8677 + Interview Questions in Maths in Class 14 Page 22 InterviewSolution

1051.	If f(x)=(x)/(sqrt(1-x^2)) and g(x)=(x)/(sqrt(1+x^2)), then (fog)(x) =
Answer» a. x b. 0 c. -1 d. 2 Answer :A

Discussion

1052.	Find the distance between two parallel lines 5x + 12y - 30 = 0 and 5x + 12y - 4 = 0
Answer» 3 7 44318 2 Answer :D

Discussion

1053.	If (3x-(2)/(x))=5, then the value of (9x^(2)-(4)/(x^(2))) is :
Answer» 25 35 30 none of these Answer :B

Discussion

1054.	What is the rate of simple interest at which Rs. 14,000 givesinterest of Rs. 1960 in two years ?
Answer» `4%` `5%` `7%` `10%` ANSWER :C

Discussion

1055.	An article was sold at 20% profit. Had it purchased at Rs 20 less and sold at Rs 20 less there would have been profit of 10% more. Find C.P. of article?
Answer» ANSWER :RS. 60

Discussion

1056.	If A = sqrt(2) , B = root(3)(3) and C = root(4)(4) then which of the relation is correct ?
Answer» `A GT B gt C` `A gt B = C` `A = C LT B` none of these ANSWER :C

Discussion

1057.	A room is 19 m long and 3.50 m broad. What will be the cost of covering its floor with a carpet of 70 cm wide at 95 paise per metre ?
Answer» `₹90.25` `₹99.25` `₹90.75` NONE of these Answer :A

Discussion

1058.	7, 77, 77, 777 div77 equals
Answer» 1111 1010001 10101 1010101 Answer :D

Discussion

1059.	By selling oranges at 32 a rupee, a man loses 40%. How many for a rupee should he sell in order to gain 20% ?
Answer» ANSWER :16

Discussion

1060.	Vishvamitra has some guavas of same shape, size and colour . He wants to distribute them equally among some of his chosen disclples. In order to do this he can cut a guava into uniform pieces only . Which of the following statements is /are false ? (i) He can divide 7 guavas equally among his 12 disciples, such that no any guava is cut into more then 6 pieces. (ii) He can divide 6 guavas equally among his 12 disciples, such that no any guava is cut into more then 3 pieces.(iii) He can divide 11 guavas equally among his 15 disciples, such that no any guava is cut into more then 6 pieces.(iv) He can divide 7 guavas equally among his 15 disciples, such that no any guava is cut into more then 6 pieces.
Answer» (i) (II) (III) (IV) ANSWER :D

Discussion

1061.	An artist in a circus moves along the hexagonal path of each side 20 metres in such a way that for the first 20 meters he goes with a speed of 20 m/s and the next 20 meters with a speed of 10m/s. similarly he continuous for the rest of the hexagonal path with the same alternating speed i.e , 20 m/s and 10m/s . the average speed of the artist per round of the circus is :
Answer» 13.33 m/s 23.66 m/s `39(1)/3` 15m/s Answer :A

Discussion

1062.	Solution of equation((x-b)(x-c))/( (a-b)(a -c))+( (x-c)(x-a))/((b-c)(b-a))+( (x-a)(x-b))/((c-a)(c-b)) = 1 is/are.
Answer» 0 6 2 3 Answer :D

Discussion

1063.	If xy= 16, find minimum value of x+y
Answer» ANSWER :8

Discussion

1064.	Numberof hours and minutes from 6:14am to 8:02 pm on the same days is
Answer» a) 2H and 12 min B) 12H and 16 min c) 13h and 48 min d) 14H and 16 min Answer :C

Discussion

1065.	If 3x+7y=75 and 5x-5y=25, what is the value of x+y
Answer» 14 15 16 17 Answer :A

Discussion

1066.	Twotangents T Pand T Qare drawnto a circle with centre Ofrom anexternal point T. Provethat /_P T Q=2/_O P Q.
Answer» `ANGLE OPQ` `2 angle OPQ` `(1)/(2) angle OPQ` `(1)/(3) angle OPQ` Answer :B

Discussion

1067.	What is the exact average of n,35, 39, 42,p and w?
Answer» ANSWER :D

Discussion

1068.	The value of ""_(27)log_3 (81) is:
Answer» 27381 531441 65631 none of these ANSWER :B

Discussion

1069.	Total number of digits in the product of (4)^(1111) xx (5)^(2222) is ,
Answer» 3333 2223 2222 can't be determined Answer :B

Discussion

1070.	36.0001 + 5.9998 xx sqrt(?)= 108.0005
Answer» 18 16 256 325 Answer :D

Discussion

1071.	If In denotes the greatest integer lt nand (ru denotes the smallest integer gt n, where n is any real number, then (1(1)/(5))xx[1(1)/(5)]-(1(1)/(5))+[1(1)/(5)]+(1.5) is
Answer» 1.5 2 2.5 3.5 Answer :B

Discussion

1072.	If a+b+c= 0, then (a+b)/(c )= ?
Answer» ANSWER :`-1`

Discussion

1073.	The radius of the incircle of an equilateral Delta ABC of side 2sqrt(3) units is x cm. The value of x is :
Answer» `1/3` `1/2` `1` `SQRT(3)` ANSWER :C

Discussion

1074.	The ratio of a two digit natural number to a number formed by reversing it digit is 4 : 7. Find the sum of all such possible numbers
Answer» 120 108 330 332 Answer :A

Discussion

1075.	A shopkeeper bought 72 oranges for 324. He sold 50 of them at rs 6 each and the remaining at 165. Find his profit.
Answer» 121 131 141 161 Answer :B

Discussion

1076.	x@y = (x + y)^2 x#y = (x-y)^2 Find the value of 12#(14@(12#13)):
Answer» 4539 42336 45369 89719 Answer :C

Discussion

1077.	A trapezium PQRS inscribes a circle which touches the circle at M, A, N, B, Radius of circle is 10 cm. The length of each non-parallel side is 21 cm. What is the perimeter of trapezium?
Answer» 82 cm 84 cm 85.5 cm can't be determined Answer :B

Discussion

1078.	(sin(270^(@)+theta).cos(360^(@)+theta).tan(180^(@)+theta))/(cos(180^(@)+theta).sin(270^(@)-theta).cot(270^(@)+theta))=?
Answer» ANSWER :1

Discussion

1079.	A ship 55 km from the shore springs a leak which admits 2 tonnes of water in 6 min . 80 tonnes of water would suffer to sink it, but the pumps can throw out 12 tonnes of water an hour. Find the average rate of sailing that it may just reach the shore as it begins to sink
Answer» ANSWER :5.5 km/h

Discussion

1080.	Rs 10 is to be paid in 11 monthly installment. If each installment is of Rs. 1. Find the rate of interest per annum.
Answer» ANSWER :0.12

Discussion

1081.	Devic Mathematics are as follows : +rarr" multiplication" - rarr" division" xx rarr" addition" // rarr" subtraction" ^^ rarr" power (or index) for exponential expression." But Devic (Mathematics must follow the same conventional BODMAS rule of mathematics. Solve the following questions in Devic Mathematics. The value of the following expression in Devic mathematics is : [(x^(2)xxy^(2))-(x+y)^(2)]+[(x+y)^(3)-{((x)/(y))^(2)x2+x+y}]
Answer» a)`(X)/(y)` `B) x+y` ` C) x XX y` d)`x^^y` ANSWER :B

Discussion

1082.	Two equalsums of money are lent at the same time at 8% and 7% per annum simpleinterest. The former is recovered 6 months earlier than the latter and theamount in each case is Rs 2560. The sum and the time for which the sums ofmoney are lent out areRs 2000,3.5 years xx4years (b) Rs 1500, 3.5 years xx4 years(c) Rs2000, 4 years xx5.5years (d) Rs 3000, 4 years xx4.5 years
Answer» Rs.2000 Rs. 2100 Rs. 2250 Rs. 1800 Answer :A

Discussion

1083.	Find all the values of x that satisfy x^2-3\|x\|+2=0
Answer» a) 0 b) 2 C) 4 d) none of these Answer :C

Discussion

1084.	In a 3 km race the speed of A and B are in the ratio of 6:5 and A wins by 10 seconds. What is the time taken by B to finish the race, Also to end the race in dead heat what per cent of total distance A should give the startup to B?
Answer» ANSWER :1 MIN

Discussion

1085.	5 * 2 + 4 = ?.
Answer» 7 14 6 4.5 Answer :A

Discussion

1086.	A contract is to be completed in 92 days and 234 men set to work , each working 16h a day. After 66 days , 4/7 of the work is completed. How many additional men many be employed , so that the work may be completed in time , each man now working 18h a day ?
Answer» 162 234 262 81 Answer :A

Discussion

1087.	All the soldiers are arranged in the form of an equilateral triangle i.e., one soldier in the front and 2 soldiers in the second row and 3 soldiers in the third row, 4 soldiers in the fourth row and so on. If 669 more soldiers of another company are added in such a way that all the soldiers now are in the form of an square and each of the sides then contain 8 soldiers less than each side of equilateral triangle. Initially, how many soldiers were there ?
Answer» 2056 1540 1400 1220 Answer :B

Discussion

1088.	Find the product of 102030 xx 405060 xx 708090
Answer» 3.90647E+16 2.81636E+17 2.92635978862E+14 2.91636E+17 Answer :C

Discussion

1089.	The rate of interest on a sum of money is 4% per annum for the first 2 years, 6% per annum for the next 4 years and 8% per annum for the period beyond 6 years. if the simple interest accrued by the sum for a totalperiod of 9 years is Rs. 1120, then the sum is
Answer» A) 8400 B) 8200 C) 8100 C) 8100 Answer :RS. 2000

Discussion

1090.	The value of the expression 7777 + 7777 xx 7777 xx (5 div 77) xx (11 div 35) :
Answer» 1234321 12344321 `7^(7777)` NONE of these Answer :D

Discussion

1091.	If log_(a) bc =x, log_(b) ca=y, log_( c)ab =z, prove that 1/(x+1) + 1/(y+1) + 1/(z+1)=1
Answer» ANSWER :1

Discussion

1092.	If the average of the ages of Rakesh and Mohan is 15, average of the ages of Mohan and Ramesh is 12 and the average of the ages of Rakesh and Ramesh is 13, then the age of Mohan, is
Answer» 16 13 14 12 Answer :C

Discussion

1093.	Mallah can row 40 km upstream and 55 km downstream in 13 h and 30 km upstraem and 44 km downstream in 10 hours what is the speed of Mallah in still water?
Answer» 6 km/h 12 km/h 3 km/h 8 km/h Answer :D

Discussion

1094.	A man spends (1)/(4)the of his income on food, (2)/(3)rd of it on house rent and the remaining which isRs 630 on other commodities. Find his house rent?
Answer» ₹ 5040 ₹ 3520 ₹ 4890 ₹ 4458 Answer :A

Discussion

1095.	There are (2)/(3) menin a villageand the restare women. 80%of the number of men and 70%of number of women are literate. 40%of literate men and 30%of literate women are graduate. 20%of graduate men and 25% of graduate women have government jobs. Working population of that village is what percent of total population?
Answer» ANSWER :`6 . 01%`

Discussion

1096.	What will be the amount if a sum of Rs. 5000 is placed at compound interest for 3 years while rate of interest for the first, second and third years is 2%, 3% and 4% respectively?
Answer» ANSWER :RS. 463.12

Discussion

1097.	If a,b,c gt 0, then (a )/(b +c) = (b)/( c +a) = (a)/(a +b) = ?
Answer» `1/2` `3/2` `7/5` `5/3` ANSWER :A

Discussion

1098.	What percent of a day is 3 hours?
Answer» a. 12 1/2% B. 16 1/3% c. 18 2/3% d. 22 1/3% Answer :B

Discussion

1099.	If one man or three women of five boys can do a piece of work in 46 days then how many days will one man, one woman and one boy together take to complete the same piece of work?
Answer» 30 days 32 days 35 days 40 DAUS SOLUTION :`1man + 1 women +1 boy = (5 + 5/3 + 1) boys = (23/3)` boys `therefore` Required NUMBER of days `=(5xx 46xx3) div 23 = 30` days

Discussion

1100.	In the given figure, AB and CD are two common to the two touching circle. If CD= 6 cm, then AB is equal to
Answer» 9 cm 15 cm 12 cm none of the above Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

If f(x)=(x)/(sqrt(1-x^2)) and g(x)=(x)/(sqrt(1+x^2)), then (fog)(x)​ =

Find the distance between two parallel lines 5x + 12y - 30 = 0 and 5x + 12y - 4 = 0

If (3x-(2)/(x))=5, then the value of (9x^(2)-(4)/(x^(2))) is :

What is the rate of simple interest at which Rs. 14,000 givesinterest of Rs. 1960 in two years ?

An article was sold at 20% profit. Had it purchased at Rs 20 less and sold at Rs 20 less there would have been profit of 10% more. Find C.P. of article?

If A = sqrt(2) , B = root(3)(3) and C = root(4)(4) then which of the relation is correct ?

A room is 19 m long and 3.50 m broad. What will be the cost of covering its floor with a carpet of 70 cm wide at 95 paise per metre ?

7, 77, 77, 777 div77 equals

By selling oranges at 32 a rupee, a man loses 40%. How many for a rupee should he sell in order to gain 20% ?

Solution of equation((x-b)(x-c))/( (a-b)(a -c))+( (x-c)(x-a))/((b-c)(b-a))+( (x-a)(x-b))/((c-a)(c-b)) = 1 is/are.

If xy= 16, find minimum value of x+y

Numberof hours and minutes from 6:14am to 8:02 pm on the same days is

If 3x+7y=75 and 5x-5y=25, what is the value of x+y

Twotangents T Pand T Qare drawnto a circle with centre Ofrom anexternal point T. Provethat /_P T Q=2/_O P Q.

What is the exact average of n,35, 39, 42,p and w?

The value of ""_(27)log_3 (81) is:

Total number of digits in the product of (4)^(1111) xx (5)^(2222) is ,

36.0001 + 5.9998 xx sqrt(?)= 108.0005

If In denotes the greatest integer lt nand (ru denotes the smallest integer gt n, where n is any real number, then (1(1)/(5))xx[1(1)/(5)]-(1(1)/(5))+[1(1)/(5)]+(1.5) is

If a+b+c= 0, then (a+b)/(c )= ?

The radius of the incircle of an equilateral Delta ABC of side 2sqrt(3) units is x cm. The value of x is :

The ratio of a two digit natural number to a number formed by reversing it digit is 4 : 7. Find the sum of all such possible numbers

A shopkeeper bought 72 oranges for 324. He sold 50 of them at rs 6 each and the remaining at 165. Find his profit.

x@y = (x + y)^2 x#y = (x-y)^2 Find the value of 12#(14@(12#13)):

A trapezium PQRS inscribes a circle which touches the circle at M, A, N, B, Radius of circle is 10 cm. The length of each non-parallel side is 21 cm. What is the perimeter of trapezium?

(sin(270^(@)+theta).cos(360^(@)+theta).tan(180^(@)+theta))/(cos(180^(@)+theta).sin(270^(@)-theta).cot(270^(@)+theta))=?

A ship 55 km from the shore springs a leak which admits 2 tonnes of water in 6 min . 80 tonnes of water would suffer to sink it, but the pumps can throw out 12 tonnes of water an hour. Find the average rate of sailing that it may just reach the shore as it begins to sink

Rs 10 is to be paid in 11 monthly installment. If each installment is of Rs. 1. Find the rate of interest per annum.

Find all the values of x that satisfy x^2-3|x|+2=0

In a 3 km race the speed of A and B are in the ratio of 6:5 and A wins by 10 seconds. What is the time taken by B to finish the race, Also to end the race in dead heat what per cent of total distance A should give the startup to B?

5 * 2 + 4 = ?.

A contract is to be completed in 92 days and 234 men set to work , each working 16h a day. After 66 days , 4/7 of the work is completed. How many additional men many be employed , so that the work may be completed in time , each man now working 18h a day ?

Find the product of 102030 xx 405060 xx 708090

The rate of interest on a sum of money is 4% per annum for the first 2 years, 6% per annum for the next 4 years and 8% per annum for the period beyond 6 years. if the simple interest accrued by the sum for a totalperiod of 9 years is Rs. 1120, then the sum is

The value of the expression 7777 + 7777 xx 7777 xx (5 div 77) xx (11 div 35) :

If log_(a) bc =x, log_(b) ca=y, log_( c)ab =z, prove that 1/(x+1) + 1/(y+1) + 1/(z+1)=1

If the average of the ages of Rakesh and Mohan is 15, average of the ages of Mohan and Ramesh is 12 and the average of the ages of Rakesh and Ramesh is 13, then the age of Mohan, is

Mallah can row 40 km upstream and 55 km downstream in 13 h and 30 km upstraem and 44 km downstream in 10 hours what is the speed of Mallah in still water?

A man spends (1)/(4)the of his income on food, (2)/(3)rd of it on house rent and the remaining which isRs 630 on other commodities. Find his house rent?

What will be the amount if a sum of Rs. 5000 is placed at compound interest for 3 years while rate of interest for the first, second and third years is 2%, 3% and 4% respectively?

If a,b,c gt 0, then (a )/(b +c) = (b)/( c +a) = (a)/(a +b) = ?

What percent of a day is 3 hours?

If one man or three women of five boys can do a piece of work in 46 days then how many days will one man, one woman and one boy together take to complete the same piece of work?

In the given figure, AB and CD are two common to the two touching circle. If CD= 6 cm, then AB is equal to

If f(x)=(x)/(sqrt(1-x^2)) and g(x)=(x)/(sqrt(1+x^2)), then (fog)(x) =