8677 + Interview Questions in Maths in Class 14 Page 155 InterviewSolution

7701.	A sphere of radius 6 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made? 6 सेमी त्रिज्या के एक गोले को पिघलाया जाता है और प्रत्येक 2 सेमी त्रिज्या के गोले में फिर से ढाला जाता है। ऐसे कितने गोले बनाए जा सकते हैं?
Answer» 18 16 12 15 Answer :D

Discussion

7702.	How many arrangements can be made out of the letters of the word COMMITTEE, taken all at a time, such that the four vowels do not come together?
Answer» a. 216 b. 45360 c. 1260 d. 43200 Answer :D

Discussion

7703.	A number x is mistakenly deivided by 10 instead of being multiplied by 10. What is the percentage error in the result ?
Answer» `-99%` `+99%` `-100%` `+100%` ANSWER :A

Discussion

7704.	A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
Answer» A) 21:29 B) 41:54 C) 32:45 D) 37:51 Answer :A

Discussion

7705.	Boston, Churchill and David are three workers, employed by a contractor. They completed the whole work in 10 days. Initially all of them worked together, but the last 60% of the work was completed by only Churchill and David together. Boston worked with Churchill and David only for initial two days then he left the work due to his poor health. Also Churchill takes 20% less time to finish the work alone than that of David working alone. If they were paid ₹ 3000 for the entire work, then what is the share of least efficient person?
Answer» ₹ 900 ₹ 1200 ₹ 1000 none of these Answer :C

Discussion

7706.	A shopkeeper told me when I have asked him the total number of cellphones in his shop, that he had all Kyocera except three, all Nokia except three, all samsung except three and all L.G. except three. The number of mobile(i.e., cell phones) he had is :
Answer» 24 256 can't be determined none of these Answer :D

Discussion

7707.	While walking down on the pavements of New York city. I notice that every 20 minute there is a city bus coming in the opposite direction and every 30 minute there is a city bus overtaking me from behind. What is the time gap between one city bus passing a stationary point known as Local Bus Stop beside the route and the immediately next city bus in the same direction passing the same stationary point?
Answer» 27 min 24 min 25 min can't be determined Answer :B

Discussion

7708.	If the sum of the roots of the equation ax^2 +bx +c=0 is equal to sum of the squares of their reciprocals, then bc^2,ca^2 ,ab^2 are in
Answer» HP GP AP AGP Answer :C

Discussion

7709.	A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer, Besides, he also cheats both his supplier and his buyer by 100 grams while buying of selling 1 kilogram. Find the percentage profit earned by the shopkeeper?
Answer» `20%` `25%` `32%` `27.5%` ANSWER :A

Discussion

7710.	Vijay and Siddhartha go to a pub and order a pithcer full of beer. In an hour together they finish half the pitcher of beer. Vijay alone can finish a pithcer of beer in x hours and Siddhartha alone can finish a pitcher of beer in y hours. If x and y are the integral numbers, then the maximum value of x+y is
Answer» a.4 b.8 C.9 d.12 Answer :C

Discussion

7711.	97.2bar81 xx 100
Answer» SOLUTION :`97.2818181 XX 100 = 9728.181818 = 9728.1bar81`

Discussion

7712.	Maximumnumber ofpoints of intersection of 6 straightlinesis :
Answer» 30 15 28 none of these Answer :B

Discussion

7713.	If x+ (1)/(x)= -1 findx^(51) + x^(45) + x^(21) + x^(15) + x^(3) + 2= ?
Answer» ANSWER :7

Discussion

7714.	ABCD is a parallelogram. P and Q are mid points of BC & CD. Find the area of DeltaAPQ if area of DeltaABC is 12.
Answer» trapezium parallelogram square none of these Answer :B

Discussion

7715.	138.009+341.981-146.305=123.6+?
Answer» 210.85 120.85 220.085 None of these Solution :`?=138.009+341.981-146.305-123.60` `:. ?=210.085`

Discussion

7716.	A and B completed a work together in 8 days. Had A worked at twice the speed and B at one-third of his speed it would have taken them 6 days to complete the job. How much time would it take for B alone to do the work?
Answer» 10 20 15 25 Answer :B

Discussion

7717.	Radhika purchased one dozen bangles. One day she slipped on the floor fell down. What cannot be the ratio of broken to unbroken bangles :
Answer» 1:2 2:3 1:3 5:1 Answer :C

Discussion

7718.	For the every theta,0ltthetale90, find the values of the following angle tantheta+cottheta=2
Answer» `30^@` `45^@` `60^@` `55^@` Answer :B

Discussion

7719.	If Lines 2x+3y=18 and 4x+ky=39 are perpendicular line then find k?.
Answer» ANSWER :`a_(1)a_(2)+b_(1)b_(2)=0`

Discussion

7720.	Find the sum to first n terms : 1+2/3 + 3/(3^2) + 4/(3^3)+….
Answer» a)`3/4 - (3+2N)/(4(3^(n-1)))` b)`9/4 - 3/4 [(3+2n)/(3^n)]` c)`2n - (1/n)^2` d)NONE of these Answer :B

Discussion

7721.	45-[28-{37-(15-k)}]=58 the value of k is :
Answer» 19 -19 -39 none of these Answer :A

Discussion

7722.	In what ratio must oil at rs. 62 per L mixed with oil at rs. 72 per L, so that the mixture must be worth rs. 64 per L?
Answer» a. 1:4 b. 4:1 C. 1:3 d. 2:3 Answer :C

Discussion

7723.	A scooty is sold by an automobile agency for ? 19200 cash or for ? 4800 cash down payment together with five equal monthly instalments. If the rate of interest charged by the company is 12% per annum, then find each instalment.
Answer» SOLUTION : N/A

Discussion

7724.	Consider the following statement: 1. If both the terms of a ratio are multiplied or divided by the same natural number, then theratio remains unaltered. 2. A statement which states that two ratios are equivalent is called proportion. c. If 4 quantities are in proportion, the product of extremes is not equal to the means. 4. The mean proportion between any two numbers is equalto the square root of their product. The wrong one statements is /are:
Answer» 1 3 3 and 4 1 and 4 Answer :C

Discussion

7725.	(sintheta-costheta+1)/(sintheta+costheta-1) (where theta ne (pi)/(2)) is equal to
Answer» `(1+SINTHETA)/(COSTHETA)` `(1-sintheta)/(costheta)` `(1-costheta)/(sintheta)` `(1+costheta)/(sintheta)` ANSWER :A

Discussion

7726.	What will come in place of unit digit in the value of (7)^(35) xx (3)^(71) xx (11)^(55) ?
Answer» 0 3 1 6 Answer :C

Discussion

7727.	The number of zeros at the end of 100! Is :
Answer» 82 73 156 none of these ANSWER :B

Discussion

7728.	Bipasha and Mallika leave towns Kolkata and Ambala at 6 am and travel towards Ambala and kolkata respectively. Speed of Bipasha is 60 km/h and speed of Mallika is 120 km/h. Rani leaves Kolkata for Ambala sometime later and travels at a speed of 90 km/h. If the distance between Kolkata and Ambala is 1080 km and all three meet at the same point on the way, at same time, then at what time did Rani leave Kolkata?
Answer» `7` am `8` am `7:30` am `10` am Answer :B

Discussion

7729.	A number n is said to be 'perfect' if the sum of all its divisors excluding n 'itself' is equal to n. An example of perfect number is :
Answer» 9 15 21 6 Answer :D

Discussion

7730.	If (1+sinx)/(cosx)+(cosx)/(1+sinx)=4, then find x.
Answer» `60^(@)` `30^(@)` `0^(@)` `90^(@)`

Discussion

7731.	40% of a number when added to the square of the same number, then it is increased to 40% of itself the actual number is :
Answer» a. 175 b. 400 C. 0 or 1 d. 120 Answer :C

Discussion

7732.	If in a DeltaABCangle bisectors of exterior angle angle B and angle C intersect at Pangle BPC = 40^(@) find angle A
Answer» ANSWER :`A = 100 ^(@)`

Discussion

7733.	My income is Rs 20000. I spent 80%of my income. When my income increased by 20%then I spent Rs. 5000 more. Find the percent change in my savings.
Answer» ANSWER :`25%`

Discussion

7734.	(1)/(3) of a commodity is sold at 15% profit, (1)/(4) is sold at 20% profit and the rest at 24% profit. If a total profit of Rs 62 is earned, then find the value of the commodity
Answer» ANSWER :RS. 310

Discussion

7735.	Earlier when I have created my e-mail-ID, the password was consisting of first 4 prime numbers. Recently when 1 tried to check my emails I got dumbfounded since I could not remember my password exactly. So when I have written 2735, my computer indicated me that no digit is correctly placed. Again I tried 5273, I got the same response. So once again I have writen only 3 as the left most digit for my password it again indicated me that it was wrong. Finally I have taken one more attempt and got the account open. The code of my passward is :
Answer» a.2537 B.7352 c.7325 d.none of these ANSWER :B

Discussion

7736.	A box contains 5 red balls, 8 green balls and 10 pink balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
Answer» `13/23` `10/23` `11/23` `13/529` ANSWER :A

Discussion

7737.	If tanA=(1)/(3)andtanB=(2)/(5) , what is the value oftan (2A+B) ?
Answer» tan 2A = TANB tan 2A = `tan^(2)` B tan 2A = `tan^(2)A+tan^(2)B` tan 2A = `tan^(2)A-tan^(2)B` Answer :A

Discussion

7738.	O is the Ortho centre of Delta ABCthen A will be Orthocentre
Answer» `DELTA ABE` `Delta BOC` `DeltaOBF` `DeltaOBD` ANSWER :(II)

Discussion

7739.	Find the soluations of the following equations. p^(-6)-9p^(-3)+8=0
Answer» SOLUTION :`_-^+SQRT2I`

Discussion

7740.	When (x^3-2x^2+px-q) is divided by (x^2-2x-3) the remainder is (x-6)The values of p and q are:
Answer» p=-2,q=-6 p=2,q=-6 p=-2,q=6 p=2,q=6 Answer :C

Discussion

7741.	In two Concentric circles, AB and CD are two chords of the outer circle which touch the inner circle at E and F. Then :
Answer» AB = CD `AB = (1)/(2) CD` `AB NE CD` NONE of these ANSWER :A

Discussion

7742.	A, B and C can do a piece of work individually in 8, 12 and 15 days, respectively. A and B start working but A quits after working for 2 days. After this, C joins B till the completion of work. In how many days will the work be completed?
Answer» ` 5 8/8 days` ` 4 2/3 days` 6 days 3 days Solution :Work was done by A and B in 1 day ` =1/8 + 1/12 = 5/24` 2 day's work of A and ` B = 10/24` After 2 day's A left the work `therefoer` Remaining work `= 1 - 10/24=14/24` One day work of B and C toegther `= 1/12 + 1/15 = 9/60` So, the number of days required by B and C to finish work `=(14//24)/(9//60) = 14/24 xx 60/9 = 35/9` `therefore` Total days to complete the work `=2 + 35/9 = 53/9 = 5 8/9` days

Discussion

7743.	How many different signals can be given using any number of flags from 6 flags of different colours?
Answer» 1240 1956 3976 1976 Answer :B

Discussion

7744.	1/(log_(ab)abc) + 1/(log_(bc) abc) + 1/(log_(ca)abc) is equal to:
Answer» 0 1 2 3 Answer :C

Discussion

7745.	(10^(10)+10^(100)+10^(1000)+ -----+10^10000000000)/(7)find R.
Answer» 3 4 5 6 Answer :`=5`

Discussion

7746.	A tank 4m long and 2.5 m wide and 6 m deep is dug in a field 10 m long and 9 m wide.If the earth dugout is evenly spread over the field , the rise in level of the field will be :
Answer» 80 CM 75 cm 60 cm 30 cm Answer :B

Discussion

7747.	A train overtakes two persons who are walking at the rate of 4km/h and8km/h in the same direction and passes them completely in 18 and 20s,respectively.Find the length of the train
Answer» ANSWER :`=200 m`

Discussion

7748.	A is 40 % more efficient than B and B is 20 % less efficient than C. If A takes 6 days less than C to complete a work, then in how many days will B complete this work ?
Answer» ANSWER :70 DAYS

Discussion

7749.	A sonata watch is sold for ₹440 cash or for ₹ 200 cash down payment together with ₹ 244 to be paid after one month. Find the rate of interest charged in the instalment scheme :
Answer» `10%` `15%` `20%` `25%` ANSWER :C

Discussion

7750.	If f(x)=(x+1)/(x-1) then the value of f(f(f(x))) is :
Answer» 2 3 4 6 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

How many arrangements can be made out of the letters of the word COMMITTEE, taken all at a time, such that the four vowels do not come together?

A number x is mistakenly deivided by 10 instead of being multiplied by 10. What is the percentage error in the result ?

A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?

A shopkeeper told me when I have asked him the total number of cellphones in his shop, that he had all Kyocera except three, all Nokia except three, all samsung except three and all L.G. except three. The number of mobile(i.e., cell phones) he had is :

If the sum of the roots of the equation ax^2 +bx +c=0 is equal to sum of the squares of their reciprocals, then bc^2,ca^2 ,ab^2 are in

A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer, Besides, he also cheats both his supplier and his buyer by 100 grams while buying of selling 1 kilogram. Find the percentage profit earned by the shopkeeper?

97.2bar81 xx 100

Maximumnumber ofpoints of intersection of 6 straightlinesis :

If x+ (1)/(x)= -1 findx^(51) + x^(45) + x^(21) + x^(15) + x^(3) + 2= ?

ABCD is a parallelogram. P and Q are mid points of BC & CD. Find the area of DeltaAPQ if area of DeltaABC is 12.

138.009+341.981-146.305=123.6+?

A and B completed a work together in 8 days. Had A worked at twice the speed and B at one-third of his speed it would have taken them 6 days to complete the job. How much time would it take for B alone to do the work?

Radhika purchased one dozen bangles. One day she slipped on the floor fell down. What cannot be the ratio of broken to unbroken bangles :

For the every theta,0ltthetale90, find the values of the following angle tantheta+cottheta=2

If Lines 2x+3y=18 and 4x+ky=39 are perpendicular line then find k?.

Find the sum to first n terms : 1+2/3 + 3/(3^2) + 4/(3^3)+….

45-[28-{37-(15-k)}]=58 the value of k is :

In what ratio must oil at rs. 62 per L mixed with oil at rs. 72 per L, so that the mixture must be worth rs. 64 per L?

A scooty is sold by an automobile agency for ? 19200 cash or for ? 4800 cash down payment together with five equal monthly instalments. If the rate of interest charged by the company is 12% per annum, then find each instalment.

(sintheta-costheta+1)/(sintheta+costheta-1) (where theta ne (pi)/(2)) is equal to

What will come in place of unit digit in the value of (7)^(35) xx (3)^(71) xx (11)^(55) ?

The number of zeros at the end of 100! Is :

A number n is said to be 'perfect' if the sum of all its divisors excluding n 'itself' is equal to n. An example of perfect number is :

If (1+sinx)/(cosx)+(cosx)/(1+sinx)=4, then find x.

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

If in a DeltaABCangle bisectors of exterior angle angle B and angle C intersect at Pangle BPC = 40^(@) find angle A

My income is Rs 20000. I spent 80%of my income. When my income increased by 20%then I spent Rs. 5000 more. Find the percent change in my savings.

(1)/(3) of a commodity is sold at 15% profit, (1)/(4) is sold at 20% profit and the rest at 24% profit. If a total profit of Rs 62 is earned, then find the value of the commodity

A box contains 5 red balls, 8 green balls and 10 pink balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?

If tanA=(1)/(3)andtanB=(2)/(5) , what is the value oftan (2A+B) ?

O is the Ortho centre of Delta ABCthen A will be Orthocentre

Find the soluations of the following equations. p^(-6)-9p^(-3)+8=0

When (x^3-2x^2+px-q) is divided by (x^2-2x-3) the remainder is (x-6)The values of p and q are:

In two Concentric circles, AB and CD are two chords of the outer circle which touch the inner circle at E and F. Then :

A, B and C can do a piece of work individually in 8, 12 and 15 days, respectively. A and B start working but A quits after working for 2 days. After this, C joins B till the completion of work. In how many days will the work be completed?

How many different signals can be given using any number of flags from 6 flags of different colours?

1/(log_(ab)abc) + 1/(log_(bc) abc) + 1/(log_(ca)abc) is equal to:

(10^(10)+10^(100)+10^(1000)+ -----+10^10000000000)/(7)find R.

A tank 4m long and 2.5 m wide and 6 m deep is dug in a field 10 m long and 9 m wide.If the earth dugout is evenly spread over the field , the rise in level of the field will be :

A train overtakes two persons who are walking at the rate of 4km/h and8km/h in the same direction and passes them completely in 18 and 20s,respectively.Find the length of the train

A is 40 % more efficient than B and B is 20 % less efficient than C. If A takes 6 days less than C to complete a work, then in how many days will B complete this work ?

A sonata watch is sold for ₹440 cash or for ₹ 200 cash down payment together with ₹ 244 to be paid after one month. Find the rate of interest charged in the instalment scheme :

If f(x)=(x+1)/(x-1) then the value of f(f(f(x))) is :