= 1, then a3 + b3 =(a) 1(b) −1(c) 12(d) 0
Answer» If $\frac{a}{b} + \frac{b}{a} = 1$ , then a³ + b³ = (a) 1 (b) −1 (c) $\frac{1}{2}$ (d) 0

Discussion

6890.	Question 29 On increasing a,b increases in such a manner that ab remians___and postive, then a and b are said to vary directly with each other.
Answer» Question 29 On increasing a,b increases in such a manner that $\frac{a}{b}$ remians___and postive, then a and b are said to vary directly with each other.

6890.

Question 29 On increasing a,b increases in such a manner that ab remians___and postive, then a and b are said to vary directly with each other.

Answer»

Question 29

On increasing a,b increases in such a manner that $\frac{a}{b}$ remians___and postive, then a and b are said to vary directly with each other.

Discussion

6891.	In the given figure,∠CAE=84∘.If ∠B:∠C=3:4, then ∠B = ____ and ∠C = ____.
Answer» In the given figure, $∠ C A E = 84^{\circ}$ . If $∠ B : ∠ C = 3 : 4,$ then $∠ B$ = ____ and $∠ C$ = ____.

Discussion

6892.	how square and rhombus alik
Answer» how square and rhombus alik

Discussion

6893.	Question 19Fill in the blanks to make each statement true:Any value of the variable, which makes both sides of an equation equal, is known as a ................... of the equation.
Answer» Question 19 Fill in the blanks to make each statement true: Any value of the variable, which makes both sides of an equation equal, is known as a ................... of the equation.

6893.

Question 19Fill in the blanks to make each statement true:Any value of the variable, which makes both sides of an equation equal, is known as a ................... of the equation.

Answer»

Question 19

Fill in the blanks to make each statement true:

Any value of the variable, which makes both sides of an equation equal, is known as a ................... of the equation.

Discussion

6894.	Simplify the following:(i) (a2+b2+c2)(2a+3b)(ii) (p+q)(p2−pq+q2)
Answer» Simplify the following: $(i) (a^{2} + b^{2} + c^{2}) (2 a + 3 b)$ $(i i) (p + q) (p^{2} - p q + q^{2})$

Discussion

6895.	the image of the plane x+y+z+1=0 through the plane 2x+3y-5z+6=0 i
Answer» the image of the plane x+y+z+1=0 through the plane 2x+3y-5z+6=0 i

Discussion

6896.	ABCD is a quadrilateral and the measure of AB, BC , CD and AC are known. Which of the following parameter required for the construction of a unique quadrilateral ABCD ?
Answer» ABCD is a quadrilateral and the measure of AB, BC , CD and AC are known. Which of the following parameter required for the construction of a unique quadrilateral ABCD ?

Discussion

6897.	A general arranges his soldiers in rows to form a a perfect square.He finds that in doing so,60 soldiers are left out.IF the total number of soldiers be 8160,find the number of soldiers in each row.
Answer» A general arranges his soldiers in rows to form a a perfect square.He finds that in doing so,60 soldiers are left out.IF the total number of soldiers be 8160,find the number of soldiers in each row.

Discussion

6898.	40. Find the range of the function y= x/1+x square
Answer» 40. Find the range of the function y= x/1+x square

Discussion

6899.	These figures are congruent. What is the length of CD in yards? 59
Answer» These figures are congruent. What is the length of $C D$ in yards? 59

Discussion

6900.	The equal sides of the isosceles triangle are 12 cm, and the perimeter is 30 cm, then find its area.
Answer» The equal sides of the isosceles triangle are 12 cm, and the perimeter is 30 cm, then find its area.

Discussion

Explore topic-wise InterviewSolutions in .

Draw the nets of the following:i) Triangular prismii) Tetrahedroniii) Cuboid

Simplify :(a) (23)−3×(23)−1 (b) [(−12)−3]−2

If you put 21 consonants and 5 vowels in a bag. What would carry greater probability? Getting a consonant or a vowel? Find each probability.

In the given data, the class size of the class intervals is ______.

Prove that a ΔABC is an isosceles triangle if the altitude AD from A on BC bisects BC.

The distance of the two tetrahedral voids present on same body diagonalfrom same corner of the cube respectively is (a = edge length)

Question 105(ii)Verify the property x + y = y + x of rational number by takingx=−23 and y=−56

Question 80Fill in the blanks to make the statements true.The number of sides in a regular polygon having the measure of an exterior angle as 72∘ is ___.

Factorise the expressions and divide them as directed(m2−14m−32)÷(m+2)

The following percentage bar graph depicts the number of males and females in 4 different towns. State the percentages of Males and females of town C . Towns A B C D No.of males 20 30 40 45 No. of females 30 50 35 20

solve for real x (x-3) (x-7) (x-12)

Tap on the missing hexagon to complete the following image.

97.150 workers were engaged to finish a work in certain days.4 workers dropped on second day and 4 on third day and so on. If it takes 8 more days to finish work,then find no.of days in which work will be completed

Using the rule, can’t you do these in your head?(i) (−3) × 4(ii) (−4) × 7(iii) (−1) × 9(iv) (−5) × 4(v) (−2) × 5(vi) (vii) (viii) (ix) (x) (−0.5) × 0.2(xi) (−0.4) × 0.3

If x-1x=12, then write the value of 4x2+4x2

Draw the graphs of the following straight −lines:(i) y = 3 − x; (ii) y = x − 3; (iii) y = 3x − 2; (iv) y = 5 − 3x;(v) 4y = − x + 3; (vi) 3y = 4x + 1; (vii) x = 4; (viii) 3y = 1.

Construct a triangle ABC in which BC = 8cm, ∠B = 45° and AB – AC = 3.5 cm.

A force F is given by F=at + bt2 , where t is time. What are the dimensions of a and b

Question 92 (xi) Factorise the following using the identity a2−b2=(a+b)(a−b). y3−y9

Preeti is trying to draw a line parallel to PQ through a point R not lying on PQ. How many arcs does she need to draw?

A loan of ₹15000 was taken on compound interest. If the rate of compound interest s 12 p.c.p.a. find the amount to settle the loan after 3 years.

In a lottery, there are 10 prizes and 20 blanks. A ticket is chosen at random. What is the probability of getting a prize?

A letter is chosen from the word 'MATHEMATICS'. What is the probability that the chosen letter is a vowel?

Perimeter of an isosceles trapezoid is 12 units. Dimension of two adjacent sides are 3 units and 4 units. If all the sides have integer dimensions, find the possible dimensions of two parallel side.

On Sunday, 845 people visited the zoo whereas on Monday, only 169 people visited. Find the percentage decrease in the number of visitors on Monday.

Factorise the expression x3−6x2+11x−6.

Question 88 (xiv) Factorise the following expression. 2x2−2y+4xy−x

Let F1 be the set of all parallelograms, F2 the set of all rectangles, F3 the set of all rhombuses, F4 the set of all squares and F5 the set of trapeziums in a plane. Then F1 may be equal to(a) F2∩F3 (b) F3∩F4 (c) F2∪F3 (d) F2∪F3∪F4∪F1

The sum of numbers from 300 to 700 which are divisible by 3 or 5

A dishonest shopkeeper declares that he sells his items at cost price, but actually, he uses a false weight of 800 gm for 1 kg. His gain percent is,

Screw gauge of pitch 0.1 cm and 50 divisions on circular scale measures thickness of an object. Which of the following measurement is possible for thickness?

(sec260°– 1) = ?(a) 0(b) 2(c) 3(d) 4

Find the largest number of 3 digits which is a perfect square.

What is the cube root of -216?

A mechanical watch becomes fast by 5 minutes everyday. By what percent does it become fast?

In the figure given below, ∠DAB=100∘and∠DBC=30∘. Find∠BDC.

Using suitable identity, evaluate 136×107 14552

If ab+ba= 1, then a3 + b3 =(a) 1(b) −1(c) 12(d) 0

Question 29 On increasing a,b increases in such a manner that ab remians___and postive, then a and b are said to vary directly with each other.

In the given figure,∠CAE=84∘.If ∠B:∠C=3:4, then ∠B = ____ and ∠C = ____.

how square and rhombus alik

Question 19Fill in the blanks to make each statement true:Any value of the variable, which makes both sides of an equation equal, is known as a ................... of the equation.

Simplify the following:(i) (a2+b2+c2)(2a+3b)(ii) (p+q)(p2−pq+q2)

the image of the plane x+y+z+1=0 through the plane 2x+3y-5z+6=0 i

ABCD is a quadrilateral and the measure of AB, BC , CD and AC are known. Which of the following parameter required for the construction of a unique quadrilateral ABCD ?

A general arranges his soldiers in rows to form a a perfect square.He finds that in doing so,60 soldiers are left out.IF the total number of soldiers be 8160,find the number of soldiers in each row.

40. Find the range of the function y= x/1+x square

These figures are congruent. What is the length of CD in yards? 59

The equal sides of the isosceles triangle are 12 cm, and the perimeter is 30 cm, then find its area.

In the given figure,∠CAE=84∘.If ∠B:∠C=3:4, then ∠B = and ∠C = .