8677 + Interview Questions in Maths in Class 14 Page 5 InterviewSolution

201.	A man rows downstream 60 km and upstream 36 km taking 4 hours each time.the speed of the man is:
Answer» 15 km/h 16 km/h 8 km/h 12 km/h Answer :D

Discussion

202.	If x=secphi-tanphi&y=cosecphi+cotphi, then
Answer» `X=(y+1)/(y-1)` `y=(1-x)/(1+x)` `x=(y-1)/(y+1)` `y=(1+x)/(1-x)` ANSWER :C

Discussion

203.	The sum of 3 numbers in G.P.is 38 and their product is 1728 find the greatest number:
Answer» 24 18 16 8 Answer :B

Discussion

204.	If x-y= (x+y)/(9)= (xy)/(6) then value of xy= ?
Answer» `(4)/(3)` `(9)/(5)` `(9)/(10)` `(1)/(3)`

Discussion

205.	Two trains of length 190 m and 210 m respectively, are running in opposite directions on parallel tracks. If their speeds are 40 km/hr and 32 km/hr respectively in what time will they cross each other?
Answer» 20SECONDS 22 second 25 second 30 second Answer :A

Discussion

206.	Find the total number of rectangles in a square having 8 rows and 15 columns.
Answer» 4321 6320 4320 3456 Answer :C

Discussion

207.	40% of a number when added to the square of the same number, then it become 4040% of itself the actual number is
Answer» 175 400 40 120 Answer :C

Discussion

208.	The value oflambda for which the expression x^(3) + x^(2) - 5x + lambda will be divisible by (x - 2) is
Answer» 2 -2 -3 4 Answer :B

Discussion

209.	If x=2 - 2^((1)/(3)) + 2^((2)/(3))find the value of x^(3)-6x^(2) + 18x + 18
Answer» 22 33 40 45 Answer :D

Discussion

210.	Two tangents are drawn from a point P to a circle at A and B. O is the centre of the circle. If angle AOP = 60^(@) then angle APB is :
Answer» `60^(@)` `30^(@)` `120^(@)` `90^(@)` ANSWER :A

Discussion

211.	There are many points on the circumference of a circle such thatdistance between each consecutive point is 11cm andtimetakento move from one point to next is 45 minutefind the radius of circleand no. of points.
Answer» ANSWER :480

Discussion

212.	PQRS is a parallelogram in which angle P=70^@, angle Q=90^@ and angle R=100^@. How many points in the plane of the quadrilateral are there such that a point is equidistant from its vertices ?
Answer» 0 1 2 3 Answer :A

Discussion

213.	The ratio of pens and pencils in a stationary shop is 3 : 2, respectively. The average number of pens and pencils is 180. What is the 30% of number of pencils in the shop?
Answer» 150 144 245 43 Answer :D

Discussion

214.	If a,b,c are positive real numbers then (1+a)^7(1+b)^7)1+c)^7 (A) lt7^7a^4b^4c^4 (B) le7^7a^4b^4c^4 (C) gt7^7a^4b^4c^4 (D) none of these
Answer» `pgt33^7a^3b^3c^3` `pgt3^7a^(21)B^(14)c^7` `pgt77(1+a)^7(1+b)^7(1+c)^7` `pgt7^7a^4b^4c^4` ANSWER :D

Discussion

215.	A jar contains a mixture of two liquids A and B in the ratio 3 : 1 . When 15 ltof the mixture is taken out and 9 ltof liquid B is poured into the jar, the ratio becomes3 : 4. How many ltof liquid A was contained in the jar initially?
Answer» ANSWER :`20.25 " LT "`

Discussion

216.	A sum of money doubles itself at compound interest in 15 years in how many years it will become eight times?
Answer» ANSWER :45 YEARS

Discussion

217.	What is the total number of children liking CSK ?
Answer» If the statement I ALONE is sufficient to answer the QUESTION but the statement II alone is not sufficient If the statement II alone is sufficient to answer the question but the statement I alone is not sufficient If both STATEMENTS I and II together are NEEDED to answer the question if either the statement I alone or statment II alone is sufficient to answer the question Answer :B

Discussion

218.	A, B, C, D, E, F are the only six families in Indira nagar. A, B, C, D, E and F has 7, 8, 10,13, 6 and 10 members in their familes respectively. If member from all the six families left their respective families to accommodate themselves in the hostel of IM Luknow, then the average number of members now in each family in Indira nagar is :
Answer» 8 9 10 13 Solution :REQUIRED AVERAGE =((7+8+10+13+6+10)/6)-`(6xx1)/6`=8

Discussion

219.	From stations M and N ,two trains start moving towards each other at speed 125km/h and 75k m/h,respectively .When the two trains meet each other ,it is found that one train covers 50 km more than an other. Find the distance betweenMandN.
Answer» a. 190km B. 200km c. 145km d. 225km Answer :B

Discussion

220.	The perimeter of a certain sector of a circle is equal to the length ofthe arc of semi circle having the sameradius. Express the angle of the sector in degrees, minutes and seconds.
Answer» `65^@27'16''` `68^@18'19''` `56^@52'18''` NONE of these Answer :A

Discussion

221.	A hemispherical of lead of diameter 14 cm is cast into a right circular cone of height 14 cm. The radius of the base of the cone is :
Answer» 7cm 14cm 21cm none of these Answer :A

Discussion

222.	A jar contains a mixture of two liquids A and B in the ratio 3 : 1. When 15 ltof the mixture is taken out and 9 ltof liquid B is poured into the jar, the ratio becomes 3 : 4. How many ltof liquid A was contained in the jar?
Answer» ANSWER :`20 1/4 " LT "`

Discussion

223.	A solid sphere is melted and recast into a right circular cone with a base radius equal tothe radius of the sphere . What is the ratio of the heightand radius of the cone so formed ?
Answer» 4:3 2:3 3:4 none of these Answer :D

Discussion

224.	Find the value of of cot3theta:
Answer» `(COT^(3)theta-3cot theta)/(3cot^(2)theta)` `(cot^(3)theta-3cot theta)/(3cot^(2)theta-1)` `(3cot theta-cot^(3)theta)/(3cot^(2)theta-1)` NONE of these Answer :B

Discussion

225.	Two tangents are drawn from a point P to a circle at A and B. O is the centre of the circle. If angleAOP = 60^(@), then angleAPB is
Answer» `60^(@)` `30^(@)` `120^(@)` `90^(@)` ANSWER :A

Discussion

226.	Circles C(o, r) and C(O^(1), (r)/(2)) touch internally at a point A and AB is a chord of the circle intersecting C(O^(1), (r)/(2)) at C. Then AC is equal to :
Answer» CB OA OB `(1)/(3)` AB Answer :A

Discussion

227.	Is 28 a Perfect No ?
Answer» ANSWER :`=28`

Discussion

228.	Solve sqrt(2+sqrt(2+sqrt(2+2cos16theta)))
Answer» `2cos2theta` `SQRT(2)COSTHETA` `2sintheta` `sqrt(2)SINTHETA` ANSWER :A

Discussion

229.	The roots of a quadratic equation ax^(2) + bx+ c=0 are 1 and c/a, then a + b = "_____".
Answer» `Dge0,af(K)LT0,klt-B/(2a)` `Dge0,af(k)lt0,kgt-b/(2a)` `DGT0,af(k)lt0` `Dge0,af(k)GT0,klt-b/(2a)` Answer :B

Discussion

230.	Answer these questions independently of each other. In how many ways can 12 soldiers stand in three queue such that each queue has same number of soldiers?
Answer» `^12P_4xx^8P_4xx^4P_4` `^12P_4xx3!` `^12P_4xx^12P_4xx^12P_4 xx3!` `^12P_4xx^8P_4xx^4P_4xx3!` ANSWER :D

Discussion

231.	Answer these questions independently of each other. In how many ways can 12 soldiers stand in three queue such that one queue has 3 soldiers, another queue has 4 soldiers and so the remaining rows has 5 soldiers?
Answer» `^12P_5xx^7P_4xx^3P_3` `^12P_3xx^9P_4xx^5P_5` `^12P_3xx^9P_4xx^5P_5xx3!` `^12P_3xx^12P_4xx13P_5xx3!` ANSWER :C

Discussion

232.	A group consists of two male, two female and three children. The average age of the male is 67 years, that of the female is 35 years, and that of the children is six years. What is the average age of the group?
Answer» 35.45 28.71 31.71 30.71 Answer :A

Discussion

233.	If x+ y= 6 then max value of xy
Answer» ANSWER :9

Discussion

234.	ABCD is a parallelogram. Angle bisector of angleA and angle bisector of angleC cuts extended side DC and AB at Q and P respectively. If angleA=50^(@)," find "angleP+angleQ.
Answer» ANSWER :`50^(@)`

Discussion

235.	Find the sum of the first hundred even natural numbers divisible by 5:
Answer» 50500 55000 50050 50005 Answer :A

Discussion

236.	Find the no. of zeros in expression : 10 xx 20 xx 30 xx ……xx 1000.
Answer» 124 130 249 150 Answer :a

Discussion

237.	16 men finished one-third work in 6 days. The number of additional men are required to complete the remaining job in next 6 days:
Answer» 10 8 16 32 Answer :C

Discussion

238.	Study the following graph carefully and answer the questions that follow Whatwas the percentage increase in percentrisein profit of companyM in the year 2009 from the previous year ?
Answer» 25 15 50 75 Answer :D

Discussion

239.	A coinis tossedsuccessivelythree times. Findthe propability ofgettingexactlyone heads or 2heads
Answer» `1/4` `3/4` `1/2` `3/8` ANSWER :B

Discussion

240.	The ratio of petrol and kerosene is the container is 3:2 when 10 litres of the mixture is taken out and is replaced by the kerosene, the ratio becomes 2:3. The total quantity of the mixture in the container is :
Answer» 25 30 45 cannot be determined Answer :B

Discussion

241.	If side of a square is 10 cm. Find ratioof area of circumcircleand In circle
Answer» ANSWER :`(2)/(1)`

Discussion

242.	The number of different numbers that can be formed by using all the digits 1, 2, 3, 4,3, 2,1 so that odd digits always occupy the odd places IS 1) 6 2)72 3) 60 4) 18
Answer» 9 16 18 27 Answer :C

Discussion

243.	Find the ratio of 90 cm to 1.5 m.
Answer» Solution :1.5 m= 150 CM(units must be same) So, the required ratio`=90/150=3/5`

Discussion

244.	Fifteen movie theatres average 600 customers per theatre per day. If six of the theatres close down but the total theatre attendance stays the same, then the average daily attendance per theatre among the remaining theatres is:
Answer» 900 1000 1100 1200 Answer :A

Discussion

245.	The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?
Answer» A) 100 % B) 200% C) 300% D) 600% ANSWER :`30%`

Discussion

246.	Avinash covered 150 km distance in 10 hours. The first part of his journey he covered by car, then he hired a rckshaw. The speed of car and rickshaw is 20km/hr and 10km/hr respectively. The ratio of distances covered by car and the rickshaw respectively are :
Answer» 2:3 4:5 1:1 none of these Solution :The average speed of AVINASH = (150)/(10) = 15km/hr It means the rickshaw took 5/8 and car took 3/8 of the total TIME i.e., the ratio of time taken by rickshaw to car is 5:3. So the ratio of distances COVERED by rickshaw to car is `5xx12:3xx20 implies 1:1`

Discussion

247.	If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two number is :
Answer» a) `YZ` b) `(XZ)/y` C) `(xy)/Z` d) `XYZ` Answer :D

Discussion

248.	A sum of money amounts to Rs. 270.40 in 2 years at 4% per annum, compounded annually. Find the sum.
Answer» ANSWER :RS. 250

Discussion

249.	Consider the following statements in respect of two chords XY and ZT of a circle intersecting at P. I.PX.PY = PZ.PT II. PXZ and PTY are similar triangles. Which of the statements given above is/are correct?
Answer» Only I Only II Both I and II Neither I nor II Answer :C

Discussion

250.	Find in 10 !Max powerof 2.
Answer» ANSWER :`=7`

Discussion

Explore topic-wise InterviewSolutions in .

A man rows downstream 60 km and upstream 36 km taking 4 hours each time.the speed of the man is:

If x=secphi-tanphi&y=cosecphi+cotphi, then

The sum of 3 numbers in G.P.is 38 and their product is 1728 find the greatest number:

If x-y= (x+y)/(9)= (xy)/(6) then value of xy= ?

Two trains of length 190 m and 210 m respectively, are running in opposite directions on parallel tracks. If their speeds are 40 km/hr and 32 km/hr respectively in what time will they cross each other?

Find the total number of rectangles in a square having 8 rows and 15 columns.

40% of a number when added to the square of the same number, then it become 4040% of itself the actual number is

The value oflambda for which the expression x^(3) + x^(2) - 5x + lambda will be divisible by (x - 2) is

If x=2 - 2^((1)/(3)) + 2^((2)/(3))find the value of x^(3)-6x^(2) + 18x + 18

Two tangents are drawn from a point P to a circle at A and B. O is the centre of the circle. If angle AOP = 60^(@) then angle APB is :

There are many points on the circumference of a circle such thatdistance between each consecutive point is 11cm andtimetakento move from one point to next is 45 minutefind the radius of circleand no. of points.

PQRS is a parallelogram in which angle P=70^@, angle Q=90^@ and angle R=100^@. How many points in the plane of the quadrilateral are there such that a point is equidistant from its vertices ?

The ratio of pens and pencils in a stationary shop is 3 : 2, respectively. The average number of pens and pencils is 180. What is the 30% of number of pencils in the shop?

If a,b,c are positive real numbers then (1+a)^7(1+b)^7)1+c)^7 (A) lt7^7a^4b^4c^4 (B) le7^7a^4b^4c^4 (C) gt7^7a^4b^4c^4 (D) none of these

A jar contains a mixture of two liquids A and B in the ratio 3 : 1 . When 15 ltof the mixture is taken out and 9 ltof liquid B is poured into the jar, the ratio becomes3 : 4. How many ltof liquid A was contained in the jar initially?

A sum of money doubles itself at compound interest in 15 years in how many years it will become eight times?

What is the total number of children liking CSK ?

From stations M and N ,two trains start moving towards each other at speed 125km/h and 75k m/h,respectively .When the two trains meet each other ,it is found that one train covers 50 km more than an other. Find the distance betweenMandN.

The perimeter of a certain sector of a circle is equal to the length ofthe arc of semi circle having the sameradius. Express the angle of the sector in degrees, minutes and seconds.

A hemispherical of lead of diameter 14 cm is cast into a right circular cone of height 14 cm. The radius of the base of the cone is :

A jar contains a mixture of two liquids A and B in the ratio 3 : 1. When 15 ltof the mixture is taken out and 9 ltof liquid B is poured into the jar, the ratio becomes 3 : 4. How many ltof liquid A was contained in the jar?

A solid sphere is melted and recast into a right circular cone with a base radius equal tothe radius of the sphere . What is the ratio of the heightand radius of the cone so formed ?

Find the value of of cot3theta:

Two tangents are drawn from a point P to a circle at A and B. O is the centre of the circle. If angleAOP = 60^(@), then angleAPB is

Circles C(o, r) and C(O^(1), (r)/(2)) touch internally at a point A and AB is a chord of the circle intersecting C(O^(1), (r)/(2)) at C. Then AC is equal to :

Is 28 a Perfect No ?

Solve sqrt(2+sqrt(2+sqrt(2+2cos16theta)))

The roots of a quadratic equation ax^(2) + bx+ c=0 are 1 and c/a, then a + b = "_____".

Answer these questions independently of each other. In how many ways can 12 soldiers stand in three queue such that each queue has same number of soldiers?

Answer these questions independently of each other. In how many ways can 12 soldiers stand in three queue such that one queue has 3 soldiers, another queue has 4 soldiers and so the remaining rows has 5 soldiers?

A group consists of two male, two female and three children. The average age of the male is 67 years, that of the female is 35 years, and that of the children is six years. What is the average age of the group?

If x+ y= 6 then max value of xy

ABCD is a parallelogram. Angle bisector of angleA and angle bisector of angleC cuts extended side DC and AB at Q and P respectively. If angleA=50^(@)," find "angleP+angleQ.

Find the sum of the first hundred even natural numbers divisible by 5:

Find the no. of zeros in expression : 10 xx 20 xx 30 xx ……xx 1000.

16 men finished one-third work in 6 days. The number of additional men are required to complete the remaining job in next 6 days:

Study the following graph carefully and answer the questions that follow Whatwas the percentage increase in percentrisein profit of companyM in the year 2009 from the previous year ?

A coinis tossedsuccessivelythree times. Findthe propability ofgettingexactlyone heads or 2heads

The ratio of petrol and kerosene is the container is 3:2 when 10 litres of the mixture is taken out and is replaced by the kerosene, the ratio becomes 2:3. The total quantity of the mixture in the container is :

If side of a square is 10 cm. Find ratioof area of circumcircleand In circle

The number of different numbers that can be formed by using all the digits 1, 2, 3, 4,3, 2,1 so that odd digits always occupy the odd places IS 1) 6 2)72 3) 60 4) 18

Find the ratio of 90 cm to 1.5 m.

Fifteen movie theatres average 600 customers per theatre per day. If six of the theatres close down but the total theatre attendance stays the same, then the average daily attendance per theatre among the remaining theatres is:

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

Avinash covered 150 km distance in 10 hours. The first part of his journey he covered by car, then he hired a rckshaw. The speed of car and rickshaw is 20km/hr and 10km/hr respectively. The ratio of distances covered by car and the rickshaw respectively are :

If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two number is :

A sum of money amounts to Rs. 270.40 in 2 years at 4% per annum, compounded annually. Find the sum.

Consider the following statements in respect of two chords XY and ZT of a circle intersecting at P. I.PX.PY = PZ.PT II. PXZ and PTY are similar triangles. Which of the statements given above is/are correct?

Find in 10 !Max powerof 2.