8677 + Interview Questions in Maths in Class 14 Page 137 InterviewSolution

6801.	Find the values of the following expression. sin^2Acot^2A+cos^2Atan^2A=?
Answer» -1 0 3 1 Answer :D

Discussion

6802.	R enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, P increases his share 20% and Q by 10%. If the total profit at the end of one year is Rs 1,90,500, what amount will 'R' receive at the end of year as share in profit ?
Answer» A) RS. 90500 B) Rs. 87500 C) Rs. 88900 D) Rs. 90000 Answer :Rs. 464.10

Discussion

6803.	Three students A, B and C hired a computer for a month. A runs 27 floppy discs for 19 days, B runs 21 for 17 days and C runs 24 for 23 days. If at the end of the month, the rent amounts to Rs23700, how much ought to be paid by A?
Answer» RS 8550 Rs 5950 Rs 9200 Rs 6750 ANSWER :A

Discussion

6804.	Answer the questions based on the following information. Hirawala is a uber rich guy who lives in a swanky place, called Hiranandini, in Mumbai. He has 15 diamond rings and 5 daughters. If the rings are identical, find the number of ways of distributing these rings among his 5 daughters such that a daughter may get zero or all the rings.
Answer» (A) 38 (B) 76 (C) 3876 (D) 34 Answer :C

Discussion

6805.	A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1 1/2 times of the previous in how many days will he cover 840 km ?
Answer» A) 39 days B) 37 days C) 35 days D) 33 days Answer :A

Discussion

6806.	The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article.
Answer» 40 60 80 100 Answer :B

Discussion

6807.	P, Q and R are the three towns on a river which flows uniformly, Q is equidistant from P and R. Sandeep can row from to P to Q and back in 10 hours and Sandeep can row from P to R in 4 hours compare the speed of his boat in still water with that of the river?
Answer» 4 : 3 5 : 3 6 : 5 7 : 3 Solution :N/A

Discussion

6808.	By selling a property for Rs 45000 a person incurs a loss of 10%. Find the selling price to gain the profit of 15 %?
Answer» 58000 57500 60000 55000 Answer :B

Discussion

6809.	A man goes to his office at 2/3 of the speed at which he returns from the office. If his average speed is during the whole journey is 24 km/hr, at what speed the man goes to office?
Answer» 20 km/hr 21 km/hr 22 km/hr 23 km/hr Answer :A

Discussion

6810.	Answer the questions based on the following information. Hirawala is a uber rich guy who lives in a swanky place, called Hiranandini, in Mumbai. He has 15 diamond rings and 5 daughters. If the rings are identical, find the number of ways of distributing these rings among his 5 daughters such that elder the daughter fewer the rings she gets. Thus the youngest daughter gets just 5 rings and the eldest daughter gets only 1 ring. No any two daughters are of the same age.
Answer» 1 5 15 3 Answer :A

Discussion

6811.	A man covers a distance of 110 km between two cities in 10 hours. He travelled partly on foot at 9 km/hr and partly on a bicycle at 15 km/hr. Find the distance travelled on foot.
Answer» 60 km 92 km 94 km 96 km Answer :C

Discussion

6812.	A farmer travelled from his village to city to buy seeds. He went by bicycle at a speed of 20 km/hr and came back at a speed of 5 km/hr. If the farmer took 4 hours and 45 minutes to complete his journey, find the distance between village and city?
Answer» 15 km 19 km 23 km 25 km Answer :D

Discussion

6813.	The LCM of two numbers is 8919, and their sum is 1000. The two numbers are:
Answer» 993 and 7 989 and 11 991 and 9 987 and 13 Answer :A

Discussion

6814.	If the LCM of two numbers is 70 and their HCF is 2, find the numbers.
Answer» 2, 35 6, 70 4, 70 14, 10 Answer :D

Discussion

6815.	Find the compound interest on Rs. 1000 at 40% per annum compounded quarterly for 1 year.
Answer» (a)RS 400 (B)rs 464 (C)rs 464.1 (d)rs 500 Answer :Rs. 464.10

Discussion

6816.	On selling 80 articles for Rs 140 a person incurred a loss of 30%. How many articles he should sell for Rs 104 to earn profit of 30%.
Answer» ANSWER :32

Discussion

6817.	At our training Institute the number of boys is same as that of the girls, Last week, except 2/3rd of the girls all the students, went to picnic,where they bought some samosas but later on they found exactly one dozen samosas were not fresh so those 12 samosas had been throuwn away. After it the samosas were divided equally between boys and girls. Further when boys dealtout the samosas equally among themselves 39 samosas left undistributed, but when the girls dealtout the same number of samosas equally among themselves 12 samosas were still left undistributed. The number of students at our training institute is:
Answer» 1.60 2.156 3.162 4.can't be determined Answer :C

Discussion

6818.	In the previous government ,party Q was in the opposition. Now increasing the seats by 33.33% Q is the ruling party and thus party Q enjoys twice the majority than that of party P in the previous government. If there were only two parties P and Q andthe fix no.of seats be 500 in the parliament of Hum-Tum, then the no, of seats of the Q in the new government is:
Answer» A)225 B)200 C)275 D)300 Answer :D

Discussion

6819.	A heart is broken into no. of feelings 1 : 2 : 3 : 4 . The cost of heart is directly proportional to the square of no. of feelings. There is Rs. 700 loss on broken heart. Find the initial cost of the heart?
Answer» 10000 5000 1000 900 Answer :C

Discussion

6820.	If a regular square pyramid has a base of side 4 cm and height of 30 cm, then its volume is :
Answer» 120 cc 240 cc 160 cc 900 cc Answer :C

Discussion

6821.	Akbar and Birbal who purchased the shares for the costoif their basic salaries which are in the ratio of 5:6, later on company gave them 40 additional shares to each, due to which the ratio changed to 7:8. If the worth of each share is Rs. 75, what is the basic salary of the person who got less shares?
Answer» RS. 10500 Rs. 7500 Rs. 8800 Rs. 9000 Answer :B

Discussion

6822.	An article is sold at 20% profit. If its cost is increased by Rs 50 and at the same time if its selling price is also increased by Rs 30, the percentage of profit decreases by 33(1)/(3)% Find the cost price
Answer» ANSWER :RS. 850

Discussion

6823.	If sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(5)), where A and B are positive acute angles, then A+B=?
Answer» `PI` `(pi)/(2)` `(pi)/(4)` `(pi)/(3)` ANSWER :C

Discussion

6824.	How many terms are common in two arithmetic progression 1,4,7,10,… upto 63 terms and 3,7,11,15 ,… upto 47 terms :
Answer» 12 16 15 none Answer :B

Discussion

6825.	A retailer cheats both to his whole-seller and his customer by 10% by his faulty balance i.e., he actually weighs 10% more while purchasing from wholesaler and weighs 10% less while selling to his customer. What is his net profit percentage, when he sells at CP?
Answer» `22(2)/11%` `22(2)/9%` `20%` `21%` Answer :B

Discussion

6826.	A sum of money at a certain rate per annum of of simple interest doubles in the 5 years and at a different rate becomes three times in 12 years. The lower rate of interest per annum is(कोई धनराशि साधरण बियाज की किसी वार्षिक दर से 5 वर्षो में दुगनी हो जाती है तथा किसी अन्य दर से 12 वर्ष में तिगुनी हो जाती है कम बियाज की वार्षिक दर क्या है )
Answer» ANSWER :`16(2)/(3)%`

Discussion

6827.	4(5)/(6) + 7(1)/(2)-5(8)/(11)=?
Answer» `2(10)/(33)` `6(20)/(33)` `2(20)/(33)` None of these Solution :`4(5)/(6)+7(1)/(2)-5(8)/(11)=(29)/(6)+(15)/(2)-(63)/(11)` `=(319+495-558)/(66)=(256)/(66)=(128)/(33)=3(29)/(33)`

Discussion

6828.	A straight line intersects the x-axis at A and the y-axis at B. AB is divided internally at C(8,10) in the ratio 5:4, Find the equation of AB:
Answer» X + y = 18 x + y + 2 = 0 x + y - 2 = 0 none of these Answer :A

Discussion

6829.	At 7 : 00 am. I started travelling at the speed of 36 kmph. After I had travelled some distance, my car went out of order and I had to stop. After resting for 35 minutes, I returned home on foot at a speed of 14 kmph and reached home at 1 pm. Find the distance from my house at which my car broke down.
Answer» ANSWER :54.6 KM

Discussion

6830.	f(x)=(1)/(x),g(x)=(x+(1)/(x)), then which of the following is true?
Answer» F(G(X)).g(f(x))=1 `f(g(x))/g(f(x)) = 1` f(g(x)) + g(f(x)) = 1 none of these Answer :A

Discussion

6831.	A beats B by 100 m in a race of 1200 m and B baets C by 200 m in a race of 1600 m Approximately by how many metres can A beat C in a race of 9600 m?
Answer» 1600 m 1800 m 1900 m 2400 m Answer :C

Discussion

6832.	ABCDEF is a regular hexagonof side 6 cm. find the area of square BCEF
Answer» ANSWER :`= 36 SQRT(3)`

Discussion

6833.	if log_(10)x = 1.9675, then the value of log_(10)(100x) is:
Answer» 196.75 3.9675 2.9675 none of these Answer :B

Discussion

6834.	A can make (1)/(3)part of a wall in 9 days and B can make (2)/(3)part of a wall in 9 days. In how many days will A and B complete the total work ?
Answer» ANSWER :9 DAYS

Discussion

6835.	A certain sum is invested for T years. It amounts to ₹ 400 at 10 % per annum. But when invested at 4% per annum. it amounts to ₹200. Find the time(T)?
Answer» 41 YEARS 39 years 50 years None of these Answer :C

Discussion

6836.	A number is divided strictly into two unequal parts such that the difference of the squares of the two parts equals 50 times the difference between the two parts. The number is :
Answer» 100 250 50 can't be determined Answer :C

Discussion

6837.	Find the remainder when (5)^(250) is divided by 250.
Answer» 1 125 150 100 Answer :B

Discussion

6838.	cos""(pi)/(15).cos""(2pi)/(15).cos""(4pi)/(15).cos""(8pi)/(15) is equal to
Answer» (a)`(1)/(16)` (B)`-(1)/(16)` (C)1 (d)0 Answer :A

Discussion

6839.	Find the banker's discount at a bill of12750 due four months hence when rate of interest is 6% per annum.
Answer» 1) 250 2) 120 3) 255 4) 300 Answer :C

Discussion

6840.	If average of 20 observation x_(1), x_(2), ……x_(20) is y .then the average of x_(1) - 101, x_(2) - 101, x_(3) - 101, ……. X_(20) - 101 is :
Answer» y - 20 y - 101 20Y 101y Answer :A

Discussion

6841.	A gardner plants his garden with 5550 trees and arranged them so that there is one plant more per row as there are rows then numbers of trees in a row is :
Answer» 56 74 76 75 Answer :D

Discussion

6842.	The ratio of two numbers is 3 : 4 and their LCM is 120. The sum of numbers is:
Answer» 70 35 140 105 Answer :A

Discussion

6843.	The prime cost of an article is three times the value of the raw material used. The cost of raw materials increasef in the ratio of 5 : 12 and manufacturing expenses in the ratio 4 : 5 . The article, which originally cost Rs 6, will now cost.
Answer» ANSWER :9.8

Discussion

6844.	A question paper consists of two sections having respectively 3 and 5 questions. The following note is given on the paper. "It is not necessary to attempt all the questions". One question from each section is compulsory. In how many ways, a candidate can select the question?
Answer» 38 217 256 320 Answer :B

Discussion

6845.	A can do a work in 20 days, while B can do the same work in 25 days. They started the work jointly. Few days later C also joined them and thus all of them completed the whole work in 10 days. All of them were paid total of rs 700. What is the share of C? A किसी कार्य को 20 दिनों में कर सकता है जबकि B इसी कार्य को 25 दिनों में कर सकता है \| उन्होंने एक साथ इस कार्य को शुरू किया \| कुछ दिनों बाद C उनके साथ शामिल हो गया और इस प्रकार उन सभी ने इस पूरे कार्य को 10 दिनों में पूरा किया \| उन सभी को कुल 700 रुपये का भुगतान किया गया \|C का हिस्सा क्या है ?
Answer» ₹ 130 ₹ 185 ₹ 70 can’t be determined Answer :C

Discussion

6846.	A can do a piece of work in 80 days. A works for 10 days, then B complete the remaining work in 42 days. In how many days will (A + B) do this work together
Answer» ANSWER :30 DAYS

Discussion

6847.	(1-sinAcosA)/(cosA(secA-cosecA)).(sin^(2)A-cos^(2)A)/(sin^(3)A+cos^(3)A)=?
Answer» sinA cosA tanA cosecA Answer :A

Discussion

6848.	A pedestrian and a cyclist left A for B at the same time. Having reached B, the cyclist turned back and met the pedestrian an hour after the start. After their meeting, the pedestrian continued his trip to B and the cyclist turned back and also headed for B. Having reached B the cyclist turned back again and met the pedestrian 30 mins after their first meeting. Determine what time it takes the pedestrian to cover the distance between A and B.
Answer» ANSWER :2 HRS

Discussion

6849.	(392)^n-(392)^(n-1) is not divisible by :
Answer» 56 23 13 17 Answer :C

Discussion

6850.	O is the incentre of Delta ABC and angle A=30^(@), then find angle BOC.
Answer» ANSWER :`105^(@)`

Discussion

Explore topic-wise InterviewSolutions in .

Find the values of the following expression. sin^2Acot^2A+cos^2Atan^2A=?

R enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, P increases his share 20% and Q by 10%. If the total profit at the end of one year is Rs 1,90,500, what amount will 'R' receive at the end of year as share in profit ?

Three students A, B and C hired a computer for a month. A runs 27 floppy discs for 19 days, B runs 21 for 17 days and C runs 24 for 23 days. If at the end of the month, the rent amounts to Rs23700, how much ought to be paid by A?

A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1 1/2 times of the previous in how many days will he cover 840 km ?

The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article.

P, Q and R are the three towns on a river which flows uniformly, Q is equidistant from P and R. Sandeep can row from to P to Q and back in 10 hours and Sandeep can row from P to R in 4 hours compare the speed of his boat in still water with that of the river?

By selling a property for Rs 45000 a person incurs a loss of 10%. Find the selling price to gain the profit of 15 %?

A man goes to his office at 2/3 of the speed at which he returns from the office. If his average speed is during the whole journey is 24 km/hr, at what speed the man goes to office?

A man covers a distance of 110 km between two cities in 10 hours. He travelled partly on foot at 9 km/hr and partly on a bicycle at 15 km/hr. Find the distance travelled on foot.

A farmer travelled from his village to city to buy seeds. He went by bicycle at a speed of 20 km/hr and came back at a speed of 5 km/hr. If the farmer took 4 hours and 45 minutes to complete his journey, find the distance between village and city?

The LCM of two numbers is 8919, and their sum is 1000. The two numbers are:

If the LCM of two numbers is 70 and their HCF is 2, find the numbers.

Find the compound interest on Rs. 1000 at 40% per annum compounded quarterly for 1 year.

On selling 80 articles for Rs 140 a person incurred a loss of 30%. How many articles he should sell for Rs 104 to earn profit of 30%.

A heart is broken into no. of feelings 1 : 2 : 3 : 4 . The cost of heart is directly proportional to the square of no. of feelings. There is Rs. 700 loss on broken heart. Find the initial cost of the heart?

If a regular square pyramid has a base of side 4 cm and height of 30 cm, then its volume is :

An article is sold at 20% profit. If its cost is increased by Rs 50 and at the same time if its selling price is also increased by Rs 30, the percentage of profit decreases by 33(1)/(3)% Find the cost price

If sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(5)), where A and B are positive acute angles, then A+B=?

How many terms are common in two arithmetic progression 1,4,7,10,… upto 63 terms and 3,7,11,15 ,… upto 47 terms :

A retailer cheats both to his whole-seller and his customer by 10% by his faulty balance i.e., he actually weighs 10% more while purchasing from wholesaler and weighs 10% less while selling to his customer. What is his net profit percentage, when he sells at CP?

4(5)/(6) + 7(1)/(2)-5(8)/(11)=?

A straight line intersects the x-axis at A and the y-axis at B. AB is divided internally at C(8,10) in the ratio 5:4, Find the equation of AB:

f(x)=(1)/(x),g(x)=(x+(1)/(x)), then which of the following is true?

A beats B by 100 m in a race of 1200 m and B baets C by 200 m in a race of 1600 m Approximately by how many metres can A beat C in a race of 9600 m?

ABCDEF is a regular hexagonof side 6 cm. find the area of square BCEF

if log_(10)x = 1.9675, then the value of log_(10)(100x) is:

A can make (1)/(3)part of a wall in 9 days and B can make (2)/(3)part of a wall in 9 days. In how many days will A and B complete the total work ?

A certain sum is invested for T years. It amounts to ₹ 400 at 10 % per annum. But when invested at 4% per annum. it amounts to ₹200. Find the time(T)?

A number is divided strictly into two unequal parts such that the difference of the squares of the two parts equals 50 times the difference between the two parts. The number is :

Find the remainder when (5)^(250) is divided by 250.

cos""(pi)/(15).cos""(2pi)/(15).cos""(4pi)/(15).cos""(8pi)/(15) is equal to

Find the banker's discount at a bill of12750 due four months hence when rate of interest is 6% per annum.

If average of 20 observation x_(1), x_(2), ……x_(20) is y .then the average of x_(1) - 101, x_(2) - 101, x_(3) - 101, ……. X_(20) - 101 is :

A gardner plants his garden with 5550 trees and arranged them so that there is one plant more per row as there are rows then numbers of trees in a row is :

The ratio of two numbers is 3 : 4 and their LCM is 120. The sum of numbers is:

The prime cost of an article is three times the value of the raw material used. The cost of raw materials increasef in the ratio of 5 : 12 and manufacturing expenses in the ratio 4 : 5 . The article, which originally cost Rs 6, will now cost.

A question paper consists of two sections having respectively 3 and 5 questions. The following note is given on the paper. "It is not necessary to attempt all the questions". One question from each section is compulsory. In how many ways, a candidate can select the question?

A can do a piece of work in 80 days. A works for 10 days, then B complete the remaining work in 42 days. In how many days will (A + B) do this work together

(1-sinAcosA)/(cosA(secA-cosecA)).(sin^(2)A-cos^(2)A)/(sin^(3)A+cos^(3)A)=?

(392)^n-(392)^(n-1) is not divisible by :

O is the incentre of Delta ABC and angle A=30^(@), then find angle BOC.