8677 + Interview Questions in Maths in Class 14 Page 89 InterviewSolution

4401.	sqrt7y^(2)-6y-13sqrt7=0:
Answer» `SQRT7,2sqrt7` `3,2/sqrt7` `13/sqrt17,-sqrt7` NONE of these Answer :C

Discussion

4402.	A started some business with Rs. 26000. After 3 months B joined him with Rs. 16,000. After some more time C joined them with Rs. 25,000. At the end of the year, out of a total profit of Rs. 15,453, C gets Rs 3825 as his share. How many month after B joined the business. did C join?
Answer» ANSWER :RS. 3

Discussion

4403.	A parallelogram hassides 30 cm and 20 cm and one of its diagonal is 40 cm long. Then its area is :
Answer» `75sqrt5 cm^2` `245 cm^2` `150sqrt15 cm^2` `300 cm^2` ANSWER :C

Discussion

4404.	In thequestion number13Howmanywordsare there inwhichI andO arenevertogether?
Answer» 1440 720 3600 none of these Answer :C

Discussion

4405.	In the given figure, ABC is an isosceles triangle in which AB = AC and angleABC = 50^(@), angleBDC :
Answer» `80^(@)` `60^(@)` `65^(@)` `100^(@)` ANSWER :A

Discussion

4406.	While selling an electric fan, a dealer gives a discount of 5%. If he gives a discount of 8%, he earns ₹ 36 less as profit. The marked price of the fan is
Answer» ₹ 1000 ₹ 1200 ₹ 800 none of these Answer :B

Discussion

4407.	Which one is perfect No ?
Answer» 2 4 6 8 Answer :`=6`

Discussion

4408.	Manu scored 384 marks out of 450. What per cent marks did she get ?
Answer» SOLUTION :`85.33%`

Discussion

4409.	If 10s in^4alpha+15cos^4alpha=6, find the value of 27cos e c^6alpha+8s e c^6alpha.
Answer» ANSWER :250

Discussion

4410.	The value of (1.2.3…..9).(11.12.13…19).(21.22.23….29).(31.32.33……39).(41.42.43….49).(51.52.53…..59)……(91.92….99)
Answer» `(100!)/(36288xx10^11)` `(99!)/(388xx10^11)` `(99!)/(36288xx10^10)` can't be determined Answer :C

Discussion

4411.	The value of the numeral MCDLXIV is :
Answer» 1666 664 1464 656 Solution :MCDLXIV = 1000+(500-100)+50+10+(5-1) = 1464

Discussion

4412.	The ratio of number of girls to number of boys is 1:2. If the average weight of the boys is 30 kg and the average weight of both the boys and the girls be 25 kg, then the average weight of the girls is:
Answer» 15 20 35 40 Answer :A

Discussion

4413.	If n! - n = n, then the value of n is :
Answer» 4 5 6 3 Solution :CONSIDER N = 3 then `3! - 3 = 3` `RARR 6 - 3 = 3` `rarr 3 = 3`

Discussion

4414.	Working together, two pipes A and B can fill 7 empty tanks of the same capacity in 48 hours. When at tank was initially empty, pipe B was kept open for as much time as was required by pipe A to fill 1/3 rd of the empty tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/4 th of the empty tank by itself. It was then found that the tank was 7/12 full. The least time in which any of the pipes can fill an empty tank fully is
Answer» (A) 8.4 HOURS (B) 14.4 hours (C) 12 hours (D) 14 hours Answer :C

Discussion

4415.	Aashutosh can cover a certain distance in 84min by covering 2/3rd of distance at 4 km/h and the rest at 5 km/h. Find the total distance.
Answer» a. 6 KM B. 8km c. 9 km d. 15km Answer :A

Discussion

4416.	In a certain city only two cellular (mobile) phone services are available. One is Radiance and other is DSML. It is known that 25% of the city population uses the services of Radiance and 20% uses the services of DSML.while 8% uses both Radiance and DSML. It is also known that 30% of those who uses Radiance services but not services of DSML have prepaid cards and 40% of those who uses DSML .but not Radiance have prepaid cards while50% of those who uses the services of both Radiance and DSML have prepaid cards. What percentage of the population have prepaid cards?
Answer» `12.5%` `10%` `13.9%` `20%` ANSWER :`=13.9%`

Discussion

4417.	If (x+1/x)=2sqrt3 then the value of (x^3+1/x^3) is:
Answer» `12sqrt3` 18 `18sqrt3` NONE of these Answer :C

Discussion

4418.	If A and Bbe twomutuallyexclusive eventsin a samplespacesuchthat,P(A)= 2/5 and P(B)= 1/2then findP (A uu B ) :
Answer» `7/16` `9/16` `9/10` `1/2` ANSWER :C

Discussion

4419.	Two person P & Q start walking from A towards B. Distance between A & B is 60 km. Speed of P is 4 km/h less than that of Q. After reaching at B person Q returns immediately to A then person Q meets person P at the distance of 12 km from B. What is speed of P and Q?
Answer» ANSWER :8km/h, 12 km/h

Discussion

4420.	A train crosses a bridge of length 150 m in 15 s and a man standing on it in 9 s. The train is travelling at a uniform speed. Length of the train is
Answer» 225m 200m 135 m 90 m Answer :A

Discussion

4421.	4 women and 12 children together take four days to complete a piece of work. How many days will four children alone take to complete the piece of work if two women alone can complete the piece of work in 16 days ?
Answer» 32 24 12 12 Solution :TWO women alone can complete a piece of work in 16 days. `therefore` Four women can complete the same work in 8 days. `therefore` 12 CHILDREN can complren can complete the work in ` = (4xx8)/8 = 8` days `therefore` Four children can complete the work in `(2xx8)/4 = 24` days.

Discussion

4422.	The ratio of investments of two partners is 11:12 and the ratio of their profits is 2 : 3. If A invested the money for 8 months , find for how much time B invested his money.
Answer» ANSWER :RS. 100

Discussion

4423.	if the profit enarned by company L in the year 2005 was Rs. 1.84 lakh what was the profit earned by the company in the year 2006?
Answer» a.2.12 LAKH B.2.3 lakh c. 3.06 lakh d.cannot be DETERMINED ANSWER :B

Discussion

4424.	Altitude and base of a right angle triangle are (x+2) and (2x+3) ( in cm ). If the area of the triangle be 60cm^(2) , the length of the hypotenuse is :
Answer» 21 cm 13 cm 17 cm 15 cm Answer :C

Discussion

4425.	If ABCD is an isoceles trapezium. Diagonal BD = 15 cm ,height= 9 cm find it area AB \|\| CD
Answer» ANSWER :`108CM ^(2)`

Discussion

4426.	In a circle of radius 21 cm, an arc subtends an angle of 72 at the centre. The length of the arc is
Answer» a. 52.8 cm b. 53.8 cm c. 72.8 cm d. 79.8 cm Answer :A

Discussion

4427.	If a^(4) + a^(2)b^(2) + b^(4) = 12, a^(2) + ab+ b^(2)=4, find ab
Answer» ANSWER :`(1)/(2)`

Discussion

4428.	P & Q borrowed Rs. 40000 and 60000 from R at different rate of interest . If the interest given by P after 4 years and interest given by Q after 3 years is same, and Interest of P & Q in 1 year is 8400.Find at what Rate of interset Q borrowed the money from R.
Answer» 7% 8% 9% 10% ANSWER :0.14

Discussion

4429.	0.1 and 5/8 of a bamboo are in mud and water respectively and the rest of length 2.75 m is above water. What is the length of the bamboo?
Answer» 10 m 30 m 27.5 m 20 m Answer :A

Discussion

4430.	A merchant makes a profit of 20% by selling an article. What would be the percentage change in the profit percent had he paid 10% less for it and the customer paid 10% more for it?
Answer» ANSWER :1.25

Discussion

4431.	LetA andBbethe twoeventssuchthatP(A ) = 1/2,P(B )= 1/3andP(A nn B ) = 1/4, find P(A uu B )
Answer» <P> SOLUTION :`P(A UU B) =P(A)+P(B)-P(A NN B)` `=1/2+1/3-1/4=7/12`

Discussion

4432.	Find the values of k so that the quadratic equation x^2 + 2(k-1)x + k+5 = 0 has atleast one positive root.
Answer» `(=oo,-5)UU(-5,-1]` `wle-1` `Wlt1` `(-oo,-5)uu(4,oo)` ANSWER :B

Discussion

4433.	(32^(32^32))/(9)find R.
Answer» 5 7 8 4 Answer :`=4`

Discussion

4434.	What is the sum of all 5 digit numbers which can be formed with the digits 0, 1, 2, 3, 4 without repetition?
Answer» 2599980 235500 923580 765432 Answer :A

Discussion

4435.	Subtract 3p+2q-r from 4p-5q+3r
Answer» SOLUTION :(4x-5y+3Z)-(3x+2y-Z)=(4x-3x)+(-5y-2y)+(3z-(-z))=x-7y+4z

Discussion

4436.	When a number is divided by 1,2,3,4,5, .... ,(n-1), n individually it leaves 0,1,2,3,4,.... ,(n-2), (n-1) respective remainders, then this number can be : (i) (n!) (ii) (n!-1) (iii) [L.C.M. of 1,2,3, ..., n)-1]
Answer» BOTH (i) AND (II) BOTH (ii) AND (III) ONLY (iii) ONLY(ii) ANSWER :B

Discussion

4437.	If each side of a regular dodecagon is 1 cm, find the longest diagonal of the dodecagon.
Answer» `2sqrt(2+sqrt3) CM` `6-3sqrt3 cm` `2sqrt3-sqrt2 cm` `SQRT(3+sqrt2) cm` ANSWER :A

Discussion

4438.	(A + B) can do a piece of work in 12 days. (B + C) can do same work in 6(2)/(3) days. A work for 3 days, B works for 4 days and C completed the remaining work in 7 days. In how many days will A, B and C do this work alone ?
Answer» 18,15.,20 30,20,10 10,15,25 15,10,25 Answer :A`to` 30 days, B`to` 20 days, C`to` 10 days

Discussion

4439.	What is the ratio of the area of circumcircle of equilateral triangle to the area of square with the same side length as the equilateral triangle ?
Answer» `PI:3` `pi:SQRT3` `sqrt3:2` NONE of these Answer :A

Discussion

4440.	The interest on a certain amount of money is Rs. 1500 in 12 years. What is the simple interrest if the principal amount is increased by 10% & 25% respectively from the intial principal amount after every 4 years.
Answer» ANSWER :RS 1675

Discussion

4441.	""^(17) C_r= ""^(17) C_(r+3) findthe valueof r
Answer» 17 6 7 13 Answer :C

Discussion

4442.	The ratio of milk and water in a pot is 3:4. If 3l water is added, then the ratio becomes 3:5. Find the initial quantity of milk.
Answer» 8 litre 5 litre 9 litre 12 litre ANSWER :C

Discussion

4443.	A man spends (1)/(3)of his income on food, (2)/(5)of his income on house rent and (1)/(5) of his income on clothes. If he still has Rs400 left with him, his income is
Answer» ₹ 4000 ₹ 5000 ₹ 6000 ₹ 7000 Answer :C

Discussion

4444.	If alpha and beta are the roots of x^(2)-x-2=0, find the quadratic equation in x whose roots are (2alpha+1) and (2beta+1):
Answer» `x^2+5x-4=0` `x^2-4x-5=0` `x^2+4x-5=0` NONE of these Answer :B

Discussion

4445.	The value of log_(36)1/(216) is:
Answer» `1/6` `-3/2` `1/6` NONE of these ANSWER :B

Discussion

4446.	For any natural number n the sets S_1, S_2,….. are defined as below: S_1 = {1} . S_2 = {2,3}, S_ 3 = {4,5,6} S_4 = {7,8,9,10}, S_5 = {11,12,13,14,15}:etc. In which set, there are maximum number of prime number elements among S_1, S_2, S_3,....,S_13 is :
Answer» `S_12` `S_13` `S_12` and `S_13` `S_9,S_12,S_13` ANSWER :D

Discussion

4447.	Prove that If vertices of a Delta are (2,3) (5,-4) (1,-3) The triangle can't beformed
Answer» Answer :Condition for `Delta`'s AREA = 0 since a LINE can't make `Delta`

Discussion

4448.	Bunty and Babli working together completed a job in 8 days. If Bunty worked twice efficiently as he actually did and Babli worked as efficiently as she actually did, the work would have been completed in 6 days. Find the time taken by Bunty to complete the job alone :
Answer» 16 DAYS 24 days 12 days `13 1/3` days Answer :D

Discussion

4449.	Let S be a sequence of the form [K(1), K(2),....K(m)]. Each term can be defined by the following four functions : P[K(x)]=3Q[K(x)]-4 Q[K(x)]=2R[K(x)]+R[K(2x)] R[K(x)]=S[K(2x)]-S[K(x)] S[K(x)]={{:(0 if xlt0),(3x+4 if 0 le x le 6),(4x+3 if x gt 6):} Also if Q[K(x)]=y then PQ[K(x)]=P[K(y)] What is the value of of sum_(x=-oo)^(+oo)R[K(x)] sum_(4)^(x=1)R[K(x)]=R[K*(1)]xxR[K(2)]xxR[K(3)]xxR[K(4)]?
Answer» `-1 0 1 none of these Answer :B

Discussion

4450.	Let S be a sequence of the form [K(1), K(2),....K(m)]. Each term can be defined by the following four functions : P[K(x)]=3Q[K(x)]-4 Q[K(x)]=2R[K(x)]+R[K(2x)] R[K(x)]=S[K(2x)]-S[K(x)] S[K(x)]={{:(0 if xlt0),(3x+4 if 0 le x le 6),(4x+3 if x gt 6):} Also if Q[K(x)]=y then PQ[K(x)]=P[K(y)] What is the value of of R[K(5)]-S[K(10)]:
Answer» 43 `-19` 14 none of these Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

sqrt7y^(2)-6y-13sqrt7=0:

A started some business with Rs. 26000. After 3 months B joined him with Rs. 16,000. After some more time C joined them with Rs. 25,000. At the end of the year, out of a total profit of Rs. 15,453, C gets Rs 3825 as his share. How many month after B joined the business. did C join?

A parallelogram hassides 30 cm and 20 cm and one of its diagonal is 40 cm long. Then its area is :

In thequestion number13Howmanywordsare there inwhichI andO arenevertogether?

In the given figure, ABC is an isosceles triangle in which AB = AC and angleABC = 50^(@), angleBDC :

While selling an electric fan, a dealer gives a discount of 5%. If he gives a discount of 8%, he earns ₹ 36 less as profit. The marked price of the fan is

Which one is perfect No ?

Manu scored 384 marks out of 450. What per cent marks did she get ?

If 10s in^4alpha+15cos^4alpha=6, find the value of 27cos e c^6alpha+8s e c^6alpha.

The value of (1.2.3…..9).(11.12.13…19).(21.22.23….29).(31.32.33……39).(41.42.43….49).(51.52.53…..59)……(91.92….99)

The value of the numeral MCDLXIV is :

The ratio of number of girls to number of boys is 1:2. If the average weight of the boys is 30 kg and the average weight of both the boys and the girls be 25 kg, then the average weight of the girls is:

If n! - n = n, then the value of n is :

Aashutosh can cover a certain distance in 84min by covering 2/3rd of distance at 4 km/h and the rest at 5 km/h. Find the total distance.

If (x+1/x)=2sqrt3 then the value of (x^3+1/x^3) is:

If A and Bbe twomutuallyexclusive eventsin a samplespacesuchthat,P(A)= 2/5 and P(B)= 1/2then findP (A uu B ) :

Two person P & Q start walking from A towards B. Distance between A & B is 60 km. Speed of P is 4 km/h less than that of Q. After reaching at B person Q returns immediately to A then person Q meets person P at the distance of 12 km from B. What is speed of P and Q?

A train crosses a bridge of length 150 m in 15 s and a man standing on it in 9 s. The train is travelling at a uniform speed. Length of the train is

4 women and 12 children together take four days to complete a piece of work. How many days will four children alone take to complete the piece of work if two women alone can complete the piece of work in 16 days ?

The ratio of investments of two partners is 11:12 and the ratio of their profits is 2 : 3. If A invested the money for 8 months , find for how much time B invested his money.

if the profit enarned by company L in the year 2005 was Rs. 1.84 lakh what was the profit earned by the company in the year 2006?

Altitude and base of a right angle triangle are (x+2) and (2x+3) ( in cm ). If the area of the triangle be 60cm^(2) , the length of the hypotenuse is :

If ABCD is an isoceles trapezium. Diagonal BD = 15 cm ,height= 9 cm find it area AB || CD

In a circle of radius 21 cm, an arc subtends an angle of 72 at the centre. The length of the arc is

If a^(4) + a^(2)b^(2) + b^(4) = 12, a^(2) + ab+ b^(2)=4, find ab

P & Q borrowed Rs. 40000 and 60000 from R at different rate of interest . If the interest given by P after 4 years and interest given by Q after 3 years is same, and Interest of P & Q in 1 year is 8400.Find at what Rate of interset Q borrowed the money from R.

0.1 and 5/8 of a bamboo are in mud and water respectively and the rest of length 2.75 m is above water. What is the length of the bamboo?

A merchant makes a profit of 20% by selling an article. What would be the percentage change in the profit percent had he paid 10% less for it and the customer paid 10% more for it?

LetA andBbethe twoeventssuchthatP(A ) = 1/2,P(B )= 1/3andP(A nn B ) = 1/4, find P(A uu B )

Find the values of k so that the quadratic equation x^2 + 2(k-1)x + k+5 = 0 has atleast one positive root.

(32^(32^32))/(9)find R.

What is the sum of all 5 digit numbers which can be formed with the digits 0, 1, 2, 3, 4 without repetition?

Subtract 3p+2q-r from 4p-5q+3r

When a number is divided by 1,2,3,4,5, .... ,(n-1), n individually it leaves 0,1,2,3,4,.... ,(n-2), (n-1) respective remainders, then this number can be : (i) (n!) (ii) (n!-1) (iii) [L.C.M. of 1,2,3, ..., n)-1]

If each side of a regular dodecagon is 1 cm, find the longest diagonal of the dodecagon.

(A + B) can do a piece of work in 12 days. (B + C) can do same work in 6(2)/(3) days. A work for 3 days, B works for 4 days and C completed the remaining work in 7 days. In how many days will A, B and C do this work alone ?

What is the ratio of the area of circumcircle of equilateral triangle to the area of square with the same side length as the equilateral triangle ?

The interest on a certain amount of money is Rs. 1500 in 12 years. What is the simple interrest if the principal amount is increased by 10% & 25% respectively from the intial principal amount after every 4 years.

""^(17) C_r= ""^(17) C_(r+3) findthe valueof r

The ratio of milk and water in a pot is 3:4. If 3l water is added, then the ratio becomes 3:5. Find the initial quantity of milk.

A man spends (1)/(3)of his income on food, (2)/(5)of his income on house rent and (1)/(5) of his income on clothes. If he still has Rs400 left with him, his income is

If alpha and beta are the roots of x^(2)-x-2=0, find the quadratic equation in x whose roots are (2alpha+1) and (2beta+1):

The value of log_(36)1/(216) is:

For any natural number n the sets S_1, S_2,….. are defined as below: S_1 = {1} . S_2 = {2,3}, S_ 3 = {4,5,6} S_4 = {7,8,9,10}, S_5 = {11,12,13,14,15}:etc. In which set, there are maximum number of prime number elements among S_1, S_2, S_3,....,S_13 is :

Prove that If vertices of a Delta are (2,3) (5,-4) (1,-3) The triangle can't beformed

Bunty and Babli working together completed a job in 8 days. If Bunty worked twice efficiently as he actually did and Babli worked as efficiently as she actually did, the work would have been completed in 6 days. Find the time taken by Bunty to complete the job alone :