19743 + Interview Questions in Mathematics Page 208 InterviewSolution

10351.	If a + b + c = 9 and ab + bc + ca =23, then a3 + b3 + c3 − 3abc =(a) 108(b) 207(c) 669(d) 729
Answer» If a + b + c = 9 and ab + bc + ca =23, then a³+ b³+ c³ − 3abc = (a) 108 (b) 207 (c) 669 (d) 729

Discussion

10352.	सांप्रदायिक सद्भाव में कुँवर सिंह की गहरी आस्था थी-पाठ के आधार पर कथन की पुष्टि कीजिए।
Answer» सांप्रदायिक सद्भाव में कुँवर सिंह की गहरी आस्था थी-पाठ के आधार पर कथन की पुष्टि कीजिए।

Discussion

10353.	The expanded form of 0.14 is:
Answer» The expanded form of 0.14 is:

Discussion

10354.	The number of illiterate people in the country decreased from 150 lakhs to 100 lakhs. What is the percentage of decrease?
Answer» The number of illiterate people in the country decreased from 150 lakhs to 100 lakhs. What is the percentage of decrease?

Discussion

10355.	Simplify and write the answer in exponential form:32×34×38
Answer» Simplify and write the answer in exponential form: $3^{2} \times 3^{4} \times 3^{8}$

Discussion

10356.	113.Same spring is attached with 2 kg, 3 kg and 1 kg blocks in three different cases as shown in figure. If x1, x2 and x3 be the respective extensions in the spring in these three cases, then :-
Answer» 113.Same spring is attached with 2 kg, 3 kg and 1 kg blocks in three different cases as shown in figure. If x1, x2 and x3 be the respective extensions in the spring in these three cases, then :-

Discussion

10357.	Find the value of A.6
Answer» Find the value of A. 6

Discussion

10358.	If the ratio of the measure of an internal angle to that of an external angle of a polygon is 3:2, then find the measure of an exterior angle.
Answer» If the ratio of the measure of an internal angle to that of an external angle of a polygon is 3:2, then find the measure of an exterior angle.

Discussion

10359.	Alex made a sign out of a parallelogram-shaped piece of poster board. The poster board has a 48-inch base and a 1728-square-inch surface area. What is the poster board's height?
Answer» Alex made a sign out of a parallelogram-shaped piece of poster board. The poster board has a $48$ -inch base and a $1728$ -square-inch surface area. What is the poster board's height?

Discussion

10360.	Question 10 In the following question out of the four options only one is correct, write the correct answer. A linear equation in one variable has: (a) Only one solution (b) Two solutions (c) More than two solutions (d) No solution
Answer» Question 10 In the following question out of the four options only one is correct, write the correct answer. A linear equation in one variable has: (a) Only one solution (b) Two solutions (c) More than two solutions (d) No solution

10360.

Question 10 In the following question out of the four options only one is correct, write the correct answer. A linear equation in one variable has: (a) Only one solution (b) Two solutions (c) More than two solutions (d) No solution

Answer»

Question 10

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

A linear equation in one variable has:

(a) Only one solution

(b) Two solutions

(c) More than two solutions

(d) No solution

Discussion

10361.	Find the rate of discount.Marked price = Rs. 440; Selling price = Rs. 352
Answer» Find the rate of discount. Marked price = Rs. 440; Selling price = Rs. 352

10361.

Find the rate of discount.Marked price = Rs. 440; Selling price = Rs. 352

Answer»

Find the rate of discount.

Marked price = Rs. 440; Selling price = Rs. 352

Discussion

10362.	Find the least number which must be subtracted from 18265 to make it a perfect square.
Answer» Find the least number which must be subtracted from 18265 to make it a perfect square.

Discussion

10363.	Perimeter of a parallelogram is 150 cm. One of its sides is greater than the other side by 25 cm. Find the lengths of all sides.
Answer» Perimeter of a parallelogram is $150$ cm. One of its sides is greater than the other side by $25$ cm. Find the lengths of all sides.

Discussion

10364.	Question 1(c) : Solve: 49+27
Answer» Question 1(c) : Solve: $\frac{4}{9} + \frac{2}{7}$

10364.

Question 1(c) : Solve: 49+27

Answer»

Question 1(c) :

Solve:

$\frac{4}{9} + \frac{2}{7}$

Discussion

10365.	If there are 3 rows each with 8 plants, total number of plants is ___ plants
Answer» If there are 3 rows each with 8 plants, total number of plants is ___ plants

Discussion

10366.	In the given figure, AB = AC, BC = CD and ∠ A = 40∘, find ∠ACD
Answer» In the given figure, AB = AC, BC = CD and $∠$ A = $40^{\circ}$ , find $∠$ ACD

Discussion

10367.	(क) धनी ने गांधी जी से सुबह के समय बात करना क्यों ठीक समझा होगा?(ख) धनी बिन्नी की देखभाल कैसे करता था?(ग) धनी को यह कैसे महसूस हुआ होगा कि आश्रम में कोई योजना बनाई जा रही है?
Answer» (क) धनी ने गांधी जी से सुबह के समय बात करना क्यों ठीक समझा होगा? (ख) धनी बिन्नी की देखभाल कैसे करता था? (ग) धनी को यह कैसे महसूस हुआ होगा कि आश्रम में कोई योजना बनाई जा रही है?

10367.

(क) धनी ने गांधी जी से सुबह के समय बात करना क्यों ठीक समझा होगा?(ख) धनी बिन्नी की देखभाल कैसे करता था?(ग) धनी को यह कैसे महसूस हुआ होगा कि आश्रम में कोई योजना बनाई जा रही है?

Answer»

(क) धनी ने गांधी जी से सुबह के समय बात करना क्यों ठीक समझा होगा?

(ख) धनी बिन्नी की देखभाल कैसे करता था?

(ग) धनी को यह कैसे महसूस हुआ होगा कि आश्रम में कोई योजना बनाई जा रही है?

Discussion

10368.	How is 1225 represented as a decimal?
Answer» How is $\frac{12}{25}$ represented as a decimal?

Discussion

10369.	−4515+−3−27+89=
Answer» $\frac{- 45}{15} + \frac{- 3}{- 27} + \frac{8}{9} =$

Discussion

10370.	How to round off 4.0501 upto 1 decimal place
Answer» How to round off 4.0501 upto 1 decimal place

Discussion

10371.	The measure of ∠AOE is:
Answer» The measure of $∠ A O E$ is:

Discussion

10372.	(a) (m × 4m) − (3m4 ÷ m2)(b) (x5 ÷ x3) + 3x2
Answer» (a) (m × 4m) − (3m⁴ ÷ m²) (b) (x⁵ ÷ x³) + 3x²

10372.

(a) (m × 4m) − (3m4 ÷ m2)(b) (x5 ÷ x3) + 3x2

Answer»

(a) (m × 4m) − (3m⁴ ÷ m²)

(b) (x⁵ ÷ x³) + 3x²

Discussion

10373.	Amy bought 3 m of cloth for ₹ 150 to sew some shirts. When she started working she realized that she would need a bit more cloth to complete the shirts. So she placed an order for another 35 m of cloth. What is the total cost of clothes?
Answer» Amy bought 3 m of cloth for ₹ 150 to sew some shirts. When she started working she realized that she would need a bit more cloth to complete the shirts. So she placed an order for another $\frac{3}{5}$ m of cloth. What is the total cost of clothes?

Discussion

10374.	The line shown in the figure divides the figure into two equal halves. How many such lines are possible?
Answer» The line shown in the figure divides the figure into two equal halves. How many such lines are possible?

10374.

The line shown in the figure divides the figure into two equal halves. How many such lines are possible?

Answer»

The line shown in the figure divides the figure into two equal halves. How many such lines are possible?

Discussion

10375.	Difine reciprocal What is simple fraction and complex fractiob
Answer» Difine reciprocal What is simple fraction and complex fractiob

10375.

Difine reciprocal What is simple fraction and complex fractiob

Answer»

Difine reciprocal

What is simple fraction and complex fractiob

Discussion

10376.	Which among the following are like fractions?23;45;35;14;15;47;25
Answer» Which among the following are like fractions? $\frac{2}{3};$ $\frac{4}{5};$ $\frac{3}{5};$ $\frac{1}{4};$ $\frac{1}{5};$ $\frac{4}{7};$ $\frac{2}{5}$

Discussion

10377.	An experiment in which all the outcomes are known in advance and the exact outcome is not known in advance is called a _______ experiment.
Answer» An experiment in which all the outcomes are known in advance and the exact outcome is not known in advance is called a _______ experiment.

Discussion

10378.	{ †ext { Find number of triples of positive integers } ( a , b , c ) †ext { where } a ≤ b ≤ c ≤ 100 †ext { such that } a ^ { 2 } + b ^ { 2 } + c ^ { 2 } + 2 a b + } { 2 a ( c - 1 ) + 2 b ( c + 1 ) †ext { is a perfect square. }
Answer» { †ext { Find number of triples of positive integers } ( a , b , c ) †ext { where } a ≤ b ≤ c ≤ 100 †ext { such that } a ^ { 2 } + b ^ { 2 } + c ^ { 2 } + 2 a b + } { 2 a ( c - 1 ) + 2 b ( c + 1 ) †ext { is a perfect square. }

Discussion

10379.	1y−100= _____
Answer» $\frac{1}{y^{- 100}} =$ _____

Discussion

10380.	If the number of solar panels (p) is 11 more than 5 times the no. of buildings (q) in a locality, the correct relation between p and q is given by
Answer» If the number of solar panels (p) is 11 more than 5 times the no. of buildings (q) in a locality, the correct relation between p and q is given by

Discussion

10381.	Write the corresponding numeral for each of the following:(i) 6×10000+2×1000+5×100+8×10+4×1(ii) 5×100000+8×10000+1×1000+6×100+2×10+3×1
Answer» Write the corresponding numeral for each of the following: (i) $6 \times 10000 + 2 \times 1000 + 5 \times 100 + 8 \times 10 + 4 \times 1$ (ii) $5 \times 100000 + 8 \times 10000 + 1 \times 1000 + 6 \times 100 + 2 \times 10 + 3 \times 1$

10381.

Write the corresponding numeral for each of the following:(i) 6×10000+2×1000+5×100+8×10+4×1(ii) 5×100000+8×10000+1×1000+6×100+2×10+3×1

Answer»

Write the corresponding numeral for each of the following:

(i) $6 \times 10000 + 2 \times 1000 + 5 \times 100 + 8 \times 10 + 4 \times 1$

(ii) $5 \times 100000 + 8 \times 10000 + 1 \times 1000 + 6 \times 100 + 2 \times 10 + 3 \times 1$

Discussion

10382.	32. A probability distribution function is f(x)=k(x-1)(2-x) for 1
Answer» 32. A probability distribution function is f(x)=k(x-1)(2-x) for 1

Discussion

10383.	If a variable x satisfy the inequality −2x+3≥11 and −x−5≤7, then
Answer» If a variable $x$ satisfy the inequality $- 2 x + 3 \geq 11$ and $- x - 5 \leq 7,$ then

Discussion

10384.	In Fig. below, if AB\|\|CD, ∠APQ = 50∘ and ∠PRD = 127∘, find x and y. A. 50∘,67∘B. 50∘,77∘C. 77∘,87∘D. 77∘,97∘
Answer» In Fig. below, if $A B \| \| C D$ , $∠$ APQ = $50^{\circ}$ and $∠$ PRD = $127^{\circ}$ , find $x$ and $y$ . A. $50^{\circ}, 67^{\circ}$ B. $50^{\circ}, 77^{\circ}$ C. $77^{\circ}, 87^{\circ}$ D. $77^{\circ}, 97^{\circ}$

10384.

In Fig. below, if AB||CD, ∠APQ = 50∘ and ∠PRD = 127∘, find x and y. A. 50∘,67∘B. 50∘,77∘C. 77∘,87∘D. 77∘,97∘

Answer»

In Fig. below, if $A B | | C D$ , $∠$ APQ = $50^{\circ}$ and $∠$ PRD = $127^{\circ}$ , find $x$ and $y$ .

A. $50^{\circ}, 67^{\circ}$
B. $50^{\circ}, 77^{\circ}$
C. $77^{\circ}, 87^{\circ}$
D. $77^{\circ}, 97^{\circ}$

Discussion

10385.	Solve : 4/x+y - 3/x-y =59/x+y - 5/x-y =4
Answer» Solve : 4/x+y - 3/x-y =5 9/x+y - 5/x-y =4

Discussion

10386.	Question 64An angle is said to be trisected, if it is divided into three equal parts. If in the given figure, ∠ BAC=∠ CAD=∠ DAE, then how many trisectors are there for ∠ BAE?
Answer» Question 64 An angle is said to be trisected, if it is divided into three equal parts. If in the given figure, $∠ B A C = ∠ C A D = ∠ D A E$ , then how many trisectors are there for $∠ B A E$ ?

10386.

Question 64An angle is said to be trisected, if it is divided into three equal parts. If in the given figure, ∠ BAC=∠ CAD=∠ DAE, then how many trisectors are there for ∠ BAE?

Answer»

Question 64

An angle is said to be trisected, if it is divided into three equal parts. If in the given figure, $∠ B A C = ∠ C A D = ∠ D A E$ , then how many trisectors are there for $∠ B A E$ ?

Discussion

10387.	What Happens in Schottky defect?
Answer» What Happens in Schottky defect?

Discussion

10388.	The sum of two numbers is 36 and one number exceed another by 8. Find the numbers.
Answer» The sum of two numbers is 36 and one number exceed another by 8. Find the numbers.

Discussion

10389.	What is the square root of 100?
Answer» What is the square root of 100?

Discussion

10390.	In which of the following triangles the altitude and medians are all same?
Answer» In which of the following triangles the altitude and medians are all same?

Discussion

10391.	In a triangle ΔABC, if AB = BC or ∠B = ∠C, then it is a/an triangle.
Answer» In a triangle ΔABC, if AB = BC or ∠B = ∠C, then it is a/an triangle.

Discussion

10392.	If CE is parallel to DB in the given figure, then the value of ‘x’ will be:
Answer» If CE is parallel to DB in the given figure, then the value of ‘x’ will be:

Discussion

10393.	Write three divisions of integers such that the fractional form of each will be 245 .
Answer» Write three divisions of integers such that the fractional form of each will be $\frac{24}{5}$ .

Discussion

10394.	The sum of the rational numbers −819 and −457 is _____.
Answer» The sum of the rational numbers $\frac{- 8}{19}$ and $\frac{- 4}{57}$ is _____.

Discussion

10395.	In the year ended 31st March , 2018, the subscriptions received by the jaipur Literary Society were ₹ 4,20,000. These subscriptions include ₹ 14,000 received for the year ended 31st March , 2017. On 31st March, 2018, subscriptions due but not received were ₹ 10,000.What amount should be credited to Income and Expenditure Account for the year ended 31st March, 2018 as subscription ?
Answer» In the year ended 31st March , 2018, the subscriptions received by the jaipur Literary Society were ₹ 4,20,000. These subscriptions include ₹ 14,000 received for the year ended 31st March , 2017. On 31st March, 2018, subscriptions due but not received were ₹ 10,000.What amount should be credited to Income and Expenditure Account for the year ended 31st March, 2018 as subscription ?

Discussion

10396.	Construct the triangle XYZ, in which XY = 6 cm ∠X = 60°, ∠Y = 30°. Measure the third angle.
Answer» Construct the triangle XYZ, in which XY = 6 cm ∠X = 60°, ∠Y = 30°. Measure the third angle.

Discussion

10397.	Find angle 1 (in degrees) in the figure given below. Given that, the two lines are parallel.
Answer» Find angle 1 (in degrees) in the figure given below. Given that, the two lines are parallel.

10397.

Find angle 1 (in degrees) in the figure given below. Given that, the two lines are parallel.

Answer»

Find angle 1 (in degrees) in the figure given below. Given that, the two lines are parallel.

Discussion

10398.	are the angles which lie inside of the two parallel lines but on alternate sides of the transversal.
Answer» are the angles which lie inside of the two parallel lines but on alternate sides of the transversal.

Discussion

10399.	Tap on the subtraction statements which give 15 as the answer.
Answer» Tap on the subtraction statements which give 15 as the answer.

Discussion

10400.	Question 122 The per cent of pure gold in 14 carat gold is about 58.3%. A 14 carat gold ring weights 7.6 grams. How many grams of pure gold are in the ring?
Answer» Question 122 The per cent of pure gold in 14 carat gold is about 58.3%. A 14 carat gold ring weights 7.6 grams. How many grams of pure gold are in the ring?

10400.

Question 122 The per cent of pure gold in 14 carat gold is about 58.3%. A 14 carat gold ring weights 7.6 grams. How many grams of pure gold are in the ring?

Answer»

Question 122

The per cent of pure gold in 14 carat gold is about 58.3%. A 14 carat gold ring weights 7.6 grams. How many grams of pure gold are in the ring?

Discussion

Explore topic-wise InterviewSolutions in .

If a + b + c = 9 and ab + bc + ca =23, then a3 + b3 + c3 − 3abc =(a) 108(b) 207(c) 669(d) 729

सांप्रदायिक सद्भाव में कुँवर सिंह की गहरी आस्था थी-पाठ के आधार पर कथन की पुष्टि कीजिए।

The expanded form of 0.14 is:

The number of illiterate people in the country decreased from 150 lakhs to 100 lakhs. What is the percentage of decrease?

Simplify and write the answer in exponential form:32×34×38

113.Same spring is attached with 2 kg, 3 kg and 1 kg blocks in three different cases as shown in figure. If x1, x2 and x3 be the respective extensions in the spring in these three cases, then :-

Find the value of A.6

If the ratio of the measure of an internal angle to that of an external angle of a polygon is 3:2, then find the measure of an exterior angle.

Alex made a sign out of a parallelogram-shaped piece of poster board. The poster board has a 48-inch base and a 1728-square-inch surface area. What is the poster board's height?

Question 10 In the following question out of the four options only one is correct, write the correct answer. A linear equation in one variable has: (a) Only one solution (b) Two solutions (c) More than two solutions (d) No solution

Find the rate of discount.Marked price = Rs. 440; Selling price = Rs. 352

Find the least number which must be subtracted from 18265 to make it a perfect square.

Perimeter of a parallelogram is 150 cm. One of its sides is greater than the other side by 25 cm. Find the lengths of all sides.

Question 1(c) : Solve: 49+27

If there are 3 rows each with 8 plants, total number of plants is ___ plants

In the given figure, AB = AC, BC = CD and ∠ A = 40∘, find ∠ACD

How is 1225 represented as a decimal?

−4515+−3−27+89=

How to round off 4.0501 upto 1 decimal place

The measure of ∠AOE is:

(a) (m × 4m) − (3m4 ÷ m2)(b) (x5 ÷ x3) + 3x2

Amy bought 3 m of cloth for ₹ 150 to sew some shirts. When she started working she realized that she would need a bit more cloth to complete the shirts. So she placed an order for another 35 m of cloth. What is the total cost of clothes?

The line shown in the figure divides the figure into two equal halves. How many such lines are possible?

Difine reciprocal What is simple fraction and complex fractiob

Which among the following are like fractions?23;45;35;14;15;47;25

An experiment in which all the outcomes are known in advance and the exact outcome is not known in advance is called a _______ experiment.

{ †ext { Find number of triples of positive integers } ( a , b , c ) †ext { where } a ≤ b ≤ c ≤ 100 †ext { such that } a ^ { 2 } + b ^ { 2 } + c ^ { 2 } + 2 a b + } { 2 a ( c - 1 ) + 2 b ( c + 1 ) †ext { is a perfect square. }

1y−100= _____

If the number of solar panels (p) is 11 more than 5 times the no. of buildings (q) in a locality, the correct relation between p and q is given by

Write the corresponding numeral for each of the following:(i) 6×10000+2×1000+5×100+8×10+4×1(ii) 5×100000+8×10000+1×1000+6×100+2×10+3×1

32. A probability distribution function is f(x)=k(x-1)(2-x) for 1

If a variable x satisfy the inequality −2x+3≥11 and −x−5≤7, then

In Fig. below, if AB||CD, ∠APQ = 50∘ and ∠PRD = 127∘, find x and y. ​ A. 50∘,67∘B. 50∘,77∘C. 77∘,87∘D. 77∘,97∘

Solve : 4/x+y - 3/x-y =59/x+y - 5/x-y =4

Question 64An angle is said to be trisected, if it is divided into three equal parts. If in the given figure, ∠ BAC=∠ CAD=∠ DAE, then how many trisectors are there for ∠ BAE?

What Happens in Schottky defect?

The sum of two numbers is 36 and one number exceed another by 8. Find the numbers.

What is the square root of 100?

In which of the following triangles the altitude and medians are all same?

In a triangle ΔABC, if AB = BC or ∠B = ∠C, then it is a/an triangle.

If CE is parallel to DB in the given figure, then the value of ‘x’ will be:

Write three divisions of integers such that the fractional form of each will be 245 .

The sum of the rational numbers −819 and −457 is _____.

Construct the triangle XYZ, in which XY = 6 cm ∠X = 60°, ∠Y = 30°. Measure the third angle.

Find angle 1 (in degrees) in the figure given below. Given that, the two lines are parallel.

are the angles which lie inside of the two parallel lines but on alternate sides of the transversal.

Tap on the subtraction statements which give 15 as the answer.

Question 122 The per cent of pure gold in 14 carat gold is about 58.3%. A 14 carat gold ring weights 7.6 grams. How many grams of pure gold are in the ring?

In Fig. below, if AB||CD, ∠APQ = 50∘ and ∠PRD = 127∘, find x and y. A. 50∘,67∘B. 50∘,77∘C. 77∘,87∘D. 77∘,97∘