19743 + Interview Questions in Mathematics Page 126 InterviewSolution

6251.	−13+(−69)+57−(−89)−(53+(−49))=
Answer» $- 13 + (- 69) + 57 - (- 89) - (53 + (- 49)) =$

Discussion

6252.	Question 25Discount = Discount % of ___
Answer» Question 25 Discount = Discount % of ___

6252.

Question 25Discount = Discount % of ___

Answer»

Question 25

Discount = Discount % of ___

Discussion

6253.	Jack's truck uses an average of 1 gallon of fuel for covering a distance of 8 miles. With 6 gallons of fuel in the tank, distance covered by him before needing to stop for fuel is miles
Answer» Jack's truck uses an average of 1 gallon of fuel for covering a distance of 8 miles. With 6 gallons of fuel in the tank, distance covered by him before needing to stop for fuel is miles

Discussion

6254.	A school has a strength of 3000 students the alongside Pie graph shows the intercepts of student in different subjects the number of student interested in English is
Answer» A school has a strength of 3000 students the alongside Pie graph shows the intercepts of student in different subjects the number of student interested in English is

Discussion

6255.	Choose the option which mentions the colored part of the figure in terms of a fraction.
Answer» Choose the option which mentions the colored part of the figure in terms of a fraction.

Discussion

6256.	In a box, there are 3 blue, 4 red, and 5 green balls. What is the probability of picking up three balls such that there is 1 ball of each colour?
Answer» In a box, there are 3 blue, 4 red, and 5 green balls. What is the probability of picking up three balls such that there is 1 ball of each colour?

Discussion

6257.	Express 343×243 in exponential form:
Answer» Express $343 \times 243$ in exponential form:

Discussion

6258.	Question 33 Annual salary at 'r' rupees per month along with a festival bonus of Rs. 2000 is ___ .
Answer» Question 33 Annual salary at 'r' rupees per month along with a festival bonus of Rs. 2000 is ___ .

6258.

Question 33 Annual salary at 'r' rupees per month along with a festival bonus of Rs. 2000 is ___ .

Answer»

Question 33

Annual salary at 'r' rupees per month along with a festival bonus of Rs. 2000 is ___ .

Discussion

6259.	(-100) ÷ (-20) is _____.
Answer» (-100) ÷ (-20) is _____.

Discussion

6260.	15. The straight line L through the origin meets the line x+y=1 and x+y=3 at P and Q respectively. Through P and Q, two straight lines L1 and L2 are drawn parallel to 2x-y=5 and 3x+y=5 respectively. Lines L1 and L2 intersect at R. Then what is the locus of point R ?
Answer» 15. The straight line L through the origin meets the line x+y=1 and x+y=3 at P and Q respectively. Through P and Q, two straight lines L1 and L2 are drawn parallel to 2x-y=5 and 3x+y=5 respectively. Lines L1 and L2 intersect at R. Then what is the locus of point R ?

Discussion

6261.	Aman used to solve 4 questions in 12 minutes. After much practice, he is now able to solve 8 questions in 16 minutes. What is the percentage decrease in the time he has achieved to solve each question?
Answer» Aman used to solve 4 questions in 12 minutes. After much practice, he is now able to solve 8 questions in 16 minutes. What is the percentage decrease in the time he has achieved to solve each question?

Discussion

6262.	Divide the fractions and match with correct answers.
Answer» Divide the fractions and match with correct answers.

Discussion

6263.	What is the sum of angles that are marked in the given figure?
Answer» What is the sum of angles that are marked in the given figure?

Discussion

6264.	The heights (in cm) of students of a class is tabulated below. HeightNumber of students150−1544155−1593160−1642165−1691170−1742175−1792180−1844185−1892Total20 Identify the correct option (s).
Answer» The heights (in cm) of students of a class is tabulated below. $\begin{matrix} Height & Number of students 150 - 154 & 4 155 - 159 & 3 160 - 164 & 2 165 - 169 & 1 170 - 174 & 2 175 - 179 & 2 180 - 184 & 4 185 - 189 & 2 T o t a l & 20 \end{matrix}$ Identify the correct option (s).

Discussion

6265.	Mark the correct alternative in each of the following:The sum of two integers is −8. If one of the integers is 12, then the other is(a) 20 (b) 4 (c) −4 (d) −20
Answer» Mark the correct alternative in each of the following: The sum of two integers is −8. If one of the integers is 12, then the other is (a) 20 (b) 4 (c) −4 (d) −20

Discussion

6266.	Find the possible expressions for the length and breath of the rectangle if its area insq units is given by the expression. 8x3+ y3+ 64 - 24xy.
Answer» Find the possible expressions for the length and breath of the rectangle if its area in sq units is given by the expression. 8x3 + y3 + 64 - 24xy.

Discussion

6267.	Which of the following numbers is the additive inverse of 729 ?
Answer» Which of the following numbers is the additive inverse of $\frac{7}{29}$ ?

Discussion

6268.	Which of the following can be solved using algebraic identities?
Answer» Which of the following can be solved using algebraic identities?

Discussion

6269.	39.If in Δ ABC , D is the midpoint of sideBC , angle ADB=45^° and angle ACD=30^° , then angle BAD and angle ABC are respectively equal to
Answer» 39.If in Δ ABC , D is the midpoint of sideBC , angle ADB=45^° and angle ACD=30^° , then angle BAD and angle ABC are respectively equal to

Discussion

6270.	Find the product of (t+s2) and (t2−s).
Answer» Find the product of $(t + s^{2})$ and $(t^{2} - s)$ .

Discussion

6271.	Question 9 225 % is equal to (a) 9 : 4 (b) 4 : 9 (c) 3 : 2 (d) 2 : 3
Answer» Question 9 225 % is equal to (a) 9 : 4 (b) 4 : 9 (c) 3 : 2 (d) 2 : 3

6271.

Question 9 225 % is equal to (a) 9 : 4 (b) 4 : 9 (c) 3 : 2 (d) 2 : 3

Answer»

Question 9

225 % is equal to
(a) 9 : 4
(b) 4 : 9
(c) 3 : 2
(d) 2 : 3

Discussion

6272.	Question 7Find ten rationals between 35 and 34.
Answer» Question 7 Find ten rationals between $\frac{3}{5} a n d \frac{3}{4}$ .

Discussion

6273.	For the given diagram, the value of m∠QBC is
Answer» For the given diagram, the value of $m ∠ Q B C$ is

Discussion

6274.	Sam has prepared 24 L of juice, which needs to be poured into packets that can hold 500 mL of juice for distribution. How many juice packets can be made like this?
Answer» Sam has prepared 24 L of juice, which needs to be poured into packets that can hold 500 mL of juice for distribution. How many juice packets can be made like this?

Discussion

6275.	A triangular pyramid contains how many rectangular faces?0
Answer» A triangular pyramid contains how many rectangular faces? 0

Discussion

6276.	Shanthi and Ramesh enter into a business partnership in which Shanthi contributes ₹ 5000 for 3 months and Ramesh contributes ₹2000 for 4 months. A profit of Rs. 3000 will be split between Shanthi and Ramesh in the ratio of ______.
Answer» Shanthi and Ramesh enter into a business partnership in which Shanthi contributes ₹ 5000 for 3 months and Ramesh contributes ₹2000 for 4 months. A profit of Rs. 3000 will be split between Shanthi and Ramesh in the ratio of ______.

Discussion

6277.	An experiment of rolling a pair of dice once is performed. The number of elements of this sample space is:
Answer» An experiment of rolling a pair of dice once is performed. The number of elements of this sample space is:

Discussion

6278.	When a decimal is divided by 10, the decimal point is shifted to the left by ________ place/s.
Answer» When a decimal is divided by 10, the decimal point is shifted to the left by ________ place/s.

Discussion

6279.	Question 12Can all the angles of a quadrilateral be right angles ? Give reason for you answer.
Answer» Question 12 Can all the angles of a quadrilateral be right angles ? Give reason for you answer.

Discussion

6280.	A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is other than Ace card?
Answer» A card is drawn at random from a pack of $52$ cards. What is the probability that the card drawn is other than Ace card?

Discussion

6281.	Given the sets A={1,3,5},B={2,4,6} and C={0,2,4,6,8}, which of the following may be considered as universal set(s) for all the three(i){0,1,2,3,4,5,6}(ii)ϕ(iii){0,1,2,3,4,5,6,7,8,9,10}(iv){1,2,3,4,5,6,7,8}
Answer» Given the sets $A = {1, 3, 5}, B = {2, 4, 6}$ and $C = {0, 2, 4, 6, 8}$ , which of the following may be considered as universal set(s) for all the three $(i) {0, 1, 2, 3, 4, 5, 6}$ $(i i) ϕ$ $(i i i) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}$ $(i v) {1, 2, 3, 4, 5, 6, 7, 8}$

Discussion

6282.	If a = 2, b = − 2, find the value of: (i) a2 + b2 (ii) a2 + ab + b2 (iii) a2 − b2
Answer» If a = 2, b = − 2, find the value of: (i) a²+ b² (ii) a² + ab + b² (iii) a² − b²

6282.

If a = 2, b = − 2, find the value of: (i) a2 + b2 (ii) a2 + ab + b2 (iii) a2 − b2

Answer»

If a
= 2, b = − 2, find the value of:

(i) a²+ b² (ii) a² + ab +
b² (iii) a² − b²

Discussion

6283.	P and Q started a business and invested for the same period of time. If the ratio of their investment is 4 : 5, then, their profit distribution would also in the ratio of ?
Answer» P and Q started a business and invested for the same period of time. If the ratio of their investment is 4 : 5, then, their profit distribution would also in the ratio of ?

Discussion

6284.	A car has a tyre of diameter 28 cm. How much distance (in m) is covered by the car if the tyre rotates 150 times. (Use π = 22/7)
Answer» A car has a tyre of diameter 28 cm. How much distance (in m) is covered by the car if the tyre rotates 150 times. (Use $π$ = 22/7)

Discussion

6285.	For a circle, the order of rotation is
Answer» For a circle, the order of rotation is

Discussion

6286.	5 litres of water was mixed with 2 litres of lemon juice to make lemonade for a gathering. To make it tastier, if the quantity of lemon juice is tripled and that of water is doubled, find the new ratio between water and lemon juice.
Answer» 5 litres of water was mixed with 2 litres of lemon juice to make lemonade for a gathering. To make it tastier, if the quantity of lemon juice is tripled and that of water is doubled, find the new ratio between water and lemon juice.

Discussion

6287.	In the given figure, three lines AB, CD and EF intersect at a point O such that ∠AOE = 35° and ∠BOD = 40°. Find the measure of ∠AOC, ∠BOF, ∠COF and ∠DOE.
Answer» In the given figure, three lines AB, CD and EF intersect at a point O such that ∠AOE = 35° and ∠BOD = 40°. Find the measure of ∠AOC, ∠BOF, ∠COF and ∠DOE.

Discussion

6288.	In the adjoining figure line p \|\| line q. Line ‘t′ and line ‘s′ are transversals. Find the measure of ∠x and ∠y using the measures of angles given in the figure.
Answer» In the adjoining figure line $p \| \|$ line $q$ . Line $‘ t^{'}$ and line $‘ s^{'}$ are transversals. Find the measure of $∠ x$ and $∠ y$ using the measures of angles given in the figure.

Discussion

6289.	A certain amount has been divided into two parts in the ratio 2 : 7. If the second part is ₹ 210 then the total amount is ₹ ___
Answer» A certain amount has been divided into two parts in the ratio 2 : 7. If the second part is ₹ 210 then the total amount is ₹ ___

Discussion

6290.	The Fibonacci sequence is defined by 1=a1=a2 and an=an−1+an−2, n>2. Find an+1an for n=1,2,3,4,5
Answer» The Fibonacci sequence is defined by $1 = a_{1} = a_{2}$ and $a_{n} = a_{n - 1} + a_{n - 2}, n > 2$ . Find $\frac{a_{n + 1}}{a_{n}}$ for $n = 1, 2, 3, 4, 5$

Discussion

6291.	The picnic spot is 55 km away from a school. The first stop is taken at 22 km from the school. What percentage of the distance is remaining to reach the destination?
Answer» The picnic spot is 55 km away from a school. The first stop is taken at 22 km from the school. What percentage of the distance is remaining to reach the destination?

Discussion

6292.	Which among the following -2, -1,-5, -8 is the smallest integer?
Answer» Which among the following -2, -1,-5, -8 is the smallest integer?

Discussion

6293.	The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal, is(a) π:2(b) π:3(c) 3:π(d) 2:π
Answer» The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal, is (a) $π : \sqrt{2}$ (b) $π : \sqrt{3}$ (c) $\sqrt{3} : π$ (d) $\sqrt{2} : π$

Discussion

6294.	Question 1(f)State whether the given expression is an equation or not. Give reason for your answer. Identify the variable from the given expressionx−2=0
Answer» Question 1(f) State whether the given expression is an equation or not. Give reason for your answer. Identify the variable from the given expression $x - 2 = 0$

6294.

Question 1(f)State whether the given expression is an equation or not. Give reason for your answer. Identify the variable from the given expressionx−2=0

Answer»

Question 1(f)

State whether the given expression is an equation or not. Give reason for your answer. Identify the variable from the given expression

$x - 2 = 0$

Discussion

6295.	Question 2(v)Write the additive inverse of each of the following:19−6
Answer» Question 2(v) Write the additive inverse of each of the following: $\frac{19}{- 6}$

Discussion

6296.	Find the arithmetic mean of the ordinates of the feet of the normals from the point (3,5) to the parabola y^2=8x
Answer» Find the arithmetic mean of the ordinates of the feet of the normals from the point (3,5) to the parabola y^2=8x

Discussion

6297.	Question 6(i)A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graphWhat is the scale taken for the time axis?
Answer» Question 6(i) A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph What is the scale taken for the time axis?

Discussion

6298.	Andy has Rs.1540 in his pocket and he spent Rs.250 on his hair cutting and Rs.115 on his face wash. Find the amount left with him. [2 MARKS]
Answer» Andy has Rs.1540 in his pocket and he spent Rs.250 on his hair cutting and Rs.115 on his face wash. Find the amount left with him. [2 MARKS]

Discussion

6299.	A rectangular lawn, 75 m by 60 m, has two roads, each road 4 m wide, running through the middle of the lawn, one parallel to length and the other parallel to breadth, as shown in the figure. Find the cost of gravelling the roads at Rs 50 per m2.
Answer» A rectangular lawn, 75 m by 60 m, has two roads, each road 4 m wide, running through the middle of the lawn, one parallel to length and the other parallel to breadth, as shown in the figure. Find the cost of gravelling the roads at Rs 50 per m².

Discussion

6300.	Question 55If a≠0, the multiplicative inverse of abisba
Answer» Question 55 If $a \neq 0$ , the multiplicative inverse of $\frac{a}{b} i s \frac{b}{a}$

Discussion

Explore topic-wise InterviewSolutions in .

−13+(−69)+57−(−89)−(53+(−49))=

Question 25Discount = Discount % of ___

Jack's truck uses an average of 1 gallon of fuel for covering a distance of 8 miles. With 6 gallons of fuel in the tank, distance covered by him before needing to stop for fuel is miles

A school has a strength of 3000 students the alongside Pie graph shows the intercepts of student in different subjects the number of student interested in English is

Choose the option which mentions the colored part of the figure in terms of a fraction.

In a box, there are 3 blue, 4 red, and 5 green balls. What is the probability of picking up three balls such that there is 1 ball of each colour?

Express 343×243 in exponential form:

Question 33 Annual salary at 'r' rupees per month along with a festival bonus of Rs. 2000 is ___ .

(-100) ÷ (-20) is _____.

15. The straight line L through the origin meets the line x+y=1 and x+y=3 at P and Q respectively. Through P and Q, two straight lines L1 and L2 are drawn parallel to 2x-y=5 and 3x+y=5 respectively. Lines L1 and L2 intersect at R. Then what is the locus of point R ?

Aman used to solve 4 questions in 12 minutes. After much practice, he is now able to solve 8 questions in 16 minutes. What is the percentage decrease in the time he has achieved to solve each question?

Divide the fractions and match with correct answers.

What is the sum of angles that are marked in the given figure?

The heights (in cm) of students of a class is tabulated below. HeightNumber of students150−1544155−1593160−1642165−1691170−1742175−1792180−1844185−1892Total20 Identify the correct option (s).

Mark the correct alternative in each of the following:The sum of two integers is −8. If one of the integers is 12, then the other is(a) 20 (b) 4 (c) −4 (d) −20

Find the possible expressions for the length and breath of the rectangle if its area insq units is given by the expression. 8x3+ y3+ 64 - 24xy.

Which of the following numbers is the additive inverse of 729 ?

Which of the following can be solved using algebraic identities?

39.If in Δ ABC , D is the midpoint of sideBC , angle ADB=45^° and angle ACD=30^° , then angle BAD and angle ABC are respectively equal to

Find the product of (t+s2) and (t2−s).

Question 9 225 % is equal to (a) 9 : 4 (b) 4 : 9 (c) 3 : 2 (d) 2 : 3

Question 7Find ten rationals between 35 and 34.

For the given diagram, the value of m∠QBC is

Sam has prepared 24 L of juice, which needs to be poured into packets that can hold 500 mL of juice for distribution. How many juice packets can be made like this?

A triangular pyramid contains how many rectangular faces?0

Shanthi and Ramesh enter into a business partnership in which Shanthi contributes ₹ 5000 for 3 months and Ramesh contributes ₹2000 for 4 months. A profit of Rs. 3000 will be split between Shanthi and Ramesh in the ratio of ______.

An experiment of rolling a pair of dice once is performed. The number of elements of this sample space is:

When a decimal is divided by 10, the decimal point is shifted to the left by ________ place/s.

Question 12Can all the angles of a quadrilateral be right angles ? Give reason for you answer.

A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is other than Ace card?

Given the sets A={1,3,5},B={2,4,6} and C={0,2,4,6,8}, which of the following may be considered as universal set(s) for all the three(i){0,1,2,3,4,5,6}(ii)ϕ(iii){0,1,2,3,4,5,6,7,8,9,10}(iv){1,2,3,4,5,6,7,8}

If a = 2, b = − 2, find the value of: (i) a2 + b2 (ii) a2 + ab + b2 (iii) a2 − b2

P and Q started a business and invested for the same period of time. If the ratio of their investment is 4 : 5, then, their profit distribution would also in the ratio of ?

A car has a tyre of diameter 28 cm. How much distance (in m) is covered by the car if the tyre rotates 150 times. (Use π = 22/7)

For a circle, the order of rotation is

5 litres of water was mixed with 2 litres of lemon juice to make lemonade for a gathering. To make it tastier, if the quantity of lemon juice is tripled and that of water is doubled, find the new ratio between water and lemon juice.

In the given figure, three lines AB, CD and EF intersect at a point O such that ∠AOE = 35° and ∠BOD = 40°. Find the measure of ∠AOC, ∠BOF, ∠COF and ∠DOE.

In the adjoining figure line p || line q. Line ‘t′ and line ‘s′ are transversals. Find the measure of ∠x and ∠y using the measures of angles given in the figure.

A certain amount has been divided into two parts in the ratio 2 : 7. If the second part is ₹ 210 then the total amount is ₹ ___

The Fibonacci sequence is defined by 1=a1=a2 and an=an−1+an−2, n&gt;2. Find an+1an for n=1,2,3,4,5

The picnic spot is 55 km away from a school. The first stop is taken at 22 km from the school. What percentage of the distance is remaining to reach the destination?

Which among the following -2, -1,-5, -8 is the smallest integer?

The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal, is(a) π:2(b) π:3(c) 3:π(d) 2:π

Question 1(f)State whether the given expression is an equation or not. Give reason for your answer. Identify the variable from the given expressionx−2=0

Question 2(v)Write the additive inverse of each of the following:19−6

Find the arithmetic mean of the ordinates of the feet of the normals from the point (3,5) to the parabola y^2=8x

Question 6(i)A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graphWhat is the scale taken for the time axis?

Andy has Rs.1540 in his pocket and he spent Rs.250 on his hair cutting and Rs.115 on his face wash. Find the amount left with him. [2 MARKS]

A rectangular lawn, 75 m by 60 m, has two roads, each road 4 m wide, running through the middle of the lawn, one parallel to length and the other parallel to breadth, as shown in the figure. Find the cost of gravelling the roads at Rs 50 per m2.

Question 55If a≠0, the multiplicative inverse of abisba

The Fibonacci sequence is defined by 1=a1=a2 and an=an−1+an−2, n>2. Find an+1an for n=1,2,3,4,5