25365 + Interview Questions in Mathematics Page 242 InterviewSolution

12051.	In the given figure, if lines l and m are parallel lines, then x =(a) 70°(b) 100°(c) 40°(d) 30°
Answer» In the given figure, if lines l and m are parallel lines, then x = (a) 70° (b) 100° (c) 40° (d) 30°

Discussion

12052.	Fill in the BlanksQuestion 18All points with Y-coordinates as zero lie on the ___.
Answer» Fill in the Blanks Question 18 All points with Y-coordinates as zero lie on the ___.

Discussion

12053.	The selling price of 15 articles is equal to the cost price of 12 articles. Find the gain or loss as percent.
Answer» The selling price of $15$ articles is equal to the cost price of $12$ articles. Find the gain or loss as percent.

Discussion

12054.	The angles of a quadrilateral are the ratio 3:4:6:11 . Find the angles of the quadrilateral.
Answer» The angles of a quadrilateral are the ratio 3:4:6:11 . Find the angles of the quadrilateral.

Discussion

12055.	Question 1 (iii)What could be the possible ‘one’s’ digits of the square root of each of the following numbers:998001
Answer» Question 1 (iii) What could be the possible ‘one’s’ digits of the square root of each of the following numbers: 998001

12055.

Question 1 (iii)What could be the possible ‘one’s’ digits of the square root of each of the following numbers:998001

Answer»

Question 1 (iii)

What could be the possible ‘one’s’ digits of the square root of each of the following numbers:

998001

Discussion

12056.	Q. Number series 2, 12, 36, 80, 152, 252 (1) 252 (2) 152 (3) 12 (4) 40
Answer» Q. Number series 2, 12, 36, 80, 152, 252 (1) 252 (2) 152 (3) 12 (4) 40

Discussion

12057.	Broker A earns 3% commission and Broker B earns 4%. Broker A sold 50 houses in a month for ₹ 24,00,000 each and Broker B sold 45 houses in a month for ₹ 20,00,000 each.How much do Broker A and Broker B earn in a month combined?
Answer» Broker A earns 3% commission and Broker B earns 4%. Broker A sold 50 houses in a month for ₹ 24,00,000 each and Broker B sold 45 houses in a month for ₹ 20,00,000 each. How much do Broker A and Broker B earn in a month combined?

Discussion

12058.	Question 7(i)Simplify:25×t−45−3×10×t−8 where,(t≠0)
Answer» Question 7(i) Simplify: $\frac{25 \times t^{- 4}}{5^{- 3} \times 10 \times t^{- 8}} w h e r e, (t \neq 0)$

Discussion

12059.	Question 21(ii)Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 12?
Answer» Question 21(ii) Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 12?

Discussion

12060.	If a,b,c are in A.P , prove that :(I) (a+2b-c)(2b+c-a)(c+a-b)=4abc(II) (a^2)(b+c),(b^2)(c+a),(c^2)(a+b) are also in A.P(III) (1/bc) ,(1/ca),(1/ab) are also in A.P
Answer» If a,b,c are in A.P , prove that : (I) (a+2b-c)(2b+c-a)(c+a-b)=4abc (II) (a^2)(b+c),(b^2)(c+a),(c^2)(a+b) are also in A.P (III) (1/bc) ,(1/ca),(1/ab) are also in A.P

Discussion

12061.	23. If a b c and u v w are the complex numbers representing the vertices of two triangles such that c= (1- r) a + rb and w= (1-r) u + rv where r is a a complex number then two triangles are
Answer» 23. If a b c and u v w are the complex numbers representing the vertices of two triangles such that c= (1- r) a + rb and w= (1-r) u + rv where r is a a complex number then two triangles are

Discussion

12062.	If ⎡⎢⎢⎣{(17)−2}13⎤⎥⎥⎦14=7m then find the value of m.
Answer» If ${⎡ ⎢⎢ ⎣ {(\frac{1}{7})^{- 2}}^{\frac{1}{3}} ⎤ ⎥⎥ ⎦}^{\frac{1}{4}} = 7^{m}$ then find the value of m.

Discussion

12063.	The given pictograph shows the number of cars sold in many showrooms in 4 months.The number of cars sold in the month of April is :
Answer» The given pictograph shows the number of cars sold in many showrooms in 4 months. The number of cars sold in the month of April is :

Discussion

12064.	If we start at (0,0) on a rectangular coordinate system and move 5 right and 6 down, where are we?
Answer» If we start at (0,0) on a rectangular coordinate system and move 5 right and 6 down, where are we?

Discussion

12065.	Earthworms decide to protest against the climate change. They occupy an area where no humans can come.The earthworms occupy the 'Green' coloured portion as shown in the figure. Find the area of the green portion that earthworms occupy. (Take π=227)
Answer» Earthworms decide to protest against the climate change. They occupy an area where no humans can come. The earthworms occupy the 'Green' coloured portion as shown in the figure. Find the area of the green portion that earthworms occupy. (Take $π = \frac{22}{7}$ )

Discussion

12066.	Calculate the amount on a sum of ₹2000 for one year at an interest rate of 12% per annum compounded every 2 months.
Answer» Calculate the amount on a sum of ₹2000 for one year at an interest rate of 12% per annum compounded every 2 months.

Discussion

12067.	20. qx+py-(p+q)=0. ax+by-[ap+bq2÷pq]=0
Answer» 20. qx+py-(p+q)=0. ax+by-[ap+bq2÷pq]=0

Discussion

12068.	Question 66Using the frequency table, answer the following:Marks(Obtained out of 10)4578910Frequency51086129The frequency of less than 8 marks is 29. ?
Answer» Question 66 Using the frequency table, answer the following: $\begin{matrix} Marks(Obtained out of 10) & 4 & 5 & 7 & 8 & 9 & 10 Frequency & 5 & 10 & 8 & 6 & 12 & 9 \end{matrix}$ The frequency of less than 8 marks is 29. ?

12068.

Question 66Using the frequency table, answer the following:Marks(Obtained out of 10)4578910Frequency51086129The frequency of less than 8 marks is 29. ?

Answer»

Question 66

Using the frequency table, answer the following:

$\begin{matrix} Marks(Obtained out of 10) & 4 & 5 & 7 & 8 & 9 & 10 Frequency & 5 & 10 & 8 & 6 & 12 & 9 \end{matrix}$

The frequency of less than 8 marks is 29. ?

Discussion

12069.	Show that n²-1 is divisible by 8 where n is odd positive integer.
Answer» Show that n²-1 is divisible by 8 where n is odd positive integer.

Discussion

12070.	Question 1(iii)Carry out the following divisions.66pq2r3÷11qr2
Answer» Question 1(iii) Carry out the following divisions. $66 p q^{2} r^{3} \div 11 q r^{2}$

Discussion

12071.	Question 49 In the question given below, fill in the blanks to make the statement true: 1032−1022= ___ ×(103−102)= ___ .
Answer» Question 49 In the question given below, fill in the blanks to make the statement true: $103^{2} - 102^{2} =$ ___ $\times (103 - 102) =$ ___ .

Discussion

12072.	One of the factors of x2+1x2+2−2x−2x is:
Answer» One of the factors of $x^{2} + \frac{1}{x^{2}} + 2 - 2 x - \frac{2}{x}$ is:

Discussion

12073.	If two-sevenths of 14 apples are spoilt, how many are left?
Answer» If two-sevenths of 14 apples are spoilt, how many are left?

Discussion

12074.	In a triangle, each of the bigger angles is twice the third angle. Find the angles.
Answer» In a triangle, each of the bigger angles is twice the third angle. Find the angles.

Discussion

12075.	Divide (24xy2z3) by (6yz2).
Answer» $D i v i d e (24 x y^{2} z^{3}) b y (6 y z^{2}) .$

Discussion

12076.	Hermaan scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of questions he answered wrong is 1 less than the number of questions he answered correct, then find the number of questions he answered correct.
Answer» Hermaan scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of questions he answered wrong is 1 less than the number of questions he answered correct, then find the number of questions he answered correct.

Discussion

12077.	Perform the multiplication of the two numbers and guess the number that will fit in the box.
Answer» Perform the multiplication of the two numbers and guess the number that will fit in the box.

Discussion

12078.	Arrange the numbers in ascending order (Starting from the top)
Answer» Arrange the numbers in ascending order (Starting from the top)

Discussion

12079.	Question 7(ii)Can there be a time-temperature graph as follows? Justify your answer.
Answer» Question 7(ii) Can there be a time-temperature graph as follows? Justify your answer.

Discussion

12080.	In a race of 1 km,P gives Q a start of 100m and still wins by 20s,but if P gives Q a start of 25s,Q wins by 50m.Find the time taken by P to run 1 km
Answer» In a race of 1 km,P gives Q a start of 100m and still wins by 20s,but if P gives Q a start of 25s,Q wins by 50m.Find the time taken by P to run 1 km

Discussion

12081.	Question 40 A trapezium with 3 equal sides and one side double the equal side, can be divided into ___ equilateral triangles of ___ area.
Answer» Question 40 A trapezium with 3 equal sides and one side double the equal side, can be divided into ___ equilateral triangles of ___ area.

12081.

Question 40 A trapezium with 3 equal sides and one side double the equal side, can be divided into _ equilateral triangles of _ area.

Answer»

Question 40

A trapezium with 3 equal sides and one side double the equal side, can be divided into ___ equilateral triangles of ___ area.

Discussion

12082.	In the given figure, O is a point in the interior of square ABCD such that ΔOAB is an equilateral triangle. Show that ΔOCD is an isosceles triangle.
Answer» In the given figure, O is a point in the interior of square ABCD such that ΔOAB is an equilateral triangle. Show that ΔOCD is an isosceles triangle.

Discussion

12083.	Question 7 Write the correct answer from the given four options. The one's digit of the cube of 23 is a) 6 b) 7 c) 3 d) 9
Answer» Question 7 Write the correct answer from the given four options. The one's digit of the cube of 23 is a) 6 b) 7 c) 3 d) 9

12083.

Question 7 Write the correct answer from the given four options. The one's digit of the cube of 23 is a) 6 b) 7 c) 3 d) 9

Answer»

Question 7

Write the correct answer from the given four options.

The one's digit of the cube of 23 is

a) 6
b) 7
c) 3
d) 9

Discussion

12084.	(i) solve 12x² - 9y + 129 - 16x²(ii)find the sum of 9my + 10my² and -9xy - 20my²(iii) 56c - 10c² is subtracted from the sum of 10c² and (-96c² -23c). Find the desired result.
Answer» (i) solve 12x² - 9y + 129 - 16x² (ii)find the sum of 9my + 10my² and -9xy - 20my² (iii) 56c - 10c² is subtracted from the sum of 10c² and (-96c² -23c). Find the desired result.

12084.

(i) solve 12x² - 9y + 129 - 16x²(ii)find the sum of 9my + 10my² and -9xy - 20my²(iii) 56c - 10c² is subtracted from the sum of 10c² and (-96c² -23c). Find the desired result.

Answer»

(i) solve 12x² - 9y + 129 - 16x²

(ii)find the sum of 9my + 10my² and -9xy - 20my²

(iii) 56c - 10c² is subtracted from the sum of 10c² and (-96c² -23c). Find the desired result.

Discussion

12085.	161118171513121914In the given magic sqaure, the magic sum is ______.45
Answer» $\begin{matrix} 16 & 11 & 18 17 & 15 & 13 12 & 19 & 14 \end{matrix}$ In the given magic sqaure, the magic sum is ______. 45

Discussion

12086.	A solid cube is cut into 27 small cubes of equal volume. Find the ratio of the surface areas of the given cube and that of one small cube
Answer» A solid cube is cut into 27 small cubes of equal volume. Find the ratio of the surface areas of the given cube and that of one small cube

Discussion

12087.	Given that a circle has a radius r and a sector that subtends an acute angle θ at the centre of the circle, then the perimeter of the sector is given by which of the following?
Answer» Given that a circle has a radius $r$ and a sector that subtends an acute angle $θ$ at the centre of the circle, then the perimeter of the sector is given by which of the following?

Discussion

12088.	In a ΔPQR, N is a point no PR, such that QN⊥PR.NR=QN2 , then prove that ∠PQR=90∘
Answer» In a $Δ$ PQR, N is a point no PR, such that $Q N ⊥ P R . N R = Q N^{2}$ , then prove that $∠ P Q R = 90^{\circ}$

Discussion

12089.	Find the product of :(1) 7 × 8(2) 12 × 10
Answer» Find the product of : (1) 7 $\times$ 8 (2) 12 $\times$ 10

Discussion

12090.	The cross section of a piece of metal of length 4 m is shown. If one cubic cm of the metal weighs 6.6 grams , find the approximate weight of the piece of metal
Answer» The cross section of a piece of metal of length 4 m is shown. If one cubic cm of the metal weighs 6.6 grams , find the approximate weight of the piece of metal

12090.

The cross section of a piece of metal of length 4 m is shown. If one cubic cm of the metal weighs 6.6 grams , find the approximate weight of the piece of metal

Answer»

The cross section of a piece of metal of length 4 m is shown. If one cubic cm of the metal weighs 6.6 grams , find the approximate weight of the piece of metal

Discussion

12091.	The line graph given below shows the yearly sales figures for a manufacturing company during the last five years.Study the above graph carefully and answer the questions given below:(i) What were the sales in (a) 2013 (b) 2015 (c) 2016?(ii) Compute the difference between the sales in 2012 and 2016?(iii) In which year was there the greatest difference between the sales as compared to its previous year?
Answer» The line graph given below shows the yearly sales figures for a manufacturing company during the last five years. Study the above graph carefully and answer the questions given below: (i) What were the sales in (a) 2013 (b) 2015 (c) 2016? (ii) Compute the difference between the sales in 2012 and 2016? (iii) In which year was there the greatest difference between the sales as compared to its previous year?

Discussion

12092.	Abcd is a parallelogram in which p q r s is the midpoints of sides ab bc cd and ad respectively. Prove that pqrs is a rhombus
Answer» Abcd is a parallelogram in which p q r s is the midpoints of sides ab bc cd and ad respectively. Prove that pqrs is a rhombus

Discussion

12093.	Simplify (25÷28)5×2−5
Answer» Simplify ${(2^{5} \div 2^{8})}^{5} \times 2^{- 5}$

Discussion

12094.	Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m+1 or 9m+8. [4 MARKS]
Answer» Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m+1 or 9m+8. [4 MARKS]

Discussion

12095.	What is the coefficient of x in 10x^3
Answer» What is the coefficient of x in 10x^3

Discussion

12096.	If Chameli had Rs 600left after spending 75% of her money, how much did she have in thebeginning?
Answer» If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?

Discussion

12097.	Question 4(iii) The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions: Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
Answer» Question 4(iii) The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions: Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

Discussion

12098.	Construct ∆XYZ such that XY = 8 cm, ∠X = 40°, and ∠Y = 95°. Find the length of YZ.
Answer» Construct ∆XYZ such that XY = 8 cm, ∠X = 40°, and ∠Y = 95°. Find the length of YZ.

Discussion

12099.	a/b where b ≠ 0 is less than a. Is this statement true?
Answer» a/b where b $\neq$ 0 is less than a. Is this statement true?

Discussion

12100.	(6.6 x 105) x (7.7 x 109)
Answer» (6.6 x 105) x (7.7 x 109)

Discussion

Explore topic-wise InterviewSolutions in .

In the given figure, if lines l and m are parallel lines, then x =(a) 70°(b) 100°(c) 40°(d) 30°

Fill in the BlanksQuestion 18All points with Y-coordinates as zero lie on the ___.

The selling price of 15 articles is equal to the cost price of 12 articles. Find the gain or loss as percent.

The angles of a quadrilateral are the ratio 3:4:6:11 . Find the angles of the quadrilateral.

Question 1 (iii)What could be the possible ‘one’s’ digits of the square root of each of the following numbers:998001

Q. Number series 2, 12, 36, 80, 152, 252 (1) 252 (2) 152 (3) 12 (4) 40

Broker A earns 3% commission and Broker B earns 4%. Broker A sold 50 houses in a month for ₹ 24,00,000 each and Broker B sold 45 houses in a month for ₹ 20,00,000 each.How much do Broker A and Broker B earn in a month combined?

Question 7(i)Simplify:25×t−45−3×10×t−8 where,(t≠0)

Question 21(ii)Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 12?

If a,b,c are in A.P , prove that :(I) (a+2b-c)(2b+c-a)(c+a-b)=4abc(II) (a^2)(b+c),(b^2)(c+a),(c^2)(a+b) are also in A.P(III) (1/bc) ,(1/ca),(1/ab) are also in A.P

23. If a b c and u v w are the complex numbers representing the vertices of two triangles such that c= (1- r) a + rb and w= (1-r) u + rv where r is a a complex number then two triangles are

If ⎡⎢⎢⎣{(17)−2}13⎤⎥⎥⎦14=7m then find the value of m.

The given pictograph shows the number of cars sold in many showrooms in 4 months.The number of cars sold in the month of April is :

If we start at (0,0) on a rectangular coordinate system and move 5 right and 6 down, where are we?

Earthworms decide to protest against the climate change. They occupy an area where no humans can come.The earthworms occupy the 'Green' coloured portion as shown in the figure. Find the area of the green portion that earthworms occupy. (Take π=227)

Calculate the amount on a sum of ₹2000 for one year at an interest rate of 12% per annum compounded every 2 months.

20. qx+py-(p+q)=0. ax+by-[ap+bq2÷pq]=0

Question 66Using the frequency table, answer the following:Marks(Obtained out of 10)4578910Frequency51086129The frequency of less than 8 marks is 29. ?

Show that n²-1 is divisible by 8 where n is odd positive integer.

Question 1(iii)Carry out the following divisions.66pq2r3÷11qr2

Question 49 In the question given below, fill in the blanks to make the statement true: 1032−1022= ___ ×(103−102)= ___ .

One of the factors of x2+1x2+2−2x−2x is:

If two-sevenths of 14 apples are spoilt, how many are left?

In a triangle, each of the bigger angles is twice the third angle. Find the angles.

Divide (24xy2z3) by (6yz2).

Hermaan scored 40 marks in a test, getting 4 marks for each right answer and losing 1 mark for each wrong answer. If the number of questions he answered wrong is 1 less than the number of questions he answered correct, then find the number of questions he answered correct.

Perform the multiplication of the two numbers and guess the number that will fit in the box.

Arrange the numbers in ascending order (Starting from the top)

Question 7(ii)Can there be a time-temperature graph as follows? Justify your answer.

In a race of 1 km,P gives Q a start of 100m and still wins by 20s,but if P gives Q a start of 25s,Q wins by 50m.Find the time taken by P to run 1 km

Question 40 A trapezium with 3 equal sides and one side double the equal side, can be divided into ___ equilateral triangles of ___ area.

In the given figure, O is a point in the interior of square ABCD such that ΔOAB is an equilateral triangle. Show that ΔOCD is an isosceles triangle.

Question 7 Write the correct answer from the given four options. The one's digit of the cube of 23 is a) 6 b) 7 c) 3 d) 9

(i) solve 12x² - 9y + 129 - 16x²(ii)find the sum of 9my + 10my² and -9xy - 20my²(iii) 56c - 10c² is subtracted from the sum of 10c² and (-96c² -23c). Find the desired result.

161118171513121914In the given magic sqaure, the magic sum is ______.45

A solid cube is cut into 27 small cubes of equal volume. Find the ratio of the surface areas of the given cube and that of one small cube

Given that a circle has a radius r and a sector that subtends an acute angle θ at the centre of the circle, then the perimeter of the sector is given by which of the following?

In a ΔPQR, N is a point no PR, such that QN⊥PR.NR=QN2 , then prove that ∠PQR=90∘

Find the product of :(1) 7 × 8(2) 12 × 10

The cross section of a piece of metal of length 4 m is shown. If one cubic cm of the metal weighs 6.6 grams , find the approximate weight of the piece of metal

Abcd is a parallelogram in which p q r s is the midpoints of sides ab bc cd and ad respectively. Prove that pqrs is a rhombus

Simplify (25÷28)5×2−5

Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m+1 or 9m+8. [4 MARKS]

What is the coefficient of x in 10x^3

If Chameli had Rs 600left after spending 75% of her money, how much did she have in thebeginning?

Construct ∆XYZ such that XY = 8 cm, ∠X = 40°, and ∠Y = 95°. Find the length of YZ.

a/b where b ≠ 0 is less than a. Is this statement true?

(6.6 x 105) x (7.7 x 109)

Question 49 In the question given below, fill in the blanks to make the statement true: 1032−1022= _ ×(103−102)= _ .

Question 40 A trapezium with 3 equal sides and one side double the equal side, can be divided into _ equilateral triangles of _ area.