3694 + Interview Questions in Maths in Class 10 Page 54 InterviewSolution

2651.	In a badminton match between Rajesh and Joseph, the probability of winning of Rajesh is 0.58. Find the probability of : (ii) winning of Joseph.
Answer» ANSWER :`0.42`

Discussion

2652.	In a badminton match between Rajesh and Joseph, the probability of winning of Rajesh is 0.58. Find the probability of : (i) not winning of Rajesh,
Answer» ANSWER :`0.42`

Discussion

2653.	Write the following rationals in decimal form using 13/25
Answer» ANSWER :0.52

Discussion

2654.	Show that (x - 1) is a factor of x^(3)-7x^(2)+14x-8 Hence, completely factorise the given expression.
Answer» ANSWER :(x-1) (x-2) (x-4)

Discussion

2655.	To find the cost of one share at the time of buying the amount of Brokerage and GST is to be .....MV of share.
Answer» ADDED to subtracted from Multiplied with DIVIDED by ANSWER :A

Discussion

2656.	An open cylindrical vessel of internal diameter 7 cm and height 8 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 3 (1)/(2) cm and height 8 cm. Find the volume of water required to fill the vessel. If this cone is replaced by another cone, whose height is 1 (3)/(4)cmand the radius of whose base is 2 cm, find the drop in the water level.
Answer» ANSWER :`282.33 CM ^(3); (10)/(21) cm`

Discussion

2657.	Draw a circle of radius 6 cm . Form a point 10 cm away from its centre , construct the pair of tangents to the circle and measure their lengths. Verify by using Pythagoras Theorem .
Answer» ANSWER :AP is a TANGENT BP is a tangent

Discussion

2658.	Which of the following sets are equal? B={x:x is a letter in the word FLOW}
Answer» ANSWER :They are EQUAL SETS.

Discussion

2659.	If in equation a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0,(a_(1))/(a_(2))=(b_(1))/(b_(2))ne(c_(1))/(c_(2)) then which of the following is true?
Answer» UNIQUE solution No solution Infinite solution None of these Answer :B

Discussion

2660.	Show that 2x + 7 is a factor of 2x^3 + 7x^2 - 4x - 14 Hence, solve the equation: 2x^3 + 7x^2 - 4x - 14 = 0.
Answer» ANSWER :`(-7)/2,sqrt2=1.4,-2sqrt2=-1.41`

Discussion

2661.	Find the variance for the following Data:
Answer» ANSWER :`SQRT(129)`

Discussion

2662.	If triangle ABC~trianglePQRand(AB)/(PQ)=(7)/(5), then………….
Answer» `TRIANGLEABC` is BIGGER `TRIANGLE PQR` is bigger Both TRIANGLES will be equal Cannot be decided Answer :A

Discussion

2663.	The value of sum_(i=1)^(n) (x_(i)-barx)where is the arithmeticmean of x_iis
Answer» 1 0 `nbarx` NONE of these ANSWER :B

Discussion

2664.	In the inequation2+ ( 3x-1)/( 5) le (2x- 1)/( 4)+ 3,write the greatestvalue of x, when x is a natural number
Answer» ANSWER :` 9 `

Discussion

2665.	Find the roots of the following quadratic equations, if they exist. 5x^(2)-7x-6=0
Answer» ANSWER :`2,(-3)/(5)`

Discussion

2666.	Find the area of the triangle whose vertices are : (1) (2,3), (-1, 0), (2,-4) (2) (-5, -1),(3,-5), (5,2)
Answer» ANSWER :`(21)/(2)` SQ UNITS

Discussion

2667.	If the median of the distribution given below is 28.5, find the values of x and y .
Answer» ANSWER :X = 8 y = 7

Discussion

2668.	The point P (5, 3) was reflected in the origin to get the image P'. If N is the foot of the perpendicular from P' to the x-axis, find the co-ordinates of N.
Answer» ANSWER :(-5,0)

Discussion

2669.	If A=[(1, 2, 3), (3, 2, 1)], B=[(1, 2, 3), (3, 2, 1)] and C=[(0, 1), (-2, 5)] which of the following statements are correct? (i)AB+C=[(5, 5), (5, 5)](ii)BC=[(0, 1), (2, -3), (-4, 10)] (iii)BA+C=[(2, 5), (3, 0)] (iv) (AB)C=[(-8, 20), (-8, 13)]
Answer» (i) and (II) only (ii) and (III) only (iii) and (IV) only all of these Answer :A

Discussion

2670.	DeltaAMT~DeltaAHE and (MA)/(HA)=7/5thenwhich of the following is true ?
Answer» A-H-M A-M-H M-A-H A-T-E Answer :A

Discussion

2671.	Find the sum ofthe first 40 positive integers divisible by 6.
Answer» ANSWER :4920

Discussion

2672.	Two APs have the same common difference The difference between their 100th terms is 100 , what is the difference between their 1000th terms ?
Answer» ANSWER :100

Discussion

2673.	Find the perimeter and area of the quadrilaterals formed by the given point.s Mention the type of quadrilateral formed. (i) (0,3) , (4,0), (0,-8) , (-4,0) (ii) (5,0) , (0,-5), (0,-9), (9, 0) (iii) (5, 3) , (5, - 3) , (10, - 6) , (10, 6)
Answer» Answer :22 SQ. unts.(ii) 8 + 14 `sqrt(2)` units.(iii) 45 sq. units.

Discussion

2674.	The sum of first n terms of an AP is 3n^(2) + 4n. Find: a] a_(25) b] a_(10)
Answer» ANSWER :a] `= 151` B] `= 61`.

Discussion

2675.	Write three terms of the GP when the first term 'a' and the common ratio 'r' are given? (i) a=4, r=3 (ii) a=sqrt(5), r=1/5 (iii) a= 81, r=-1/3, (iv) a= 1/64, r=2
Answer» ANSWER :(i) 4,12,36……, (ii) `sqrt(5), sqrt(5)/2, sqrt(5)/25`,….. (iii) 81, `- 27, 9`,……. (iv) `1/64, 1/32, 1/16`,…..,…

Discussion

2676.	A is B's Sister. C is B's mother. D is C's father. E is D's mother. How is A related to D?
Answer» Grand mother Daughter Grand father Grand-daughter SOLUTION :A is the sister of B and B is the son/daughter of C. SOA is the daughter of C. Also D is the father of C. THUS A is the grand daughter of D.

Discussion

2677.	Show That (3, -2) is the 3rd verlex of a Delta ABC where A (2. 3), B (-2,1), and centroid is G (1, 2/3).
Answer» ANSWER :C is (3, -2).

Discussion

2678.	Arati Gas Agency supplied LPG cylinder to the consumer for taxable value of 545. GST charged is 5%. What is the amount of CGST and SGST in the tax invoice? What is the total amount paid by the consumer? Find the amount of GST to be paid by Arati Gas Agency.
Answer» ANSWER :CGST=SGST=13.63 AMOUNT PAID by consumer=572.26 TOTAL GST =27.26

Discussion

2679.	For a circle of radius 5 cm two tangents barPA and barPB are drawn from a point P.If PA=12 cm and anglePAB=60^(@),then the length of barAB is:
Answer» 10cm 12cm 2.5 cm 6cm Answer :B

Discussion

2680.	If GIVE is coded as 5137 and BAT is coded as 924, how is GATE coded?
Answer» 5427 2547 5247 5724 Solution :Clearly it can be seen that G is coded as 5, A as 2, T as 4 and E as 7. So the code for GATE is 5247

Discussion

2681.	Check whether the following equations are consistent or inconsistent. Solve them graphically. (h) 2x + y-6 = 0 4x - 2y - 4 = 0
Answer» ANSWER :CONSISTENT

Discussion

2682.	Which term of A.P. 5, 15, 25,………….. will be 130 more than its 31st term ?
Answer» ANSWER :44TH TERM

Discussion

2683.	1/sqrt(2) is
Answer» a fraction a RATIONAL number an IRRATIONAL number none of these Answer :C

Discussion

2684.	A vessel is in the form of an inverted cone. Its height is 8 cm and radius of its top, which is open, is 5 cm. It is filled with water upto the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one fourth of the water flows out. Find the number of lead shots dropped in the vessel.
Answer» ANSWER :100

Discussion

2685.	Show that a_(1), a_(2), ….,a_(n),… form an A.P where an is defined as below : (i) a_(n) = 3 + 4n (ii) a_(n) = 9 - 5n. Also find the sum of the first 15 terms in each case.
Answer» ANSWER :(i) 525, (II) `- 465`

Discussion

2686.	The vertices of DeltaPQR are P(6, -2) Q(0, -6) and R(4, 8) find the co-ordinates of mid points of PQ & PR and QR. If point C(-1, 2) divides internally the line segments joining the points A(2, 5) and b (x, y) in the ratic 3:4 . Find the value of x^(2)+y^(2)
Answer» Answer :`:.` The co-ordinates of the mid-points of AB, BC and AC are D(3, -4) E(2, 1) F(5, 3) OR 29

Discussion

2687.	Find the value of a, if the division of ax^3+ 9x^2 +4x -10 by x + 3 leaves a remainder 5.
Answer» ANSWER :2

Discussion

2688.	Atriangle ABCisformed by the points A ( 2 , 3) , B ( - 2 , - 3) , C (4 , - 3) . What is the point of intersection of side BC and angular bisector of angle A ?
Answer» ANSWER :`=(24 - 2 SQRT( 130) , - 3)`

Discussion

2689.	150 workers were engaged to finish a piece of work in a certain number of days. Four workers dropped from the work on the second day. Four workers dropped on third day and so on. It took 8 more days to finish the work. Find the number of days in which the work was completed. [Let the no.of days to finish the work is 'r' then 150 x = (x+8)/2 [2 xx 150 + (x+8-1)(-4)]
Answer» ANSWER :X = 17 `rArr x + 8 = 17 + 8 = 25`

Discussion

2690.	If tan = 2A = cot (A - 18^@) , where 2A is an acute angle, then find the value of A.
Answer» ANSWER :2

Discussion

2691.	Choose the best alternative as the answer- A lotus always has
Answer» Petals Mud Root Water Answer :A

Discussion

2692.	Prove that (cotA+cosecA-1)/(cotA-cosecA+1)=(1+cosA)/(sinA).
Answer»

Discussion

2693.	A sum of 8000 is invested at 10% simple interest per annum. Calculate the interest at the end of each year. Does the sequence of interests at the end of consecutive years form an A.P.? If yes write its first term and the common difference.
Answer» ANSWER :800

Discussion

2694.	During the medical check-up of 35 students of a class, their weights were recorded as follows : Draw a less than type ogive for the given data. Hence, obtain the median weight from the graph and verify the result by using the formula.
Answer» Answer :Draw the ogive by plotting the points : (38, 0), (40, 3), (42, 5), (44, 9), (46, 14), (48, 28), (50, 32) and (52, 35). Here `n/2 = 17.5` . Locate the POINT on the ogive WHOSE ordinate is 17.5 . The x-coordinate of this point will be the median.

Discussion

2695.	Use graph paper for this question. Take 2cm=1 unit on both the axes. Measure and record the lengh PA in cm.
Answer» ANSWER :5.18 CM

Discussion

2696.	Calculate the money required to buy : (i) 350, 20rs shares at a premium of 7rs. (ii) 275, 60rs shares at discount of 10rs. (iii) 50, 40rs shares quoted at 38.50rs.
Answer» ANSWER :`(i) 9450rs` `(II) 13750rs` `(III) 1925rs`

Discussion

2697.	A G.P. has first term a=3, last term l=96 and sum of n terms S=189. Find the number of terms in it.
Answer» ANSWER :`n=6`

Discussion

2698.	A right circular cylinder has base radius 14 cm and height 21 cm. Find its area of base (or area of each end)
Answer» ANSWER :`616 cm^2`

Discussion

2699.	If Z=52 and ACT=48, then BAT will be equal to
Answer» 39 41 44 46 Solution :In the GIVEN code, A=2, B=4, C=6…..Z=52 So ACT `=2 + 6+ 40=48` `:.` BAT `=4 +2 + 40= 46`

Discussion

2700.	Mr. Manish age 30 years , is employed in a private company . His total annual income is Rs. 8,40,000 . He has contributed Rs. 40,000 to Public Provident Fund, paid a premium of Rs. 34,000 for yearly health insurance and donatedRs. 10,000 to CM's flood relief fund. Find his taxable income.
Answer» ANSWER :RS. 7,56,000

Discussion

Explore topic-wise InterviewSolutions in .

In a badminton match between Rajesh and Joseph, the probability of winning of Rajesh is 0.58. Find the probability of : (ii) winning of Joseph.

In a badminton match between Rajesh and Joseph, the probability of winning of Rajesh is 0.58. Find the probability of : (i) not winning of Rajesh,

Write the following rationals in decimal form using 13/25

Show that (x - 1) is a factor of x^(3)-7x^(2)+14x-8 Hence, completely factorise the given expression.

To find the cost of one share at the time of buying the amount of Brokerage and GST is to be .....MV of share.

Draw a circle of radius 6 cm . Form a point 10 cm away from its centre , construct the pair of tangents to the circle and measure their lengths. Verify by using Pythagoras Theorem .

Which of the following sets are equal? B={x:x is a letter in the word FLOW}

If in equation a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0,(a_(1))/(a_(2))=(b_(1))/(b_(2))ne(c_(1))/(c_(2)) then which of the following is true?

Show that 2x + 7 is a factor of 2x^3 + 7x^2 - 4x - 14 Hence, solve the equation: 2x^3 + 7x^2 - 4x - 14 = 0.

Find the variance for the following Data:

If triangle ABC~trianglePQRand(AB)/(PQ)=(7)/(5), then………….

The value of sum_(i=1)^(n) (x_(i)-barx)where is the arithmeticmean of x_iis

In the inequation2+ ( 3x-1)/( 5) le (2x- 1)/( 4)+ 3,write the greatestvalue of x, when x is a natural number

Find the roots of the following quadratic equations, if they exist. 5x^(2)-7x-6=0

Find the area of the triangle whose vertices are : (1) (2,3), (-1, 0), (2,-4) (2) (-5, -1),(3,-5), (5,2)

If the median of the distribution given below is 28.5, find the values of x and y .

The point P (5, 3) was reflected in the origin to get the image P'. If N is the foot of the perpendicular from P' to the x-axis, find the co-ordinates of N.

If A=[(1, 2, 3), (3, 2, 1)], B=[(1, 2, 3), (3, 2, 1)] and C=[(0, 1), (-2, 5)] which of the following statements are correct? (i)AB+C=[(5, 5), (5, 5)](ii)BC=[(0, 1), (2, -3), (-4, 10)] (iii)BA+C=[(2, 5), (3, 0)] (iv) (AB)C=[(-8, 20), (-8, 13)]

DeltaAMT~DeltaAHE and (MA)/(HA)=7/5thenwhich of the following is true ?

Find the sum ofthe first 40 positive integers divisible by 6.

Two APs have the same common difference The difference between their 100th terms is 100 , what is the difference between their 1000th terms ?

Find the perimeter and area of the quadrilaterals formed by the given point.s Mention the type of quadrilateral formed. (i) (0,3) , (4,0), (0,-8) , (-4,0) (ii) (5,0) , (0,-5), (0,-9), (9, 0) (iii) (5, 3) , (5, - 3) , (10, - 6) , (10, 6)

The sum of first n terms of an AP is 3n^(2) + 4n. Find: a] a_(25) b] a_(10)

Write three terms of the GP when the first term 'a' and the common ratio 'r' are given? (i) a=4, r=3 (ii) a=sqrt(5), r=1/5 (iii) a= 81, r=-1/3, (iv) a= 1/64, r=2

A is B's Sister. C is B's mother. D is C's father. E is D's mother. How is A related to D?

Show That (3, -2) is the 3rd verlex of a Delta ABC where A (2. 3), B (-2,1), and centroid is G (1, 2/3).

Arati Gas Agency supplied LPG cylinder to the consumer for taxable value of 545. GST charged is 5%. What is the amount of CGST and SGST in the tax invoice? What is the total amount paid by the consumer? Find the amount of GST to be paid by Arati Gas Agency.

For a circle of radius 5 cm two tangents barPA and barPB are drawn from a point P.If PA=12 cm and anglePAB=60^(@),then the length of barAB is:

If GIVE is coded as 5137 and BAT is coded as 924, how is GATE coded?

Check whether the following equations are consistent or inconsistent. Solve them graphically. (h) 2x + y-6 = 0 4x - 2y - 4 = 0

Which term of A.P. 5, 15, 25,………….. will be 130 more than its 31st term ?

1/sqrt(2) is

Show that a_(1), a_(2), ….,a_(n),… form an A.P where an is defined as below : (i) a_(n) = 3 + 4n (ii) a_(n) = 9 - 5n. Also find the sum of the first 15 terms in each case.

The vertices of DeltaPQR are P(6, -2) Q(0, -6) and R(4, 8) find the co-ordinates of mid points of PQ & PR and QR. If point C(-1, 2) divides internally the line segments joining the points A(2, 5) and b (x, y) in the ratic 3:4 . Find the value of x^(2)+y^(2)

Find the value of a, if the division of ax^3+ 9x^2 +4x -10 by x + 3 leaves a remainder 5.

Atriangle ABCisformed by the points A ( 2 , 3) , B ( - 2 , - 3) , C (4 , - 3) . What is the point of intersection of side BC and angular bisector of angle A ?

If tan = 2A = cot (A - 18^@) , where 2A is an acute angle, then find the value of A.

Choose the best alternative as the answer- A lotus always has

Prove that (cotA+cosecA-1)/(cotA-cosecA+1)=(1+cosA)/(sinA).

A sum of 8000 is invested at 10% simple interest per annum. Calculate the interest at the end of each year. Does the sequence of interests at the end of consecutive years form an A.P.? If yes write its first term and the common difference.

During the medical check-up of 35 students of a class, their weights were recorded as follows : Draw a less than type ogive for the given data. Hence, obtain the median weight from the graph and verify the result by using the formula.

Use graph paper for this question. Take 2cm=1 unit on both the axes. Measure and record the lengh PA in cm.

Calculate the money required to buy : (i) 350, 20rs shares at a premium of 7rs. (ii) 275, 60rs shares at discount of 10rs. (iii) 50, 40rs shares quoted at 38.50rs.

A G.P. has first term a=3, last term l=96 and sum of n terms S=189. Find the number of terms in it.

A right circular cylinder has base radius 14 cm and height 21 cm. Find its area of base (or area of each end)

If Z=52 and ACT=48, then BAT will be equal to

Mr. Manish age 30 years , is employed in a private company . His total annual income is Rs. 8,40,000 . He has contributed Rs. 40,000 to Public Provident Fund, paid a premium of Rs. 34,000 for yearly health insurance and donatedRs. 10,000 to CM's flood relief fund. Find his taxable income.