8677 + Interview Questions in Maths in Class 14 Page 124 InterviewSolution

6151.	if the coordinates of the mid points of the Sides of a triangle are(1,2) ,(0,-1) and (2, -1).Find the coordinates ofits vertices :
Answer» (1, -4),(3, 2),(-1,2) (1, 2),(2, 3),(3, -4) (3, 4),(5, 2),(1, 2) NONE of these Answer :A

Discussion

6152.	a=2b=3c=4d then a:b:c:d is
Answer» 12:3:6:4 3:4:6:12 6:12:4:3 12:6:4:3 Answer :D

Discussion

6153.	Three non-zero real numbers form an A.P. and the squares of these numbers taken in the same order form a G.P. Then the number of all possible common ratio of the G.P. is :
Answer» 1 2 3 none Answer :C

Discussion

6154.	Alfa Ltd is the producer of Toffiee and it used to sell Toffee through distributor on a condition that on selling the stock of every 50 Toffee, he will get Rs 100 as commission . The distributor is responsible to sell all those Toffees to retailers . If he marks the Toffee at the price which is 30 % above the production cost (cost price ) andallows a discout of Y % he sells totalof 'X' Toffees which is 40 less than total received by him to sell to retailers is Rs 78 thousands. The commission received by distributor is Rs 700 and he made a profit aof Rs 14 thousands on selling the Toffees . If distributor allowed two successive discounts if 5% and 12.5 % on markedprice, than find the profit made by distributor on seling of one Toffee ?
Answer» Rs 16.125 Rs 12.225 Rs 17.225 Rs. `15.625` Solution :Given, Commission RECEIVED by the DISTRIBUTOR =Rs. 700 So, the number of TOFFEES sold by distributor `=(700)/(100)xx50=350` Total number of Toffees received by him in the whole stock to sell`=350+40=390` Production cost of ecah Toffee`=(78000)/(390)=Rs. 200` Marked price of each Toffee `=200xx1.3=Rs. 260` Total selling price of 350 Toffees `=350xx200+14000=Rs. 84000` Selling price of each Toffee`=(84000)/(350)=Rs. 240` Discount allow by employee (y) `=(260-240)/(260)xx100=(20)/(260)xx100=7 (9)/(13)%` Selling price `=260xx(95)/(100)xx(7)/(8)=Rs. 216.125` Required PROFIT `=216.125-200=Rs. 16.125`

Discussion

6155.	Alfa Ltd is the producer of Toffiee and it used to sell Toffee through distributor on a condition that on selling the stock of every 50 Toffee, he will get Rs 100 as commission . The distributor is responsible to sell all those Toffees to retailers . If he marks the Toffee at the price which is 30 % above the production cost (cost price ) andallows a discout of Y % he sells totalof 'X' Toffees which is 40 less than total received by him to sell to retailers is Rs 78 thousands. The commission received by distributor is Rs 700 and he made a profit aof Rs 14 thousands on selling the Toffees . Instead of'Y', distributor allow 10 % discout on one Toffee, then percentage profit of distributor ?
Answer» `17%` `15%` `12%` `10%` Solution :Given, Commission received by the DISTRIBUTOR =Rs. 700 So, the number of Toffees SOLD by distributor `=(700)/(100)xx50=350` Total number of Toffees received by him in the whole stock to sell`=350+40=390` Production cost of ecah Toffee`=(78000)/(390)=Rs. 200` Marked price of each Toffee `=200xx1.3=Rs. 260` Total SELLING price of 350 Toffees `=350xx200+14000=Rs. 84000` Selling price of each Toffee`=(84000)/(350)=Rs. 240` Discount allow by employee (y) `=(260-240)/(260)xx100=(20)/(260)xx100=7 (9)/(13)%` New selling price of one Toffee`=260xx(90)/(100)=234` Required profit % `=(234-200)/(200)xx100=17%`

Discussion

6156.	Alfa Ltd is the producer of Toffiee and it used to sell Toffee through distributor on a condition that on selling the stock of every 50 Toffee, he will get Rs 100 as commission . The distributor is responsible to sell all those Toffees to retailers . If he marks the Toffee at the price which is 30 % above the production cost (cost price ) andallows a discout of Y % he sells totalof 'X' Toffees which is 40 less than total received by him to sell to retailers is Rs 78 thousands. The commission received by distributor is Rs 700 and he made a profit aof Rs 14 thousands on selling theToffees . If company added given commission in cost price and he given stock of (X + 450)Toffees to another distributor who Sold all stock, then findnew cost price of one Toffee ?
Answer» R s 220 Rs 202 Rs 204 Rs. 206 Solution :Given, Commission received by the distributor =Rs. 700 So, the number of TOFFEES sold by distributor `=(700)/(100)xx50=350` Total number of Toffees received by him in the whole stock to sell`=350+40=390` Production cost of ecah Toffee`=(78000)/(390)=Rs. 200` Marked price of each Toffee `=200xx1.3=Rs. 260` Total selling price of 350 Toffees `=350xx200+14000=Rs. 84000` Selling price of each Toffee`=(84000)/(350)=Rs. 240` Discount allow by employee (y) `=(260-240)/(260)xx100=(20)/(260)xx100=7 (9)/(13)%` Total stock which another distributor sold `=(350+450)=800` Total commission received by another distributor `=(800)/(50)xx100 =Rs. 1600` New cost price of one Toffee `=200+(1600)/(800)=Rs. 202`

Discussion

6157.	Alfa Ltd is the producer of Toffee and it used to sell Toffee through distributor on a condition that on selling the stock of every 50 Toffee, he will get Rs 100 as commission . The distributor is responsible to sell all those Toffees to retailers . If he marks the Toffee at the price which is 30 % above the production cost (cost price ) andallows a discount of Y % he sells totalof 'X' Toffees which is 40 less than total received by him. amount of toffee received to sell to retailers is Rs 78 thousands. The commission received by distributor is Rs 700 and he made a profit of Rs 14 thousands on selling theToffees . What is value 'Y' ?
Answer» `9(9)/(13) %` `7 (9)/(13)%` `5 (9)/(13)%` `8(9)/(13)%` Solution :Given, Commission received by the DISTRIBUTOR =Rs. 700 So, the number of Toffees sold by distributor `=(700)/(100)xx50=350` Total number of Toffees received by him in the whole stock to sell`=350+40=390` Production cost of ecah Toffee`=(78000)/(390)=Rs. 200` Marked price of each Toffee `=200xx1.3=Rs. 260` Total selling price of 350 Toffees `=350xx200+14000=Rs. 84000` Selling price of each Toffee`=(84000)/(350)=Rs. 240` Discount allow by employee (y) `=(260-240)/(260)xx100=(20)/(260)xx100=7 (9)/(13)%` `Y=7 (9)/(13)%`

Discussion

6158.	Alfa Ltd is the producer of Toffiee and it used to sell Toffee through distributor on a condition that on selling the stock of every 50 Toffee, he will get Rs 100 as commission . The distributor is responsible to sell all those Toffees to retailers . If he marks the Toffee at the price which is 30 % above the production cost (cost price ) andallows a discout of Y % he sells totalof 'X' Toffees which is 40 less than total received by him to sell to retailers is Rs 78 thousands. The commission received by distributor is Rs 700 and he made a profit aof Rs 14 thousands on selling the Toffees . What will be ratio of Y : (X + 40 ) ?
Answer» `10 : 511` `10 : 503 ` `10 : 513` `10:507` Solution :Given, Commission received by the distributor =Rs. 700 So, the number of Toffees sold by distributor `=(700)/(100)xx50=350` Total number of Toffees received by him in the WHOLE stock to sell`=350+40=390` Production COST of ecah Toffee`=(78000)/(390)=Rs. 200` Marked price of each Toffee `=200xx1.3=Rs. 260` Total selling price of 350 Toffees `=350xx200+14000=Rs. 84000` Selling price of each Toffee`=(84000)/(350)=Rs. 240` Discount allow by employee (y) `=(260-240)/(260)xx100=(20)/(260)xx100=7 (9)/(13)%` Required ratio `((100)/(13))/(390)=(100)/(13xx390)=10:507`

Discussion

6159.	Find the unit digit of 135xx361xx970.
Answer» Solution :The unit DIGIT can be obtained by MULTIPLYING the unit digits 5,1,0. then `5xx1xx0=0` thus the unit digit will be ZERO.

Discussion

6160.	The radius of baseand the volume of a right circular cone are doubled. The ratio of the length of the larger cone to that of the smaller cone is :
Answer» `1:4` `1:2` `2:1` `4:1` ANSWER :B

Discussion

6161.	( 35^(23^(23)))/(16)Find R .
Answer» ANSWER :`=11`

Discussion

6162.	A bacteria gives birth to two new bacterias in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous untill the death of the bacteria . Initially there is one newly born bacteria at time t=0 , then find the total number of live bacteria just after 10 seconds :
Answer» `3^(10)/2` `3^5(3^5-1)` `3^(10)-2^(10)` `3^(10)-2^5` ANSWER :B

Discussion

6163.	If p,q,r be integers such that p^2 = q^2.r then :
Answer» <P>a. p is an EVEN NUMBER B. q is an even number C. r is an even number d. r is a perfect square Answer :D

Discussion

6164.	ABCDis a square, A is joined to a point P on BC and D is joined to a point Q on AB. If AP=DQ and AP intersects DQ at R the, angle DRP is :
Answer» `60^@` `120^@` `90^@` can't be determined Answer :C

Discussion

6165.	If the angles of a triangle are in the ratio 1:2:3 and its circumradius is 10 cm, find the sides of the triangle (in cm):
Answer» 8, 16, 24 18,12,6 `10, 20, 20sqrt3` 10, 20, 10sqrt3` ANSWER :D

Discussion

6166.	If x y=2(x+y),xlt=ya n dx ,y inN ,then the number of solutions of the equation area. two b.threec. no solution d. infinitely many solutions
Answer» 2 3 0 infinitely many Answer :A

Discussion

6167.	Find the digital sum of 7586902.
Answer» SOLUTION :7+5+8+6+9+0+2=37 3+7=10 1+0=1

Discussion

6168.	Find max & min value of 10+sinalpha.
Answer» ANSWER :9

Discussion

6169.	find the value of 126!-125!
Answer» ANSWER :`=34`

Discussion

6170.	Each of the two circles of same radius a passes through the centre of the other. If the circles cut each other at the points A, B and 0,0' be their centres, then area of the quadrilateral AOBO' is
Answer» `1/4a^2` `1/2 a^2` `SQRT(3)/2a^2` `a^2` ANSWER :C

Discussion

6171.	William's monthyl salary was Rs. 1140. His salary is increased by 16.66%. How much increase has the gotten? Also find the salary if his salary increased by 33.33%.
Answer» SOLUTION :THEREFORE therequired ANSWER is ₹ 1520.

Discussion

6172.	One day in summer I wanted to chill me out, I went to a cool corner. I gave him a note of ₹ 10 and asked for a coke costing ₹ 5 per jar and he did so, but he returned me ₹ 5, in the denomination of ₹ 1, 50 paise and 25 paise. What could be the ratio of no. of coins of ₹ 1, 50 paise and 25 paise respectively :
Answer» a.`2:3:1` B.`1:7:2` C.`6:1:3` d.`2:1:2` ANSWER :B

Discussion

6173.	if 3000 amount to 4320at compound interest in a certain time, then 3000 amount to what in half of the time
Answer» ANSWER :RS. 3600

Discussion

6174.	If x=(cos theta)/(1-sintheta), then (cos theta)/(1+sin theta) is equal to
Answer» `X-1` `(1)/(x)` `(1)/(x+1)` `(1)/(1-x)` ANSWER :B

Discussion

6175.	What should come in place of question mark in the series given below ? 92,"? ",46,69,138,345
Answer» ANSWER :46

Discussion

6176.	Two trains are travelling in the same direction at 22.5 km/h and 7.5 km/h respectively. The faster train crosses a man in the slower train in 18 seconds. What is the length of the faster train?
Answer» 87.5 m 75 m 122.5 m none of these Answer :B

Discussion

6177.	Some amount out of rs 6000 was lent out at 10% per annum and rest amount @ at 20% per annum and thus in 4 years the total interest from both the amounts collected was rs 3400. What is the amount which was lent out @ 10% per annum?
Answer» ₹ 2,500.00 ₹ 2,800 ₹ 3,200 ₹ 3,500 Answer :D

Discussion

6178.	Answer the questions based on the following information. Once Ruskin Bond meets 4 kids on his way to Dehradun. While chatting with them he decides to distribute all the 12 identical chocolates among these kids Find the number of ways of distributing 12 chocolates among 4 kids equally.
Answer» (A) 4 (B) `4^4` (C) `(12!)/(4!)` (D) 1 Answer :D

Discussion

6179.	A: B: C is in the ratio of 3: 2: 5. How much money will C get out of Rs 1260?
Answer» 252 125 503 None of these Answer :B

Discussion

6180.	Sohan has borrowed Rs. 5000 at the rate of 6% S.I. what amount he needs to pay after 3 years to clear the debt?
Answer» RS. 6300 Rs. 6100 Rs. 5900 Rs. 5500 Answer :D

Discussion

6181.	A: B is 1: 2; B: C is 3: 2 and C: D is 1:3. Find A: B: C: D.
Answer» 2: 1: 6: 13 3: 5: 7: 6 2: 3: 5: 7 3: 6: 4: 12 Answer :B

Discussion

6182.	If asintheta+bcostheta=c, find acostheta-bsintheta=?
Answer» `pmsqrt(a^(2)+B^(2)+C^(2))` `pmsqrt(a^(2)-b^(2)+c^(2))` `pmsqrt(a^(2)+b^(2)-c^(2))` NONE of these Answer :A::B::C::D

Discussion

6183.	'O' is the centre of the circle, line segment BOD is the angle bisector of angleAOC, angleCOD = 50^(@). Find angleABC :
Answer» `25^(@)` `50^(@)` `100^(@)` `120^(@)` Answer :B

Discussion

6184.	Amarnath express left Amritsar for Gorakhpur. Two hours later Gorakhnath express left from Amritsar to Gorakhpur. Both trains reached Gorakhpur simultaneously. If Amarnath express had started from Amritsar and Gorakhnath express had started from Gorakhpur at the same time and travelled towards each other they would meet in 1 h 20 min. Find the time taken by Amarnath express to travel from Amritsar to Gorakhpur (in hours) :
Answer» 2 4 5 6 Answer :B

Discussion

6185.	If a man decreases S.P. of a fan from Rs 400 to Rs 380 then his loss increases by 20%. Find C.P. of fan.
Answer» ANSWER :RS. 500

Discussion

6186.	If (sectheta+tantheta)/(sectheta-tantheta)=(5)/(3), then sintheta is equal to
Answer» `(1)/(4)` `(1)/(3)` `(2)/(3)` `(3)/(4)` ANSWER :A

Discussion

6187.	What will be the difference between simple interest and compound interest on Rs. 2000 after three years at the rate of 10% per annum?
Answer» ANSWER :RS. 62

Discussion

6188.	Two numbers a and b are such that one is odd and the other is even. Which statement is necessarily true?
Answer» `a^2+b` is EVEN (a+b) is even `a^bxxb^a` is even `a^2-b^2` is even Answer :C

Discussion

6189.	Three beakers namely A, B and C. Each contain 100 ml of milk to water solution. The ratio of milk to water in the beakers A, B and C is 1 : 3, 1 : 4 and 2 : 3 respectively. 40 ml of solution is transferred from beaker A to beaker C and than 28 ml of solution is transferred from beaker C to beaker B. Find the final ratio of milk in the beakers A, B and C.
Answer» ANSWER :`3:6:8`

Discussion

6190.	There are five brothers in a family average salary of 4 elders brothers is Rs. 740. Now the youngest brother starts earning and the average salary of all brothers decreases by Rs. 34. If the eldest brother takes a leave and starts another work then his monthly salary is Rs. 80 more than the youngest brother Now the average salary is reduced to Rs. 636. Find the initial salary of eldest brother and youngest brother.
Answer» ANSWER :ELDEST - 1000, YOUNGEST - 570

Discussion

6191.	Find all the parameters p for which both the roots of the equation x^2-6px+(3-4p+9p^2)=0 exceed the number 4.
Answer» `pgt3/4` `pgt4/3` `plt1` `pgt13/9` ANSWER :D

Discussion

6192.	(25^(29))/(28)find R.
Answer» ANSWER :`=27`

Discussion

6193.	A candidate who scores 30% fails by 5 marks, while another candidate who scores 40% marks gets 10 more than minimum passing marks. The minimum marks required to pass are:
Answer» 50 100 45 150 Answer :A

Discussion

6194.	If 40% of 60% of 3/5 of a number is 504, what will be the 25% of 2/5 of that number?
Answer» 350 150 175 230 Answer :B

Discussion

6195.	In an election, 2 candidates participate in which the winner gets 60% of the total votes, and he wins the election by 2000 votes. Find the total number of votes in the election.
Answer» 3200 6400 10000 13250 Answer :D

Discussion

6196.	A man covers first 48 km of his journey in 40 minutes and next 32 km in 35 minutes. Find his average speed.
Answer» 74 km/hr 70 km/hr 67 km/hr 64 km/hr Answer :A

Discussion

6197.	If sin (10^(@) 6' 32'') = a , then the value of cos (79^(@) 53' 28'') + tan (10^(@) 6' 32'') is
Answer» `(a (1 + SQRT(1 - a^(2))))/(sqrt(1- a^(2)))` `(1 + sqrt(1 -a^2))/sqrt(1-a^2)` `(sqrt(1-a^2)+a)/(sqrt(1-a^2))` `(asqrt(1-a^2 )+1)/sqrt(1-a^2)` ANSWER :A

Discussion

6198.	Akbar lends twice the interest received from' Birbal to Chanakya at the half of the interest at which he lent to Birbal. If Akbar lent ₹ P@ r% per annum for 1 year to Birbal -then the interest received by Akbar from Chanakya is:
Answer» <P>(PR^2)/100` `((Pr)/10)^2` `P(r/10)^2` `P(r/100)^2` ANSWER :D

Discussion

6199.	If m times the mth term of an A.P. is equal to n times its nth term, find (m + n) th term of the A.P.:
Answer» -1 0 mn 4 Answer :B

Discussion

6200.	How many 4 digit numbers divisible by 4 can be formed without using the digits 0,6,7,8,9 if the repetition of digits is not allowed?
Answer» 67 68 24 48 Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

if the coordinates of the mid points of the Sides of a triangle are(1,2) ,(0,-1) and (2, -1).Find the coordinates ofits vertices :

a=2b=3c=4d then a:b:c:d is

Three non-zero real numbers form an A.P. and the squares of these numbers taken in the same order form a G.P. Then the number of all possible common ratio of the G.P. is :

Find the unit digit of 135xx361xx970.

The radius of baseand the volume of a right circular cone are doubled. The ratio of the length of the larger cone to that of the smaller cone is :

( 35^(23^(23)))/(16)Find R .

If p,q,r be integers such that p^2 = q^2.r then :

ABCDis a square, A is joined to a point P on BC and D is joined to a point Q on AB. If AP=DQ and AP intersects DQ at R the, angle DRP is :

If the angles of a triangle are in the ratio 1:2:3 and its circumradius is 10 cm, find the sides of the triangle (in cm):

If x y=2(x+y),xlt=ya n dx ,y inN ,then the number of solutions of the equation area. two b.threec. no solution d. infinitely many solutions

Find the digital sum of 7586902.

Find max & min value of 10+sinalpha.

find the value of 126!-125!

Each of the two circles of same radius a passes through the centre of the other. If the circles cut each other at the points A, B and 0,0' be their centres, then area of the quadrilateral AOBO' is

William's monthyl salary was Rs. 1140. His salary is increased by 16.66%. How much increase has the gotten? Also find the salary if his salary increased by 33.33%.

if 3000 amount to 4320at compound interest in a certain time, then 3000 amount to what in half of the time

If x=(cos theta)/(1-sintheta), then (cos theta)/(1+sin theta) is equal to

What should come in place of question mark in the series given below ? 92,"? ",46,69,138,345

Two trains are travelling in the same direction at 22.5 km/h and 7.5 km/h respectively. The faster train crosses a man in the slower train in 18 seconds. What is the length of the faster train?

Some amount out of rs 6000 was lent out at 10% per annum and rest amount @ at 20% per annum and thus in 4 years the total interest from both the amounts collected was rs 3400. What is the amount which was lent out @ 10% per annum?

Answer the questions based on the following information. Once Ruskin Bond meets 4 kids on his way to Dehradun. While chatting with them he decides to distribute all the 12 identical chocolates among these kids Find the number of ways of distributing 12 chocolates among 4 kids equally.

A: B: C is in the ratio of 3: 2: 5. How much money will C get out of Rs 1260?

Sohan has borrowed Rs. 5000 at the rate of 6% S.I. what amount he needs to pay after 3 years to clear the debt?

A: B is 1: 2; B: C is 3: 2 and C: D is 1:3. Find A: B: C: D.

If asintheta+bcostheta=c, find acostheta-bsintheta=?

'O' is the centre of the circle, line segment BOD is the angle bisector of angleAOC, angleCOD = 50^(@). Find angleABC :

If a man decreases S.P. of a fan from Rs 400 to Rs 380 then his loss increases by 20%. Find C.P. of fan.

If (sectheta+tantheta)/(sectheta-tantheta)=(5)/(3), then sintheta is equal to

What will be the difference between simple interest and compound interest on Rs. 2000 after three years at the rate of 10% per annum?

Two numbers a and b are such that one is odd and the other is even. Which statement is necessarily true?

Find all the parameters p for which both the roots of the equation x^2-6px+(3-4p+9p^2)=0 exceed the number 4.

(25^(29))/(28)find R.

A candidate who scores 30% fails by 5 marks, while another candidate who scores 40% marks gets 10 more than minimum passing marks. The minimum marks required to pass are:

If 40% of 60% of 3/5 of a number is 504, what will be the 25% of 2/5 of that number?

In an election, 2 candidates participate in which the winner gets 60% of the total votes, and he wins the election by 2000 votes. Find the total number of votes in the election.

A man covers first 48 km of his journey in 40 minutes and next 32 km in 35 minutes. Find his average speed.

If sin (10^(@) 6' 32'') = a , then the value of cos (79^(@) 53' 28'') + tan (10^(@) 6' 32'') is

Akbar lends twice the interest received from' Birbal to Chanakya at the half of the interest at which he lent to Birbal. If Akbar lent ₹ P@ r% per annum for 1 year to Birbal -then the interest received by Akbar from Chanakya is:

If m times the mth term of an A.P. is equal to n times its nth term, find (m + n) th term of the A.P.:

How many 4 digit numbers divisible by 4 can be formed without using the digits 0,6,7,8,9 if the repetition of digits is not allowed?