8677 + Interview Questions in Maths in Class 14 Page 101 InterviewSolution

5001.	A 5m wide lawn is cultivated all along the outsides of a rectangularplot measuring90 m xx 40 m . The total area of the lawn is :
Answer» `1441 m^2` `1400 m^2` `2600 m^2` `420 m^2` ANSWER :B

Discussion

5002.	A hare, pursued by a grey-hound, is 50 of her own leaps ahead of him. While the hare takes 4 leaps the grey-hound takes 3 leaps. In one leap the hare goes 7/4 metres and the grey-hound 11/4 metres. In how many leaps will the grey-hound overtake the hare?
Answer» ANSWER : 210 LEAPS

Discussion

5003.	There are 4 different letters and 4 addressed envelopes. In how many ways can the letters be put in the envelopes so that atleast one letter goes to the correct address?
Answer» a. 15 b. 16 c. 18 d. 12 Answer :A

Discussion

5004.	Walking at 3/4 of her normal speed Malleshwari takes 2 hours more then the normal time.What is the normal time?
Answer» 4 h 5 h 6 h 8 h Answer :B

Discussion

5005.	Ishan spent rs. 35645 on buying a bike, rs. 24355 ontelevision and the remaining 20% of the total amount he had cash with him. What was the amount?
Answer» a. RS. 60000 B. rs. 72000 c. rs. 75000 d. rs. 80000 Answer :B

Discussion

5006.	In how many ways can a cricket team of 11 players be chosen out of a batch of 15 players? A particular player is always chosen.
Answer» a. 4004 b. 1001 C. 6876 d. 8080 Answer :C

Discussion

5007.	For the every theta,0ltthetale90, find the values of the following angle 2sin^2theta+4cos^2theta=3
Answer» `30^@` `60^@` `45^@` `80^@` ANSWER :C

Discussion

5008.	Theoddsagainstof aneventare 5:7 , findtheprobilityof occurrenceof thisevent .
Answer» `3/8` `7/12` `2/7` `5/12` ANSWER :B

Discussion

5009.	Find the remainder when (3)^(152) is divided by 15.
Answer» 3 2 6 9 Answer :C

Discussion

5010.	A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for Rs. 2 less, then he would have gained 16(2)/(3)%The cost price of the commodity is
Answer» RS. 33 Rs. 36 Rs. 40 Rs. 48 Answer :40 Rs

Discussion

5011.	A sum of money at the simple interest amounts to ₹5852 in3 years and ₹7788 in 7 years. What is the rate of interest per annum?
Answer» a) 8 b) 9 c) 1 d) 11 Solution :Let SUM = ₹A and interest rate = r% ` A + (A xx r xx 3)/100 = 5852` ` A( 1 + (3r)/100)= 5852` ` A + ( Axxr xx 7)/ 100 = 7788` ` A ( 1 + ( 7R)/100) = 7788` From equation (i) and (ii), r=11%

Discussion

5012.	Find the number of two digits number 1.Sum of the digits is 15, 2. Difference between the digits is 3,
Answer» If the STATEMENT I alone is sufficient to answer the QUESTION but the statement 2 alone is not sufficient If the Statement 2 alone is sufficient to answer the question but the statement alone is not sufficient If both Statements1 and 2 together are NEEDED to answer the question If can't get the answer from the STATEMENTS 1 and 2 together and NEED even more data

Discussion

5013.	Selling price of 25 articles is equal to cost price of 20 articles. Find profit/loss percent?
Answer» ANSWER :20% LOSS

Discussion

5014.	Find the sum of the series (1^3)/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+5)+up to nterms.
Answer» 224 446 2356 none of these Answer :B

Discussion

5015.	The remainder when (12^(13) + 23^(13)) is divided by 11:
Answer» 0 1 2 none of these Answer :C

Discussion

5016.	Initially a shopkeeper had a chocolates. A customer bought 10% chocolate then another customer bought 20% of the remaining chocolates, after that one more customer purchased 25% of the remaining chocolates. Finally shopkeeper is left with 270 chocolates in his shop. How many chocolates were there initially in his shop ?
Answer» 2 3 4 3.5 Answer :B

Discussion

5017.	In what time will Rs. 8100 produce the same income at 3% as Rs. 225 in 4 years at 3%.
Answer» ANSWER :`(1)/(9)` YEARS

Discussion

5018.	What will be the maximum value of 15-(x-3)^(2) ?
Answer» ANSWER :3

Discussion

5019.	If A = 555! And B = (278)^(555) then which one of the following relation is appropriate?
Answer» `AGTB` A=B `ALTB` can't say Answer :C

Discussion

5020.	ABC is a Delta.and(A0)/(OD) = 4/1 ,(BD)/(DC) = 2/1Find(AF)/(FC),(BO)/(OF)
Answer» ANSWER :`(8)/(3)`

Discussion

5021.	If ABCDEFis a regular hexagon. Find the ratioof Area of Delta ACEto area of hexagonABCDEF
Answer» ANSWER :`(1)/(2)`

Discussion

5022.	Find the number of terms in 7xxa+bdiv3-c+b.
Answer» 3 5 4 6 Answer :C

Discussion

5023.	The price of a necklace varies directly as the no. of pearls in it. Also it varies directly as the square root of radius of a pearl. The price of a necklace was Rs. 150. When it had 75 pearls each of radius 1 cm. Find the radius of the pearl of a neclace having 100 pearls whose cost is Rs. 600.
Answer» 2 9 3 4 Answer :B

Discussion

5024.	If sintheta and costhetaare the roots of the equationax^(2)-bx+c=0 , then which of the following selection is correct :
Answer» `a^(2)+B^(2)=2ac=0` `a^(2)-b^(2)+2ac=0` `a^(2)+b^(2)-2ac=0` `a^(2)-b^(2)-2ac=0` ANSWER :B

Discussion

5025.	Find the sum of the series 1+4/5+7/(5^2)+10/(5^3)+...
Answer» 35/16+7n/5 `(12n-7)/16(5^n-1)` `35/16-[12n+7/16(5^n-1)]` NONE of these Answer :C

Discussion

5026.	A, B & C started a business and invested in the ratio 7:6:5. Next Year, they increased their investment by 25%, 20% and 15%, respectively. In what ratio should profit earned only during 2ndyear be distributed?
Answer» A) 155:144:175 B) 155:124:95 C) 135:147:152 D) 175:144:115 Answer :d

Discussion

5027.	Radha bought a plot amounting Rs. 96000. She sold the 2/5 part at 6% loss. At what percent of profit should the remaining part be sold so that overall profit would be 10% ?
Answer»

Discussion

5028.	Find the sum due, if the true discount on a sum due 2 yr hence at 14% rate of interest be ? 336.
Answer» ANSWER :RS. 1536

Discussion

5029.	Find the rate of interest, if S.I. for 5 years is Rs. 4000 and C.I. for 2 years is 1632.
Answer» ANSWER :0.04

Discussion

5030.	How many numbers are there from 200 to 800 which are neither divisible by 5 nor by 7? 200 से 800 तक ऐसी कितनी संख्याएँहै जो ना तो 5 से ना ही 7 से विभाज्य है?
Answer» 411 412 410 none of these Answer :A

Discussion

5031.	Arrange the following integers in descending order 17, 18, 15, 32, 81, -5, 87.
Answer» SOLUTION :`87, 81, 32, 18, 15, -5, -17`

Discussion

5032.	An article was bought fort ₹5600. Its price was marked up by 12%. Thereafter it was sold at a discount of 5% on the market price.What was the market price of the article?
Answer» ₹6207/- ₹6242/- ₹6292/- ₹6192/- Solution :Cost priceof ARTICLE = ₹ 5600 MARKETPRICE `= 5600 XX(12)/(100) = 6272` `thereforeSP = 6272 - 6272 xx(5)/(100) = 5958.4`

Discussion

5033.	A problemis giventothreestudentswhosechancesofsolvingit are1/2 , 1/3and 1/4respectively. Whatis theprobabilitythat theproblemwill be solved ?
Answer» `1/4` `1/2` `3/4` `7/12` ANSWER :C

Discussion

5034.	If the area of a square is 400 m sq, what will be the sides and perimeter?
Answer» `100sqrt(2)` ANSWER :C

Discussion

5035.	If 1/2 log x + 1/2 log y + log2 = log(x+y), then:
Answer» x+y=0 x=y x=2, y=0 x =LOG y ANSWER :B

Discussion

5036.	If xcostheta+ysintheta=4&xcostheta-ysintheta=0, then which one is correct?
Answer» `x^(2)+y^(2)=4` `x^(2)+y^(2)=16` `(1)/(x^(2))+(1)/(y^(2))=(1)/(4)` `(1)/(x^(2))+(1)/(y^(2))=4` ANSWER :A::D

Discussion

5037.	A fruit vendor purchased 80 dozens of bananas at Rs. 10 per dozen. Out of this, 12 dozens got rotten and he sold them at Rs 6 per dozen. Remaining bananas were sold by him at Rs. 14 per dozen. What profit did the make in this transaction?
Answer» ANSWER :`29.1%`

Discussion

5038.	The value of 25^(-1//4log_(5)25) is :
Answer» `1/5` `-1/25` `-25` NONE of these Answer :A

Discussion

5039.	A right circular cone of radius 4 cm and slant height 5 cm is carved out from a cylindrical piece of wood of same radiusand height 5 cm. The surface area of the remaining wood is :
Answer» `84pi` `70pi` `76pi` `50PI` ANSWER :C

Discussion

5040.	A die is thrown twice and the sum of the numbers appearing is observed to be 9. What is the conditional probability that the number 4 has appeared atleast once ?
Answer» `1/2` `2/3` `3/4` NONE of these Answer :A

Discussion

5041.	Mohan Namita and Pranav travel from Shantipur to Hulchulpur. They have a two seeter bike which can be driven by only mohan. It is known that due to very stringent traffic rules only two persons can ride at a time. Hulchulpur is 180 km away from shantipur. All of them can walk at 6 km/h but reach to hulchulpur simultaneously also they started their journey simultaneously. If the speed of the bike is 42km/h then what is the shortest possible time in which all three of them can complete the jouirney?
Answer» 7(1)/3h 9(4)/7h 9(3)/7h can't be determined Answer :C

Discussion

5042.	Mohan Namita and Pranav travel from Shantipur to Hulchulpur. They have a two seeter bike which can be driven by only mohan. It is known that due to very stringent traffic rules only two persons can ride at a time. Hulchulpur is 180 km away from shantipur. All of them can walk at 6 km/h but reach to hulchulpur simultaneously also they started their journey simultaneously. If the speed of the bike is 30 km/h then what is the total distance that the bike travels ?
Answer» 400km 380km 200km 420km Answer :B

Discussion

5043.	If tantheta+cottheta=2 then find the value of tan^(2)theta+cot^(2)theta.
Answer» 2 1 `SQRT(2)` 0 Answer :A

Discussion

5044.	Find the remainder when (19191919 …….. 8 times) is divided by 7.
Answer» 1 2 4 6 Answer :a

Discussion

5045.	In question 118, if m_(1) and m_(2) are the magnifications for two positions of the lens, then
Answer» 2 3 4.5 4.8 Answer :C

Discussion

5046.	A hollow cylinder made of wood has thickness 1 cm while its external radius is 3 cm. If the height of the cylinder is 8 cm, then find the volume, curved surface area and total surface area of the cylinder.
Answer» ANSWER :`(1760)/(7) SQ CM `

Discussion

5047.	The traffic lights at three different road crossings change after 24 seconds, 36 seconds and 54 seconds, respectively. If they all change simultaneously at 10 : 15 : 00 AM, then at what time will they again change simultaneously ?
Answer» `10:16:54` `10:18:36` `10:17:02` `10:22:12` ANSWER :B

Discussion

5048.	A bagcontains three types of coins1-rupee coins, 50 p-coins and 25 p-coinstotalling 175 coins. If the total value of the coins of each kind be thesame, the total amount in the bag is(a) Rs75 (b) Rs 126 (c) Rs 175 (d) Rs 300
Answer» RS. 80 Rs.180 Rs.75 Rs.175 Answer :C

Discussion

5049.	When 200 is divided by a positive integer x, the remainder is 12. How many values of x are possible?
Answer» 1 2 3 4 Answer :C

Discussion

5050.	Let a, b, c be real, if ax^(2)+bx+c=0 has two real roots alpha, beta, where alt-1 and betagt1, then the value of 1+(c)/(a)+\|(b)/(a)\| is :
Answer» a. less than -1 B. greater than zero c. EQUAL to zero d. equal to `b^(2)-4AC` ANSWER :A

Discussion

Explore topic-wise InterviewSolutions in .

A 5m wide lawn is cultivated all along the outsides of a rectangularplot measuring90 m xx 40 m . The total area of the lawn is :

A hare, pursued by a grey-hound, is 50 of her own leaps ahead of him. While the hare takes 4 leaps the grey-hound takes 3 leaps. In one leap the hare goes 7/4 metres and the grey-hound 11/4 metres. In how many leaps will the grey-hound overtake the hare?

There are 4 different letters and 4 addressed envelopes. In how many ways can the letters be put in the envelopes so that atleast one letter goes to the correct address?

Walking at 3/4 of her normal speed Malleshwari takes 2 hours more then the normal time.What is the normal time?

Ishan spent rs. 35645 on buying a bike, rs. 24355 ontelevision and the remaining 20% of the total amount he had cash with him. What was the amount?

In how many ways can a cricket team of 11 players be chosen out of a batch of 15 players? A particular player is always chosen.

For the every theta,0ltthetale90, find the values of the following angle 2sin^2theta+4cos^2theta=3

Theoddsagainstof aneventare 5:7 , findtheprobilityof occurrenceof thisevent .

Find the remainder when (3)^(152) is divided by 15.

A businessman sells a commodity at 10% profit. If he had bought it at 10% less and sold it for Rs. 2 less, then he would have gained 16(2)/(3)%The cost price of the commodity is

A sum of money at the simple interest amounts to ₹5852 in3 years and ₹7788 in 7 years. What is the rate of interest per annum?

Find the number of two digits number 1.Sum of the digits is 15, 2. Difference between the digits is 3,

Selling price of 25 articles is equal to cost price of 20 articles. Find profit/loss percent?

Find the sum of the series (1^3)/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+5)+up to nterms.

The remainder when (12^(13) + 23^(13)) is divided by 11:

In what time will Rs. 8100 produce the same income at 3% as Rs. 225 in 4 years at 3%.

What will be the maximum value of 15-(x-3)^(2) ?

If A = 555! And B = (278)^(555) then which one of the following relation is appropriate?

ABC is a Delta.and(A0)/(OD) = 4/1 ,(BD)/(DC) = 2/1Find(AF)/(FC),(BO)/(OF)

If ABCDEFis a regular hexagon. Find the ratioof Area of Delta ACEto area of hexagonABCDEF

Find the number of terms in 7xxa+bdiv3-c+b.

The price of a necklace varies directly as the no. of pearls in it. Also it varies directly as the square root of radius of a pearl. The price of a necklace was Rs. 150. When it had 75 pearls each of radius 1 cm. Find the radius of the pearl of a neclace having 100 pearls whose cost is Rs. 600.

If sintheta and costhetaare the roots of the equationax^(2)-bx+c=0 , then which of the following selection is correct :

Find the sum of the series 1+4/5+7/(5^2)+10/(5^3)+...

A, B & C started a business and invested in the ratio 7:6:5. Next Year, they increased their investment by 25%, 20% and 15%, respectively. In what ratio should profit earned only during 2ndyear be distributed?

Radha bought a plot amounting Rs. 96000. She sold the 2/5 part at 6% loss. At what percent of profit should the remaining part be sold so that overall profit would be 10% ?

Find the sum due, if the true discount on a sum due 2 yr hence at 14% rate of interest be ? 336.

Find the rate of interest, if S.I. for 5 years is Rs. 4000 and C.I. for 2 years is 1632.

How many numbers are there from 200 to 800 which are neither divisible by 5 nor by 7? 200 से 800 तक ऐसी कितनी संख्याएँहै जो ना तो 5 से ना ही 7 से विभाज्य है?

Arrange the following integers in descending order 17, 18, 15, 32, 81, -5, 87.

An article was bought fort ₹5600. Its price was marked up by 12%. Thereafter it was sold at a discount of 5% on the market price.What was the market price of the article?

A problemis giventothreestudentswhosechancesofsolvingit are1/2 , 1/3and 1/4respectively. Whatis theprobabilitythat theproblemwill be solved ?

If the area of a square is 400 m sq, what will be the sides and perimeter?

If 1/2 log x + 1/2 log y + log2 = log(x+y), then:

If xcostheta+ysintheta=4&xcostheta-ysintheta=0, then which one is correct?

A fruit vendor purchased 80 dozens of bananas at Rs. 10 per dozen. Out of this, 12 dozens got rotten and he sold them at Rs 6 per dozen. Remaining bananas were sold by him at Rs. 14 per dozen. What profit did the make in this transaction?

The value of 25^(-1//4log_(5)25) is :

A right circular cone of radius 4 cm and slant height 5 cm is carved out from a cylindrical piece of wood of same radiusand height 5 cm. The surface area of the remaining wood is :

A die is thrown twice and the sum of the numbers appearing is observed to be 9. What is the conditional probability that the number 4 has appeared atleast once ?

If tantheta+cottheta=2 then find the value of tan^(2)theta+cot^(2)theta.

Find the remainder when (19191919 …….. 8 times) is divided by 7.

In question 118, if m_(1) and m_(2) are the magnifications for two positions of the lens, then

A hollow cylinder made of wood has thickness 1 cm while its external radius is 3 cm. If the height of the cylinder is 8 cm, then find the volume, curved surface area and total surface area of the cylinder.

The traffic lights at three different road crossings change after 24 seconds, 36 seconds and 54 seconds, respectively. If they all change simultaneously at 10 : 15 : 00 AM, then at what time will they again change simultaneously ?

A bagcontains three types of coins1-rupee coins, 50 p-coins and 25 p-coinstotalling 175 coins. If the total value of the coins of each kind be thesame, the total amount in the bag is(a) Rs75 (b) Rs 126 (c) Rs 175 (d) Rs 300

When 200 is divided by a positive integer x, the remainder is 12. How many values of x are possible?

Let a, b, c be real, if ax^(2)+bx+c=0 has two real roots alpha, beta, where alt-1 and betagt1, then the value of 1+(c)/(a)+|(b)/(a)| is :