8677 + Interview Questions in Maths in Class 14 Page 170 InterviewSolution

8451.	By selling 32 oranges for a Rs. a man loss 40%. How many for a rupee did he sell to earn 20%.
Answer» ANSWER :16

Discussion

8452.	A square field is fenced by fixing the polls all around it is such a way that in each side of the field the farmer fixed 19 polls. The total number of polls required to fence the field is:
Answer» 76 75 72 80 Answer :C

Discussion

8453.	ABC is an equilateral triangle and PQRS is a squareinscribed in the triangle is such a way that P and Q lie on AB and R , S lie on BC and AC respectively . What is the value of RC: RB ?
Answer» `1:sqrt(2) ` `1:sqrt(3)` `sqrt(3):2` `1:2` Answer :C

Discussion

8454.	If k^2 - 25 is an odd integer then which one of the following values gives the even number?
Answer» a. `k^(2k - 1)` b. `(3k - 3)(2k - 2)` C. `(k + 5)(k-5 )` d. any TWO of these Answer :D

Discussion

8455.	If 2f(x) = f(2x), 3f(x) = f(3x), 4f(x) = f(4x)……. etc. then f(1) + f(2) + f(3) + ……..+ f(n) equals to where f(1) = 1 :
Answer» N(n+1) 0 `n(n+1)/2` n! SOLUTION :f(1) = 1 f(2) = 2 f(3) = 3 f(4) = 4 … … … f(n) = n `therefore f(1)+f(2)+f(3)+…+f(n) = n(n+1)/2`

Discussion

8456.	Find minimum value of 4cos^(2)theta+9sec^(2)theta
Answer» ANSWER :13

Discussion

8457.	A train approaches a tunnel AB, Inside the tunnel a goat located at a point i.e., 5/12of the distance AB measured form the entrance A. When the train whistles, the goat runs. If the goat moves to the entrance of the tunnel A. The train catches the goat exactly at the entrance. If the goat moves to the exit B, the train catches the goat exactly at the exit. Find the ratio of speed of train and goat.
Answer» ANSWER :`6:1`

Discussion

8458.	A milkman purchases the milk at Rs x per liter and sells it at Rs 2x per liter and still he mixes 2 liter water with every 6 liter of pure milk. What is the profit percentage?
Answer» `166%` `166.66%` `60%` `100%` ANSWER :B

Discussion

8459.	Dia and Urea are two chemical fertilizers. Dia is consists of N,P and K and Urea consists of only N and P,A mixture of Dia and Urea is prepared in which the ratio of N,P and K is 26%,68% and 6% respectively. The ratio of N,P and K in Dia is 20%,70% and 10% respectively. what is the ratio of N and P in the Urea?
Answer» `27% and 63%` `33% and 67%` `35% and 65%` `70% and 30%` Answer :C

Discussion

8460.	Find the area of an equilateraltriangle in whichlength of perpendicular on sides from a point D insidethe Deltaare 2 sqrt(3)+ 3 sqrt(3) and 5sqrt 3
Answer» Answer :`100 SQRT(3) CM ^(2)`

Discussion

8461.	In the previous problem (no. 8) what is the maximum possible no. of chocolates?
Answer» 52 53 55 60 Answer :B

Discussion

8462.	If sintheta+costheta=sqrt(2)sin(90^(@)-theta), then cottheta=?
Answer» `SQRT(2)-1` `sqrt(2)+1` `sqrt(2)` 1 Answer :B

Discussion

8463.	When (m/n) = 25(n/m),Then the value of m : n is :
Answer» 1/25 5 44317 2.5 Answer :B

Discussion

8464.	In the previous question ( number 19). Find the probability that none of the two will be able to solve the problem.
Answer» `13/15` `4/15` `2/15` `23/30` ANSWER :C

Discussion

8465.	Priyanka , Akshay and salman started out on a journey to watch the newly released movie "mujhse shaadi Karogi", Which was being shows at wave cine - multiplex. The multiplex was 120km away from their starting point of journey. Priyanka and slman went by car at the speed of 50km/h while akashay travelled by tonga horse cartat 10km/h. After a certain distance salman got off and travelled the rest distance by another Tonga at 10km/h While priyanka went back for Akashay and reached the destination at the same time that salman arrived. the number of hours requried for the trip was:
Answer» A)4 h B)5 h C)4.8 h D)can't be determined Answer :C

Discussion

8466.	Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual saleprice of the mobile and he paid the shopkeeper ₹ 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount that he has got?
Answer» `750` `375` `875` `525` ANSWER :C

Discussion

8467.	A river is flowing with a steady speed of 4km/h. One rows his boat down stream in the river and then returns by rowing upstream in the same river.When he returns to the starting point ,the total distance covered by him is 42km.If the return journey takes 2 h more than his outward journey, then the speed of his rowing in still water must be
Answer» 12 km/h 10 km/h 9 km/h 8 km/h Answer :B

Discussion

8468.	If x = 2^(1//3)+2^(-1//3), then the value of 2x^3 is :
Answer» 6X + 5 5x + 6 6x - 5 5x - 6 Answer :A

Discussion

8469.	If A lies in the third quardrant and 3 tan A -4 =0 , then 5 sin 2A+3 sin A + 4 cos A is equal to
Answer» 0 `(-24)/(5)` `(24)/(5)` `(48)/(5)` ANSWER :A

Discussion

8470.	Which of the following is /are correct? (i) a^(x + y) = ax + ay "" (ii) (a^x)^(y) = ya^(x) (iii) a(x cdot y) = ax codt ay"" (iv) (a^x)/(a^y) = a^(x - y)
Answer» (i) only (II) & (ii) only (IV) only none of these Answer :C

Discussion

8471.	Find the soluations of the following equations. sqrt(2h-1)-sqrt(h-4) = 2
Answer» SOLUTION :5 and 13

Discussion

8472.	If a, b, c are in H.P, then the value of(1/(b) + 1/(a) - 1/(c)) (1/(b) + 1/(c) -1/(a) ) is
Answer» `3/b^2-2/(AB)` `a^2+b^2+C^2` `2/(BC)-1/b^2` both (a) and (c) ANSWER :D

Discussion

8473.	Howmany evennumbersgreaterthan300can be formedby thedigits1,2,3,4,5 nodigit beingrepeated ?
Answer» 111 600 900 none of these Answer :A

Discussion

8474.	If (x-3) and (x+4) are both the only factors of f(x) then find f(x)
Answer» ANSWER :`X^(2)-x-12`

Discussion

8475.	A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was:
Answer» 1.25kg 1kg 1.5kg none of these Solution :Let the initial amount of honey in the jar was K, then 512 = `K(1-1/5)^4(because `20%` = (20)/(100) = 1/5)` or512 = `K(4/5)^4` `implies K = `(512xx625)/(256)` therefore K = 1250 Hnece, INITIALLY the honey in the jar= 1.25 kg.

Discussion

8476.	Soniya and priyanka started from Amethi and bellari for bellari and amethi which are 645 km a part They meet after 15 hours . After their meeting sonia increased her speed by 3 km/h and priyanka reduced her speed by 3 km/h they arrived at bellari and amethi respectively at the same time , what is their initial speed?
Answer» 24 km/h and 30 km/h 25 km/h and 18 km/h 18 km/h and 21 km/h 20 km/h and 23 km/h Answer :D

Discussion

8477.	Find the value of cos^(2)1^(@)+cos^(2)2^(@)+cos^(2)3^(@)+ -----+cos^(2)87^(@)+cos^(2)88^(@)+cos^(2)89^(@)+cos^(2)90^(@)
Answer» `44(1)/(2)` 44 `45(1)/(2)` N.O.T. Answer :A

Discussion

8478.	A rectangular field has its length and breadth in the ratio of 16 : 9. If its perimeter is 750 cm. What is its area?
Answer» `7500cm^2` `32400cm^2` `14400cm^2` `14000cm^2` ANSWER :B

Discussion

8479.	If tan^(2)theta+cot^(2)theta=14, then find sectheta.cosectheta=?
Answer» ANSWER :4

Discussion

8480.	If sin^(2)alpha+sin^(2)beta+cos^(2)gamma=3 then find tan((alpha+beta+gamma)/(4))+cot((alpha+beta+gamma)/(4)).
Answer» ANSWER :2

Discussion

8481.	A trader sells 20 kg of sugar at Rs 400. A customer asks 20% discount and he agreed to it but instead of 1 kg he gives 4% less sugar. What is the effective discount that the customer gets?
Answer» ANSWER :0.1666

Discussion

8482.	For a positiveintegern ,let a(n) = 1+ 1/2 + 1/3 +…+ 1/(2^(n)-1) : Then
Answer» Only (III) and (IV) Only (i) and (iv) EXCEPT (i) and (II) (i) (ii) and (iii) only Answer :B

Discussion

8483.	Three squares of a chessboard are chosen at random. the probability that two are of one colour and one of another is :
Answer» `67/992` `16/21` `31/32` NONE of these Answer :B

Discussion

8484.	What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divide by 9 ?
Answer» 123 603 723 243 Answer :D

Discussion

8485.	Udai travels half of his journey by train at the speed of 120 km/h and rest half by car at 80 km/h. What is the average speed ?
Answer» SOLUTION :Average speed=2(XY)/(x+y) where x and y are the SPEEDS. Average `speed=2xx120xx80/(120+80)`=96 km/h

Discussion

8486.	The smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, what is the area (in cm^(2) ) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus ?
Answer» `18 sqrt(3)` `27 sqrt(3)` `32 sqrt(3)` `36 sqrt(3)` ANSWER :B

Discussion

8487.	What is the maximum possible value of xy, where \|x+5\|-1=0 and y=9-\|x-4\|
Answer» 401 124 104 none of these Answer :C

Discussion

8488.	Find the sum of the series : 13^2 + 2 5^2 + 3*7^2 + … to 20 terms :
Answer» a)12896 b)187898 c)98970 d)188090 Answer :D

Discussion

8489.	The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be ₹ 400 which is greater than the corresponding cost price by 33.33%, what, is the increased selling price?
Answer» 240 360 420 600 Answer :C

Discussion

8490.	How many natural numbers divisible by 7 are there between 3 and 200?
Answer» 27 28 29 36 Answer :B

Discussion

8491.	City X and city Y are connected to a straight road A and B start moving simultaneously toward each other after travelling some distance B takes a 60^@ turn to his left two hours later after B turns A takes a 60^@ turn to his right A travels 60 km after running before he meets B.A and B meet 10 hours after they start their journey A and B together travel 200 km before turning and they arrive at the meeting point simultaneously. What is B's speed?
Answer» (A) 10km/h (B) 12.5km/h (C) 12km/h (D) 15km/h Answer :C

Discussion

8492.	If each side of a regular pentagon is 1 cm, find the length of its diagonal.
Answer» A)`ROOT(5)(2-3)/2` B)`-1+sqrt5/2` C)`(1+sqrt5)/2` D)DATA insufficient Answer :C

Discussion

8493.	A and B are standing at a distance of 20 km from each other on a straight East-West road. A and B start walking simultaneously eastwards and westwards respectively and both cover a distance of 5 km. Then A turns to his left and walks 10 km. B turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5 km at the same speed. What will be the distance between them?
Answer» 7(1//8)h 9(1//8)h 6(1//8)h 8(1//8)h Answer :D

Discussion

8494.	A walks at a uniform rate of 5 km an hour and 6 hours after his start, B bicycles after him at the uniform rate of 10 km an hours. How far from the starting point will B catch A?
Answer» 40km 50km 60km 70km Answer :A

Discussion

8495.	City X and city Y are connected to a straight road A and B start moving simultaneously toward each otherafter travelling some distance B takes a '60^@ turn to his left two hours later after B turns A takes a 60^@ turn to his right A travels 60 km after runing before he meets B.A and B meet 10 hours after they start their journey A and B together travel 200 km before turning and they arrive at the meeting point simultaneously.how many hours after turning does A meet B?
Answer» (a) W + 2 (B) w + 3 (c) w + 4 (d) w + 6 Answer :B

Discussion

8496.	A takes 16 days to finish a job alone, while B takes 8 days to finish the same-job. What is the ratio of their efficiency and who is less efficient.
Answer» ANSWER :`1:2`

Discussion

8497.	A shopkeeper marks his goods at 20% more and offers discount of 10%. And weights 100gm less. Find his over all profit %.
Answer» ANSWER :0.2

Discussion

8498.	5 kg of superior quality of sugar is mixed with 25kg of interior quality sugar. The price of superior quality and interior quality is rs 18 and rs 12 respectively. The average price per kg of the mixture is :
Answer» 13 15 18 21 Solution :

Discussion

8499.	The ratio of cost price and selling price of an article is 25:26.Find the gain percentage.
Answer» a.6 B.5 c.4 d.3 Answer :B

Discussion

8500.	A cycle costs Rs. 1500. If Rs 350 was paid as case payment and Rest amount was to be paid in 3 monthly installment of Rs. 400 . Find the Rate of Interest.
Answer» ANSWER :`26(2)/(3)%`

Discussion

Explore topic-wise InterviewSolutions in .

By selling 32 oranges for a Rs. a man loss 40%. How many for a rupee did he sell to earn 20%.

A square field is fenced by fixing the polls all around it is such a way that in each side of the field the farmer fixed 19 polls. The total number of polls required to fence the field is:

ABC is an equilateral triangle and PQRS is a squareinscribed in the triangle is such a way that P and Q lie on AB and R , S lie on BC and AC respectively . What is the value of RC: RB ?

If k^2 - 25 is an odd integer then which one of the following values gives the even number?

If 2f(x) = f(2x), 3f(x) = f(3x), 4f(x) = f(4x)……. etc. then f(1) + f(2) + f(3) + ……..+ f(n) equals to where f(1) = 1 :

Find minimum value of 4cos^(2)theta+9sec^(2)theta

A milkman purchases the milk at Rs x per liter and sells it at Rs 2x per liter and still he mixes 2 liter water with every 6 liter of pure milk. What is the profit percentage?

Find the area of an equilateraltriangle in whichlength of perpendicular on sides from a point D insidethe Deltaare 2 sqrt(3)+ 3 sqrt(3) and 5sqrt 3

In the previous problem (no. 8) what is the maximum possible no. of chocolates?

If sintheta+costheta=sqrt(2)sin(90^(@)-theta), then cottheta=?

When (m/n) = 25(n/m),Then the value of m : n is :

In the previous question ( number 19). Find the probability that none of the two will be able to solve the problem.

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

If A lies in the third quardrant and 3 tan A -4 =0 , then 5 sin 2A+3 sin A + 4 cos A is equal to

Which of the following is /are correct? (i) a^(x + y) = ax + ay "" (ii) (a^x)^(y) = ya^(x) (iii) a(x cdot y) = ax codt ay"" (iv) (a^x)/(a^y) = a^(x - y)

Find the soluations of the following equations. sqrt(2h-1)-sqrt(h-4) = 2

If a, b, c are in H.P, then the value of(1/(b) + 1/(a) - 1/(c)) (1/(b) + 1/(c) -1/(a) ) is

Howmany evennumbersgreaterthan300can be formedby thedigits1,2,3,4,5 nodigit beingrepeated ?

If (x-3) and (x+4) are both the only factors of f(x) then find f(x)

Find the value of cos^(2)1^(@)+cos^(2)2^(@)+cos^(2)3^(@)+ -----+cos^(2)87^(@)+cos^(2)88^(@)+cos^(2)89^(@)+cos^(2)90^(@)

A rectangular field has its length and breadth in the ratio of 16 : 9. If its perimeter is 750 cm. What is its area?

If tan^(2)theta+cot^(2)theta=14, then find sectheta.cosectheta=?

If sin^(2)alpha+sin^(2)beta+cos^(2)gamma=3 then find tan((alpha+beta+gamma)/(4))+cot((alpha+beta+gamma)/(4)).

A trader sells 20 kg of sugar at Rs 400. A customer asks 20% discount and he agreed to it but instead of 1 kg he gives 4% less sugar. What is the effective discount that the customer gets?

For a positiveintegern ,let a(n) = 1+ 1/2 + 1/3 +…+ 1/(2^(n)-1) : Then

Three squares of a chessboard are chosen at random. the probability that two are of one colour and one of another is :

What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divide by 9 ?

Udai travels half of his journey by train at the speed of 120 km/h and rest half by car at 80 km/h. What is the average speed ?

The smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, what is the area (in cm^(2) ) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus ?

What is the maximum possible value of xy, where |x+5|-1=0 and y=9-|x-4|

Find the sum of the series : 1*3^2 + 2* 5^2 + 3*7^2 + … to 20 terms :

The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be ₹ 400 which is greater than the corresponding cost price by 33.33%, what, is the increased selling price?

How many natural numbers divisible by 7 are there between 3 and 200?

If each side of a regular pentagon is 1 cm, find the length of its diagonal.

A walks at a uniform rate of 5 km an hour and 6 hours after his start, B bicycles after him at the uniform rate of 10 km an hours. How far from the starting point will B catch A?

A takes 16 days to finish a job alone, while B takes 8 days to finish the same-job. What is the ratio of their efficiency and who is less efficient.

A shopkeeper marks his goods at 20% more and offers discount of 10%. And weights 100gm less. Find his over all profit %.

5 kg of superior quality of sugar is mixed with 25kg of interior quality sugar. The price of superior quality and interior quality is rs 18 and rs 12 respectively. The average price per kg of the mixture is :

The ratio of cost price and selling price of an article is 25:26.Find the gain percentage.

A cycle costs Rs. 1500. If Rs 350 was paid as case payment and Rest amount was to be paid in 3 monthly installment of Rs. 400 . Find the Rate of Interest.

Find the sum of the series : 13^2 + 2 5^2 + 3*7^2 + … to 20 terms :