25365 + Interview Questions in Mathematics Page 189 InterviewSolution

9401.	Both Arjun and Rahul went for jogging and stopped at a place where kids were playing on a slide as shown below: Two slides which are directed in the two opposite directions are combined by a vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Two kids Mia and Anu reached down after sliding down. How much distance has Mia to walk from A to reach Anu who is at B if AC = 5 m and width of the stairs = 1 m?
Answer» Both Arjun and Rahul went for jogging and stopped at a place where kids were playing on a slide as shown below: Two slides which are directed in the two opposite directions are combined by a vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Two kids Mia and Anu reached down after sliding down. How much distance has Mia to walk from A to reach Anu who is at B if AC = 5 m and width of the stairs = 1 m?

9401.

Both Arjun and Rahul went for jogging and stopped at a place where kids were playing on a slide as shown below: Two slides which are directed in the two opposite directions are combined by a vertical stairs in the midway between the two sliders. The lengths of both the slides are same. Two kids Mia and Anu reached down after sliding down. How much distance has Mia to walk from A to reach Anu who is at B if AC = 5 m and width of the stairs = 1 m?

Answer»

Both Arjun and Rahul went for jogging and stopped at a place where kids were playing on a slide as shown below:

Two slides which are directed in the two opposite directions are combined by a vertical stairs in the midway between the two sliders. The lengths of both the slides are same.

Two kids Mia and Anu reached down after sliding down. How much distance has Mia to walk from A to reach Anu who is at B if AC = 5 m and width of the stairs = 1 m?

9402.	The cost of a car goes down every year by 20% of its previous value. Find its original cost if the cost of it after 2 years is Rs 5,65,000.?
Answer» The cost of a car goes down every year by 20% of its previous value. Find its original cost if the cost of it after 2 years is Rs 5,65,000.?

9403.	2+22+23+24+25+26 =___
Answer» $2 + 2^{2} + 2^{3} + 2^{4} + 2^{5} + 2^{6}$ =___

9404.	Which expression matches the statement "add 5x and 3x and then subtract the so obtained result from 12y”?
Answer» Which expression matches the statement "add 5x and 3x and then subtract the so obtained result from 12y”?

9405.	Question 5(v) Show that: (a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0
Answer» Question 5(v) Show that: (a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0

9406.	The numbers of absentees in a class were recorded during a week. On which day, maximum students were absent?
Answer» The numbers of absentees in a class were recorded during a week. On which day, maximum students were absent?

9407.	In a direct impact, loss in kinetic energy is given byΔK=M1M22(M1+M2).(V1−V2)2(1−k2)with usual notations (except k). The quantity k will have dimensional formula:
Answer» In a direct impact, loss in kinetic energy is given by $Δ K = \frac{M_{1} M_{2}}{2 (M_{1} + M_{2})} . (V_{1} - V_{2})^{2} (1 - k^{2})$ with usual notations (except k). The quantity k will have dimensional formula:

9408.	What is the sum of the first n positive integers? [1 MARK]
Answer» What is the sum of the first n positive integers? [1 MARK]

9409.	What is (x+1x)2?
Answer» What is $(x + \frac{1}{x})^{2}$ ?

9410.	An isosceles triangle has a perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.
Answer» An isosceles triangle has a perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

9412.	Question 2(iv) Express the following numbers in usual form: 1.0001×109
Answer» Question 2(iv) Express the following numbers in usual form: $1.0001 \times 10^{9}$

9414.	The value of 642 is equal to
Answer» The value of $64^{2}$ is equal to

9415.	All squares are ____.
Answer» All squares are ____.

9416.	In figure, if ABIIDC and AC, PQ intersect each other at the point O. Prove that OA.CQ = OC.AP.
Answer» In figure, if ABIIDC and AC, PQ intersect each other at the point O. Prove that OA.CQ = OC.AP.

9417.	Question 17Find and correct the errors in the statement: 3x2+13x2=1+1=2
Answer» Question 17 Find and correct the errors in the statement: $\frac{3 x^{2} + 1}{3 x^{2}} = 1 + 1 = 2$

9418.	A and B together can do a piece of work in 623 days; but B alone can do it in 10 days. How long will A take to do it alone?
Answer» A and B together can do a piece of work in $6 \frac{2}{3}$ days; but B alone can do it in 10 days. How long will A take to do it alone?

9419.	If the difference between an exterior angle of an (n - 1) sided regular polygon and an (n + 1) sided regular polygon is 9∘, the find the value of ‘n’.
Answer» If the difference between an exterior angle of an (n - 1) sided regular polygon and an (n + 1) sided regular polygon is $9^{\circ}$ , the find the value of ‘n’.

9420.	The decimal value of 4 abcd8 dcba is___
Answer» The decimal value of $\frac{4 a b c d}{8 d c b a}$ is___

9421.	Third exterior angle of a triangle with two exterior angles 90o and 135o is _______ .
Answer» Third exterior angle of a triangle with two exterior angles 90^o and 135^o is _______ .

9422.	How to derive that vector product gives area of parallelogram?
Answer» How to derive that vector product gives area of parallelogram?

9423.	Find the length of the side of a cube whose volume is 140608 cm² ?
Answer» Find the length of the side of a cube whose volume is 140608 cm² ?

9424.	If I divide 487 by 100 what is the remainder?
Answer» If I divide 487 by 100 what is the remainder?

9425.	The given diagram shows a relation between the elements of A and B.If we denote the elements of A by x and those of B by y.What will be the relationship between x and y ?
Answer» The given diagram shows a relation between the elements of $A$ and $B$ . If we denote the elements of A by $x$ and those of B by $y$ . What will be the relationship between $x$ and $y$ ?

9426.	Q 14/30 The limiting radius ratios of the complexes\lbrack Ni(CN)41-2 & \lbrack Nicl4-2 are respectively
Answer» Q 14/30 The limiting radius ratios of the complexes\lbrack Ni(CN)41-2 & \lbrack Nicl4-2 are respectively

9429.	Question 1Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle.
Answer» Question 1 Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle.

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The cost of a car goes down every year by 20% of its previous value. Find its original cost if the cost of it after 2 years is Rs 5,65,000.?

2+22+23+24+25+26 =___

Which expression matches the statement "add 5x and 3x and then subtract the so obtained result from 12y”?

Question 5(v) Show that: (a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0

The numbers of absentees in a class were recorded during a week. On which day, maximum students were absent?

In a direct impact, loss in kinetic energy is given byΔK=M1M22(M1+M2).(V1−V2)2(1−k2)with usual notations (except k). The quantity k will have dimensional formula:

What is the sum of the first n positive integers? [1 MARK]

What is (x+1x)2?

An isosceles triangle has a perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

Question 1 (g) State whether true or false. (g) All parallelograms are trapeziums.

Question 2(iv) Express the following numbers in usual form: 1.0001×109

Question 5 (ii)Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:1750

The value of 642 is equal to

All squares are ____.

In figure, if ABIIDC and AC, PQ intersect each other at the point O. Prove that OA.CQ = OC.AP.

Question 17Find and correct the errors in the statement: 3x2+13x2=1+1=2

A and B together can do a piece of work in 623 days; but B alone can do it in 10 days. How long will A take to do it alone?

If the difference between an exterior angle of an (n - 1) sided regular polygon and an (n + 1) sided regular polygon is 9∘, the find the value of ‘n’.

The decimal value of 4 abcd8 dcba is___

Third exterior angle of a triangle with two exterior angles 90o and 135o is _______ .

How to derive that vector product gives area of parallelogram?

Find the length of the side of a cube whose volume is 140608 cm² ?

If I divide 487 by 100 what is the remainder?

The given diagram shows a relation between the elements of A and B.If we denote the elements of A by x and those of B by y.What will be the relationship between x and y ?

Q 14/30 The limiting radius ratios of the complexes\lbrack Ni(CN)41-2 & \lbrack Nicl4-2 are respectively

Question 94What is the percentage increase or decrease in the number of seats won by A, B, C and D in the genetal elections of 2009 as compated to the results of 2004 ?Political partyNumber of seats won in 2004Number of seats won in 2009A206145B116138C424D1112

Question 1Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle.

Find the square root of the following decimal numbers:42.25

Find the difference in m2 between the area of regular hexagonal plot each of whose side is 72 m and the area of the circular swimming pool inscribed in it. (Take π=227). [4 MARKS]

Which of the following numbers have an irrational number square root?

A car is worth ₹5,00,000. Its value depreciates 20% every year, then find its value after 3 years.

The product of two rational numbers is 4235 . If one of the number is 47 then find the other rational number.

The number 456318 is divisible by:

The multiplicative inverse of 3 - 4i is

All the maths formulas for mensuration

Simplify each of the following products:(i) 12a-3b 3b+12a 14a2+9b2(ii) m+n73 m-n7

x+π÷ x™3+3x™2+3x+1

Expand (x - 13)(x -10)

42. In the given figure, ABCD is a parallelogram and triangle BXC and triangle AYD are such that BX=DY and CX = AY. Prove that I) BX is parallel to DY II) XY and BD bisects each other

If the area of the triangle is 24 square units, what is the area (in square units) of the semicircle in it?

Question 2 A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cube and cut-out cubes ? (a) 1 : 2 (b) 1 :3 (c) 1 : 4 (d) 1 : 6

Which of the following number can be expressed as sum of two cubes in two different ways?

Question 5 (a) (a) How many sides does a regular polygon have if each of its interior angle as 22∘?

The heights (in cm) of students of a class is tabulated below.HeightNumber of students150−1544155−1593160−1642165−1691170−1742175−1792180−1844185−1892Total20Identify the correct option (s).

Show that the points A, B and C with position vectors a⃗ =3i^−4j^−4k^, b⃗ =2i^−j^+k^ and c⃗ =i^−3j^−5k^ form the vertices of a right-angled triangle.

Divide using factorization: { (a) (a^{12+a^6b^6+b^{12) by (a^6-a^3b^3+b^6) { (b) (x^8-y^3) by (x^3+xy^2+x^2y+y^3)

Compute each of the following:(a). 15+(-5)+15+(-7)(b). 34+(-20)+16+(-10)(c). 32+16+9+(-70)

If two points on a line segment subtend identical angles at two other points lying on the same side of the line, then all four points will lie on

9431.	Find the difference in m2 between the area of regular hexagonal plot each of whose side is 72 m and the area of the circular swimming pool inscribed in it. (Take π=227). [4 MARKS]
Answer» Find the difference in $m^{2}$ between the area of regular hexagonal plot each of whose side is 72 m and the area of the circular swimming pool inscribed in it. (Take $π = \frac{22}{7}$ ). [4 MARKS]

9432.	Which of the following numbers have an irrational number square root?
Answer» Which of the following numbers have an irrational number square root?

9433.	A car is worth ₹5,00,000. Its value depreciates 20% every year, then find its value after 3 years.
Answer» A car is worth ₹5,00,000. Its value depreciates 20% every year, then find its value after 3 years.

9434.	The product of two rational numbers is 4235 . If one of the number is 47 then find the other rational number.
Answer» The product of two rational numbers is $\frac{42}{35}$ . If one of the number is $\frac{4}{7}$ then find the other rational number.

9435.	The number 456318 is divisible by:
Answer» The number 456318 is divisible by:

9436.	The multiplicative inverse of 3 - 4i is
Answer» The multiplicative inverse of 3 - 4i is

9437.	All the maths formulas for mensuration
Answer» All the maths formulas for mensuration

9438.	Simplify each of the following products:(i) 12a-3b 3b+12a 14a2+9b2(ii) m+n73 m-n7
Answer» Simplify each of the following products: (i) $(\frac{1}{2} a - 3 b) (3 b + \frac{1}{2} a) (\frac{1}{4} a^{2} + 9 b^{2})$ (ii) ${(m + \frac{n}{7})}^{3} (m - \frac{n}{7})$

9439.	x+π÷ x™3+3x™2+3x+1
Answer» x+π÷ x™3+3x™2+3x+1

9441.	42. In the given figure, ABCD is a parallelogram and triangle BXC and triangle AYD are such that BX=DY and CX = AY. Prove that I) BX is parallel to DY II) XY and BD bisects each other
Answer» 42. In the given figure, ABCD is a parallelogram and triangle BXC and triangle AYD are such that BX=DY and CX = AY. Prove that I) BX is parallel to DY II) XY and BD bisects each other