8677 + Interview Questions in Maths in Class 14 Page 27 InterviewSolution

1301.	B takes two times as long as (A + C) together to complete a work. C takes three times as much as (A + B) together to complete a work. If all the three, working together can complete the work in 36 days, then find the number of days A, B and C alone will take to complete this work.
Answer» Answer :`A to 86(4)/(5)` DAYS, `B to 108` days, `C to 144` days

Discussion

1302.	A candle of 6 cm long burns at the rate of 5 cm in 5 h and another candle of 8cm long burns at the rate of 6 cm in 4 h. What is the time required by each candle to remain of equal lengths after burning for some hours, when they starts to burn simultaneously with uniform rate of burning?
Answer» 1h 1.5h 2h none of these Answer :D

Discussion

1303.	A sphere of 30 cm radius is dropped into a cylindricalvessel of 80 cm diameter, which is partly filled with water , then its level rises by x cm . Find x :
Answer» 27.5 cm 22.5 cm 18.5 cm none of these Answer :B

Discussion

1304.	A builder borrows Rs. 2550 to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly installments. How much will each installment be?
Answer» ANSWER :RS. 1352

Discussion

1305.	4,2,2,3,6,15,45 If (2700)^(P) is the term of the sequence where P is the P^(th) term of sequence then find 'P'.
Answer» 8th 9th 10th 11th Solution :PATTERN of the series is So, next terms will be `45xx3.5, 45xx3.5xx4, 45xx3.5xx4, 4.5` Do not CALCULATE exact VALUES. Just calculate APPROXIMATE values because with increase in values next term will be far away from 2700 So, `45xx3.5` is approx. 150 And, `150xx4` is approx. - 600 `600xx4.5` is approx. `xx2700` So, multiples of 4.5 is nth term which is 10th term.

Discussion

1306.	A certain number of persons can complete a piece of work in 55 days. If there were 6 persons more, the work could be finished in 11 days less. How many persons were originally there?
Answer» ANSWER :24

Discussion

1307.	If x = 1/(sqrt(2) - 1), then the value of x^2 - 6 + 1/(x^2) is :
Answer» 0 1 `SQRT2` can't be DETERMINED ANSWER :A

Discussion

1308.	The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?
Answer» 25 26 27 28 Answer :B

Discussion

1309.	What is the rate of interest pcpa ?Statements:I. The difference between the compound interest and simple interest earned in two years on the amount invested is Rs.100.II. The amount becomes Rs.19,500 in three years on simple interest.III. The simple interest acquired in two years on the same amount at the same rate of interest is Rs. 3,000.
Answer» <P>only I and II only I and III only II and III only I and either II or III Solution :From statement I, If the investment AMOUNT be Rs.P and rate of interest be R p.c.p. a. then Difference `=P((R)/(100))^(2)==(PR^(2))/(10000)=100""...(i)` From Statement II, `(PR_(1)xx3)/(100)=19500-P""(ii)` From Statement III, `(PRxx2)/(100)=3000""(iii)` DIVIDING equation (i) by (iii), `(PR^(2))/(PR)=(1000000)/(150000)=20/3` `impliesR=30/3p.c.p.a`

Discussion

1310.	If A takes 4//5 days as B takes and working together they require (20)/(3) days to complete the whole work What is the efficiency of B ?
Answer» `6(2)/(3)%` `16%` `5.55%` `8(1)/(3)%` Answer :A

Discussion

1311.	A company instead of raising the mark price by 20%, discounted the cost price by 20% while stitching the price tag on its product. Further the company offers a discount of 6.25% to its costomer. In this process company incurs a loss of Rs 37.5 on a single article. What was the selling price of that article.
Answer» ANSWER :RS. 150

Discussion

1312.	(sin(x+y))/(sin(x-y))=(a+b)/(a-b), then (tanx)/(tany)=?
Answer» a B `a//b` `b//a` ANSWER :A::B

Discussion

1313.	In a class 45% students read English, 30% read French and 20% read both English and French. One student is selected at random find the probability that he reads French, if it is known that he reads English.
Answer» `4/9` `5/9` `2/9` `1/9` ANSWER :A

Discussion

1314.	P is a prime number and (p^2+3) is also a prime number. Find the number of values of p satisfying the given criterias.
Answer» 3 2 1 can' say Answer :C

Discussion

1315.	The perimeter of a rectangle is 48 meters, and its area is 135 m^2. The sides of the rectangle are
Answer» 45M, 3m 19m, 5m 15 m, 9m 27m, 5m Answer :D

Discussion

1316.	Answer these questions based on the following information Shashi Huzoor - a prolific writer - is very vocal and straightforward in his views. He loves to opine through twitter, a website that allows anybody to tweet (or publish digitally) a message containing not more than 140 characters including the number of blank spaces. But, it's not possible to tweet a blank message. Recently he got mired in a nasty tweet. since then he has a superstition that if he tweets a post that uses odd number of alphanumeric characters, from the set of 26 alphabets and 10 numerals, it brings misfortune and a lot of trouble for him. So he prefers to use only even number of alphanumeric characters in all his tweets. That is to write a post on twitter he may select either 2 characters or 4 characters or 6 characters, and so on, from the set {a, b, c, ....,z, 0, 1, 2, ........,9} to write a tweet. Repetition of any characters does not matter to him, that is total number of characters in a tweet can be either odd or even. Find the number of ways in which he can select the characters to tweet for hir ardent followers.
Answer» 36 `2^36` `4^36 - 1` `2^36 - 1` ANSWER :D

Discussion

1317.	The value of ((14)^2 - (7)^2times2)/(7times4) = ?
Answer» 98 35 350 None of these. Answer :B

Discussion

1318.	The average weight of 16 students in a class is 50.25 kg, and that of the remaining 8 students is 45.15 kg. Find the average weight of all the students in the class.
Answer» 31.44 48.55 56.23 34.56 Answer :B

Discussion

1319.	Solve: 12 1/2 times 3 3/5 div 1 4/5
Answer» 25 405 81 45 Answer :D

Discussion

1320.	What amount will be received on a sum of X 1750 in 5/2 yr, if the interest is compounded at the rate of 8%pa ?
Answer» X 2125 X 2122.85 X 2100 X 2200 Answer :B

Discussion

1321.	The ratio of cost price and selling price is 4 : 5, the profit percent is :
Answer» ANSWER :0.25

Discussion

1322.	A hospital room is to accommodate 56 patients. It should be done in such a way that every patient gets 22 m of floor and 8.8 m of space. If the length of the room is 14 m, then breadth and height of the room are respectively
Answer» 8.8 m, 4 m 8.4 m, 4.2 m 8 m, 4 m 7.8 m, 4.2 m Answer :A

Discussion

1323.	Find the value of (sec 65^@)/(cosec 25^@)
Answer» ANSWER :1

Discussion

1324.	Convert (16)_10 into binary system (or in base 2)
Answer» SOLUTION :

Discussion

1325.	Let Vr denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is (2r – 1). Let T_(r)=V_(r+1)-V_(r)-2 and Q_(r+1)-T_(r) for r=1,2……. The sum V_(1)+V_(2)+….+V_(n) is
Answer» `1/12 N(n+1)(3n^2-n+1)` `1/12 n(n+1)(3n^2+n+2)` `1/2 n(2n^2-n+1)` `1/3 (2n^2-2n+3)` ANSWER :B

Discussion

1326.	Let V_r denote the sum of the first r terms of an arithmetic progression (AP) whose first term is r and the common difference is (2r-1). Let T_r=V_(r+1)-V_r-2 and Q_r =T_(r+1)-T_r for r=1,2 Which one of the following is a correct statement? (A) Q_1, Q_2, Q_3………….., are in A.P. with common difference 5 (B) Q_1, Q_2, Q_3………….., are in A.P. with common difference 6 (C) Q_1, Q_2, Q_3………….., are in A.P. with common difference 11 (D) Q_1=Q_2=Q_3
Answer» `Q_1,Q_2,Q_3,`.....are in A.P. with COMMON DIFFERENCE 5. `Q_1,Q_2,Q_3,`.....are in A.P. with common difference 6. `Q_1,Q_2,Q_3,`.....are in A.P. with common difference 11. `Q_1=Q_2=Q_3,`...... ANSWER :B

Discussion

1327.	Let V_r denote the sum of the first r terms of an arithmetic progression (AP) whose first term is r and the common difference is (2r-1). Let T_r=V_(r+1)-V_r-2 and Q_r =T_(r+1)-T_r for r=1,2 T_r is always (A) an odd number (B) an even number (C) a prime number (D) a composite num,ber
Answer» an ODD number an EVEN number a PRIME number a COMPOSITE number Answer :D

Discussion

1328.	Kumbhakarna starts sleeping between 1 am and 2 am and he wakes up when his watch shows such a time that the two hands (i.e., hour-hand and minute-hand) interchange the respective places. He wakes up between 2 am and 3 am on the same night.How long does he sleep?
Answer» `55(5)/(13)` min `110(10)/(13)` min `54(6)/(13)` min none of these Answer :A

Discussion

1329.	If the average of 17 consecutive even number is 143. Find the difference between first and last number
Answer» ANSWER :32

Discussion

1330.	A person borrowed a sum at 6% per annum and Return Rs. 6800 after 1 year. Now the rate of interest is becomes 5% P.a. on the rest of the amount. If the Interest of second year is 11//20 of Ist year S.I. What amount was borrowed .
Answer» 10000 12000 15000 17000 Answer :RS. 17000

Discussion

1331.	A sum was put at simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched ₹ 112 more. The sum is :
Answer» 1120 1400 1200 8000 Answer :B

Discussion

1332.	A and B started a business with Rs. 20000 and Rs. 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership with the condition that A, B and C will share profit equally and pays Rs. 220000 as premium for this, to be shared between A and B. This is to be divided between A and B in the ratio of
Answer» `10: 1` `1: 10` `9: 10` `10: 9` ANSWER :A

Discussion

1333.	If the difference between the simple interest on a certain sum of money for 4 years at 2 (1)/(2) % per annum and the simple interest on the same sum for the same period at 3%per annum is Rs 60, then find the sum.
Answer» ANSWER :RS 3000

Discussion

1334.	Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 If b=-a, c=a, f(f(1)) equals:
Answer» A. `a+a^(2)+a^(3)` B. `a+a^(2)-a^(3)` C. `a-a^(2)+a^(3)` D. NONE of these Answer :B

Discussion

1335.	A postman goes with a speed of 36 km/h what is the speed of postman in m/min?
Answer» 325 432 360 600 Answer :D

Discussion

1336.	Following questions are based on the given information for the following functions f (x) f(x) =2bx +f(-x)," if " x lt 0 f(x)=a, " if "x =0 f(x)=b+c-2cx +f(x-1)," if "x gt 0 If a = 15, b = 11, c = – 3, then f (7) equals:
Answer» 239 115 `-147` NONE of these Answer :A

Discussion

1337.	Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 If a=4, b=-17 and c=-18, then for what value of x, f(x)lt0?
Answer» 4 or 9 `(1)/(2)or (4)/(9)` `-1 or 18` NONE of these Answer :B

Discussion

1338.	Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 If a=12, b=10 and c=8, then for what value of x, f(x)lt0?
Answer» `(3)/(4)` 1 `-2` NONE of these Answer :C

Discussion

1339.	Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 f(-19) equals :
Answer» A. `a-19b+361c` B. `a+19(b-19c)` C. `a-19(b+19c)` D. NONE of these Answer :C

Discussion

1340.	DeltaDEFisright angledat E . If mangleD=45^(@) , then what is the value ofcosecFxxcotD ?
Answer» `(1)/(SQRT2)` 2 `(1)/(2)` `sqrt2` ANSWER :D

Discussion

1341.	If ""^(56)P_(r +6) :""^(54)P_(r+3)= 30800 :1 findr.
Answer» 14 20 41 21 Answer :C

Discussion

1342.	Which of the following algebric expressions are polynomials? x^2-sqrt3x+4
Answer» SOLUTION :`x^2-sqrt3x+4` is a POLYNOMIAL and C `sqrt2x^2-sqrt3x+sqrt5` is ALSO a polynomial

Discussion

1343.	A is twice efficient as B and together they do the same work, in as much time as C and D together. If C and D can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually:
Answer» 12 DAYS 18 days 24 days 30 days ANSWER :B

Discussion

1344.	After travelling 3 hours a train meets with an accident due to this it stops for an hour. After this the train moves at 75% speed of its original speed and reaches to destination 4 hours late. If the accident would have occured 150 km ahead in the same line then the train would have reached 3.5 hours late. Then find the distance of journey and the original speed of the train?
Answer» ANSWER :100km/h, 1200KM

Discussion

1345.	Pooja, Shipra and Monika are three sisters. Pooja and Shipra are twins. The ratio of sum of the ages of Pooja and Shipra is same as that of Monika alone. Three years earlier theratio of age of Pooja and Monika was 2:7. What will be the age of Shipra 3 years hence?
Answer» 21 years 16 years 8 years 12 years Answer :C

Discussion

1346.	Find the ratio of circumradius to inradius . If the ratio of sidesis 5:7:8.
Answer» ANSWER :`(7)/(3)`

Discussion

1347.	An infinite G.P has first term x and sum 5 thenx belongs
Answer» `xlt-10` `-10ltxlt0` 0ltxlt10` `xgt10` ANSWER :C

Discussion

1348.	if one pipe A can fill a tank in 20 minutes, then 5 pipes, each of 20% efficiency of A, can fill the tank.in .
Answer» 80 min 100 min 20 min 25 min Answer :C

Discussion

1349.	There are two containers A and B filled with mentha oilwith different prices and their volumes are 140 litres and 60 litres respectively. Equal quantities are drawn from both A and B in such a maner that the oil drawn from A is poured into B and the oil drawn from B is poured into A. The price per litre becomes equal to both A and B. How oil is drawn from each of A and B
Answer» 40 litre 21 litre 42 litre can't be determined Answer :C

Discussion

1350.	What will come in place of question mark (?) in the following number series' 9 20 42 75 119 ?
Answer» 174 170 168 180 Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

B takes two times as long as (A + C) together to complete a work. C takes three times as much as (A + B) together to complete a work. If all the three, working together can complete the work in 36 days, then find the number of days A, B and C alone will take to complete this work.

A candle of 6 cm long burns at the rate of 5 cm in 5 h and another candle of 8cm long burns at the rate of 6 cm in 4 h. What is the time required by each candle to remain of equal lengths after burning for some hours, when they starts to burn simultaneously with uniform rate of burning?

A sphere of 30 cm radius is dropped into a cylindricalvessel of 80 cm diameter, which is partly filled with water , then its level rises by x cm . Find x :

A builder borrows Rs. 2550 to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly installments. How much will each installment be?

4,2,2,3,6,15,45 If (2700)^(P) is the term of the sequence where P is the P^(th) term of sequence then find 'P'.

A certain number of persons can complete a piece of work in 55 days. If there were 6 persons more, the work could be finished in 11 days less. How many persons were originally there?

If x = 1/(sqrt(2) - 1), then the value of x^2 - 6 + 1/(x^2) is :

The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?

If A takes 4//5 days as B takes and working together they require (20)/(3) days to complete the whole work What is the efficiency of B ?

(sin(x+y))/(sin(x-y))=(a+b)/(a-b), then (tanx)/(tany)=?

In a class 45% students read English, 30% read French and 20% read both English and French. One student is selected at random find the probability that he reads French, if it is known that he reads English.

P is a prime number and (p^2+3) is also a prime number. Find the number of values of p satisfying the given criterias.

The perimeter of a rectangle is 48 meters, and its area is 135 m^2. The sides of the rectangle are

The value of ((14)^2 - (7)^2times2)/(7times4) = ?

The average weight of 16 students in a class is 50.25 kg, and that of the remaining 8 students is 45.15 kg. Find the average weight of all the students in the class.

Solve: 12 1/2 times 3 3/5 div 1 4/5

What amount will be received on a sum of X 1750 in 5/2 yr, if the interest is compounded at the rate of 8%pa ?

The ratio of cost price and selling price is 4 : 5, the profit percent is :

A hospital room is to accommodate 56 patients. It should be done in such a way that every patient gets 22 m of floor and 8.8 m of space. If the length of the room is 14 m, then breadth and height of the room are respectively

Find the value of (sec 65^@)/(cosec 25^@)

Convert (16)_10 into binary system (or in base 2)

Let Vr denote the sum of first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is (2r – 1). Let T_(r)=V_(r+1)-V_(r)-2 and Q_(r+1)-T_(r) for r=1,2……. The sum V_(1)+V_(2)+….+V_(n) is

Let V_r denote the sum of the first r terms of an arithmetic progression (AP) whose first term is r and the common difference is (2r-1). Let T_r=V_(r+1)-V_r-2 and Q_r =T_(r+1)-T_r for r=1,2 T_r is always (A) an odd number (B) an even number (C) a prime number (D) a composite num,ber

Kumbhakarna starts sleeping between 1 am and 2 am and he wakes up when his watch shows such a time that the two hands (i.e., hour-hand and minute-hand) interchange the respective places. He wakes up between 2 am and 3 am on the same night.How long does he sleep?

If the average of 17 consecutive even number is 143. Find the difference between first and last number

A person borrowed a sum at 6% per annum and Return Rs. 6800 after 1 year. Now the rate of interest is becomes 5% P.a. on the rest of the amount. If the Interest of second year is 11//20 of Ist year S.I. What amount was borrowed .

A sum was put at simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched ₹ 112 more. The sum is :

If the difference between the simple interest on a certain sum of money for 4 years at 2 (1)/(2) % per annum and the simple interest on the same sum for the same period at 3%per annum is Rs 60, then find the sum.

Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 If b=-a, c=a, f(f(1)) equals:

A postman goes with a speed of 36 km/h what is the speed of postman in m/min?

Following questions are based on the given information for the following functions f (x) f(x) =2bx +f(-x)," if " x lt 0 f(x)=a, " if "x =0 f(x)=b+c-2cx +f(x-1)," if "x gt 0 If a = 15, b = 11, c = – 3, then f (7) equals:

Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 If a=4, b=-17 and c=-18, then for what value of x, f(x)lt0?

Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 If a=12, b=10 and c=8, then for what value of x, f(x)lt0?

Following questions are based on the given information for the following functions f(x) f(x)=2bx+f(-x), if x lt0 f(x)=a if x =0 f(x)=b+c-2cx+f(x-1), if x gt0 f(-19) equals :

DeltaDEFisright angledat E . If mangleD=45^(@) , then what is the value ofcosecFxxcotD ?

If ""^(56)P_(r +6) :""^(54)P_(r+3)= 30800 :1 findr.

Which of the following algebric expressions are polynomials? x^2-sqrt3x+4

A is twice efficient as B and together they do the same work, in as much time as C and D together. If C and D can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually:

Pooja, Shipra and Monika are three sisters. Pooja and Shipra are twins. The ratio of sum of the ages of Pooja and Shipra is same as that of Monika alone. Three years earlier theratio of age of Pooja and Monika was 2:7. What will be the age of Shipra 3 years hence?

Find the ratio of circumradius to inradius . If the ratio of sidesis 5:7:8.

An infinite G.P has first term x and sum 5 thenx belongs

if one pipe A can fill a tank in 20 minutes, then 5 pipes, each of 20% efficiency of A, can fill the tank.in .

What will come in place of question mark (?) in the following number series' 9 20 42 75 119 ?