25365 + Interview Questions in Mathematics Page 232 InterviewSolution

11551.	Which of the following is the largest negative integer?
Answer» Which of the following is the largest negative integer?

Discussion

11552.	If a2+1a2 = 23, then the value of a+1a is equal to .
Answer» If $a^{2} + \frac{1}{a^{2}}$ = 23, then the value of $a + \frac{1}{a}$ is equal to .

Discussion

11553.	Find the square root of 784.
Answer» Find the square root of $784$ .

Discussion

11554.	Rhombus with side 4 centimetres, angle between sides 30°.
Answer» Rhombus with side 4 centimetres, angle between sides 30°.

11554.

Rhombus with side 4 centimetres, angle between sides 30°.

Answer»

Rhombus with side 4 centimetres, angle between sides 30°.

Discussion

11555.	Construct a parallelogram HEAR where HE = 5 cm, EA = 6 cm, and ∠R=85∘.
Answer» Construct a parallelogram HEAR where HE = 5 cm, EA = 6 cm, and $∠ R = 85^{\circ}$ .

Discussion

11556.	The length and breadth of a rectangle are in the ratio 4 : 3. If the diagonal measures 25 cm, then the perimeter of the rectangle is (a) 56 cm (b) 60 cm (c) 70 cm (d) 80 cm
Answer» The length and breadth of a rectangle are in the ratio 4 : 3. If the diagonal measures 25 cm, then the perimeter of the rectangle is (a) 56 cm (b) 60 cm (c) 70 cm (d) 80 cm

11556.

The length and breadth of a rectangle are in the ratio 4 : 3. If the diagonal measures 25 cm, then the perimeter of the rectangle is (a) 56 cm (b) 60 cm (c) 70 cm (d) 80 cm

Answer»

The length and breadth of a rectangle are in the ratio 4 : 3. If the diagonal measures 25 cm, then the perimeter of the rectangle is

(a) 56 cm (b) 60 cm

(c) 70 cm (d) 80 cm

Discussion

11557.	21. The central hall of a school is 80m long and 8m high. It has 10 doors each of size 3m 1.5m and 10 windows each of size 1.5m1m. If the cost of white washing the walls of the hall at the rate of Rs 1.20 per m is Rs 2385.60 find the breadth of hall
Answer» 21. The central hall of a school is 80m long and 8m high. It has 10 doors each of size 3m 1.5m and 10 windows each of size 1.5m1m. If the cost of white washing the walls of the hall at the rate of Rs 1.20 per m is Rs 2385.60 find the breadth of hall

Discussion

11558.	The equation of the circle whose radius is 5 and which touches the circles x2+y2−2x−4y−20=0 externally at the point (5,5), is
Answer» The equation of the circle whose radius is 5 and which touches the circles $x^{2} + y^{2} - 2 x - 4 y - 20 = 0$ externally at the point (5,5), is

Discussion

11559.	Which one of the following lies between 57 and 1721?
Answer» Which one of the following lies between $\frac{5}{7}$ and $\frac{17}{21}$ ?

Discussion

11560.	What must be added to xy to make it yx?
Answer» What must be added to $\frac{x}{y}$ to make it $\frac{y}{x}$ ?

Discussion

11561.	What is the probability of not picking a king if you choose randomly from a pack of 52 cards?
Answer» What is the probability of not picking a king if you choose randomly from a pack of 52 cards?

Discussion

11562.	If two bars in a histogram have unequal widths but the same height, then which class interval will have a higher density of observations?
Answer» If two bars in a histogram have unequal widths but the same height, then which class interval will have a higher density of observations?

Discussion

11563.	Question 1(vi)Factorise the following expressions121b2−88bc+16c2
Answer» Question 1(vi) Factorise the following expressions $121 b^{2} - 88 b c + 16 c^{2}$

Discussion

11564.	Find the fourth proportional of:(i) 1/3, 2/5 and 8.4(ii) 4 hours 40 minutes, 1 hour 10 minutes and 16 hours
Answer» Find the fourth proportional of: (i) 1/3, 2/5 and 8.4 (ii) 4 hours 40 minutes, 1 hour 10 minutes and 16 hours

Discussion

11565.

In a survey, the mileage of cars in miles per gallon are collected, and represented in the following data set. 20 18 19 28 24 26 22 21 23 27 20 25 26 23 28 24 Which of the following box and whisker plot resembles the given data set?

Answer»

In a survey, the mileage of cars in miles per gallon are collected, and represented in the following data set.

20

18

19

28

24

26

22

21

23

27

20

25

26

23

28

24

Which of the following box and whisker plot resembles the given data set?

Discussion

11566.	Construct kite EASY with EA = 2cm, AS = 5cm, ES = 6cm.
Answer» Construct kite EASY with EA = 2cm, AS = 5cm, ES = 6cm.

Discussion

11567.	Find the difference between the mean and range of the following data set.12, 86, 45, 78, 23, 56
Answer» Find the difference between the mean and range of the following data set. 12, 86, 45, 78, 23, 56

Discussion

11568.	If 3x−4y=5 and xy=3, find:27x3−64y3.
Answer» If $3 x - 4 y = 5 a n d x y = 3, f i n d : 27 x^{3} - 64 y^{3} .$

Discussion

11569.	The measures of the angles of a quadrilateral are (y+25∘),2y,(2y−15∘), and (y+20∘). What is the measure of the smallest angle?
Answer» The measures of the angles of a quadrilateral are $(y + 25^{\circ}), 2 y, (2 y - 15^{\circ})$ , and $(y + 20^{\circ})$ . What is the measure of the smallest angle?

Discussion

11570.	Find the difference between simple interest and compound interest on ₹20000 at 8 p.c.p.a.
Answer» Find the difference between simple interest and compound interest on ₹20000 at 8 p.c.p.a.

Discussion

11571.

Can you complete the magic square given below and figure out its magic sum. 14 0 16 10 12

Answer» Can you complete the magic square given below and figure out its magic sum.

14
0		16
10	12

Discussion

11572.	Mark the correct alternative in each of the following:-2÷-53=(a) 56 (b) -56 (c) 65 (d) -65
Answer» Mark the correct alternative in each of the following: $(- 2) \div (- \frac{5}{3}) =$ (a) $\frac{5}{6}$ (b) $- \frac{5}{6}$ (c) $\frac{6}{5}$ (d) $\frac{- 6}{5}$

Discussion

11573.	Factorise (a2+1)b2−b4−a2.
Answer» Factorise $(a^{2} + 1) b^{2} - b^{4} - a^{2}$ .

Discussion

11574.	Given that total fixed cost is Rs. 30, calculate (i) MC (ii) TC from the following table: Q0123TVC (Rs)02050100
Answer» Given that total fixed cost is Rs. 30, calculate (i) MC (ii) TC from the following table: $\begin{matrix} Q & 0 & 1 & 2 & 3 TVC (Rs) & 0 & 20 & 50 & 100 \end{matrix}$

11574.

Given that total fixed cost is Rs. 30, calculate (i) MC (ii) TC from the following table: Q0123TVC (Rs)02050100

Answer»

Given that total fixed cost is Rs. 30, calculate

(i) MC

(ii) TC

from the following table:

$\begin{matrix} Q & 0 & 1 & 2 & 3 TVC (Rs) & 0 & 20 & 50 & 100 \end{matrix}$

Discussion

11575.	Find the difference between compound interest and the simple interest on ₹16,000 at 9% per annum in 2 years.
Answer» Find the difference between compound interest and the simple interest on ₹16,000 at 9% per annum in 2 years.

Discussion

11576.	Meenu requires 33% to pass.If she gets 155 marks and falls short by 10 marks,what is the maximum marks?
Answer» Meenu requires 33% to pass.If she gets 155 marks and falls short by 10 marks,what is the maximum marks?

Discussion

11577.	Question 3In a pie chart, the total angle at the centre of the circle is:(a) 180°(b) 360°(c) 270°(d) 90°
Answer» Question 3 In a pie chart, the total angle at the centre of the circle is: (a) 180° (b) 360° (c) 270° (d) 90°

11577.

Question 3In a pie chart, the total angle at the centre of the circle is:(a) 180°(b) 360°(c) 270°(d) 90°

Answer»

Question 3

In a pie chart, the total angle at the centre of the circle is:

(a) 180°

(b) 360°

(c) 270°

(d) 90°

Discussion

11578.	Question 59State whether the following statement is true or false:The cube root of 8000 is 200.
Answer» Question 59 State whether the following statement is true or false: The cube root of 8000 is 200.

11578.

Question 59State whether the following statement is true or false:The cube root of 8000 is 200.

Answer»

Question 59

State whether the following statement is true or false:

The cube root of 8000 is 200.

Discussion

11579.	Simplify the given algebraic expression:n2(n−2)+2n3(n+3)−6n(n−4)
Answer» Simplify the given algebraic expression: $n^{2} (n - 2) + 2 n^{3} (n + 3) - 6 n (n - 4)$

Discussion

11580.	Question 3 (iii) Explain how a square is: (iii) A rhombus
Answer» Question 3 (iii) Explain how a square is: (iii) A rhombus

11580.

Question 3 (iii) Explain how a square is: (iii) A rhombus

Answer»

Question 3 (iii)
Explain how a square is:

(iii) A rhombus

Discussion

11581.	Factorise the expression: −16y2z+20z3
Answer» $Factorise the expression: - 16 y^{2} z + 20 z^{3}$

Discussion

11582.	Question 6 Write 5 rational number greater than -2.
Answer» Question 6 Write 5 rational number greater than -2.

Discussion

11583.	Question 36In the first year on an investment of Rs. 600000, the loss is 5% and in the second year, the gain is 10%, the net result is ___.
Answer» Question 36 In the first year on an investment of Rs. 600000, the loss is 5% and in the second year, the gain is 10%, the net result is ___.

11583.

Question 36In the first year on an investment of Rs. 600000, the loss is 5% and in the second year, the gain is 10%, the net result is ___.

Answer»

Question 36

In the first year on an investment of Rs. 600000, the loss is 5% and in the second year, the gain is 10%, the net result is ___.

Discussion

11584.	Calculate the compound interest for the second year on Rs. 15000 invested for 5 years at 6% per annum.
Answer» Calculate the compound interest for the second year on Rs. 15000 invested for 5 years at 6% per annum.

Discussion

11585.	The diameter of Earth is 1,27,56,000 m. Express the number in the standard form.
Answer» The diameter of Earth is $1, 27, 56, 000 m$ . Express the number in the standard form.

Discussion

11586.	The area of a square is 169cm2. Find its : (i) one side (ii) perimeter
Answer» The area of a square is $169 c m^{2}$ . Find its : (i) one side (ii) perimeter

11586.

The area of a square is 169cm2. Find its : (i) one side (ii) perimeter

Answer»

The area of a square is $169 c m^{2}$ . Find its :

(i) one side (ii) perimeter

Discussion

11587.	what is Va-Vb
Answer» what is Va-Vb

Discussion

11588.	Which is the smallest odd composite number?
Answer» Which is the smallest odd composite number?

Discussion

11589.	21. The four angles of quardiletarals are in the ratio 2:4:5:7.find it's angles
Answer» 21. The four angles of quardiletarals are in the ratio 2:4:5:7.find it's angles

Discussion

11590.	The diagonals of a rhombus-
Answer» The diagonals of a rhombus-

Discussion

11591.	Construct a square ABCD, each of whose diagonals is 5.2 cm.
Answer» Construct a square ABCD, each of whose diagonals is 5.2 cm.

Discussion

11592.	Question 9The median of the following data is 50. Find the values of p and q, if the sum of all the frequencies is 90.MarksFrequency20−30 p30−40 1540−50 2550−60 2060−70 q70−80 880−90 10
Answer» Question 9 The median of the following data is 50. Find the values of p and q, if the sum of all the frequencies is 90. $\begin{matrix} M a r k s & F r e q u e n c y 20 - 30 & p 30 - 40 & 15 40 - 50 & 25 50 - 60 & 20 60 - 70 & q 70 - 80 & 8 80 - 90 & 10 \end{matrix}$

Discussion

11593.	If nCr – 1 = 36, nCr = 84 and nCr + 1 = 126, then r = ____________.
Answer» If ⁿC_r_{– 1} = 36, ⁿC_r = 84 and ⁿC_r_{+ 1} = 126, then r = ____________.

Discussion

11594.	Find the values of the letters in the following and give reasons forthe steps involved.
Answer» Find the values of the letters in the following and give reasons for the steps involved.

11594.

Find the values of the letters in the following and give reasons forthe steps involved.

Answer»

Find the values of the letters in the following and give reasons for
the steps involved.

Discussion

11595.	Simplify the following expression:27p77 ÷ 63p514
Answer» Simplify the following expression: $\frac{27 p^{7}}{7}$ ÷ $\frac{63 p^{5}}{14}$

Discussion

11596.	In which of the following quadrilaterals, a diagonal may not be an angle bisector?
Answer» In which of the following quadrilaterals, a diagonal may not be an angle bisector?

Discussion

11597.	Draw a line segment AB = 6.5 cm. Locate a point P that is 5 cm from A and 4.6 cm from B. Through the point P, draw a perpendicular on to the line segment AB.
Answer» Draw a line segment AB = 6.5 cm. Locate a point P that is 5 cm from A and 4.6 cm from B. Through the point P, draw a perpendicular on to the line segment AB.

Discussion

11598.	Question 5(ii) Find five rational numbers between: −32 and 53
Answer» Question 5(ii) Find five rational numbers between: $\frac{- 3}{2} a n d \frac{5}{3}$

Discussion

11599.	What is meant by associative property?
Answer» What is meant by associative property?

Discussion

11600.	Divide the Polynomial(x4−10x3+27x2−46x+28) by (x−7) and obtain the quotient.
Answer» Divide the Polynomial $(x^{4} - 10 x^{3} + 27 x^{2} - 46 x + 28) by (x - 7)$ and obtain the quotient.

Discussion

Explore topic-wise InterviewSolutions in .

Which of the following is the largest negative integer?

If a2+1a2 = 23, then the value of a+1a is equal to .

Find the square root of 784.

Rhombus with side 4 centimetres, angle between sides 30°.

Construct a parallelogram HEAR where HE = 5 cm, EA = 6 cm, and ∠R=85∘.

The length and breadth of a rectangle are in the ratio 4 : 3. If the diagonal measures 25 cm, then the perimeter of the rectangle is (a) 56 cm (b) 60 cm (c) 70 cm (d) 80 cm

21. The central hall of a school is 80m long and 8m high. It has 10 doors each of size 3m 1.5m and 10 windows each of size 1.5m1m. If the cost of white washing the walls of the hall at the rate of Rs 1.20 per m is Rs 2385.60 find the breadth of hall

The equation of the circle whose radius is 5 and which touches the circles x2+y2−2x−4y−20=0 externally at the point (5,5), is

Which one of the following lies between 57 and 1721?

What must be added to xy to make it yx?

What is the probability of not picking a king if you choose randomly from a pack of 52 cards?

If two bars in a histogram have unequal widths but the same height, then which class interval will have a higher density of observations?

Question 1(vi)Factorise the following expressions121b2−88bc+16c2

Find the fourth proportional of:(i) 1/3, 2/5 and 8.4(ii) 4 hours 40 minutes, 1 hour 10 minutes and 16 hours

In a survey, the mileage of cars in miles per gallon are collected, and represented in the following data set. 20 18 19 28 24 26 22 21 23 27 20 25 26 23 28 24 Which of the following box and whisker plot resembles the given data set?

Construct kite EASY with EA = 2cm, AS = 5cm, ES = 6cm.

Find the difference between the mean and range of the following data set.12, 86, 45, 78, 23, 56

If 3x−4y=5 and xy=3, find:27x3−64y3.

The measures of the angles of a quadrilateral are (y+25∘),2y,(2y−15∘), and (y+20∘). What is the measure of the smallest angle?

Find the difference between simple interest and compound interest on ₹20000 at 8 p.c.p.a.

Can you complete the magic square given below and figure out its magic sum. 14 0 16 10 12

Mark the correct alternative in each of the following:-2÷-53=(a) 56 (b) -56 (c) 65 (d) -65

Factorise (a2+1)b2−b4−a2.

Given that total fixed cost is Rs. 30, calculate (i) MC (ii) TC from the following table: Q0123TVC (Rs)02050100

Find the difference between compound interest and the simple interest on ₹16,000 at 9% per annum in 2 years.

Meenu requires 33% to pass.If she gets 155 marks and falls short by 10 marks,what is the maximum marks?

Question 3In a pie chart, the total angle at the centre of the circle is:(a) 180°(b) 360°(c) 270°(d) 90°

Question 59State whether the following statement is true or false:The cube root of 8000 is 200.

Simplify the given algebraic expression:n2(n−2)+2n3(n+3)−6n(n−4)

Question 3 (iii) Explain how a square is: (iii) A rhombus

Factorise the expression: −16y2z+20z3

Question 6 Write 5 rational number greater than -2.

Question 36In the first year on an investment of Rs. 600000, the loss is 5% and in the second year, the gain is 10%, the net result is ___.

Calculate the compound interest for the second year on Rs. 15000 invested for 5 years at 6% per annum.

The diameter of Earth is 1,27,56,000 m. Express the number in the standard form.

The area of a square is 169cm2. Find its : (i) one side (ii) perimeter

what is Va-Vb

Which is the smallest odd composite number?

21. The four angles of quardiletarals are in the ratio 2:4:5:7.find it's angles

The diagonals of a rhombus-

Construct a square ABCD, each of whose diagonals is 5.2 cm.

Question 9The median of the following data is 50. Find the values of p and q, if the sum of all the frequencies is 90.MarksFrequency20−30 p30−40 1540−50 2550−60 2060−70 q70−80 880−90 10

If nCr – 1 = 36, nCr = 84 and nCr + 1 = 126, then r = ____________.

Find the values of the letters in the following and give reasons forthe steps involved.

Simplify the following expression:27p77 ÷ 63p514

In which of the following quadrilaterals, a diagonal may not be an angle bisector?

Draw a line segment AB = 6.5 cm. Locate a point P that is 5 cm from A and 4.6 cm from B. Through the point P, draw a perpendicular on to the line segment AB.

Question 5(ii) Find five rational numbers between: −32 and 53

What is meant by associative property?

Divide the Polynomial(x4−10x3+27x2−46x+28) by (x−7) and obtain the quotient.