19743 + Interview Questions in Mathematics Page 232 InterviewSolution

11551.

In a“magic square”, the sum of the numbers in each row, ineach column and along the diagonal is the same. Is this a magicsquare? (Along the first row )

Answer»

In a
“magic square”, the sum of the numbers in each row, in
each column and along the diagonal is the same. Is this a magic
square?

			(Along the first row )

Discussion

11552.	Which of the following angles do not make a triangle?
Answer» Which of the following angles do not make a triangle?

Discussion

11553.	86.Solve : log1/2 [(x-1)/(7-x)] > 1
Answer» 86.Solve : log1/2 [(x-1)/(7-x)] > 1

Discussion

11554.	What is the value of 60?
Answer» What is the value of $\frac{6}{0}$ ?

Discussion

11555.	64.A person wrote 15 numbers on a circle. Each number was the arithmetic mean of its two neighbours. If one of these numbers was 6, then the sum of all the numbers written on the circle is (1) 120 (2) 189 (3) 100 (4) 90
Answer» 64.A person wrote 15 numbers on a circle. Each number was the arithmetic mean of its two neighbours. If one of these numbers was 6, then the sum of all the numbers written on the circle is (1) 120 (2) 189 (3) 100 (4) 90

Discussion

11556.	Question 10A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?
Answer» Question 10 A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

Discussion

11557.	Two cubes, each with a 4 cm edge, are placed side by side to form a cuboid. For this cuboid, draw:(i) an oblique sketch(ii) an isometric sketch
Answer» Two cubes, each with a 4 cm edge, are placed side by side to form a cuboid. For this cuboid, draw: (i) an oblique sketch (ii) an isometric sketch

Discussion

11558.	Question 41State whether the following statement is true (T) or false (F).In the equation 2x=4-x, transposing -x to LHS, we get x=4.
Answer» Question 41 State whether the following statement is true (T) or false (F). In the equation 2x=4-x, transposing -x to LHS, we get x=4.

11558.

Question 41State whether the following statement is true (T) or false (F).In the equation 2x=4-x, transposing -x to LHS, we get x=4.

Answer»

Question 41

State whether the following statement is true (T) or false (F).

In the equation 2x=4-x, transposing -x to LHS, we get x=4.

Discussion

11559.	Question 138 (ii) Earth Science The table lists the world's 10 largest deserts. How many times the size of the Gobi Desert is the Namib Desert?
Answer» Question 138 (ii) Earth Science The table lists the world's 10 largest deserts. How many times the size of the Gobi Desert is the Namib Desert?

11559.

Question 138 (ii) Earth Science The table lists the world's 10 largest deserts. How many times the size of the Gobi Desert is the Namib Desert?

Answer»

Question 138 (ii)

Earth Science
The table lists the world's 10 largest deserts.

How many times the size of the Gobi Desert is the Namib Desert?

Discussion

11560.	Question 28In the following question, out of the four options, only one is correct. Write the correct answer.(34)5÷(53)5 is equal to (a) (34÷53)5(b) (34÷53)1(c) (34÷53)0(d) (34÷53)10
Answer» Question 28 In the following question, out of the four options, only one is correct. Write the correct answer. ${(\frac{3}{4})}^{5} \div {(\frac{5}{3})}^{5}$ is equal to (a) ${(\frac{3}{4} \div \frac{5}{3})}^{5}$ (b) ${(\frac{3}{4} \div \frac{5}{3})}^{1}$ (c) ${(\frac{3}{4} \div \frac{5}{3})}^{0}$ (d) ${(\frac{3}{4} \div \frac{5}{3})}^{10}$

11560.

Question 28In the following question, out of the four options, only one is correct. Write the correct answer.(34)5÷(53)5 is equal to (a) (34÷53)5(b) (34÷53)1(c) (34÷53)0(d) (34÷53)10

Answer»

Question 28

In the following question, out of the four options, only one is correct. Write the correct answer.

${(\frac{3}{4})}^{5} \div {(\frac{5}{3})}^{5}$ is equal to

(a) ${(\frac{3}{4} \div \frac{5}{3})}^{5}$

(b) ${(\frac{3}{4} \div \frac{5}{3})}^{1}$

(c) ${(\frac{3}{4} \div \frac{5}{3})}^{0}$

(d) ${(\frac{3}{4} \div \frac{5}{3})}^{10}$

Discussion

11561.	Express the following fractions in decimal form.
Answer» Express the following fractions in decimal form.

11561.

Express the following fractions in decimal form.

Answer»

Express the following fractions in decimal form.

Discussion

11562.	15. In a factory the population of scooter increase from 20000 to 26620 in 3 years find its annual rate of growth
Answer» 15. In a factory the population of scooter increase from 20000 to 26620 in 3 years find its annual rate of growth

Discussion

11563.	36. Prove that tangents at the extremities of a diameter of a circle are parallel.
Answer» 36. Prove that tangents at the extremities of a diameter of a circle are parallel.

Discussion

11564.	Question 36 Fill in the blanks to make the statement true. x - 1 = ............. , when 2x = 2
Answer» Question 36 Fill in the blanks to make the statement true. x - 1 = ............. , when 2x = 2

11564.

Question 36 Fill in the blanks to make the statement true. x - 1 = ............. , when 2x = 2

Answer»

Question 36

Fill in the blanks to make the statement true.

x - 1 = ............. , when 2x = 2

Discussion

11565.	Find the diameters of the circles whose radii are given below. (1) 5 cm (2) 7 cm (3) 2.4 cm (4) 3.7 cm
Answer» Find the diameters of the circles whose radii are given below. (1) 5 cm (2) 7 cm (3) 2.4 cm (4) 3.7 cm

11565.

Find the diameters of the circles whose radii are given below. (1) 5 cm (2) 7 cm (3) 2.4 cm (4) 3.7 cm

Answer»

Find the diameters of the circles whose radii are given below.

(1) 5 cm

(2) 7 cm

(3) 2.4 cm

(4) 3.7 cm

Discussion

11566.	Tap on the shapes that can be divided into two symmetrical parts using a diagonal.
Answer» Tap on the shapes that can be divided into two symmetrical parts using a diagonal.

Discussion

11567.	The mean of n observations is X.if the first item is increased by 1, second by 2 and so on, then find the new mean.
Answer» The mean of n observations is X.if the first item is increased by 1, second by 2 and so on, then find the new mean.

Discussion

11568.	A bus travels the first one third distance at a speed of 10 km hr ,the next one third distance at a speed of 20 km hr and the next one third distance at a speed of 30 km hr .find the average speed of the bus
Answer» A bus travels the first one third distance at a speed of 10 km hr ,the next one third distance at a speed of 20 km hr and the next one third distance at a speed of 30 km hr .find the average speed of the bus

Discussion

11569.	A coin is flipped and a fair dice is rolled simultaneously. John wins the game if he gets tail on the coin and 2 on the dice or head on the coin and 6 on the dice. What would be the value of the probability of John winning the game?
Answer» A coin is flipped and a fair dice is rolled simultaneously. John wins the game if he gets tail on the coin and $2$ on the dice or head on the coin and $6$ on the dice. What would be the value of the probability of John winning the game?

Discussion

11570.	Convert the following base 5 numbers into base 10. (1) 20(5) (2) 44(5) (3) 304(5) (4) 403(5) (5) 1042(5) (6) 2010(5) (7) 2000(5) (8) 2341(5)
Answer» Convert the following base 5 numbers into base 10. (1) 20₍₅₎ (2) 44₍₅₎ (3) 304₍₅₎ (4) 403₍₅₎ (5) 1042₍₅₎ (6) 2010₍₅₎ (7) 2000₍₅₎ (8) 2341₍₅₎

11570.

Convert the following base 5 numbers into base 10. (1) 20(5) (2) 44(5) (3) 304(5) (4) 403(5) (5) 1042(5) (6) 2010(5) (7) 2000(5) (8) 2341(5)

Answer»

Convert the following base 5 numbers into base 10.

(1) 20₍₅₎

(2) 44₍₅₎

(3) 304₍₅₎

(4) 403₍₅₎

(5) 1042₍₅₎

(6) 2010₍₅₎

(7) 2000₍₅₎

(8) 2341₍₅₎

Discussion

11571.	The tens digit of a two digit number is two times the ones digit. If you interchange the digits and add the resulting number to original number you get 66. Find the original number.
Answer» The tens digit of a two digit number is two times the ones digit. If you interchange the digits and add the resulting number to original number you get 66. Find the original number.

Discussion

11572.	Which of the following is a cubic monomial?
Answer» Which of the following is a cubic monomial?

Discussion

11573.	Question 62 600060=6×105+6×102
Answer» Question 62 $600060 = 6 \times 10^{5} + 6 \times 10^{2}$

11573.

Question 62 600060=6×105+6×102

Answer»

Question 62

$600060 = 6 \times 10^{5} + 6 \times 10^{2}$

Discussion

11574.	Question 29The reciprocal of a positive rational number is ___
Answer» Question 29 The reciprocal of a positive rational number is ___

Discussion

11575.	In the convex quadrilateral ABCD the diagonals AC and BD intersect at O and are perpendicular to each other. Prove that the projections of O on the sides of the quadrilateral are the vertices of a cyclic quadrilateral.
Answer» In the convex quadrilateral ABCD the diagonals AC and BD intersect at O and are perpendicular to each other. Prove that the projections of O on the sides of the quadrilateral are the vertices of a cyclic quadrilateral.

Discussion

11576.	If the cost price of 6 pencils is equal to the selling price of 5 pencils, then the gain percent is(a) 10%(b) 20%(c) 15%(d) 25%
Answer» If the cost price of 6 pencils is equal to the selling price of 5 pencils, then the gain percent is (a) 10% (b) 20% (c) 15% (d) 25%

Discussion

11577.	If the area of a triangle is 294 cm2 and its base (b) is 3 times that of height (h), then find the value of h and b.
Answer» If the area of a triangle is $294 c m^{2}$ and its base ( $b$ ) is 3 times that of height ( $h$ ), then find the value of $h$ and $b$ .

Discussion

11578.	Which of the following numbers is divisible by 4?
Answer» Which of the following numbers is divisible by 4?

Discussion

11579.	Succesive discounts of 10% and 50% are equivalent to a single discount of___
Answer» Succesive discounts of $10 %$ and $50 %$ are equivalent to a single discount of___

Discussion

11580.	What is the rate of interest if Rs. 800 earns a simple interest of Rs. 72?
Answer» What is the rate of interest if Rs. 800 earns a simple interest of Rs. 72?

Discussion

11581.	Question 89 (xv)Factorise the following, using the identity, a2+2ab+b2=(a+b)24x4+12x3+9x2
Answer» Question 89 (xv) Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$ $4 x^{4} + 12 x^{3} + 9 x^{2}$

Discussion

11582.	The diameter of a circular park is 14 m. Its area is ____ m2. (Given, π= 22/7) ___
Answer» The diameter of a circular park is 14 m. Its area is ____ $m^{2}$ . (Given, $π$ = 22/7) ___

Discussion

11583.	Let z=1−i√32, i=√−1. Then the value of 21+(z+1z)3+(z2+1z2)3+(z3+1z3)3+⋯+(z21+1z21)3 is
Answer» Let $z = \frac{1 - i \sqrt{3}}{2}, i = \sqrt{- 1} .$ Then the value of $21 + {(z + \frac{1}{z})}^{3} + {(z^{2} + \frac{1}{z^{2}})}^{3} + {(z^{3} + \frac{1}{z^{3}})}^{3} + \dots + {(z^{21} + \frac{1}{z^{21}})}^{3}$ is

Discussion

11584.	In the given figure, P and Q are centres of two circles intersecting at B and C. ACD is a straight line. Then, ∠BQD =
Answer» In the given figure, P and Q are centres of two circles intersecting at B and C. ACD is a straight line. Then, ∠BQD =

Discussion

11585.	33 What will be coefficient of t in the given polynomial? (t-1)(8t-27)
Answer» 33 What will be coefficient of t in the given polynomial? (t-1)(8t-27)

Discussion

11586.	Solve the following problems.Hari took a loan of Rs. 6,000 from a finance company at 18% p.a simple interest. If he repays both principal and interest after 3 years and 8 months, how much money will he pay?
Answer» Solve the following problems. Hari took a loan of Rs. 6,000 from a finance company at 18% p.a simple interest. If he repays both principal and interest after 3 years and 8 months, how much money will he pay?

11586.

Solve the following problems.Hari took a loan of Rs. 6,000 from a finance company at 18% p.a simple interest. If he repays both principal and interest after 3 years and 8 months, how much money will he pay?

Answer»

Solve the following problems.

Hari took a loan of Rs. 6,000 from a finance company at 18% p.a simple interest. If he repays both principal and interest after 3 years and 8 months, how much money will he pay?

Discussion

11587.	2/3 of a number is less than the original number by 20.Then which is the number
Answer» 2/3 of a number is less than the original number by 20.Then which is the number

Discussion

11588.	Question 159(v) Find a single repeater machine that will do the same work as each hook-up.
Answer» Question 159(v) Find a single repeater machine that will do the same work as each hook-up.

11588.

Question 159(v) Find a single repeater machine that will do the same work as each hook-up.

Answer»

Question 159(v)

Find a single repeater machine that will do the same work as each hook-up.

Discussion

11589.	If the Simple interest earned on a sum of ₹ 20,000 from a bank in a period of 2 years is ₹ 4,000. Find the rate of interest (in percentage).10
Answer» If the Simple interest earned on a sum of ₹ 20,000 from a bank in a period of 2 years is ₹ 4,000. Find the rate of interest (in percentage). 10

Discussion

11590.	A train 125 m long crosses an equally long train at rest in 10 s. What is the speed of the train in kmph?90
Answer» A train 125 m long crosses an equally long train at rest in 10 s. What is the speed of the train in kmph? 90

Discussion

11591.	If all the altitudes of a triangle are equal , prove that the triangle is equilateral .
Answer» If all the altitudes of a triangle are equal , prove that the triangle is equilateral .

Discussion

11592.	A pair of dice is rolled a 1000 times. The results are as shown. 123456134262328363022535203320233252736232330430322435233153328302520266263521282531 (i) What is the probability of getting a double? (ii) What is the probability of getting a 6 on at least one of the two dice? (iii) What is the probability of getting a 6 on exactly one dice? [4 MARKS]
Answer» A pair of dice is rolled a 1000 times. The results are as shown. $\begin{matrix} 1 & 2 & 3 & 4 & 5 & 6 1 & 34 & 26 & 23 & 28 & 36 & 30 2 & 25 & 35 & 20 & 33 & 20 & 23 3 & 25 & 27 & 36 & 23 & 23 & 30 4 & 30 & 32 & 24 & 35 & 23 & 31 5 & 33 & 28 & 30 & 25 & 20 & 26 6 & 26 & 35 & 21 & 28 & 25 & 31 \end{matrix}$ (i) What is the probability of getting a double? (ii) What is the probability of getting a 6 on at least one of the two dice? (iii) What is the probability of getting a 6 on exactly one dice? [4 MARKS]

11592.

A pair of dice is rolled a 1000 times. The results are as shown. 123456134262328363022535203320233252736232330430322435233153328302520266263521282531 (i) What is the probability of getting a double? (ii) What is the probability of getting a 6 on at least one of the two dice? (iii) What is the probability of getting a 6 on exactly one dice? [4 MARKS]

Answer»

A pair of dice is rolled a 1000 times. The results are as shown.

$\begin{matrix} 1 & 2 & 3 & 4 & 5 & 6 1 & 34 & 26 & 23 & 28 & 36 & 30 2 & 25 & 35 & 20 & 33 & 20 & 23 3 & 25 & 27 & 36 & 23 & 23 & 30 4 & 30 & 32 & 24 & 35 & 23 & 31 5 & 33 & 28 & 30 & 25 & 20 & 26 6 & 26 & 35 & 21 & 28 & 25 & 31 \end{matrix}$

(i) What is the probability of getting a double?
(ii) What is the probability of getting a 6 on at least one of the two dice?
(iii) What is the probability of getting a 6 on exactly one dice? [4 MARKS]

Discussion

11593.	The ending digit of the square of a number whose units digit is '5' is5
Answer» The ending digit of the square of a number whose units digit is '5' is 5

Discussion

11594.	The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1 : 2 : 3 : 4. If the price fetched is Rs. 70,000 less than the original price, find the original price.
Answer» The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1 : 2 : 3 : 4. If the price fetched is Rs. 70,000 less than the original price, find the original price.

Discussion

11595.	What is the quotient when (+10) is divided by (−2)?
Answer» What is the quotient when (+10) is divided by (−2)?

Discussion

11596.	What should be added to−38 to get 516?
Answer» What should be added to $\frac{- 3}{8} to get \frac{5}{16} ?$

Discussion

11597.	In an equilateral ∆ABC, AD ⊥ BC prove that AD2 = 3BD2.
Answer» In an equilateral ∆ABC, AD ⊥ BC prove that AD² = 3BD².

Discussion

11598.	Question 117Sita is practicing basket ball. She has managed to score 32 baskets in 35 attempts. What is her success rate in percentage ?
Answer» Question 117 Sita is practicing basket ball. She has managed to score 32 baskets in 35 attempts. What is her success rate in percentage ?

11598.

Question 117Sita is practicing basket ball. She has managed to score 32 baskets in 35 attempts. What is her success rate in percentage ?

Answer»

Question 117

Sita is practicing basket ball. She has managed to score 32 baskets in 35 attempts. What is her success rate in percentage ?

Discussion

11599.	18 Simplify the following (a) (5-47)(7+35) (b) (11-4)(2+3) (c) (65-23)(35-25) (d) (112+2)(2+32)
Answer» 18 Simplify the following (a) (5-47)(7+35) (b) (11-4)(2+3) (c) (65-23)(35-25) (d) (112+2)(2+32)

Discussion

11600.

To find the time to travel a distance.Find the time, if the distance travelled is 50km and the speed is 50km/hr.

Answer»

To find the time to travel a distance.

Find the time, if the distance travelled is 50km and the speed is 50km/hr.

Discussion

Explore topic-wise InterviewSolutions in .

In a“magic square”, the sum of the numbers in each row, ineach column and along the diagonal is the same. Is this a magicsquare? (Along the first row )

Which of the following angles do not make a triangle?

86.Solve : log1/2 [(x-1)/(7-x)] > 1

What is the value of 60?

64.A person wrote 15 numbers on a circle. Each number was the arithmetic mean of its two neighbours. If one of these numbers was 6, then the sum of all the numbers written on the circle is (1) 120 (2) 189 (3) 100 (4) 90

Question 10A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

Two cubes, each with a 4 cm edge, are placed side by side to form a cuboid. For this cuboid, draw:(i) an oblique sketch(ii) an isometric sketch

Question 41State whether the following statement is true (T) or false (F).In the equation 2x=4-x, transposing -x to LHS, we get x=4.

Question 138 (ii) Earth Science The table lists the world's 10 largest deserts. How many times the size of the Gobi Desert is the Namib Desert?

Question 28In the following question, out of the four options, only one is correct. Write the correct answer.(34)5÷(53)5 is equal to (a) (34÷53)5(b) (34÷53)1(c) (34÷53)0(d) (34÷53)10

Express the following fractions in decimal form.

15. In a factory the population of scooter increase from 20000 to 26620 in 3 years find its annual rate of growth

36. Prove that tangents at the extremities of a diameter of a circle are parallel.

Question 36 Fill in the blanks to make the statement true. x - 1 = ............. , when 2x = 2

Find the diameters of the circles whose radii are given below. (1) 5 cm (2) 7 cm (3) 2.4 cm (4) 3.7 cm

Tap on the shapes that can be divided into two symmetrical parts using a diagonal.

The mean of n observations is X.if the first item is increased by 1, second by 2 and so on, then find the new mean.

A bus travels the first one third distance at a speed of 10 km hr ,the next one third distance at a speed of 20 km hr and the next one third distance at a speed of 30 km hr .find the average speed of the bus

A coin is flipped and a fair dice is rolled simultaneously. John wins the game if he gets tail on the coin and 2 on the dice or head on the coin and 6 on the dice. What would be the value of the probability of John winning the game?

Convert the following base 5 numbers into base 10. (1) 20(5) (2) 44(5) (3) 304(5) (4) 403(5) (5) 1042(5) (6) 2010(5) (7) 2000(5) (8) 2341(5)

The tens digit of a two digit number is two times the ones digit. If you interchange the digits and add the resulting number to original number you get 66. Find the original number.

Which of the following is a cubic monomial?

Question 62 600060=6×105+6×102

Question 29The reciprocal of a positive rational number is ___

In the convex quadrilateral ABCD the diagonals AC and BD intersect at O and are perpendicular to each other. Prove that the projections of O on the sides of the quadrilateral are the vertices of a cyclic quadrilateral.

If the cost price of 6 pencils is equal to the selling price of 5 pencils, then the gain percent is(a) 10%(b) 20%(c) 15%(d) 25%

If the area of a triangle is 294 cm2 and its base (b) is 3 times that of height (h), then find the value of h and b.

Which of the following numbers is divisible by 4?

Succesive discounts of 10% and 50% are equivalent to a single discount of___

What is the rate of interest if Rs. 800 earns a simple interest of Rs. 72?

Question 89 (xv)Factorise the following, using the identity, a2+2ab+b2=(a+b)24x4+12x3+9x2

The diameter of a circular park is 14 m. Its area is ____ m2. (Given, π= 22/7) ___

Let z=1−i√32, i=√−1. Then the value of 21+(z+1z)3+(z2+1z2)3+(z3+1z3)3+⋯+(z21+1z21)3 is

In the given figure, P and Q are centres of two circles intersecting at B and C. ACD is a straight line. Then, ∠BQD =

33 What will be coefficient of t in the given polynomial? (t-1)(8t-27)

Solve the following problems.Hari took a loan of Rs. 6,000 from a finance company at 18% p.a simple interest. If he repays both principal and interest after 3 years and 8 months, how much money will he pay?

2/3 of a number is less than the original number by 20.Then which is the number

Question 159(v) Find a single repeater machine that will do the same work as each hook-up.

If the Simple interest earned on a sum of ₹ 20,000 from a bank in a period of 2 years is ₹ 4,000. Find the rate of interest (in percentage).10

A train 125 m long crosses an equally long train at rest in 10 s. What is the speed of the train in kmph?90

If all the altitudes of a triangle are equal , prove that the triangle is equilateral .

The ending digit of the square of a number whose units digit is '5' is5

The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1 : 2 : 3 : 4. If the price fetched is Rs. 70,000 less than the original price, find the original price.

What is the quotient when (+10) is divided by (−2)?

What should be added to−38 to get 516?

In an equilateral ∆ABC, AD ⊥ BC prove that AD2 = 3BD2.

Question 117Sita is practicing basket ball. She has managed to score 32 baskets in 35 attempts. What is her success rate in percentage ?

18 Simplify the following (a) (5-47)(7+35) (b) (11-4)(2+3) (c) (65-23)(35-25) (d) (112+2)(2+32)

To find the time to travel a distance.Find the time, if the distance travelled is 50km and the speed is 50km/hr.

The diameter of a circular park is 14 m. Its area is __ m2. (Given, π= 22/7) _