25365 + Interview Questions in Mathematics Page 83 InterviewSolution

4101.	Which of the following statement is true regarding the given figure?
Answer» Which of the following statement is true regarding the given figure?

Discussion

4102.	Question 50If rs is a rational number, then s cannot be equal to zero.
Answer» Question 50 If $\frac{r}{s}$ is a rational number, then s cannot be equal to zero.

Discussion

4103.	(0.8)3 = ? (a) 51.2 (b) 5.12 (c) 0.512 (d) none of these
Answer» $(0.8)^{3}$ = ? (a) 51.2 (b) 5.12 (c) 0.512 (d) none of these

Discussion

4104.	Choose the correct option: If two angles are supplementary, then their sum is ___________ A. 90° B. 180° C. 270° D. 360°
Answer» Choose the correct option: If two angles are supplementary, then their sum is ___________ A. 90° B. 180° C. 270° D. 360°

4104.

Choose the correct option: If two angles are supplementary, then their sum is ___________ A. 90° B. 180° C. 270° D. 360°

Answer»

Choose the correct option:

If two angles are supplementary, then their sum is ___________

A. 90°

B. 180°

C. 270°

D. 360°

Discussion

4105.	Question 64Getting a prime number on throwing a die is an event. ?
Answer» Question 64 Getting a prime number on throwing a die is an event. ?

4105.

Question 64Getting a prime number on throwing a die is an event. ?

Answer»

Question 64

Getting a prime number on throwing a die is an event. ?

Discussion

4106.	41.the sides of a quadrilateral are 3,4,5 and 6cms. the sum of a pair of opposite angles is 120^° . show that the area of the quadrilateral is 3 root30 sq.cm.
Answer» 41.the sides of a quadrilateral are 3,4,5 and 6cms. the sum of a pair of opposite angles is 120^° . show that the area of the quadrilateral is 3 root30 sq.cm.

Discussion

4107.	What is the equation of altitudes in the ortho center of triangle?
Answer» What is the equation of altitudes in the ortho center of triangle?

Discussion

4108.	mrs Roy loves gardening and has 2040 plants.she wants to plant these in such a way that the number of rows and the columns remain the same.find the menimum number of plants she needs more for this
Answer» mrs Roy loves gardening and has 2040 plants.she wants to plant these in such a way that the number of rows and the columns remain the same.find the menimum number of plants she needs more for this

Discussion

4109.	Which shaded portion of the grid shows a decrease of 25%.
Answer» Which shaded portion of the grid shows a decrease of 25%.

Discussion

4110.	Find 37+(−611)+(−821)+(522).
Answer» Find $\frac{3}{7} + (\frac{- 6}{11}) + (\frac{- 8}{21}) + (\frac{5}{22})$ .

Discussion

4111.	Which of the following expressions are not polynomials : (i) x2+2x−2 (ii) √ax+x2−x3 (iii) 3y3−√5y+9 (iv) ax12+ax+9x2+4 (v) 3x−2+2x−1+4x+5
Answer» Which of the following expressions are not polynomials : (i) $x^{2} + 2 x^{- 2}$ (ii) $\sqrt{a} x + x^{2} - x^{3}$ (iii) $3 y^{3} - \sqrt{5} y + 9$ (iv) $a x^{\frac{1}{2} + a x + 9 x^{2} + 4}$ (v) $3 x^{- 2} + 2 x^{- 1} + 4 x + 5$

4111.

Which of the following expressions are not polynomials : (i) x2+2x−2 (ii) √ax+x2−x3 (iii) 3y3−√5y+9 (iv) ax12+ax+9x2+4 (v) 3x−2+2x−1+4x+5

Answer»

Which of the following expressions are not polynomials :

(i) $x^{2} + 2 x^{- 2}$

(ii) $\sqrt{a} x + x^{2} - x^{3}$

(iii) $3 y^{3} - \sqrt{5} y + 9$

(iv) $a x^{\frac{1}{2} + a x + 9 x^{2} + 4}$

(v) $3 x^{- 2} + 2 x^{- 1} + 4 x + 5$

Discussion

4112.	47. x - (2)(y)-( x square )+( 4 )(y square.)
Answer» 47. x - (2)(y)-( x square )+( 4 )(y square.)

Discussion

4113.	The altitude of a triangle is three-fifth the length of its base. If the altitude is increased by 4 cm and the base is decreased by 2 cm, the area of the triangle remains the same. Find the base of the triangle in cm. [Area of triangle = 12×base×height]
Answer» The altitude of a triangle is three-fifth the length of its base. If the altitude is increased by 4 cm and the base is decreased by 2 cm, the area of the triangle remains the same. Find the base of the triangle in cm. [Area of triangle = $\frac{1}{2} \times base \times height$ ]

Discussion

4114.	Question 57In the following question, fill in the blanks to make the statements true.The usual form fo 2.3×1010 is ___ .
Answer» Question 57 In the following question, fill in the blanks to make the statements true. The usual form fo $2.3 \times 10^{10}$ is ___ .

4114.

Question 57In the following question, fill in the blanks to make the statements true.The usual form fo 2.3×1010 is ___ .

Answer»

Question 57

In the following question, fill in the blanks to make the statements true.

The usual form fo $2.3 \times 10^{10}$ is ___ .

Discussion

4115.	What fraction does the shaded portion represent?
Answer» What fraction does the shaded portion represent?

Discussion

4116.	The sum of first 25 odd numbers is:
Answer» The sum of first 25 odd numbers is:

Discussion

4117.	There are three points given on a plane. How many circles can be drawn passing through all three points?
Answer» There are three points given on a plane. How many circles can be drawn passing through all three points?

Discussion

4118.	Question 108(ii) Verify the property x×y=y×x of rational numbers by using x=23 and y=94
Answer» Question 108(ii) Verify the property $x \times y = y \times x$ of rational numbers by using $x = \frac{2}{3}$ and $y = \frac{9}{4}$

Discussion

4119.	In a triangle ABC, A- B = 120^° and the circumradius is8 times the inradius of the triangle, then the value of cosC equal to
Answer» In a triangle ABC, A- B = 120^° and the circumradius is8 times the inradius of the triangle, then the value of cosC equal to

Discussion

4120.	A bicycle dealer buys 30 Razorback cycles for ₹ 48000. Of these, 10 are with gears and the rest are without gears. At what price must he sell each geared cycle so that if he sells the non - geared ones at 34 of their cost price, he makes a profit of 40% on his total outlay.
Answer» A bicycle dealer buys 30 Razorback cycles for ₹ 48000. Of these, 10 are with gears and the rest are without gears. At what price must he sell each geared cycle so that if he sells the non - geared ones at $\frac{3}{4}$ of their cost price, he makes a profit of 40% on his total outlay.

Discussion

4121.	Which among the following has the most number of diagonals?
Answer» Which among the following has the most number of diagonals?

Discussion

4122.	Number of divisor of the form (4n+2), n0 of the integer 240.
Answer» Number of divisor of the form (4n+2), n0 of the integer 240.

Discussion

4123.	(Exploration) Find all perfect squares from 1 to 500, each of which is a sum of two perfect squares.
Answer» (Exploration) Find all perfect squares from 1 to 500, each of which is a sum of two perfect squares.

Discussion

4124.	Square of which of the following numbers will not have 6 at their unit's place : (i) 35 (ii) 23 (iii) 64 (iv) 76 (v) 98
Answer» Square of which of the following numbers will not have 6 at their unit's place : (i) 35 (ii) 23 (iii) 64 (iv) 76 (v) 98

4124.

Square of which of the following numbers will not have 6 at their unit's place : (i) 35 (ii) 23 (iii) 64 (iv) 76 (v) 98

Answer»

Square of which of the following numbers will not have 6 at their unit's place :

(i) 35 (ii) 23

(iii) 64 (iv) 76

(v) 98

Discussion

4125.	Steve conducts a survey of 15 villages of a locality and finds out the number of teachers in each village. The observations are as follows: 3, 3, 3, 2, 2, 1, 2, 3, 4, 4, 4, 4, 4, 1, 1. Which is the correct frequency table?
Answer» Steve conducts a survey of 15 villages of a locality and finds out the number of teachers in each village. The observations are as follows: 3, 3, 3, 2, 2, 1, 2, 3, 4, 4, 4, 4, 4, 1, 1. Which is the correct frequency table?

Discussion

4126.	What is the minimum variation between the diagonals of rhombus. can there be a rhombus whose one diagonal is 1 cm and another diagonal is 100m
Answer» What is the minimum variation between the diagonals of rhombus. can there be a rhombus whose one diagonal is 1 cm and another diagonal is 100m

Discussion

4127.	In a half-subtractor circuit with X and Y as inputs, the Borrow (M) and Difference (N = X -Y) are given by
Answer» In a half-subtractor circuit with $X$ and $Y$ as inputs, the Borrow $(M)$ and Difference $(N = X -Y)$ are given by

Discussion

4128.	Explain surds and give examples?
Answer» Explain surds and give examples?

Discussion

4129.	Question 5 −38+17=17+(−38) is an example to show that (a) addition of rational numbers is commutative. (b) rational numbers are closed under addition. (c) addition of rational number is associative. (d) rational numbers are distributive under addition
Answer» Question 5 $- \frac{3}{8} + \frac{1}{7} = \frac{1}{7} + (\frac{- 3}{8})$ is an example to show that (a) addition of rational numbers is commutative. (b) rational numbers are closed under addition. (c) addition of rational number is associative. (d) rational numbers are distributive under addition

Discussion

4130.	A sum of money triples itself in 8 years. Find the rate of interest.
Answer» A sum of money triples itself in 8 years. Find the rate of interest.

Discussion

4131.	Question 10.1 .Two persons could fit new windows in a house in 3 days.One of the persons fell ill before the work started. How long would the job take now?
Answer» Question 10.1 . Two persons could fit new windows in a house in 3 days. One of the persons fell ill before the work started. How long would the job take now?

Discussion

4132.	Question 5 In figure, two line segments AC and BD intersect each other at the point P such that PA=6cm,PB=6cm,PC=3cm,PC=2.5cm,PD=5cm,∠APB=50∘ and ∠CDP=30∘ Then ∠PBA is equal to (A) 50∘ (B) 30∘ (C) 60∘ (D) 100∘
Answer» Question 5 In figure, two line segments AC and BD intersect each other at the point P such that $P A = 6 c m, P B = 6 c m, P C = 3 c m, P C = 2.5 c m, P D = 5 c m, ∠ A P B = 50^{\circ} a n d ∠ C D P = 30^{\circ} T h e n ∠ P B A$ is equal to (A) $50^{\circ}$ (B) $30^{\circ}$ (C) $60^{\circ}$ (D) $100^{\circ}$

Discussion

4133.	Prove by P.M.I that}2.7^n+3.5^n-5 is divisible by }24
Answer» Prove by P.M.I that}2.7^n+3.5^n-5 is divisible by }24

Discussion

4134.	find the amount and the compound interest on rs 1,60,000 for 2.5 years at 20 percent per anum the interest is compounded half yearly
Answer» find the amount and the compound interest on rs 1,60,000 for 2.5 years at 20 percent per anum the interest is compounded half yearly

Discussion

4135.	Find the cube root of the following by looking at the last digit and using estimation:(i) 91125; (ii) 166375; (iii) 704969.
Answer» Find the cube root of the following by looking at the last digit and using estimation: (i) 91125; (ii) 166375; (iii) 704969.

4135.

Find the cube root of the following by looking at the last digit and using estimation:(i) 91125; (ii) 166375; (iii) 704969.

Answer»

Find the cube root of the following by looking at the last digit and using estimation:

(i) 91125; (ii) 166375; (iii) 704969.

Discussion

4136.	Question 85 (x)Expand the following, using suitable identities.(2x−5y)(2x−5y)
Answer» Question 85 (x) Expand the following, using suitable identities. $(2 x - 5 y) (2 x - 5 y)$

4136.

Question 85 (x)Expand the following, using suitable identities.(2x−5y)(2x−5y)

Answer»

Question 85 (x)

Expand the following, using suitable identities.

$(2 x - 5 y) (2 x - 5 y)$

Discussion

4137.	factorise x^11 + 2^22
Answer» factorise x^11 + 2^22

Discussion

4138.	the slope of a line 3x-5y=8 is
Answer» the slope of a line 3x-5y=8 is

Discussion

4139.	Draw a line MN=5.8cm. Locate point A which is 4.5cm from M and 5cm from N. Through A draw a line parallel to line MN.
Answer» Draw a line MN=5.8cm. Locate point A which is 4.5cm from M and 5cm from N. Through A draw a line parallel to line MN.

Discussion

4140.	Question 12What is the maximum number of obtuse angles that a quadrilateral can have?a) 1b) 2c) 3d) 4
Answer» Question 12 What is the maximum number of obtuse angles that a quadrilateral can have? a) 1 b) 2 c) 3 d) 4

Discussion

4141.	5t-3=3t-5
Answer» 5t-3=3t-5

Discussion

4142.	Expand (79)3.
Answer» Expand ${(\frac{7}{9})}^{3}$ .

Discussion

4143.	10!8! is simplifies to .
Answer» $\frac{10!}{8!}$ is simplifies to .

Discussion

4144.	Question 31Numbers 1 to 5 are written on separate slips, i.e. one number on one slip and put in a box. Wahida pick a slip from the box without looking at it. What is the probability that the slip bears an odd number?(a) 15(b) 25(c) 35(d) 45
Answer» Question 31 Numbers 1 to 5 are written on separate slips, i.e. one number on one slip and put in a box. Wahida pick a slip from the box without looking at it. What is the probability that the slip bears an odd number? (a) $\frac{1}{5}$ (b) $\frac{2}{5}$ (c) $\frac{3}{5}$ (d) $\frac{4}{5}$

4144.

Question 31Numbers 1 to 5 are written on separate slips, i.e. one number on one slip and put in a box. Wahida pick a slip from the box without looking at it. What is the probability that the slip bears an odd number?(a) 15(b) 25(c) 35(d) 45

Answer»

Question 31

Numbers 1 to 5 are written on separate slips, i.e. one number on one slip and put in a box. Wahida pick a slip from the box without looking at it. What is the probability that the slip bears an odd number?

(a) $\frac{1}{5}$

(b) $\frac{2}{5}$

(c) $\frac{3}{5}$

(d) $\frac{4}{5}$

Discussion

4145.	Question 1(vii)Use a suitable identity to get each of the following products:(6x−7)(6x+7)
Answer» Question 1(vii) Use a suitable identity to get each of the following products: $(6 x - 7) (6 x + 7)$

Discussion

4146.	w2 - 4u2 =
Answer» w² - 4u² =

Discussion

4147.	The most suitable average for qualitative measurement is (a) arithmetic mean (b) median (c) mode (d) geometric mean (e) none of the above
Answer» The most suitable average for qualitative measurement is (a) arithmetic mean (b) median (c) mode (d) geometric mean (e) none of the above

4147.

The most suitable average for qualitative measurement is (a) arithmetic mean (b) median (c) mode (d) geometric mean (e) none of the above

Answer»

The most suitable average for qualitative measurement is

(a) arithmetic mean

(b) median

(c) mode

(d) geometric mean

(e) none of the above

Discussion

4148.	The CP of 21 article is equal to the SP of 18 articles . Find the gain%
Answer» The CP of 21 article is equal to the SP of 18 articles . Find the gain%

Discussion

4149.	Construct the following quadrilaterals.(i) Quadrilateral ABCDAB = 4.5 cmBC = 5.5 cmCD = 4 cmAD = 6 cmAC = 7 cm(ii) Quadrilateral JUMPJU = 3.5 cmUM = 4 cmMP = 5 cmPJ = 4.5 cmPU = 6.5 cm(iii) Parallelogram MOREOR = 6 cmRE = 4.5 cmEO = 7.5 cm(iv) Rhombus BESTBE = 4.5 cmET = 6 cm
Answer» Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm (ii) Quadrilateral JUMP JU = 3.5 cm UM = 4 cm MP = 5 cm PJ = 4.5 cm PU = 6.5 cm (iii) Parallelogram MORE OR = 6 cm RE = 4.5 cm EO = 7.5 cm (iv) Rhombus BEST BE = 4.5 cm ET = 6 cm

4149.

Construct the following quadrilaterals.(i) Quadrilateral ABCDAB = 4.5 cmBC = 5.5 cmCD = 4 cmAD = 6 cmAC = 7 cm(ii) Quadrilateral JUMPJU = 3.5 cmUM = 4 cmMP = 5 cmPJ = 4.5 cmPU = 6.5 cm(iii) Parallelogram MOREOR = 6 cmRE = 4.5 cmEO = 7.5 cm(iv) Rhombus BESTBE = 4.5 cmET = 6 cm

Answer»

Construct the following quadrilaterals.

(i) Quadrilateral ABCD

AB = 4.5 cm

BC = 5.5 cm

CD = 4 cm

AD = 6 cm

AC = 7 cm

(ii) Quadrilateral JUMP

JU = 3.5 cm

UM = 4 cm

MP = 5 cm

PJ = 4.5 cm

PU = 6.5 cm

(iii) Parallelogram MORE

OR = 6 cm

RE = 4.5 cm

EO = 7.5 cm

(iv) Rhombus BEST

BE = 4.5 cm

ET = 6 cm

Discussion

4150.	The divisibility rule of 7 states that if a number is divisible by 7 then the last digit doubled and subtracted from the remaining number should be 0 or divisible by ___.
Answer» The divisibility rule of 7 states that if a number is divisible by 7 then the last digit doubled and subtracted from the remaining number should be 0 or divisible by ___.

Discussion

Explore topic-wise InterviewSolutions in .

Which of the following statement is true regarding the given figure?

Question 50If rs is a rational number, then s cannot be equal to zero.

(0.8)3 = ? (a) 51.2 (b) 5.12 (c) 0.512 (d) none of these

Choose the correct option: If two angles are supplementary, then their sum is ___________ A. 90° B. 180° C. 270° D. 360°

Question 64Getting a prime number on throwing a die is an event. ?

41.the sides of a quadrilateral are 3,4,5 and 6cms. the sum of a pair of opposite angles is 120^° . show that the area of the quadrilateral is 3 root30 sq.cm.

What is the equation of altitudes in the ortho center of triangle?

mrs Roy loves gardening and has 2040 plants.she wants to plant these in such a way that the number of rows and the columns remain the same.find the menimum number of plants she needs more for this

Which shaded portion of the grid shows a decrease of 25%.

Find 37+(−611)+(−821)+(522).

Which of the following expressions are not polynomials : (i) x2+2x−2 (ii) √ax+x2−x3 (iii) 3y3−√5y+9 (iv) ax12+ax+9x2+4 (v) 3x−2+2x−1+4x+5

47. x - (2)(y)-( x square )+( 4 )(y square.)

The altitude of a triangle is three-fifth the length of its base. If the altitude is increased by 4 cm and the base is decreased by 2 cm, the area of the triangle remains the same. Find the base of the triangle in cm. [Area of triangle = 12×base×height]

Question 57In the following question, fill in the blanks to make the statements true.The usual form fo 2.3×1010 is ___ .

What fraction does the shaded portion represent?

The sum of first 25 odd numbers is:

There are three points given on a plane. How many circles can be drawn passing through all three points?

Question 108(ii) Verify the property x×y=y×x of rational numbers by using x=23 and y=94

In a triangle ABC, A- B = 120^° and the circumradius is8 times the inradius of the triangle, then the value of cosC equal to

A bicycle dealer buys 30 Razorback cycles for ₹ 48000. Of these, 10 are with gears and the rest are without gears. At what price must he sell each geared cycle so that if he sells the non - geared ones at 34 of their cost price, he makes a profit of 40% on his total outlay.

Which among the following has the most number of diagonals?

Number of divisor of the form (4n+2), n0 of the integer 240.

(Exploration) Find all perfect squares from 1 to 500, each of which is a sum of two perfect squares.

Square of which of the following numbers will not have 6 at their unit's place : (i) 35 (ii) 23 (iii) 64 (iv) 76 (v) 98

Steve conducts a survey of 15 villages of a locality and finds out the number of teachers in each village. The observations are as follows: 3, 3, 3, 2, 2, 1, 2, 3, 4, 4, 4, 4, 4, 1, 1. Which is the correct frequency table?

What is the minimum variation between the diagonals of rhombus. can there be a rhombus whose one diagonal is 1 cm and another diagonal is 100m

In a half-subtractor circuit with X and Y as inputs, the Borrow (M) and Difference (N = X -Y) are given by

Explain surds and give examples?

Question 5 −38+17=17+(−38) is an example to show that (a) addition of rational numbers is commutative. (b) rational numbers are closed under addition. (c) addition of rational number is associative. (d) rational numbers are distributive under addition

A sum of money triples itself in 8 years. Find the rate of interest.

Question 10.1 .Two persons could fit new windows in a house in 3 days.One of the persons fell ill before the work started. How long would the job take now?

Question 5 In figure, two line segments AC and BD intersect each other at the point P such that PA=6cm,PB=6cm,PC=3cm,PC=2.5cm,PD=5cm,∠APB=50∘ and ∠CDP=30∘ Then ∠PBA is equal to (A) 50∘ (B) 30∘ (C) 60∘ (D) 100∘

Prove by P.M.I that}2.7^n+3.5^n-5 is divisible by }24

find the amount and the compound interest on rs 1,60,000 for 2.5 years at 20 percent per anum the interest is compounded half yearly

Find the cube root of the following by looking at the last digit and using estimation:(i) 91125; (ii) 166375; (iii) 704969.

Question 85 (x)Expand the following, using suitable identities.(2x−5y)(2x−5y)

factorise x^11 + 2^22

the slope of a line 3x-5y=8 is

Draw a line MN=5.8cm. Locate point A which is 4.5cm from M and 5cm from N. Through A draw a line parallel to line MN.

Question 12What is the maximum number of obtuse angles that a quadrilateral can have?a) 1b) 2c) 3d) 4

5t-3=3t-5

Expand (79)3.

10!8! is simplifies to .

Question 31Numbers 1 to 5 are written on separate slips, i.e. one number on one slip and put in a box. Wahida pick a slip from the box without looking at it. What is the probability that the slip bears an odd number?(a) 15(b) 25(c) 35(d) 45

Question 1(vii)Use a suitable identity to get each of the following products:(6x−7)(6x+7)

w2 - 4u2 =

The most suitable average for qualitative measurement is (a) arithmetic mean (b) median (c) mode (d) geometric mean (e) none of the above

The CP of 21 article is equal to the SP of 18 articles . Find the gain%

Construct the following quadrilaterals.(i) Quadrilateral ABCDAB = 4.5 cmBC = 5.5 cmCD = 4 cmAD = 6 cmAC = 7 cm(ii) Quadrilateral JUMPJU = 3.5 cmUM = 4 cmMP = 5 cmPJ = 4.5 cmPU = 6.5 cm(iii) Parallelogram MOREOR = 6 cmRE = 4.5 cmEO = 7.5 cm(iv) Rhombus BESTBE = 4.5 cmET = 6 cm

The divisibility rule of 7 states that if a number is divisible by 7 then the last digit doubled and subtracted from the remaining number should be 0 or divisible by ___.