25365 + Interview Questions in Mathematics Page 146 InterviewSolution

7251.	(a) Draw the graph of the function y = 3x (b) From the graph, find the value of y, when (i) x = 3 (ii) x = 5 (iii) x = 6
Answer» (a) Draw the graph of the function y = 3x (b) From the graph, find the value of y, when (i) x = 3 (ii) x = 5 (iii) x = 6

7251.

(a) Draw the graph of the function y = 3x (b) From the graph, find the value of y, when (i) x = 3 (ii) x = 5 (iii) x = 6

Answer»

(a) Draw the graph of the function y = 3x

(b) From the graph, find the value of y, when

(i) x = 3

(ii) x = 5

(iii) x = 6

Discussion

7252.	Wilson's mother is three times as old as him. Five years ago, she was four times as old as Wilson was then.Find their present ages.
Answer» Wilson's mother is three times as old as him. Five years ago, she was four times as old as Wilson was then. Find their present ages.

Discussion

7253.	Question 8 Sum of a−b+ab, b+c−bc and c−a−ac is a) 2c+ab−ac−bc b) 2c−ab−ac−bc c) 2c+ab+ac+bc d) 2c−ab+ac+bc
Answer» Question 8 Sum of $a - b + a b, b + c - b c$ and $c - a - a c$ is a) $2 c + a b - a c - b c$ b) $2 c - a b - a c - b c$ c) $2 c + a b + a c + b c$ d) $2 c - a b + a c + b c$

Discussion

7254.	The measure of two adjacent angle of a parallelogram are in the ratio 3:2 to find the measure of each of the angle of the parallelogram
Answer» The measure of two adjacent angle of a parallelogram are in the ratio $3 : 2$ to find the measure of each of the angle of the parallelogram

Discussion

7255.	If we have measurments of 2 adjacent sides and minimum of ___ angles, we can construct a unique quadrilateral.
Answer» If we have measurments of 2 adjacent sides and minimum of ___ angles, we can construct a unique quadrilateral.

Discussion

7256.	If a cone and a cylinder have the same base and same height, then what is the ratio of the Volume of Cylinder to the Volume of the cone?
Answer» If a cone and a cylinder have the same base and same height, then what is the ratio of the Volume of Cylinder to the Volume of the cone?

Discussion

7257.	Mohd. Aslam purchased a house from Avas vikas parishad on credit . If the cost of the house is Rs 125000 and the parishad charges interest at 12% per annum compounded half-yearly,find the interest paid by aslam after a year and a half.
Answer» Mohd. Aslam purchased a house from Avas vikas parishad on credit . If the cost of the house is Rs 125000 and the parishad charges interest at 12% per annum compounded half-yearly,find the interest paid by aslam after a year and a half.

Discussion

7258.	Verify the property x + y = y + x of rational number by takingx=−23 and y=−56
Answer» Verify the property x + y = y + x of rational number by taking $x = \frac{- 2}{3}$ and $y = \frac{- 5}{6}$

Discussion

7259.	Determine the number of solutions for the given pair of linear equations in two variables:x + 2y + 5 = 0 and -3x – 6y + 1 = 0
Answer» Determine the number of solutions for the given pair of linear equations in two variables: x + 2y + 5 = 0 and -3x – 6y + 1 = 0

Discussion

7260.	If a − b = 5 and ab = 12, find the value of a2 + b2.
Answer» If a − b = 5 and ab = 12, find the value of a² + b².

Discussion

7261.	Question 4 (v) Find the square roots of the following numbers by the Prime Factorization method: 7744
Answer» Question 4 (v) Find the square roots of the following numbers by the Prime Factorization method: 7744

Discussion

7262.	38 Show that the points (-3,-4), (2,6) and (-6,10) are vertices of a right angled triangle.
Answer» 38 Show that the points (-3,-4), (2,6) and (-6,10) are vertices of a right angled triangle.

Discussion

7263.	Which number should be multiplied to 1575 to make it a square number?
Answer» Which number should be multiplied to 1575 to make it a square number?

Discussion

7264.	Given that a circle of radius r is broken down into many small sectors and are made to form a rectangle with length l=πr and width w=r, what is the area of the rectangle?
Answer» Given that a circle of radius $r$ is broken down into many small sectors and are made to form a rectangle with length $l = π r$ and width $w = r$ , what is the area of the rectangle?

Discussion

7265.	Find the total capacity of 11 tankers if the capacity of each tanker is 25 L.
Answer» Find the total capacity of 11 tankers if the capacity of each tanker is 25 L.

Discussion

7266.	How many numbers are divisible by 2 from 1 to 100?
Answer» How many numbers are divisible by 2 from 1 to 100?

Discussion

7267.	Question 3 (d) Using divisibility test, determine whether the given number is divisible by 6: 61233
Answer» Question 3 (d) Using divisibility test, determine whether the given number is divisible by 6: 61233

7267.

Question 3 (d) Using divisibility test, determine whether the given number is divisible by 6: 61233

Answer»

Question 3 (d)

Using divisibility test, determine whether the given number is divisible by 6:

61233

Discussion

7268.	Manju has ₹860 in a box in notes of ₹10 and ₹20. There are 8 notes more of ₹10 than ₹20. How many notes of each are there?
Answer» Manju has ₹860 in a box in notes of ₹10 and ₹20. There are 8 notes more of ₹10 than ₹20. How many notes of each are there?

Discussion

7269.	Find the prime factorisation of 20.
Answer» Find the prime factorisation of 20.

Discussion

7270.	ABC is a triangle right angled at C .interior bisector AD is drawn such that CD=1.5 ,BD=2.5. Find the length of AC
Answer» ABC is a triangle right angled at C .interior bisector AD is drawn such that CD=1.5 ,BD=2.5. Find the length of AC

Discussion

7271.	The volume of a cube is given by the expression (8x^3-12ax^2+6a^2x-a^3. Find the possible expression for the side of the cube.
Answer» The volume of a cube is given by the expression (8x^3-12ax^2+6a^2x-a^3. Find the possible expression for the side of the cube.

Discussion

7272.	For an multiple choice question the number of options given are 4. Find the probability of doing the question wrong.
Answer» For an multiple choice question the number of options given are 4. Find the probability of doing the question wrong.

Discussion

7273.	If U = {a, b, c, d, e, f, g, h}, find the complement of the following sets : (i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = {f, g, h, a}
Answer» If U = {a, b, c, d, e, f, g, h}, find the complement of the following sets : (i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = {f, g, h, a}

7273.

If U = {a, b, c, d, e, f, g, h}, find the complement of the following sets : (i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = {f, g, h, a}

Answer»

If U = {a, b, c, d, e, f, g, h}, find the complement of the following sets :

(i) A = {a, b, c} (ii) B = {d, e, f, g}

(iii) C = {a, c, e, g} (iv) D = {f, g, h, a}

Discussion

7274.	Question 8 Which of the following points lies on the y-axis? A (1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, -1), F(-1, 0), G(0, 5), H(-7, 0) and I(3, 3)
Answer» Question 8 Which of the following points lies on the y-axis? A (1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, -1), F(-1, 0), G(0, 5), H(-7, 0) and I(3, 3)

Discussion

7275.	(64)−23×(14)−3 equals to:
Answer» $(64)^{\frac{- 2}{3}} \times {(\frac{1}{4})}^{- 3}$ equals to:

Discussion

7276.	Prove that any positive integer an comma in cube minus n is divisible by 6
Answer» Prove that any positive integer an comma in cube minus n is divisible by 6

Discussion

7277.	Question 124(iv) Name the property used here: −27+0=0+−27=−27
Answer» Question 124(iv) Name the property used here: $\frac{- 2}{7} + 0 = 0 + \frac{- 2}{7} = - \frac{2}{7}$

Discussion

7278.	Q53. A ball with a diameter of 10 cm is inscribed inside a rectangular box so that it touches all internal faces of the box. What is the volume trapped between the box and the ball? (1) The box is a cube. (2) The surface area of the box is 600 cm2.
Answer» Q53. A ball with a diameter of 10 cm is inscribed inside a rectangular box so that it touches all internal faces of the box. What is the volume trapped between the box and the ball? (1) The box is a cube. (2) The surface area of the box is 600 cm².

7278.

Q53. A ball with a diameter of 10 cm is inscribed inside a rectangular box so that it touches all internal faces of the box. What is the volume trapped between the box and the ball? (1) The box is a cube. (2) The surface area of the box is 600 cm2.

Answer»

Q53. A ball with a diameter of 10 cm is inscribed inside a rectangular box so that it touches all internal faces of the box. What is the volume trapped between the box and the ball?

(1) The box is a cube.

(2) The surface area of the box is 600 cm².

Discussion

7279.	Find the quotient and the remainder when each of the following number is divided by 13: 8,31, 44, 85, 1220, 2011.
Answer» Find the quotient and the remainder when each of the following number is divided by 13: 8,31, 44, 85, 1220, 2011.

7279.

Find the quotient and the remainder when each of the following number is divided by 13: 8,31, 44, 85, 1220, 2011.

Answer»

Find the quotient and the remainder when each of the following number is divided by 13:

8,31, 44, 85, 1220, 2011.

Discussion

7280.	12 What was the day on 27 July 2003 . Also show the calculation.
Answer» 12 What was the day on 27 July 2003 . Also show the calculation.

Discussion

7281.	Locate 4-root 2 on the number line
Answer» Locate 4-root 2 on the number line

Discussion

7282.	Question 31 Fill in the blanks to make the statement true. In a three-dimensional shape, diagonal is a line segment that joins two vertices that do not lie on the ___ face.
Answer» Question 31 Fill in the blanks to make the statement true. In a three-dimensional shape, diagonal is a line segment that joins two vertices that do not lie on the ___ face.

Discussion

7283.	The organiser of an essay competition decided that the winners will get RS 100 and a participant will get 25 if the total money distributed is 3000 find the no of winners if the participants are 63 ( who did not win) In this can we do like this 100x +63*25 = 3000 Thankyou
Answer» The organiser of an essay competition decided that the winners will get RS 100 and a participant will get 25 if the total money distributed is 3000 find the no of winners if the participants are 63 ( who did not win) In this can we do like this 100x +63*25 = 3000 Thankyou

7283.

The organiser of an essay competition decided that the winners will get RS 100 and a participant will get 25 if the total money distributed is 3000 find the no of winners if the participants are 63 ( who did not win) In this can we do like this 100x +63*25 = 3000 Thankyou

Answer»

The organiser of an essay competition decided that the winners will get RS 100 and a participant will get 25 if the total money distributed is 3000 find the no of winners if the participants are 63 ( who did not win)

In this can we do like this

100x +63*25 = 3000

Thankyou

Discussion

7284.	Consider two sets A = {a, b, c}, B = {1, 2, 3, 4, 5, 6, 7}. The number of one-one functions from set A to set B, is
Answer» Consider two sets A = {a, b, c}, B = {1, 2, 3, 4, 5, 6, 7}. The number of one-one functions from set A to set B, is

Discussion

7285.	A 110 m long train travels at 30 km/h. How long will it take to cross a 90 m long platform?
Answer» A $110 m$ long train travels at $30 k m / h$ . How long will it take to cross a $90 m$ long platform?

Discussion

7286.	Carry out the following division:28x4÷56x
Answer» Carry out the following division: $28 x^{4} \div 56 x$

Discussion

7287.	2.How many four digit numbers are there such that when they divided by 101, they have 99 as remainder?
Answer» 2.How many four digit numbers are there such that when they divided by 101, they have 99 as remainder?

Discussion

7288.	A borrowed Rs. 2,500 from B at 12% per annum compound interest. After 2 years, A gave Rs. 2,936 and a watch to B to clear the account. Find the cost of the watch.
Answer» A borrowed Rs. 2,500 from B at 12% per annum compound interest. After 2 years, A gave Rs. 2,936 and a watch to B to clear the account. Find the cost of the watch.

Discussion

7289.	Question 90 (vi) Factorise the following, using the identity, a2−2ab+b2=(a−b)2. p2.y2−2py+1
Answer» Question 90 (vi) Factorise the following, using the identity, $a^{2} - 2 a b + b^{2} = (a - b)^{2}$ . $p^{2} . y^{2} - 2 p y + 1$

Discussion

7290.	Question 8 (i)The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)
Answer» Question 8 (i) The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)

Discussion

7291.	If x^{x\sqrt x}= {(x\sqrt x)}^x , then the value of x is
Answer» If x^{x\sqrt x}= {(x\sqrt x)}^x , then the value of x is

Discussion

7292.	Simplify:(i) 173×173×173+127×127×127173×173-173×127+127×127(ii) 155×155×155-55×55×55155×155+155×55+55×55(iii) 1.2×1.2×1.2-0.2×0.2×0.21.2×1.2+1.2×0.2+0.2×0.2
Answer» Simplify: (i) $\frac{173 \times 173 \times 173 + 127 \times 127 \times 127}{173 \times 173 - 173 \times 127 + 127 \times 127}$ (ii) $\frac{155 \times 155 \times 155 - 55 \times 55 \times 55}{155 \times 155 + 155 \times 55 + 55 \times 55}$ (iii) $\frac{1.2 \times 1.2 \times 1.2 - 0.2 \times 0.2 \times 0.2}{1.2 \times 1.2 + 1.2 \times 0.2 + 0.2 \times 0.2}$

Discussion

7293.	6. Using Euclid division Lemma show that the square of any positive integer is either of the form 3M 3M + 1 for some integer m
Answer» 6. Using Euclid division Lemma show that the square of any positive integer is either of the form 3M 3M + 1 for some integer m

Discussion

7294.	(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°? (b) Can it be an interior angle of a regular polygon? Why?
Answer» (a) Is it possible to have a regular polygon with measure of each exterior angle as 22°? (b) Can it be an interior angle of a regular polygon? Why?

7294.

(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°? (b) Can it be an interior angle of a regular polygon? Why?

Answer»

(a) Is it possible to have a regular polygon with measure of each
exterior angle as 22°?

(b) Can
it be an interior angle of a regular polygon? Why?

Discussion

7295.	If a=5+26, then a+1a=_________.
Answer» If $a = 5 + 2 \sqrt{6}, then a + \frac{1}{a} =_________.$

Discussion

7296.	Question 128(iii) Predicting the ones digit, copy and complete this table and answer the questions that follow. Powers Table X1x2x3x4x5x6x7x8x9x10x1122143184116513261647112881256Ones digits of the powers12,4,6,8 Predict the ones digit in the following. (i)3110 (ii)1210 (iii)1721 (iv)2910
Answer» Question 128(iii) Predicting the ones digit, copy and complete this table and answer the questions that follow. Powers Table $\begin{matrix} X & 1^{x} & 2^{x} & 3^{x} & 4^{x} & 5^{x} & 6^{x} & 7^{x} & 8^{x} & 9^{x} & 10^{x} 1 & 1 & 2 2 & 1 & 4 3 & 1 & 8 4 & 1 & 16 5 & 1 & 32 6 & 1 & 64 7 & 1 & 128 8 & 1 & 256 O n e s d i g i t s o f t h e p o w e r s & 1 & 2, 4, 6, 8 \end{matrix}$ Predict the ones digit in the following. $(i) 31^{10}$ $(i i) 12^{10}$ $(i i i) 17^{21}$ $(i v) 29^{10}$

7296.

Question 128(iii) Predicting the ones digit, copy and complete this table and answer the questions that follow. Powers Table X1x2x3x4x5x6x7x8x9x10x1122143184116513261647112881256Ones digits of the powers12,4,6,8 Predict the ones digit in the following. (i)3110 (ii)1210 (iii)1721 (iv)2910

Answer»

Question 128(iii)

Predicting the ones digit, copy and complete this table and answer the questions that follow.

Powers Table
$\begin{matrix} X & 1^{x} & 2^{x} & 3^{x} & 4^{x} & 5^{x} & 6^{x} & 7^{x} & 8^{x} & 9^{x} & 10^{x} 1 & 1 & 2 2 & 1 & 4 3 & 1 & 8 4 & 1 & 16 5 & 1 & 32 6 & 1 & 64 7 & 1 & 128 8 & 1 & 256 O n e s d i g i t s o f t h e p o w e r s & 1 & 2, 4, 6, 8 \end{matrix}$

Predict the ones digit in the following.
$(i) 31^{10}$
$(i i) 12^{10}$
$(i i i) 17^{21}$
$(i v) 29^{10}$

Discussion

7297.	Which of the following measurements of trapeziums PQRS with PQ\|\|RS are suitable for its construction?
Answer» Which of the following measurements of trapeziums PQRS with PQ\|\|RS are suitable for its construction?

Discussion

7298.	The solution for the equation x+55x+8=1138 is ___.
Answer» The solution for the equation $\frac{x + 5}{5 x + 8} = \frac{11}{38}$ is ___.

Discussion

7299.	The perimeter of following rectangle is:
Answer» The perimeter of following rectangle is:

7299.

The perimeter of following rectangle is:

Answer»

The perimeter of following rectangle is:

Discussion

7300.	Pick the option which matches the two columns.
Answer» Pick the option which matches the two columns.

Discussion

Explore topic-wise InterviewSolutions in .

(a) Draw the graph of the function y = 3x (b) From the graph, find the value of y, when (i) x = 3 (ii) x = 5 (iii) x = 6

Wilson's mother is three times as old as him. Five years ago, she was four times as old as Wilson was then.Find their present ages.​

Question 8 Sum of a−b+ab, b+c−bc and c−a−ac is a) 2c+ab−ac−bc b) 2c−ab−ac−bc c) 2c+ab+ac+bc d) 2c−ab+ac+bc

The measure of two adjacent angle of a parallelogram are in the ratio 3:2 to find the measure of each of the angle of the parallelogram

If we have measurments of 2 adjacent sides and minimum of ___ angles, we can construct a unique quadrilateral.

If a cone and a cylinder have the same base and same height, then what is the ratio of the Volume of Cylinder to the Volume of the cone?

Mohd. Aslam purchased a house from Avas vikas parishad on credit . If the cost of the house is Rs 125000 and the parishad charges interest at 12% per annum compounded half-yearly,find the interest paid by aslam after a year and a half.

Verify the property x + y = y + x of rational number by takingx=−23 and y=−56

Determine the number of solutions for the given pair of linear equations in two variables:x + 2y + 5 = 0 and -3x – 6y + 1 = 0

If a − b = 5 and ab = 12, find the value of a2 + b2.

Question 4 (v) Find the square roots of the following numbers by the Prime Factorization method: 7744

38 Show that the points (-3,-4), (2,6) and (-6,10) are vertices of a right angled triangle.

Which number should be multiplied to 1575 to make it a square number?

Given that a circle of radius r is broken down into many small sectors and are made to form a rectangle with length l=πr and width w=r, what is the area of the rectangle?

Find the total capacity of 11 tankers if the capacity of each tanker is 25 L.

How many numbers are divisible by 2 from 1 to 100?

Question 3 (d) Using divisibility test, determine whether the given number is divisible by 6: 61233

Manju has ₹860 in a box in notes of ₹10 and ₹20. There are 8 notes more of ₹10 than ₹20. How many notes of each are there?

Find the prime factorisation of 20.

ABC is a triangle right angled at C .interior bisector AD is drawn such that CD=1.5 ,BD=2.5. Find the length of AC

The volume of a cube is given by the expression (8x^3-12ax^2+6a^2x-a^3. Find the possible expression for the side of the cube.

For an multiple choice question the number of options given are 4. Find the probability of doing the question wrong.

If U = {a, b, c, d, e, f, g, h}, find the complement of the following sets : (i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = {f, g, h, a}

Question 8 Which of the following points lies on the y-axis? A (1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, -1), F(-1, 0), G(0, 5), H(-7, 0) and I(3, 3)

(64)−23×(14)−3 equals to:

Prove that any positive integer an comma in cube minus n is divisible by 6

Question 124(iv) Name the property used here: −27+0=0+−27=−27

Q53. A ball with a diameter of 10 cm is inscribed inside a rectangular box so that it touches all internal faces of the box. What is the volume trapped between the box and the ball? (1) The box is a cube. (2) The surface area of the box is 600 cm2.

Find the quotient and the remainder when each of the following number is divided by 13: 8,31, 44, 85, 1220, 2011.

12 What was the day on 27 July 2003 . Also show the calculation.

Locate 4-root 2 on the number line

Question 31 Fill in the blanks to make the statement true. In a three-dimensional shape, diagonal is a line segment that joins two vertices that do not lie on the ___ face.

The organiser of an essay competition decided that the winners will get RS 100 and a participant will get 25 if the total money distributed is 3000 find the no of winners if the participants are 63 ( who did not win) ​​​​​​In this can we do like this 100x +63*25 = 3000 Thankyou

Consider two sets A = {a, b, c}, B = {1, 2, 3, 4, 5, 6, 7}. The number of one-one functions from set A to set B, is

A 110 m long train travels at 30 km/h. How long will it take to cross a 90 m long platform?

Carry out the following division:28x4÷56x

2.How many four digit numbers are there such that when they divided by 101, they have 99 as remainder?

A borrowed Rs. 2,500 from B at 12% per annum compound interest. After 2 years, A gave Rs. 2,936 and a watch to B to clear the account. Find the cost of the watch.

Question 90 (vi) Factorise the following, using the identity, a2−2ab+b2=(a−b)2. p2.y2−2py+1

Question 8 (i)The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)

If x^{x\sqrt x}= {(x\sqrt x)}^x , then the value of x is

Simplify:(i) 173×173×173+127×127×127173×173-173×127+127×127(ii) 155×155×155-55×55×55155×155+155×55+55×55(iii) 1.2×1.2×1.2-0.2×0.2×0.21.2×1.2+1.2×0.2+0.2×0.2

6. Using Euclid division Lemma show that the square of any positive integer is either of the form 3M 3M + 1 for some integer m

(a) Is it possible to have a regular polygon with measure of each exterior angle as 22°? (b) Can it be an interior angle of a regular polygon? Why?

If a=5+26, then a+1a=_________.

Question 128(iii) Predicting the ones digit, copy and complete this table and answer the questions that follow. Powers Table X1x2x3x4x5x6x7x8x9x10x1122143184116513261647112881256Ones digits of the powers12,4,6,8 Predict the ones digit in the following. (i)3110 (ii)1210 (iii)1721 (iv)2910

Which of the following measurements of trapeziums PQRS with PQ||RS are suitable for its construction?

The solution for the equation x+55x+8=1138 is ___.

The perimeter of following rectangle is:

Pick the option which matches the two columns.

Wilson's mother is three times as old as him. Five years ago, she was four times as old as Wilson was then.Find their present ages.

The organiser of an essay competition decided that the winners will get RS 100 and a participant will get 25 if the total money distributed is 3000 find the no of winners if the participants are 63 ( who did not win) In this can we do like this 100x +63*25 = 3000 Thankyou