19743 + Interview Questions in Mathematics Page 192 InterviewSolution

9551.	The cost of fencing a triangular plot with sides in the ratio 5:12:13 is Rs 25 per meter.if the total cost incurred to fence the plot is Rs 2250,then the area of the plot is
Answer» The cost of fencing a triangular plot with sides in the ratio 5:12:13 is Rs 25 per meter.if the total cost incurred to fence the plot is Rs 2250,then the area of the plot is

Discussion

9552.	Construct a ∆ABC where,BC= 8cm∠C= 120°AB - AC= 3cm
Answer» Construct a ∆ABC where, BC= 8cm ∠C= 120° AB - AC= 3cm

Discussion

9553.	Name the sides and angles of the following triangles.
Answer» Name the sides and angles of the following triangles.

9553.

Name the sides and angles of the following triangles.

Answer»

Name the sides and angles of the following triangles.

Discussion

9554.	What must be added to xy to make it yx?
Answer» What must be added to $\frac{x}{y}$ to make it $\frac{y}{x}$ ?

Discussion

9555.	Does a histogram give us precise data points? Answer in Yes/No.
Answer» Does a histogram give us precise data points? Answer in Yes/No.

Discussion

9556.	94.What are the possible values of ms when ml have values +1,+2,+3?
Answer» 94.What are the possible values of ms when ml have values +1,+2,+3?

Discussion

9557.	HOW CAN WE FIND BIRTHDAY DATE WITH SIMPLE ALGEBRA
Answer» HOW CAN WE FIND BIRTHDAY DATE WITH SIMPLE ALGEBRA

Discussion

9558.	If A={3,6,9,12,15,18,21},B={4,8,12,16,20}, C={2,4,6,8,10,12,14,16},D={5,10,15,20}, find(i) A−B(ii) A−C(iii) A−D(iv) B−A(v) C−A(vi) D−A(vii) B−C(vii) B−D(ix) C−B(x) D−B(xi) C−D(xii) D−C
Answer» If $A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}$ , $C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}$ , find $(i) A - B$ $(i i) A - C$ $(i i i) A - D$ $(i v) B - A$ $(v) C - A$ $(v i) D - A$ $(v i i) B - C$ $(v i i) B - D$ $(i x) C - B$ $(x) D - B$ $(x i) C - D$ $(x i i) D - C$

Discussion

9559.	If ∠BOA=210∘ and ∠BOC=120∘, find ∠COA.
Answer» If $∠ B O A = 210^{\circ}$ and $∠ B O C = 120^{\circ}$ , find $∠ C O A .$

Discussion

9560.	Which of the following is the lowest form of 96?
Answer» Which of the following is the lowest form of $\frac{9}{6}$ ?

Discussion

9561.	Sum of the interior angles of a triangle (in degrees) is ______ .180
Answer» Sum of the interior angles of a triangle (in degrees) is ______ . 180

Discussion

9562.	Question 13x = 2x +18
Answer» Question 1 3x = 2x +18

Discussion

9563.	Given that the area of the triangular region is 18 sq units, Find the area of the given figure.
Answer» Given that the area of the triangular region is 18 sq units, Find the area of the given figure.

Discussion

9564.	I offer a reduction in marked price. What is the term for this reduction? ___
Answer» I offer a reduction in marked price. What is the term for this reduction? ___

Discussion

9565.	Question 34In the question below, fill in the blank to make the statement true.The product of two terms with like signs is a ____ term.
Answer» Question 34 In the question below, fill in the blank to make the statement true. The product of two terms with like signs is a ____ term.

Discussion

9566.	Maria has finished 80% of her classwork. Express her percentage of finished classwork as a fraction in the simplest form.
Answer» Maria has finished $80 %$ of her classwork. Express her percentage of finished classwork as a fraction in the simplest form.

9566.

Maria has finished 80% of her classwork. Express her percentage of finished classwork as a fraction in the simplest form.

Answer»

Maria has finished $80 %$ of her classwork.

Express her percentage of finished classwork as a fraction in the simplest form.

Discussion

9567.	If 2x3+ax2+bx−2 leaves remainders 7 and −20 when divided by 2x−3 and x+3 respectively, find the values of a and b respectively.
Answer» If $2 x^{3} + a x^{2} + b x - 2$ leaves remainders $7$ and $- 20$ when divided by $2 x - 3$ and $x + 3$ respectively, find the values of $a$ and $b$ respectively.

Discussion

9568.	The mean of first 10 even natural numbers is ___
Answer» The mean of first 10 even natural numbers is ___

Discussion

9569.	Question 40(ii)A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defects, 3 have major defects. Varnika will buy a phone if it is good but the trader will only buy a mobile if it has no major defect. One phone is selected at random from the lot. What is the probability that it is acceptable to the trader?
Answer» Question 40(ii) A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defects, 3 have major defects. Varnika will buy a phone if it is good but the trader will only buy a mobile if it has no major defect. One phone is selected at random from the lot. What is the probability that it is acceptable to the trader?

Discussion

9570.

Enter the following transactions in the Journal of Suresh who trades in ready-made garments: 2018 ₹ April 1 Suresh paid into bank 60,000 April 2 He bought goods cheque 24,000 April 3 Sold to Mukand & Co. 6,700 April 4 Sold goods for cash 10,900 April 5 Paid sundry expenses in cash 3,000 April 8 Paid for office furniture and fittings by cheque 4,000 April 9 Bought goods from Ramesh & Bros., Faridabad (Haryana) 10,600 April 10 Sold to Mahendra of Delhi 18,700 April 11 Returned goods to Ramesh & Bros. 1,500 April 12 Issued cheque to Ramesh & Bros. in full settlement 9,000 April 14 Sold goods for cash 4,900 April 30 Bank charged interest 200 April 30 Borrowed from Ridhi 10% per annum interest 50,000 April 30 Received from Mahendra on account 6,000 April 30 Sold household furniture and paid the amount into business 2,000 April 30 Sold goods costing ₹ 5,000 to Anita for cash at a profit of 20% on cost less 20% trade discount. 6,500 April 30 Sold goods costing ₹ 20,000 to Sunil at a profit of 20% on sale less 20% Trade Discount and paid cartage ₹ 150 (to be charged from customer). CGST and SGST is levied 6% each on intra-state sale and purchase. IGST is levied 12% on inter-state sale and purchase.

Answer» Enter the following transactions in the Journal of Suresh who trades in ready-made garments:

2018		₹
April 1	Suresh paid into bank	60,000
April 2	He bought goods cheque	24,000
April 3	Sold to Mukand & Co.	6,700
April 4	Sold goods for cash	10,900
April 5	Paid sundry expenses in cash	3,000
April 8	Paid for office furniture and fittings by cheque	4,000
April 9	Bought goods from Ramesh & Bros., Faridabad (Haryana)	10,600
April 10	Sold to Mahendra of Delhi	18,700
April 11	Returned goods to Ramesh & Bros.	1,500
April 12	Issued cheque to Ramesh & Bros. in full settlement	9,000
April 14	Sold goods for cash	4,900
April 30	Bank charged interest	200
April 30	Borrowed from Ridhi 10% per annum interest	50,000
April 30	Received from Mahendra on account	6,000
April 30	Sold household furniture and paid the amount into business	2,000
April 30	Sold goods costing ₹ 5,000 to Anita for cash at a profit of 20% on cost less 20% trade discount.	6,500
April 30	Sold goods costing ₹ 20,000 to Sunil at a profit of 20% on sale less 20% Trade Discount and paid cartage ₹ 150 (to be charged from customer).

CGST and SGST is levied 6% each on intra-state sale and purchase. IGST is levied 12% on inter-state sale and purchase.

Discussion

9571.	Question 3(iii)Find the following squares by using identities:(6x2−5y)2
Answer» Question 3(iii) Find the following squares by using identities: $(6 x^{2} - 5 y)^{2}$

Discussion

9572.	Consider the following figure: Lines ←→AB and ←→XY intersect in point O. Find the value of (y – x).
Answer» Consider the following figure: Lines $\leftarrow \to A B$ and $\leftarrow \to X Y$ intersect in point O. Find the value of (y – x).

9572.

Consider the following figure: Lines ←→AB and ←→XY intersect in point O. Find the value of (y – x).

Answer»

Consider the following figure:

Lines $\leftarrow \to A B$ and $\leftarrow \to X Y$ intersect in point O.

Find the value of (y – x).

Discussion

9573.	If the circumference of a circle is 440 cm, then find its area. (Take π=227)
Answer» If the circumference of a circle is $440 c m$ , then find its area. (Take $π = \frac{22}{7}$ )

Discussion

9574.	Find the product of:(1) 15 × 6(2) 16 × (−8)(3) 20 × (−5)(4) (−35) × (10)(5) (−25) × (−5)
Answer» Find the product of: (1) 15 × 6 (2) 16 × (−8) (3) 20 × (−5) (4) (−35) × (10) (5) (−25) × (−5)

9574.

Find the product of:(1) 15 × 6(2) 16 × (−8)(3) 20 × (−5)(4) (−35) × (10)(5) (−25) × (−5)

Answer»

Find the product of:

(1) 15 × 6

(2) 16 × (−8)

(3) 20 × (−5)

(4) (−35) × (10)

(5) (−25) × (−5)

Discussion

9575.	Which of the following option(s) is/are correct for point P?
Answer» Which of the following option(s) is/are correct for point $P ?$

Discussion

9576.	(i) For any integer a, what is (− 1) × a equal to?(ii) Determine the integer whose product with (− 1) is(a) − 22 (b) 37 (c) 0
Answer» (i) For any integer a, what is (− 1) × a equal to? (ii) Determine the integer whose product with (− 1) is (a) − 22 (b) 37 (c) 0

9576.

(i) For any integer a, what is (− 1) × a equal to?(ii) Determine the integer whose product with (− 1) is(a) − 22 (b) 37 (c) 0

Answer»

(i) For any integer a, what is (− 1) × a equal to?

(ii) Determine the integer whose product with (− 1) is

(a) − 22 (b) 37 (c) 0

Discussion

9577.	If a prism of base 9 cm× 7 cm can store 819 cc of water, find its total surface area.
Answer» If a prism of base $9 c m \times 7 c m$ can store $819 c c$ of water, find its total surface area.

Discussion

9578.	Find the number which when multiplied by 7 is increased by 78.
Answer» Find the number which when multiplied by 7 is increased by 78.

Discussion

9579.	If 8, x, 17 form a Pythagorean triplet with 17 being the largest number. The value of x is _____.
Answer» If 8, x, 17 form a Pythagorean triplet with 17 being the largest number. The value of x is _____.

Discussion

9580.	The set A={x:xϵR,x2=16 and 2x=6} equals
Answer» The set $A = {x : x ϵ R, x^{2} = 16 a n d 2 x = 6}$ equals

Discussion

9581.	Two cards are drawn one after the other without replacement from a well shuffuled pack of 52 cards. The probability of drawing a face card on first draw and and an ace on the second is AB, then the value of A+B is225
Answer» Two cards are drawn one after the other without replacement from a well shuffuled pack of 52 cards. The probability of drawing a face card on first draw and and an ace on the second is $\frac{A}{B}$ , then the value of $A + B$ is 225

Discussion

9582.	Question 96 If a transversal intersects two parallel lines and the difference of two interior angles on the same side fo a transversal is 20∘ , find the angles.
Answer» Question 96 If a transversal intersects two parallel lines and the difference of two interior angles on the same side fo a transversal is $20^{\circ}$ , find the angles.

9582.

Question 96 If a transversal intersects two parallel lines and the difference of two interior angles on the same side fo a transversal is 20∘ , find the angles.

Answer»

Question 96

If a transversal intersects two parallel lines and the difference of two interior angles on the same side fo a transversal is $20^{\circ}$ , find the angles.

Discussion

9583.	The two adjacent sides of a rectangle are 2x2 − 5xy + 3z2 and 4xy − x2 − z2. Find its perimeter.
Answer» The two adjacent sides of a rectangle are 2x² − 5xy + 3z² and 4xy − x² − z². Find its perimeter.

Discussion

9584.	45. Solve 2/x+y - 1/x-y = 11 and 5/x+y + 4/x-y = 8. Find x and y
Answer» 45. Solve 2/x+y - 1/x-y = 11 and 5/x+y + 4/x-y = 8. Find x and y

Discussion

9585.	From the sum of 3x - y + 11 and - y - 11, subtract 3x – y – 11. Write the algebraic expression. [3 MARKS]
Answer» From the sum of 3x - y + 11 and - y - 11, subtract 3x – y – 11. Write the algebraic expression. [3 MARKS]

Discussion

9586.	Find the value of 'a' satisfying the equation (42)a=(7a)2 [4 MARKS]
Answer» Find the value of 'a' satisfying the equation ${(4^{2})}^{a} = {(7^{a})}^{2}$ [4 MARKS]

Discussion

9587.	Question 2 (i) Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fraction, Improper fractions and whole numbers. 37
Answer» Question 2 (i) Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fraction, Improper fractions and whole numbers. $\frac{3}{7}$

Discussion

9588.	The solution of the inequality 1−x2<4 is:
Answer» The solution of the inequality $\frac{1 - x}{2} < 4$ is:

Discussion

9589.	Write the decimal number represented by the points A, B, C, D on the given number line.
Answer» Write the decimal number represented by the points A, B, C, D on the given number line.

9589.

Write the decimal number represented by the points A, B, C, D on the given number line.

Answer»

Write the decimal number represented by the points A, B, C, D on the given number line.

Discussion

9590.	Write the exponents for the base given. (1) 125 with 5 as base (2) −343 with (−7) as base (3) 32 with 2 as base (4) 10,000 with (−10) as base (5) −243 with (−3) as base
Answer» Write the exponents for the base given. (1) 125 with 5 as base (2) −343 with (−7) as base (3) 32 with 2 as base (4) 10,000 with (−10) as base (5) −243 with (−3) as base

9590.

Write the exponents for the base given. (1) 125 with 5 as base (2) −343 with (−7) as base (3) 32 with 2 as base (4) 10,000 with (−10) as base (5) −243 with (−3) as base

Answer»

Write the exponents for the base given.

(1) 125 with 5 as base

(2) −343 with (−7) as base

(3) 32 with 2 as base

(4) 10,000 with (−10) as base

(5) −243 with (−3) as base

Discussion

9591.	Question 38Fill in the blanks to make the statement true.If the sum of the number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ___.
Answer» Question 38 Fill in the blanks to make the statement true. If the sum of the number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ___.

Discussion

9592.	Question 2 (vi) Find the value of the unknown interior angle x in the following figures.
Answer» Question 2 (vi) Find the value of the unknown interior angle x in the following figures.

Discussion

9593.	A plane is flying at the height of 5,000 m above the sea level. At a particular point, it is exactly above a submarine floating 1,200 m below the sea level. What is the vertical distance between them?
Answer» A plane is flying at the height of 5,000 m above the sea level. At a particular point, it is exactly above a submarine floating 1,200 m below the sea level. What is the vertical distance between them?

Discussion

9594.	Bisect a right angle, using ruler and compasses. Measure each part. Bisect each of these parts what will be the measure of each of these parts?
Answer» Bisect a right angle, using ruler and compasses. Measure each part. Bisect each of these parts what will be the measure of each of these parts?

Discussion

9595.	In a science test given to 10 students, the following marks [out of 100] are recorded as: 77, 43, 39, 56, 96, 47, 53, 45, 45, 55. Find out the mean & median of the above marks. [3 MARKS]
Answer» In a science test given to 10 students, the following marks [out of 100] are recorded as: 77, 43, 39, 56, 96, 47, 53, 45, 45, 55. Find out the mean & median of the above marks. [3 MARKS]

Discussion

9596.	What is mirror formula
Answer» What is mirror formula

Discussion

9597.	5. A certain sum of money is invested at the rate of 10% per annum compound interest, the interest compounded annually. If the difference between the interests of third year and first year is 1,105, find the sum invested.
Answer» 5. A certain sum of money is invested at the rate of 10% per annum compound interest, the interest compounded annually. If the difference between the interests of third year and first year is 1,105, find the sum invested.

Discussion

9598.	Question 3(c) Solve the following equations: -16=-5(2-p)
Answer» Question 3(c) Solve the following equations: -16=-5(2-p)

Discussion

9599.	Aliyah had Rs. 24 to spend on seven pencils. After buying them she had Rs. 10 left. How much did each pencil cost? [4 MARKS]
Answer» Aliyah had Rs. 24 to spend on seven pencils. After buying them she had Rs. 10 left. How much did each pencil cost? [4 MARKS]

Discussion

9600.	In a school, there are 480 girls and 270 boys. Their auditorium is a little crowded, and so the teachers have to arrange the students in equal rows such that there are an equal number of boys in each of the boy’s row and an equal number of girls in each of the girl’s row. Find the minimum number of rows so that this is possible if no row contains both girls and boys.
Answer» In a school, there are 480 girls and 270 boys. Their auditorium is a little crowded, and so the teachers have to arrange the students in equal rows such that there are an equal number of boys in each of the boy’s row and an equal number of girls in each of the girl’s row. Find the minimum number of rows so that this is possible if no row contains both girls and boys.

Discussion

Explore topic-wise InterviewSolutions in .

The cost of fencing a triangular plot with sides in the ratio 5:12:13 is Rs 25 per meter.if the total cost incurred to fence the plot is Rs 2250,then the area of the plot is

Construct a ∆ABC where,BC= 8cm∠C= 120°AB - AC= 3cm

Name the sides and angles of the following triangles.

What must be added to xy to make it yx?

Does a histogram give us precise data points? Answer in Yes/No.

94.What are the possible values of ms when ml have values +1,+2,+3?

HOW CAN WE FIND BIRTHDAY DATE WITH SIMPLE ALGEBRA

If A={3,6,9,12,15,18,21},B={4,8,12,16,20}, C={2,4,6,8,10,12,14,16},D={5,10,15,20}, find(i) A−B(ii) A−C(iii) A−D(iv) B−A(v) C−A(vi) D−A(vii) B−C(vii) B−D(ix) C−B(x) D−B(xi) C−D​​​​​​(xii) D−C

If ∠BOA=210∘ and ∠BOC=120∘, find ∠COA.

Which of the following is the lowest form of 96?

Sum of the interior angles of a triangle (in degrees) is ______ .180

Question 13x = 2x +18

Given that the area of the triangular region is 18 sq units, Find the area of the given figure.

I offer a reduction in marked price. What is the term for this reduction? ___

Question 34In the question below, fill in the blank to make the statement true.The product of two terms with like signs is a ____ term.

Maria has finished 80% of her classwork. Express her percentage of finished classwork as a fraction in the simplest form.

If 2x3+ax2+bx−2 leaves remainders 7 and −20 when divided by 2x−3 and x+3 respectively, find the values of a and b respectively.

The mean of first 10 even natural numbers is ___

Question 3(iii)Find the following squares by using identities:(6x2−5y)2

Consider the following figure: Lines ←→AB and ←→XY intersect in point O. Find the value of (y – x).

If the circumference of a circle is 440 cm, then find its area. (Take π=227)

Find the product of:(1) 15 × 6(2) 16 × (−8)(3) 20 × (−5)(4) (−35) × (10)(5) (−25) × (−5)

Which of the following option(s) is/are correct for point P?

(i) For any integer a, what is (− 1) × a equal to?(ii) Determine the integer whose product with (− 1) is(a) − 22 (b) 37 (c) 0

If a prism of base 9 cm× 7 cm can store 819 cc of water, find its total surface area.

Find the number which when multiplied by 7 is increased by 78.

If 8, x, 17 form a Pythagorean triplet with 17 being the largest number. The value of x is _____.

The set A={x:xϵR,x2=16 and 2x=6} equals

Two cards are drawn one after the other without replacement from a well shuffuled pack of 52 cards. The probability of drawing a face card on first draw and and an ace on the second is AB, then the value of A+B is225

Question 96 If a transversal intersects two parallel lines and the difference of two interior angles on the same side fo a transversal is 20∘ , find the angles.

The two adjacent sides of a rectangle are 2x2 − 5xy + 3z2 and 4xy − x2 − z2. Find its perimeter.

45. Solve 2/x+y - 1/x-y = 11 and 5/x+y + 4/x-y = 8. Find x and y

From the sum of 3x - y + 11 and - y - 11, subtract 3x – y – 11. Write the algebraic expression. [3 MARKS]

Find the value of 'a' satisfying the equation (42)a=(7a)2 [4 MARKS]

Question 2 (i) Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fraction, Improper fractions and whole numbers. 37

The solution of the inequality 1−x2&lt;4 is:

Write the decimal number represented by the points A, B, C, D on the given number line.

Write the exponents for the base given. (1) 125 with 5 as base (2) −343 with (−7) as base (3) 32 with 2 as base (4) 10,000 with (−10) as base (5) −243 with (−3) as base

Question 38Fill in the blanks to make the statement true.If the sum of the number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ___.

Question 2 (vi) Find the value of the unknown interior angle x in the following figures.

A plane is flying at the height of 5,000 m above the sea level. At a particular point, it is exactly above a submarine floating 1,200 m below the sea level. What is the vertical distance between them?

Bisect a right angle, using ruler and compasses. Measure each part. Bisect each of these parts what will be the measure of each of these parts?

In a science test given to 10 students, the following marks [out of 100] are recorded as: 77, 43, 39, 56, 96, 47, 53, 45, 45, 55. Find out the mean &amp; median of the above marks. [3 MARKS]

What is mirror formula

5. A certain sum of money is invested at the rate of 10% per annum compound interest, the interest compounded annually. If the difference between the interests of third year and first year is 1,105, find the sum invested.

Question 3(c) Solve the following equations: -16=-5(2-p)

Aliyah had Rs. 24 to spend on seven pencils. After buying them she had Rs. 10 left. How much did each pencil cost? [4 MARKS]

If A={3,6,9,12,15,18,21},B={4,8,12,16,20}, C={2,4,6,8,10,12,14,16},D={5,10,15,20}, find(i) A−B(ii) A−C(iii) A−D(iv) B−A(v) C−A(vi) D−A(vii) B−C(vii) B−D(ix) C−B(x) D−B(xi) C−D(xii) D−C

The solution of the inequality 1−x2<4 is:

In a science test given to 10 students, the following marks [out of 100] are recorded as: 77, 43, 39, 56, 96, 47, 53, 45, 45, 55. Find out the mean & median of the above marks. [3 MARKS]