8677 + Interview Questions in Maths in Class 14 Page 38 InterviewSolution

1851.	Bhanu and Shafeeq started a business by investing Rs. 36,000 and Rs. 63,000. Find the share of each, out of an annual, profit of Rs 5,500.
Answer» SOLUTION :Ratio of SHARES of BHANU and Shafeeq = 36000:63000=4:7 `thereforeshare of bhanu=5500xx4/11=₹ 2000` and SHARE of Shafeeq=`5500xx7/11=3500`

Discussion

1852.	What is the number of teachers in the school? I. Each teacher takes atleast three lectures in a day II. There are 45 lectures in a week
Answer» If the Statement I alone is SUFFICIENT to answer the QUESTION but the Statement II alone is not sufficient If the Statement II alone is sufficient to answer the question but the Statement 1 alone is not sufficient If both Statements I and II TOGETHER are NEEDED to answer the question If you cannot get the answer from the Statements I and II together but need even more DATA

Discussion

1853.	In what ratio must a grocer mix two types of ricecosting rs7.50 per kgand rs10 per kg , respectively , so as to get a mixtureworth rs 8.25per kg ?
Answer» `4:3` `7:3` `8:3` `2:5` ANSWER :B

Discussion

1854.	Find the remainder in expression– (1372 xx 1276)/(9)
Answer» 1 2 3 7 Answer :a

Discussion

1855.	A tank contains a mixture of 80 ltof milk and water. 70% of the milk and 30 % of the water are withdrawn,therefore 55% part of the tank become empty. Find the initial quantity of milk and water in the tank.
Answer» ANSWER :` M to `50 LT, W` to30 ` lt

Discussion

1856.	A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of20%. The retailer in turn sells them to a customer for ₹30.09, thereby earning a profit of25%. The cost price for the manufacturer is
Answer» ₹15 ₹16 ₹17 ₹18 Solution :Let thecost priceof manufacture is = P SELLINGPRICE of themamufacture `= P + P XX (18)/(100) = (59P)/(50)` Wholesaler selling price `= (59P)/(50) + (59P)/(50)xx (20)/(100)` `= (59P)/(50) + (59P)/(250) = (345P)/(250)` Retailer sellingprice `= (345P)/(250) + (345P)/(250)xx (25)/(100)` `= (345P)/(250) + (177P)/(500) = (805P)/(500)` Now,` (805P)/(500) = 30.09` `rArr P = 17`

Discussion

1857.	Which of the following is not a valid Pythagorean relation in which x^2 + y^2 = z^2 ?
Answer» A)`576^2 + 768^2 = 960^2` B)`675^2 + 816^2 = 1059^2` C)`576^2 + 756^2 =945^2` D)`756^2 + 1215^2 = 1431^2` ANSWER :D

Discussion

1858.	A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for
Answer» `24(1)/(2)` days 12 days `12(1)/(4)` days 14 days Answer :B

Discussion

1859.	If AD is the internal angle bisector of DeltaABC with AB= 3 cm and AC = 1 cm, then what is BD : BC equla to ?
Answer» `1 : 3` `1 : 4` `2 : 3` `3 : 4` ANSWER :D

Discussion

1860.	If x:y::5:2, then (xy - x ^(2))/(x ^(2) + y ^2) = ?
Answer» `(17)/(29)` `(18)/(29)` `(-15)/(29)` `(19)/(19)` ANSWER :C

Discussion

1861.	What is the solution of the following simultaneous equations?x+y+z=6,x+2y+3z=14,x+3y+z=10
Answer» x=1,y=2,z=4 x=1,y=2,z=3 x=2,y=1,z=3 none of these Answer :B

Discussion

1862.	Three equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the resulting cuboid to that of the sum of the total surface areas of the threecubes.
Answer» 5:7 7:9 9:7 none of these Answer :B

Discussion

1863.	A can finish a work in 12 days and B can do it in 15 days. ’After A had worked for 3 days, B also joined A to finish the remaining work. In how many days, the remaining work will be finished?
Answer» 3 4 5 6 Answer :C

Discussion

1864.	At what rate per cent compound interest does a sum of money become four-fold in 2 years?
Answer» ANSWER :1

Discussion

1865.	If each side of the octagon be a, then find the longest diagonal of the octagon.
Answer» `(sqrt2+sqrt2)a` `(1+sqrt2)a` `2(1+sqrt2)a` a √( 4 + 2√2) ANSWER :D

Discussion

1866.	A string of length, 221 metre is cut into two parts such that one part is 9/4th as long as the rest of the string, then the difference between the larger piece the shorter piece is
Answer» 58 m 53 m 85 m none of these Answer :C

Discussion

1867.	What is the average number of candidates appearing for the entrance exam from state D in the years 2007, 2008 and 2009 together?
Answer» `1.907 2/3` `18666 2/3` `1.866 2/3` `190666 2/3` ANSWER :D

Discussion

1868.	How many3 digit evennumbersare theresuchif3 is oneof thedigitsthen9 is thenextdigits ?
Answer» 365 536 210 156 Answer :A

Discussion

1869.	When each side of a cube is increased by 20%, then findthe increase in total surface area of a cube .
Answer» `144%` `40%` `44%` `72.8%` ANSWER :C

Discussion

1870.	The two roots of the equation f(x)=f((x+8)/(x-1)) are:
Answer» 2,-2 4,-2 `-4,-2` 2,4 Answer :B

Discussion

1871.	Ifthe adjoining figure PQRS is a rectangle8 cm xx 6 cm , inscribed in the circle. The area of the shaped portion will be :
Answer» a. `48 CM^(2) ` B. `42.50 cm^(2) ` C. `32.50 cm^(2) ` d. `30.5 cm^(2) ` Answer :D

Discussion

1872.	A is thrice efficient as B and C is twice as efficient as B. What is the ratio of number of days taken by A, B and C, when the work individually?
Answer» 0.087534722222222 0.085486111111111 0.043090277777778 0.12571759259259 Answer :A

Discussion

1873.	Between two railway station the ratio of fare of 1^(st)and 2^(nd)class was 10:7 and later on the fare is increased in the ratio 3 : 4 and 5: 9 respectively. If the ratio of no. of passengers of both tier is 3 : 5 and total fare is Rs 30900 then find the total fare of 2^(nd)tier.
Answer» RS 18900 Rs 19400 Rs 20200 Rs 17300 ANSWER :A

Discussion

1874.	What is the largest possible two digit number by which 2179782 can be divided?
Answer» 88 50 66 99 Answer :D

Discussion

1875.	A contract to be completed in 56 days and 104 men were set towork each working 8 hours a day. After 30 days, 2/5th of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
Answer» ANSWER :56

Discussion

1876.	Answer these questions independently of each other 6 men and 3 women are to be seated for a dinner, In a row, such that no two women sit together. Find the number of ways in which this arrangements can be done.
Answer» 121500 151200 112500 `6!xx120` ANSWER :B

Discussion

1877.	The ratio of the speeds of A and B is 3:4 .A takes 20 min more than the time taken by B to reach a particular place. Find the time taken by A and B, respectively to reach that place.
Answer» 40 MIN and 30 min 80 min and 60 min 90 min and 45 min 90 min and 50 min Answer :B

Discussion

1878.	Find (x, y) if (3, 2),(6, 3),(x, y) and (6, 5) are the vertices of a rectangle :
Answer» (5, 6) (6, 5) (9, 6) (9, 5) ANSWER :C

Discussion

1879.	The difference between C.I. and S.I. on rs. 700 in 2 years at 5% p.a. is:
Answer» a. RS.10 B. rs.5 c. rs.1 d. rs. 1.75 Answer :B

Discussion

1880.	If the fractions (19)/(21), ( 21)/( 25), ( 25)/( 29) , ( 29)/( 31) and ( 31)/( 37) are arranged in ascending order of their values, then which one will be the 2nd ?
Answer» a. `(19)/( 21) ` b. `( 21)/( 25)` C. `( 25)/( 29)` d. `( 29)/( 31)` ANSWER :B

Discussion

1881.	The sum of n terms of the series , where n is an even number 1^2 - 2^2 + 3^2 - 4^(2) + 5^(2) - 6^2 + … :
Answer» N(n+1) n(n+1)/2 -n(n+1)/2 none Answer :C

Discussion

1882.	5 menand 4 womenare tobe seatedin arowso thatthe womenoccupythe evenplaces. Howmanysucharrangementsare possible?
Answer» A. 2880 B. 1440 C. 720 D. 2020 Answer :A

Discussion

1883.	A certainsum of money amountsto Rs. 2900 at 4 % per annum in4 years. In how many years will it amount to rupees 5000 at the same rate?
Answer» a) 20 b) 22 c) 24 d) 25 Solution :According to question , 4% rate in4 years add 16% to the principal 116% of principal = 2900 ` Rightarrow 100% " of principal "2500` Now(SI) NEW = 2500 ` 2500 = ( 2500 xx 4 xx T)/100` ` RightarrowT = 25 ` years

Discussion

1884.	For a quadratic inequation ax^2+bx+cgt0, and agt0 if you have double roots, the values of x that satisfy the given inequation
Answer» `-oolexleoo` `R-R^-` `-ooltxltoo` all the REAL VALUES EXCEPT ONE value Answer :C

Discussion

1885.	A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Answer» A) 48 B) 12 C) 36 D) 60 Answer :`5x-9x=-3`

Discussion

1886.	If [x] is the greatest integer less than or equal to x, then find the value of the following series [sqrt1] + [sqrt2] + [sqrt3] + [sqrt4] + ….+ [sqrt(323)]
Answer» 715 55 157 835 Answer :A

Discussion

1887.	A circle of centre O inscribed in a quadrilateral ABCD which touches all the sides of a quadrilateral. If angleAOB=115^(@). Find angleCOD.
Answer» ANSWER :`65^(@)`

Discussion

1888.	The value of x in the equation: 16x + 1/x = 8 is
Answer» `1/4` `1/16` `1/8` `1/9` ANSWER :A

Discussion

1889.	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. A city with the lowest number of film-watchers in any given city is :
Answer» P Q S T Answer :B

Discussion

1890.	Find the value of cot""(pi)/20.cot""(3pi)/20.cot""(5pi)/20.cot""(7pi)/20.cot""(9pi)/20
Answer» `-1` 1 `(1)/(2)` 0 Answer :B

Discussion

1891.	The mantissa of log 3274 is 0.5150 value of log(0.3274) is:
Answer» 1.515 1.515 2.515 none of these Answer :A

Discussion

1892.	The set S_1={1} S_2={3,5}, S_3={7,9,11} etc. forms a sequence. The sum of the first and last element of the set S_51 is :
Answer» 5202 5151 5152 5102 Answer :A

Discussion

1893.	In the given figureAB and CD are two parallel chords of a circle with centre O and radius 5 cm. Also, AB = 8 cm andCD = 6cm. If OP perpendicularto AB andOQ perpendicular to CD,then determine the length of PQ
Answer» 7 cm 10 cm 8 cm NONE of these ANSWER :A

Discussion

1894.	Income of a person is increased by Rs. 4800. Tax rate decreases from 12% t o 10% . Payable tax is same as before. If in both condition 20%of income is tax free. Find his current income.
Answer» ANSWER :RS. 28800

Discussion

1895.	Find the value ofx.
Answer» ANSWER :`(1283)/(7) = PI`

Discussion

1896.	costheta(tantheta+2)(2tantheta+1)=?
Answer» `2sectheta+5sintheta` `3sectheta+4sintheta` `sectheta+sintheta` `4sectheta+5sintheta` ANSWER :A::B::C

Discussion

1897.	If x sin^(3) theta + y cos^(3) theta = sin theta cos theta ne 0 and x sin theta - y cos theta = 0 , then value of (x^(2) + y^(2)) is :
Answer» 1 `SIN THETA - COS theta` `sin theta + cos theta` 0 Answer :A

Discussion

1898.	If p = 3 + 1/p, the valUe of (p^(4) + 1/p^(4)) is :
Answer» 81 270 120 119 Answer :B

Discussion

1899.	Find thenumberif trianglethat canbeformedbyjoiningthe 6 non - collinearpointson a plane .
Answer» 18 20 24 36 Answer :B

Discussion

1900.	The product a/b^2 xx b/a^2 expressed as the sum of two identical terms is :
Answer» `1/(a+b) + 1/(a+b)` `a/b+a/b` `b/a + b/a` `1/(2AB) + 1/(2ab)` ANSWER :D

Discussion

Explore topic-wise InterviewSolutions in .

Bhanu and Shafeeq started a business by investing Rs. 36,000 and Rs. 63,000. Find the share of each, out of an annual, profit of Rs 5,500.

What is the number of teachers in the school? I. Each teacher takes atleast three lectures in a day II. There are 45 lectures in a week

In what ratio must a grocer mix two types of ricecosting rs7.50 per kgand rs10 per kg , respectively , so as to get a mixtureworth rs 8.25per kg ?

Find the remainder in expression– (1372 xx 1276)/(9)

A tank contains a mixture of 80 ltof milk and water. 70% of the milk and 30 % of the water are withdrawn,therefore 55% part of the tank become empty. Find the initial quantity of milk and water in the tank.

A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of20%. The retailer in turn sells them to a customer for ₹30.09, thereby earning a profit of25%. The cost price for the manufacturer is

Which of the following is not a valid Pythagorean relation in which x^2 + y^2 = z^2 ?

A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for

If AD is the internal angle bisector of DeltaABC with AB= 3 cm and AC = 1 cm, then what is BD : BC equla to ?

If x:y::5:2, then (xy - x ^(2))/(x ^(2) + y ^2) = ?

What is the solution of the following simultaneous equations?x+y+z=6,x+2y+3z=14,x+3y+z=10

Three equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the resulting cuboid to that of the sum of the total surface areas of the threecubes.

A can finish a work in 12 days and B can do it in 15 days. ’After A had worked for 3 days, B also joined A to finish the remaining work. In how many days, the remaining work will be finished?

At what rate per cent compound interest does a sum of money become four-fold in 2 years?

If each side of the octagon be a, then find the longest diagonal of the octagon.

A string of length, 221 metre is cut into two parts such that one part is 9/4th as long as the rest of the string, then the difference between the larger piece the shorter piece is

What is the average number of candidates appearing for the entrance exam from state D in the years 2007, 2008 and 2009 together?

How many3 digit evennumbersare theresuchif3 is oneof thedigitsthen9 is thenextdigits ?

When each side of a cube is increased by 20%, then findthe increase in total surface area of a cube .

The two roots of the equation f(x)=f((x+8)/(x-1)) are:

Ifthe adjoining figure PQRS is a rectangle8 cm xx 6 cm , inscribed in the circle. The area of the shaped portion will be :

A is thrice efficient as B and C is twice as efficient as B. What is the ratio of number of days taken by A, B and C, when the work individually?

Between two railway station the ratio of fare of 1^(st)and 2^(nd)class was 10:7 and later on the fare is increased in the ratio 3 : 4 and 5: 9 respectively. If the ratio of no. of passengers of both tier is 3 : 5 and total fare is Rs 30900 then find the total fare of 2^(nd)tier.

What is the largest possible two digit number by which 2179782 can be divided?

A contract to be completed in 56 days and 104 men were set towork each working 8 hours a day. After 30 days, 2/5th of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?

Answer these questions independently of each other 6 men and 3 women are to be seated for a dinner, In a row, such that no two women sit together. Find the number of ways in which this arrangements can be done.

The ratio of the speeds of A and B is 3:4 .A takes 20 min more than the time taken by B to reach a particular place. Find the time taken by A and B, respectively to reach that place.

Find (x, y) if (3, 2),(6, 3),(x, y) and (6, 5) are the vertices of a rectangle :

The difference between C.I. and S.I. on rs. 700 in 2 years at 5% p.a. is:

If the fractions (19)/(21), ( 21)/( 25), ( 25)/( 29) , ( 29)/( 31) and ( 31)/( 37) are arranged in ascending order of their values, then which one will be the 2nd ?

The sum of n terms of the series , where n is an even number 1^2 - 2^2 + 3^2 - 4^(2) + 5^(2) - 6^2 + … :

5 menand 4 womenare tobe seatedin arowso thatthe womenoccupythe evenplaces. Howmanysucharrangementsare possible?

A certainsum of money amountsto Rs. 2900 at 4 % per annum in4 years. In how many years will it amount to rupees 5000 at the same rate?

For a quadratic inequation ax^2+bx+cgt0, and agt0 if you have double roots, the values of x that satisfy the given inequation

A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

If [x] is the greatest integer less than or equal to x, then find the value of the following series [sqrt1] + [sqrt2] + [sqrt3] + [sqrt4] + ….+ [sqrt(323)]

A circle of centre O inscribed in a quadrilateral ABCD which touches all the sides of a quadrilateral. If angleAOB=115^(@). Find angleCOD.

The value of x in the equation: 16x + 1/x = 8 is

Find the value of cot""(pi)/20.cot""(3pi)/20.cot""(5pi)/20.cot""(7pi)/20.cot""(9pi)/20

The mantissa of log 3274 is 0.5150 value of log(0.3274) is:

The set S_1={1} S_2={3,5}, S_3={7,9,11} etc. forms a sequence. The sum of the first and last element of the set S_51 is :

In the given figureAB and CD are two parallel chords of a circle with centre O and radius 5 cm. Also, AB = 8 cm andCD = 6cm. If OP perpendicularto AB andOQ perpendicular to CD,then determine the length of PQ

Income of a person is increased by Rs. 4800. Tax rate decreases from 12% t o 10% . Payable tax is same as before. If in both condition 20%of income is tax free. Find his current income.

Find the value ofx.

costheta(tantheta+2)(2tantheta+1)=?

If x sin^(3) theta + y cos^(3) theta = sin theta cos theta ne 0 and x sin theta - y cos theta = 0 , then value of (x^(2) + y^(2)) is :

If p = 3 + 1/p, the valUe of (p^(4) + 1/p^(4)) is :

Find thenumberif trianglethat canbeformedbyjoiningthe 6 non - collinearpointson a plane .

The product a/b^2 xx b/a^2 expressed as the sum of two identical terms is :