8677 + Interview Questions in Maths in Class 14 Page 51 InterviewSolution

2501.	Find the value of 2(sintheta^(6)+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)
Answer» 1 5 9 `-1` ANSWER :D

Discussion

2502.	If x^(2)+ y^(2) + z^(2) + 12x + 4y + 5=0 find x^(12) + y+ z^(30)= ?
Answer» ANSWER :`-1`

Discussion

2503.	If (n-5) is divisible by 17 for every ninI^+ then the greatest integer which will necessarily divide (n+12)(n+29) is :
Answer» 578 289 such a NUMBER does not EXIST NONE of these ANSWER :D

Discussion

2504.	The ratio of length to width of a rectangular sheet of paper is 5:3. If the width of the sheet is 18 cm, find its length.
Answer» Solution :Let the length of sheet of paper be x cm. Then the ratio of length ofwidth = x : 18 Thus x : 18 = 5 : 3 `implies x XX 3 = 18 xx 5 implies x = 30` Hence the length of paper = 30 cm

Discussion

2505.	Convert (765)_16 to decimal.
Answer» SOLUTION :

Discussion

2506.	M,N,O and P divided ₹44352 among themselves.M took (3)/(8)th of the money, N took (1)/(6)th of the remaining amount and rest was divided among O and P is the ratio of 3:4 respectively. How much did O get as his share ?
Answer» `₹ 9600` `₹ 10600` `₹ 9600` `₹9900` Solution :M's share `=44352xx(3)/(2)=16632` Remaining after M's share `=27720` N's share `=27720xx(1)/(6)=4620` Reamaining after M&N's share `=23100` `(O)/(P) =(3)/(4)rArr O's " share " =23100xx(3)/(7)=9900`

Discussion

2507.	A train from A leaves at 7 am at the speed of 25 km/ h to reach B and a train from B leaves for A at 12 pm at the speed of 35 km/h. Find the time at which they will meet.
Answer» ANSWER :` 12:30 am `

Discussion

2508.	If 8sectheta+6cosectheta=20, then cottheta=?
Answer» `(3)/(4)` `(4)/(3)` NONE of these cant determine ANSWER :B

Discussion

2509.	What is the maximum number of electrons that can be placed in each shell?
Answer» 5 4 8 6 Answer :A

Discussion

2510.	The ratio of efficiencies of A , B & C is 14:9:7 . A, B and C received total ₹ 27,000 for the whole work.as What is the share of C, if the. money is distributed. in the ratio of amount of work done, individually?
Answer» 2700 7200 14400 6300 Answer :B

Discussion

2511.	An article is sold at a discount of 20% and an additional discount of 30% is allowed on cash payment. If Namrata purchased the article by paying Rs 2240 in cash, the marked price of the article was.
Answer» ANSWER :RS. 4000

Discussion

2512.	Find max^(m)&min^(m) value of -11sin^(2)alpha-3cos^(2)alpha.
Answer» ANSWER :`-11`

Discussion

2513.	If the average of 5 consecutive number starting with m is n. Findthe average of 6 consecutivenumber starting with m + 2
Answer» ANSWER :`((2N + 5)/(2))`

Discussion

2514.	A survey of film watching habits of people living in five cities P, Q, R, S and T is summarised below in a table. The column I in five table gives percentage of film-watchers in each city who see only one film a week. The column II gives the total number of film-watchers who see two or more films per week. The total number of all film-watchers in the five cities who see only one film in a week is
Answer» 3100 29500 28600 28300 Answer :A

Discussion

2515.	sin^(2)Acos^(2)B-cos^(2)A sin^(2)B simplifies to :
Answer» `sin^2A+sin^2B` `cos^2A+cos^2B` `sin^2A-sin^2B` `sin^2A+cos^2B` ANSWER :C

Discussion

2516.	If the roots of a quadratic equation are (4, 10), then what is the distance between Z-axis and the axis of symmetry of the pertinent .graph?
Answer» A)7 units B)6 unit C)`5//2` units D)cannot be determined Answer :A

Discussion

2517.	A man covers a certain distance by his own car had he moved 6 km/h faster he would have taken 4 hours less if had moved 4 km/h slower he would have taken 4 hours more.The distance (in km) is:
Answer» 240 km 640 km 480 km none of these Answer :C

Discussion

2518.	A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) The value of D(0, 1, 2) is :
Answer» -1 1 0 none of these Answer :B

Discussion

2519.	The incomes of two persons A and B are in the ratio 3 : 4. If each saves Rs.100 per month, the ratio of their expenditures is Rs. 1 : 2. Find their incomes.
Answer» A) RS. 100 and Rs.150 B) Rs. 150 and Rs.200 C) Rs.200 and Rs.250 D) Rs.250 and Rs.300 Answer :B

Discussion

2520.	A retailer purchase 40 pens at the cost price of 36 pens from a wholesaler. If he sells all of them at a discount of 3%, then what is his profit percent?
Answer» 5 9 10 12 Answer :`7(7)/(9)%`

Discussion

2521.	The value of (4)/(1+tan^2 alpha) +(3)/(1+cot^2 alpha) + 3 sin^2 alpha is
Answer» 4 `-1` 2 3 Answer :A

Discussion

2522.	The ages of Mira, Tina and Sania are in the ratio of 6 : 4 : 7, respectively. If the sum of their ages is 34 years. what is sania's age ?
Answer» 12 20 14 can't be DETERMINED ANSWER :B

Discussion

2523.	Mewalal is selling fruits in Charbagh, Lucknow, which were imported from Kesharbagh and Dayalbagh only. He has 13 apples, 25 bananas , 17 cherries, 29 goose barries, 35 mangoes and 42 pine apples. When I wanted to purchase some fruits from his shop, he told bananas or total cherries etc. but anyhow he can't sell say 12 bananas or 10 apples) and he told me that he himself can import any type of fruits without any lot, say 20 mangoes from Kesharbagh and 15 mangoes from Dayabagh and so on if he wished . If all the fruits were bought by a single person and were distributed equally among maximum possible number of children and each child has must received more than one fruit, then minimum how many children had received different kind of fruits?
Answer» 2 3 4 can't be DETERMINED ANSWER :A

Discussion

2524.	Two numbers are in the ratio 7 : 9. If k be subtracted from each, they are in the ratio of 2 : 3. Find the difference of two numbers
Answer» 20 30 60 can't be DETERMINED ANSWER :D

Discussion

2525.	A fruit vendor buys 30 oranges for 187.50. At what price did he sell each orange to get a profit of12%
Answer» 7 7.50 8 can't be DETERMINED ANSWER :D

Discussion

2526.	A child while going to school increases his speed to 7/6th of his actual speed. He reaches his school 5 minutes early. Find his initialtime.
Answer» ANSWER :6 km/h

Discussion

2527.	Colonel, Major and General started a work together for Rs. 816. Colonel and Major did (8)/(17) of the total work, while Major and General together did (12)/(17)of the whole work. What is the amount of the least efficient person?
Answer» RS. 256 Rs. 144 Rs. 85 can't be determined. Answer :B

Discussion

2528.	A sales executive gets 20% bonus of the total sales value and 10% commission besides the bonus on the net profit after charging such commission. If the total sales value be Rs. 10 lakh per annum and the total profit of the company be Rs. 1.32 lakh, then his total earning per annum will be, given that he is not entitled to receive any fixed salary from the comapny :
Answer» 2.3 lakh 3.2 lakh 2.32 lakh 2.12 lakh Answer :D

Discussion

2529.	If onecap is pickedat random , whatis theprababailitythat itis eitherblueor yellow ?
Answer» <P>`(2)/(9)` `(1)/(4)` `(3)/(8)` `(6)/(11)` SOLUTION :TOTALNUMBER of caps = 12 `n(S) =""^(12)C_(1)=12` Outof(2 blue+ 1 yellow ) capsnumberofwaysto pick one cap n(E) `=""^(3)C_(1)=3` Required probability `P(E) =(n(E))/(n(S))=(3)/(12)=(1)/(4)`

Discussion

2530.	Metro leaves after every 10 minutes. A person starts running towards metro then he catches metro after 8 minutes. If speed of metro is 24 km/h then what is the speed of the person.
Answer» ANSWER :6 km/h

Discussion

2531.	A person calculates 25%loss at S.P. find his loss at C.P.
Answer» ANSWER :20% LOSS

Discussion

2532.	Find the average of 1^(3) + 2^(3) + 3^(3) + ……. 100^(3)
Answer» ANSWER :255025

Discussion

2533.	In the figure, side of each square is 1 cm. The area, in sq cm of the shaded part
Answer» 8 9 10 11 Answer :C

Discussion

2534.	If x=2tanalpha,y=2cotalpha, then 16((1)/(4+x^(2))+(1)/(4+y^(2)))=?
Answer» 1 2 4 8 Answer :C

Discussion

2535.	Which one of the following sets of surds is in correct sequence of ascending order of their values ?
Answer» `root(4)(10), root(3)(6), SQRT3` `sqrt3, root(4)(10), root(3)(6)` `sqrt(3),root(3)(6), root(4)(10)` `root(4)(10), sqrt3 , root(3)(6)` ANSWER :B

Discussion

2536.	How many words can be formed with the letters of the word PATALIPUTRA without changing the relative positions of vowels and consonants?
Answer» a. 2170 B. 7200 c. 3600 d. 1040 Answer :B

Discussion

2537.	A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted to form a solid cylinder of base diameter 8 cm. The height of the cylinder is approximately :
Answer» 4.5 cm 4.57 cm 4.67 cm 4.7 cm Answer :C

Discussion

2538.	A person bought some article at rate of 11 for Rs 10 and bought same number of articles at the rate of 9 for Rs 10. And sold all the stock at the rate of 1 for Rs 1. Find the profit or loss %.
Answer» ANSWER :1% LOSS

Discussion

2539.	Convert (8976)_(10) in base 9.
Answer» ANSWER :`(13273)_(9)`

Discussion

2540.	A train crosses a platfor min 30 stravelling with a speed of 60km/h. If the length of the train be200m, then the length of the platform is
Answer» 420m 500m 300m 250m Answer :C

Discussion

2541.	The values of a for which the equation 2x^(2) -2(2a+1) x+a(a+1) = 0 may have one root less them a and other root greater than a are given by
Answer» `-1lalt0` `0LTALT1` `age0` `alt-1oragt0` ANSWER :D

Discussion

2542.	The ratio of the length of the diagonal of rhombus is 2 : 5 . Then, the ratio of the area of the rhombus to the square of the shorter diagonal :
Answer» `5: 4` `5: 2` `2: 5` NONE of these Answer :A

Discussion

2543.	Find the value of k such that the equation x^(2)-(k+6)x+2(2k-1)=0 has sum of the roots equal to half of their product :
Answer» 3 4 7 10 Answer :C

Discussion

2544.	If a^2 + b^2 + c^2 + d^2 = 1, then the maximum value of 16abcd is :
Answer» `1` `2` `1/16` DATA insufficient. Answer :C

Discussion

2545.	If l,b,p be the length , breadth and perimeter of a rectangle and b,l,p are in GP ( in order ) , then l/b is :
Answer» ANSWER :`(L)/(b) = SQRT(3) + 1 `

Discussion

2546.	A rectangulartin sheet is 22 m long and 8 m broad. It is rolled along its length to form a cylinder by making the opposite edges just to touch each other . The volume of the cylinder ( in m^(3) ) is :
Answer» 385 204 `280pi` 308 Answer :D

Discussion

2547.	A can do a piece of work in 12 days and B can do same work in 18 days. Both A and B start the work and after some days A left and B complete the remaining work in 8 days. After how many days will A left work?
Answer» ANSWER :4 DAYS

Discussion

2548.	If x^(2) - 5y^(2) = 1232,how many pairs are possible for (x, y)
Answer» 2 3 1 0 Answer :d

Discussion

2549.	Vishal goes to a shop to buy a radio costing Rs. 2568. The rate of sales tax is 7%. He tells the shopkeeper to reduce the price of the radio to such an extent that he has to pay Rs. 2568, inculsive of sales tax. Find the reduction needed in the price of the radio.
Answer» ANSWER :RS. 168

Discussion

2550.	There are 3 distinct books on physics, 4 distinct books on chemistry and 5distinct books on Biology. In how many ways can these books be placed on a shelf if the books on the same subject are to be together?
Answer» 103680 17280 `12!/3!` 60 Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

Find the value of 2(sintheta^(6)+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)

If x^(2)+ y^(2) + z^(2) + 12x + 4y + 5=0 find x^(12) + y+ z^(30)= ?

If (n-5) is divisible by 17 for every ninI^+ then the greatest integer which will necessarily divide (n+12)(n+29) is :

The ratio of length to width of a rectangular sheet of paper is 5:3. If the width of the sheet is 18 cm, find its length.

Convert (765)_16 to decimal.

M,N,O and P divided ₹44352 among themselves.M took (3)/(8)th of the money, N took (1)/(6)th of the remaining amount and rest was divided among O and P is the ratio of 3:4 respectively. How much did O get as his share ?

A train from A leaves at 7 am at the speed of 25 km/ h to reach B and a train from B leaves for A at 12 pm at the speed of 35 km/h. Find the time at which they will meet.

If 8sectheta+6cosectheta=20, then cottheta=?

What is the maximum number of electrons that can be placed in each shell?

The ratio of efficiencies of A , B & C is 14:9:7 . A, B and C received total ₹ 27,000 for the whole work.as What is the share of C, if the. money is distributed. in the ratio of amount of work done, individually?

An article is sold at a discount of 20% and an additional discount of 30% is allowed on cash payment. If Namrata purchased the article by paying Rs 2240 in cash, the marked price of the article was.

Find max^(m)&min^(m) value of -11sin^(2)alpha-3cos^(2)alpha.

If the average of 5 consecutive number starting with m is n. Findthe average of 6 consecutivenumber starting with m + 2

sin^(2)Acos^(2)B-cos^(2)A sin^(2)B simplifies to :

If the roots of a quadratic equation are (4, 10), then what is the distance between Z-axis and the axis of symmetry of the pertinent .graph?

A man covers a certain distance by his own car had he moved 6 km/h faster he would have taken 4 hours less if had moved 4 km/h slower he would have taken 4 hours more.The distance (in km) is:

A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) The value of D(0, 1, 2) is :

The incomes of two persons A and B are in the ratio 3 : 4. If each saves Rs.100 per month, the ratio of their expenditures is Rs. 1 : 2. Find their incomes.

A retailer purchase 40 pens at the cost price of 36 pens from a wholesaler. If he sells all of them at a discount of 3%, then what is his profit percent?

The value of (4)/(1+tan^2 alpha) +(3)/(1+cot^2 alpha) + 3 sin^2 alpha is

The ages of Mira, Tina and Sania are in the ratio of 6 : 4 : 7, respectively. If the sum of their ages is 34 years. what is sania's age ?

Two numbers are in the ratio 7 : 9. If k be subtracted from each, they are in the ratio of 2 : 3. Find the difference of two numbers

A fruit vendor buys 30 oranges for 187.50. At what price did he sell each orange to get a profit of12%

A child while going to school increases his speed to 7/6th of his actual speed. He reaches his school 5 minutes early. Find his initialtime.

Colonel, Major and General started a work together for Rs. 816. Colonel and Major did (8)/(17) of the total work, while Major and General together did (12)/(17)of the whole work. What is the amount of the least efficient person?

If onecap is pickedat random , whatis theprababailitythat itis eitherblueor yellow ?

Metro leaves after every 10 minutes. A person starts running towards metro then he catches metro after 8 minutes. If speed of metro is 24 km/h then what is the speed of the person.

A person calculates 25%loss at S.P. find his loss at C.P.

Find the average of 1^(3) + 2^(3) + 3^(3) + ……. 100^(3)

In the figure, side of each square is 1 cm. The area, in sq cm of the shaded part

If x=2tanalpha,y=2cotalpha, then 16((1)/(4+x^(2))+(1)/(4+y^(2)))=?

Which one of the following sets of surds is in correct sequence of ascending order of their values ?

How many words can be formed with the letters of the word PATALIPUTRA without changing the relative positions of vowels and consonants?

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted to form a solid cylinder of base diameter 8 cm. The height of the cylinder is approximately :

A person bought some article at rate of 11 for Rs 10 and bought same number of articles at the rate of 9 for Rs 10. And sold all the stock at the rate of 1 for Rs 1. Find the profit or loss %.

Convert (8976)_(10) in base 9.

A train crosses a platfor min 30 stravelling with a speed of 60km/h. If the length of the train be200m, then the length of the platform is

The values of a for which the equation 2x^(2) -2(2a+1) x+a(a+1) = 0 may have one root less them a and other root greater than a are given by

The ratio of the length of the diagonal of rhombus is 2 : 5 . Then, the ratio of the area of the rhombus to the square of the shorter diagonal :

Find the value of k such that the equation x^(2)-(k+6)x+2(2k-1)=0 has sum of the roots equal to half of their product :

If a^2 + b^2 + c^2 + d^2 = 1, then the maximum value of 16abcd is :

If l,b,p be the length , breadth and perimeter of a rectangle and b,l,p are in GP ( in order ) , then l/b is :

A rectangulartin sheet is 22 m long and 8 m broad. It is rolled along its length to form a cylinder by making the opposite edges just to touch each other . The volume of the cylinder ( in m^(3) ) is :

A can do a piece of work in 12 days and B can do same work in 18 days. Both A and B start the work and after some days A left and B complete the remaining work in 8 days. After how many days will A left work?

If x^(2) - 5y^(2) = 1232,how many pairs are possible for (x, y)

Vishal goes to a shop to buy a radio costing Rs. 2568. The rate of sales tax is 7%. He tells the shopkeeper to reduce the price of the radio to such an extent that he has to pay Rs. 2568, inculsive of sales tax. Find the reduction needed in the price of the radio.

There are 3 distinct books on physics, 4 distinct books on chemistry and 5distinct books on Biology. In how many ways can these books be placed on a shelf if the books on the same subject are to be together?