19743 + Interview Questions in Mathematics Page 45 InterviewSolution

2201.	30. Find the smallest positive number from the numbers below 1) 10- 311 2) 311 -10 3)51- 1026 4) 18- 5 13
Answer» 30. Find the smallest positive number from the numbers below 1) 10- 311 2) 311 -10 3)51- 1026 4) 18- 5 13

Discussion

2202.	Question 58If xy is the additive inverse of cd, then xy+cd=0
Answer» Question 58 If $\frac{x}{y}$ is the additive inverse of $\frac{c}{d}$ , then $\frac{x}{y} + \frac{c}{d} = 0$

Discussion

2203.	Question 121Huma, Hubna and Seema received a total of Rs . 2016 as monthly allowance from their mother such that Seema gets 12 of what Hubna gets and Huma gets 123 times Seema's share. How much money do the three sisters get individually?
Answer» Question 121 Huma, Hubna and Seema received a total of Rs . 2016 as monthly allowance from their mother such that Seema gets $\frac{1}{2}$ of what Hubna gets and Huma gets $1 \frac{2}{3}$ times Seema's share. How much money do the three sisters get individually?

Discussion

2204.	If 125 power x minus 1 is equal equal to 5 power 3 X - 2 - 500
Answer» If 125 power x minus 1 is equal equal to 5 power 3 X - 2 - 500

Discussion

2205.	Calculate the measure of ∠PQR, if ∠ZXY = 25°.
Answer» Calculate the measure of $∠$ PQR, if $∠$ ZXY = 25°.

Discussion

2206.	2/5 of the voters promises to vote for A and rest promised to vote for B. On the last day 15% of the voters of A went back of their promise and vote for B.On the other hand 25% of the voters of B went back on their promises and vote for A. A lost by 4 votes. The total number of vote is :
Answer» 2/5 of the voters promises to vote for A and rest promised to vote for B. On the last day 15% of the voters of A went back of their promise and vote for B.On the other hand 25% of the voters of B went back on their promises and vote for A. A lost by 4 votes. The total number of vote is :

Discussion

2207.	Jelena is a sculptor and has a 2 lb block of clay on any particular day. If she adds 24 oz more clay to the block to make a sculpture, then the total weight of the clay she has is lb.
Answer» Jelena is a sculptor and has a 2 lb block of clay on any particular day. If she adds 24 oz more clay to the block to make a sculpture, then the total weight of the clay she has is lb.

Discussion

2208.	Some angles are given below. Using the symbol of congruence write the names of the pairs of congruent angles in these figures.
Answer» Some angles are given below. Using the symbol of congruence write the names of the pairs of congruent angles in these figures.

Discussion

2209.	The inequality 2x≤10 is equivalent to
Answer» The inequality $2 x \leq 10$ is equivalent to

Discussion

2210.	Elijah is having a lot of fun with his younger sister. They want to arrange six marbles in a tabular pattern. The number of potential arrangements for those marbles is .
Answer» Elijah is having a lot of fun with his younger sister. They want to arrange six marbles in a tabular pattern. The number of potential arrangements for those marbles is .

Discussion

2211.	Find the unknown marked angles in the following figure giving reasons:
Answer» Find the unknown marked angles in the following figure giving reasons:

Discussion

2212.	The product of two rational numbers is −916. If one of the numbers is −43, what is the other number?
Answer» The product of two rational numbers is $\frac{- 9}{16}$ . If one of the numbers is $\frac{- 4}{3}$ , what is the other number?

Discussion

2213.

Find the missing values: So No Base Height Area of parallelogram a. 20 cm - 246 cm2 b. - 15 cm 154.5 cm2 c. - 8.4 cm 48.72 cm2 d. 15.6 cm - 16.38 cm2

Answer»

Find the missing values:

So No	Base	Height	Area of parallelogram
a.	20 cm	-	246 cm²
b.	-	15 cm	154.5 cm²
c.	-	8.4 cm	48.72 cm²
d.	15.6 cm	-	16.38 cm²

Discussion

2214.	{ A wire of length }2 units is cut into two }} parts which are bent respectively to form }{ a square of side }=x units and a circle of }}{ radius }=r units. If the sum of the areas of }} the square and the circle so formed is } minimum, then :
Answer» { A wire of length }2 units is cut into two }} parts which are bent respectively to form }{ a square of side }=x units and a circle of }}{ radius }=r units. If the sum of the areas of }} the square and the circle so formed is } minimum, then :

Discussion

2215.	Choose the correct image that shows 2 times 6 = 12.
Answer» Choose the correct image that shows 2 times 6 = 12.

Discussion

2216.

A cricket coach noted the number of runs scored by a player over 8 matches. The data gathered is as follows:MatchNumber of runs scored1652693724108542678780836Find the probability of the player scoring more than 65 runs in next match.

Answer»

A cricket coach noted the number of runs scored by a player over 8 matches. The data gathered is as follows:

Match	Number of runs scored
1	65
2	69
3	72
4	108
5	42
6	78
7	80
8	36

Find the probability of the player scoring more than 65 runs in next match.

Discussion

2217.	The ratio of the areas of two squares, one having its diagonal double that of the other, is(a) 2 : 1 (b) 3 : 1 (c) 3 : 2 (d) 4 : 1
Answer» The ratio of the areas of two squares, one having its diagonal double that of the other, is (a) 2 : 1 (b) 3 : 1 (c) 3 : 2 (d) 4 : 1

Discussion

2218.	Express −178 in decimal form by long division method.
Answer» Express $\frac{- 17}{8}$ in decimal form by long division method.

Discussion

2219.	The perimeter of a rectangular swimming pool is 64 m. If its length and breadth are in the ratio of 5 : 3, find the length of the pool (in metre).
Answer» The perimeter of a rectangular swimming pool is 64 m. If its length and breadth are in the ratio of 5 : 3, find the length of the pool (in metre).

Discussion

2220.	Area of a square of side 1 cm has an area equal to the area of _____ number of squares, each of side 1mm. ___
Answer» Area of a square of side 1 cm has an area equal to the area of _____ number of squares, each of side 1mm. ___

Discussion

2221.	Why are AAA , AAS and SSA not valid as rules of congruency?
Answer» Why are AAA , AAS and SSA not valid as rules of congruency?

Discussion

2222.	Question 64The students of a school belonging to different religious backgrounds. The number of Hindu students is 288, the number of Muslim students is 252, the number of Sikh students is 144 and the number of Christian students is 72. Find the ratio ofa) The number of Hindu students to the number of Christain students.b) The number of Muslim students to the total number of students.
Answer» Question 64 The students of a school belonging to different religious backgrounds. The number of Hindu students is 288, the number of Muslim students is 252, the number of Sikh students is 144 and the number of Christian students is 72. Find the ratio of a) The number of Hindu students to the number of Christain students. b) The number of Muslim students to the total number of students.

2222.

Question 64The students of a school belonging to different religious backgrounds. The number of Hindu students is 288, the number of Muslim students is 252, the number of Sikh students is 144 and the number of Christian students is 72. Find the ratio ofa) The number of Hindu students to the number of Christain students.b) The number of Muslim students to the total number of students.

Answer»

Question 64

The students of a school belonging to different religious backgrounds. The number of Hindu students is 288, the number of Muslim students is 252, the number of Sikh students is 144 and the number of Christian students is 72. Find the ratio of

a) The number of Hindu students to the number of Christain students.

b) The number of Muslim students to the total number of students.

Discussion

2223.	What is a bar graph used for?
Answer» What is a bar graph used for?

Discussion

2224.	Which of the following is the mirror image of the figure about the dotted line?
Answer» Which of the following is the mirror image of the figure about the dotted line?

Discussion

2225.	In the figure, sides PQ and RQ of △PQR are produced to points S and T, respectively. If ∠SPR=135∘ and ∠PQT=110∘, find 2∠PRQ.
Answer» In the figure, sides $P Q$ and $R Q$ of $△ P Q R$ are produced to points $S$ and $T,$ respectively. If $∠ S P R = 135^{\circ}$ and $∠ P Q T = 110^{\circ}$ , find $2 ∠ P R Q .$

2225.

In the figure, sides PQ and RQ of △PQR are produced to points S and T, respectively. If ∠SPR=135∘ and ∠PQT=110∘, find 2∠PRQ.

Answer»

In the figure, sides $P Q$ and $R Q$ of $△ P Q R$ are produced to points $S$ and $T,$ respectively. If $∠ S P R = 135^{\circ}$ and $∠ P Q T = 110^{\circ}$ , find $2 ∠ P R Q .$

Discussion

2226.	Question 19In the following question, out of the four options, only one is correct. Write the correct answer:(−75)−1 is equal to: (a) 57(b) -57(c) 75(d) −75
Answer» Question 19 In the following question, out of the four options, only one is correct. Write the correct answer: ${(\frac{- 7}{5})}^{- 1}$ is equal to: (a) $\frac{5}{7}$ (b) - $\frac{5}{7}$ (c) $\frac{7}{5}$ (d) $\frac{- 7}{5}$

2226.

Question 19In the following question, out of the four options, only one is correct. Write the correct answer:(−75)−1 is equal to: (a) 57(b) -57(c) 75(d) −75

Answer»

Question 19

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

${(\frac{- 7}{5})}^{- 1}$ is equal to:

(a) $\frac{5}{7}$

(b) - $\frac{5}{7}$

(c) $\frac{7}{5}$

(d) $\frac{- 7}{5}$

Discussion

2227.	Explain the me experesion 2019-(-5)7
Answer» Explain the me experesion 2019-(-5)7

2227.

Explain the me experesion 2019-(-5)7

Answer»

Explain the me experesion

20*19-(-5)*7

Discussion

2228.	From the graph, what is the profit earned (in $) when the number of items sold is 2000?10000
Answer» From the graph, what is the profit earned (in $) when the number of items sold is 2000? 10000

Discussion

2229.	If A, B and C are any three non-empty sets such that any two of them are disjoint, then (A ∪ B ∪ C) (A ∩ B ∩ C) = ____________.
Answer» If A, B and C are any three non-empty sets such that any two of them are disjoint, then (A ∪ B ∪ C) (A ∩ B ∩ C) = ____________.

Discussion

2230.	ntproove the pythogrean triplet.n
Answer» ntproove the pythogrean triplet.n

Discussion

2231.	What is the sum of the rational numbers 25 and −37?
Answer» What is the sum of the rational numbers $\frac{2}{5}$ and $\frac{- 3}{7}$ ?

Discussion

2232.	Question 14 In the given figure, POQ is a line. If x=30∘then∠QOR is (a) 90∘ (b) 30∘ (c) 150∘ (d) 60∘
Answer» Question 14 In the given figure, POQ is a line. If $x = 30^{\circ} t h e n ∠ Q O R$ is (a) $90^{\circ}$ (b) $30^{\circ}$ (c) $150^{\circ}$ (d) $60^{\circ}$

Discussion

2233.	Divide:(a) 10a2b ÷ 5ab(b) 18x3y2 ÷ 6x2y2
Answer» Divide: (a) 10a²b ÷ 5ab (b) 18x³y² ÷ 6x²y²

2233.

Divide:(a) 10a2b ÷ 5ab(b) 18x3y2 ÷ 6x2y2

Answer»

Divide:

(a) 10a²b ÷ 5ab

(b) 18x³y² ÷ 6x²y²

Discussion

2234.	328÷515=
Answer» $\frac{32}{8} \div \frac{5}{15} =$

Discussion

2235.	The train covers 20 km in 15 minutes. How much distance will the car cover in 15 minutes if the speed of car is 60% of the speed of the train?
Answer» The train covers 20 km in 15 minutes. How much distance will the car cover in 15 minutes if the speed of car is 60% of the speed of the train?

Discussion

2236.	If AB = 5 cm, BP = 2 cm and AP = 3.4 cm, compare the segments.
Answer» If AB = 5 cm, BP = 2 cm and AP = 3.4 cm, compare the segments.

Discussion

2237.	Question 70 (ii) Using Euler's formula. Find the value of unknown. Faces y vertices 12 Edges 18
Answer» Question 70 (ii) Using Euler's formula. Find the value of unknown. Faces y vertices 12 Edges 18

Discussion

2238.	The quantity 87,800,000,000,000,000,000,000,000 kg equals to _________.
Answer» The quantity $87, 800, 000, 000, 000, 000, 000, 000, 000 k g$ equals to _________.

Discussion

2239.	If a=i+4j+2\sqrt2k and b=(i+j)\sqrt2 then find the component of a perpendicular to b.
Answer» If a=i+4j+2\sqrt2k and b=(i+j)\sqrt2 then find the component of a perpendicular to b.

Discussion

2240.	3133−1933 =
Answer» $\frac{31}{33} - \frac{19}{33}$ =

Discussion

2241.	The length of a rectangular plot of area 6513m2 is 1214m. What is the breadth of the plot ?
Answer» The length of a rectangular plot of area $65 \frac{1}{3} m^{2}$ is $12 \frac{1}{4} m .$ What is the breadth of the plot ?

Discussion

2242.	Solve each of the following quadratic equations:x+3x-2-1-xx=414, x≠2, 0
Answer» Solve each of the following quadratic equations: $\frac{x + 3}{x - 2} - \frac{1 - x}{x} = 4 \frac{1}{4}, x \neq 2, 0$

Discussion

2243.	114. A train 170 m long takes 18 sec. to pass a tunnel at the speed of 50km/hr. Find the length of the tunnel
Answer» 114. A train 170 m long takes 18 sec. to pass a tunnel at the speed of 50km/hr. Find the length of the tunnel

Discussion

2244.	The number π + 7 is
Answer» The number π + 7 is

Discussion

2245.	Express −56 as a rational number with numerator −15
Answer» Express $\frac{- 5}{6}$ as a rational number with numerator $- 15$

Discussion

2246.	In the above triangle ABC, AB = BC. BD is perpendicular to AC and EC bisects the angle ∠ACB. Is the point E equidistant from AB and BC?
Answer» In the above triangle ABC, AB = BC. BD is perpendicular to AC and EC bisects the angle $∠ A C B$ . Is the point E equidistant from AB and BC?

Discussion

2247.	Mark the correct alternative in each of the following:The rational number equal to 2-3 is(a) 14-18 (b) -69 (c) -8-12 (d) 3-2
Answer» Mark the correct alternative in each of the following: The rational number equal to $\frac{2}{- 3}$ is (a) $\frac{14}{- 18}$ (b) $\frac{- 6}{9}$ (c) $\frac{- 8}{- 12}$ (d) $\frac{3}{- 2}$

Discussion

2248.	In the given figure, PQ = PS. The value of x is
Answer» In the given figure, PQ = PS. The value of x is

Discussion

2249.	Question 12 If angle P and angle Q are supplementary and the measure fo angle P is 60∘ then the measure of angle Q is (a) 120∘ (b) 60∘ (c) 30∘ (d) 20∘
Answer» Question 12 If angle P and angle Q are supplementary and the measure fo angle P is $60^{\circ}$ then the measure of angle Q is (a) $120^{\circ}$ (b) $60^{\circ}$ (c) $30^{\circ}$ (d) $20^{\circ}$

Discussion

2250.	How is the value of π (pi) derived
Answer» How is the value of π (pi) derived

Discussion

Explore topic-wise InterviewSolutions in .

30. Find the smallest positive number from the numbers below 1) 10- 311 2) 311 -10 3)51- 1026 4) 18- 5 13

Question 58If xy is the additive inverse of cd, then xy+cd=0

Question 121Huma, Hubna and Seema received a total of Rs . 2016 as monthly allowance from their mother such that Seema gets 12 of what Hubna gets and Huma gets 123 times Seema's share. How much money do the three sisters get individually?

If 125 power x minus 1 is equal equal to 5 power 3 X - 2 - 500

Calculate the measure of ∠PQR, if ∠ZXY = 25°.

2/5 of the voters promises to vote for A and rest promised to vote for B. On the last day 15% of the voters of A went back of their promise and vote for B.On the other hand 25% of the voters of B went back on their promises and vote for A. A lost by 4 votes. The total number of vote is :

Jelena is a sculptor and has a 2 lb block of clay on any particular day. If she adds 24 oz more clay to the block to make a sculpture, then the total weight of the clay she has is lb.

Some angles are given below. Using the symbol of congruence write the names of the pairs of congruent angles in these figures.

The inequality 2x≤10 is equivalent to

Elijah is having a lot of fun with his younger sister. They want to arrange six marbles in a tabular pattern. The number of potential arrangements for those marbles is .

Find the unknown marked angles in the following figure giving reasons:

The product of two rational numbers is −916. If one of the numbers is −43, what is the other number?

Find the missing values: So No Base Height Area of parallelogram a. 20 cm - 246 cm2 b. - 15 cm 154.5 cm2 c. - 8.4 cm 48.72 cm2 d. 15.6 cm - 16.38 cm2

{ A wire of length }2 units is cut into two }} parts which are bent respectively to form }{ a square of side }=x units and a circle of }}{ radius }=r units. If the sum of the areas of }} the square and the circle so formed is } minimum, then :

Choose the correct image that shows 2 times 6 = 12.

A cricket coach noted the number of runs scored by a player over 8 matches. The data gathered is as follows:MatchNumber of runs scored1652693724108542678780836Find the probability of the player scoring more than 65 runs in next match.

The ratio of the areas of two squares, one having its diagonal double that of the other, is(a) 2 : 1 (b) 3 : 1 (c) 3 : 2 (d) 4 : 1

Express −178 in decimal form by long division method.

The perimeter of a rectangular swimming pool is 64 m. If its length and breadth are in the ratio of 5 : 3, find the length of the pool (in metre).

Area of a square of side 1 cm has an area equal to the area of _____ number of squares, each of side 1mm. ___

Why are AAA , AAS and SSA not valid as rules of congruency?

What is a bar graph used for?

Which of the following is the mirror image of the figure about the dotted line?

In the figure, sides PQ and RQ of △PQR are produced to points S and T, respectively. If ∠SPR=135∘ and ∠PQT=110∘, find 2∠PRQ.

Question 19In the following question, out of the four options, only one is correct. Write the correct answer:(−75)−1 is equal to: (a) 57(b) -57(c) 75(d) −75

Explain the me experesion 20*19-(-5)*7

From the graph, what is the profit earned (in $) when the number of items sold is 2000?10000

If A, B and C are any three non-empty sets such that any two of them are disjoint, then (A ∪ B ∪ C) (A ∩ B ∩ C) = ____________.

ntproove the pythogrean triplet.n

What is the sum of the rational numbers 25 and −37?

Question 14 In the given figure, POQ is a line. If x=30∘then∠QOR is (a) 90∘ (b) 30∘ (c) 150∘ (d) 60∘

Divide:(a) 10a2b ÷ 5ab(b) 18x3y2 ÷ 6x2y2

328÷515=

The train covers 20 km in 15 minutes. How much distance will the car cover in 15 minutes if the speed of car is 60% of the speed of the train?

If AB = 5 cm, BP = 2 cm and AP = 3.4 cm, compare the segments.

Question 70 (ii) Using Euler's formula. Find the value of unknown. Faces y vertices 12 Edges 18

The quantity 87,800,000,000,000,000,000,000,000 kg equals to _________.

If a=i+4j+2\sqrt2k and b=(i+j)\sqrt2 then find the component of a perpendicular to b.

3133−1933 =

The length of a rectangular plot of area 6513m2 is 1214m. What is the breadth of the plot ?

Solve each of the following quadratic equations:x+3x-2-1-xx=414, x≠2, 0

114. A train 170 m long takes 18 sec. to pass a tunnel at the speed of 50km/hr. Find the length of the tunnel

The number π + 7 is

Express −56 as a rational number with numerator −15

In the above triangle ABC, AB = BC. BD is perpendicular to AC and EC bisects the angle ∠ACB. Is the point E equidistant from AB and BC?

Mark the correct alternative in each of the following:The rational number equal to 2-3 is(a) 14-18 (b) -69 (c) -8-12 (d) 3-2

In the given figure, PQ = PS. The value of x is

Question 12 If angle P and angle Q are supplementary and the measure fo angle P is 60∘ then the measure of angle Q is (a) 120∘ (b) 60∘ (c) 30∘ (d) 20∘

How is the value of π (pi) derived

Area of a square of side 1 cm has an area equal to the area of ___ number of squares, each of side 1mm. _

Explain the me experesion 2019-(-5)7