8677 + Interview Questions in Maths in Class 14 Page 171 InterviewSolution

8501.	((1)/(x+1)+(1)/(x+5))=((1)/(x+2)+(1)/(x+4)):
Answer» 7 `-3` `-5` 4 Answer :B

Discussion

8502.	In 6 litre mixture of spirit and water there is 15% water. In this mixture 4 litre of another mixture contains 10% water is mixed. After this1.5 litre of spirit and 0.5 litre of water is mixed in this mixture. Find the percentage of water in the final mixture.
Answer» ANSWER :0.15

Discussion

8503.	When do the two hands of a clock of just after 3 pm make 30^(@) angle between them?
Answer» `3:15:00` `3:10:54` `3:01:59` NONE of these Answer :B

Discussion

8504.	Two runner start runing together for a certain distance one at 5 km/h and another at 3 km/h the former arrives one and half an hour before the latter.the distance( km)
Answer» 12 20 25 36 Answer :B

Discussion

8505.	A,O,B are three points on a line segment and C is a point not lying on AOB. If angleAOC = 40^(@) and OX, OY are the internal and external bisectors of angleAOC respectively, then angleBOY is
Answer» `70^(@)` `80^(@)` `72^(@)` `68^(@)` ANSWER :A

Discussion

8506.	Initially Ms. Rakhi Sawant has Rs. 200 in her wallet then she increased it by 20%. Once again she increased her amount by 25%. The final value money in her wallet will be how much per cent greater than the initial amount.
Answer» Solution :`200 overset(+20%)RARR 240 overset(+25%)rarr300` So the tequired `%` increase =`(300-200)/200 xx 100 = 50%`

Discussion

8507.	I is the incentre of Delta ABC, angle ABC=60^(@) and angle ACB=50^(@). Then find angle BIC.
Answer» ANSWER :`120^(@)`

Discussion

8508.	If the yield of rice and wheat is 9000 tonnes, then the yield of excess product of others in composition with sugarcane is
Answer» 1000 TONNES ) 2000 tonnes 3000 tonnes 4000 tonnes Answer :A

Discussion

8509.	Total number of natural numbers being the perfect square whose root is equal to the sum of the digits of the perfect square is :
Answer» 0 1 2 12 Answer :C

Discussion

8510.	how many different nine digit numbers can be formed fromthe number 22 33 55 888 by rearranging its digits so that the odd digits occupy even positions:
Answer» 60 75 88 77 Answer :A

Discussion

8511.	The third term of an AP is 1/5 and the 5th term is 1/3 find the sum of 15 terms of the AP:
Answer» `(1/15)` `(3/5)` 8 15 Answer :C

Discussion

8512.	If the measure of each interior angle of a regular polygon be 144 degree the number of sides of the polygon is:
Answer» a.30 B.20 C.10 d.noneof(a) ,(B ) ,(c ) ANSWER :B

Discussion

8513.	A container is filled with the mixture of milk and water. The ratio of milk and water is same. Bobby and Sunny increases the concentration of 60%. Bobby makes it by adding the milk and Sunny makes it by replacing the mixture with milk. What is the percentage of milk added by Bobby to that of milk replaced by Sunny:
Answer» a. 1 b. 1.2 c. 1.3333 d. NONE of these Answer :D

Discussion

8514.	PQRS is a quadrilateral which is formed by joining the mid-points of a quadrilateral ABCD, such that angle A =75^(@), angle B = 95^(@), angle C =110^(@).If anglePQR = 90^(@), what is the value of anglePSR ?
Answer» `90^@` `110^@` `60^@` `75^@` ANSWER :A

Discussion

8515.	A man lost half of his initial amount in the gambling after playing 3 rounds. The rule of gambling is that if he wins he will receive Rs. 100, but he has to give 50% of the total amount after each round. Luckily he won all the three rounds. The initial amount with which he had started the gambling was :
Answer» `500/3` `700/3` 300 600 Answer :B

Discussion

8516.	6 months a go the present age of the student of class 10th was 14 years 6 months hence the age of the same students will be :
Answer» 15 years 15(1/2) years 20 years none of these Solution :SINCE the time difference between two dates is 1 year hence the average AGE will be increased by 1 year . THUS the average age of the class 6 MONTHS hence will be 15 years.

Discussion

8517.	A bus travels 1300 km with an average speed of 65 km/h. If it stops at 8 junctions it takes exactly 1 day to travel the whole distance. Find out the time duration it stops for at each stop.
Answer» ANSWER : 30 MIN.

Discussion

8518.	Krishna can do a work in 10 days while Mohan can do the same work in 20 days. They started work together. After 3 days Krishna left the work and Mohan completed it. For how many days Mohan worked alone more than the number of days required when both worked together ?
Answer» `4 1/3` `3 1/4` `2 3/5` `3 2/3` ANSWER :A

Discussion

8519.	A man can row downstream at 12 km/h and upstream at 8 kn/h what is the speed of man in still water?
Answer» 12 km/h 10 km/h 8 km/h 9 km/h Answer :B

Discussion

8520.	The smallest positive integer n forwhich ((1 + i)/(1 - i))^(n) = 1 is:
Answer» 2 4 6 8 Answer :B

Discussion

8521.	What is the square root of the sum of first 20 odd natural numbers?
Answer» 10 30 20 40 Answer :D

Discussion

8522.	Find (a^(4) +b^(4))/(a^(2)-ab sqrt2 + b^(2)), if x= a^(2) + b^(2) and y= ab sqrt2
Answer» `x+y` `x-2y` `x-y` `x+2y`

Discussion

8523.	Find the total number of factors of 1680.
Answer» 40 50 60 30 Answer :A

Discussion

8524.	log_a(mn) is equal to :
Answer» `nlog_a(m)` `log_amxxlog_an` `log_am+log_an` `log_am-log_an` ANSWER :C

Discussion

8525.	An unscrupulous trader steals 4 bananas for every dozen whenever he purchases them from a farmer and his customers steal 2 bananas for every dozen whenever they parchase the bananas from this trader. What is the profit or loss percentage of the trader, if he sells the bananas at the price that is offered by the farmer?
Answer» 16.67 loss 22.22 profit 14.28 profit 12.5 loss Answer :C

Discussion

8526.	If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0has a nonzero solution, then the possible value of kare-1,2b. 1,2c. 0,1d. -1,1
Answer» (-1),2 1,2 0,1 (-1),1 Answer :D

Discussion

8527.	(16)/(23) xx ( 47)/( 288) xx ( 92)/( 141) = ?
Answer» `(4)/( 27)` `( 2)/( 27)` `( 2)/( 29)` `( 3)/( 28)` Answer :B

Discussion

8528.	After adding 40% profit on its manufacturing cost a seller decided to sell his product for Rs 700. As selling of products was very low he decided to sell products at the profit of 10% . Find its new S.P. ?
Answer» ANSWER :RS. 550

Discussion

8529.	A salesman is allowed 9.25 %commission on the sale made by him up to Rs. 20000 and additional bonus of 0.75 % on sale made over Rs. 20000. If his total earning is Rs. 6170. Find the total sales made by him?
Answer» ANSWER : RS. 63200

Discussion

8530.	A committee of 5 members is going to be formed from 3 trainees, 4 professors and 6 research associates. How many ways can they be selected, if there are 4 professors and 1 research associate or 3 trainees and 2 professors?
Answer» 12 13 24 52 Answer :A

Discussion

8531.	A committee of 5 members is going to be formed from 3 trainees, 4 professors and 6 research associates. How many ways can they be selected, ifin committee, there are 2 trainees and 3 research associates?
Answer» a )15 b ) 45 C )60 d)9 Answer :C

Discussion

8532.	What is the minimum value of \|c\|, if the lines y=mx+4, x=m+cand y=3 are concurrent ?
Answer» 0 1 2 3 Answer :C

Discussion

8533.	They are two places X and Y 200 km apart from each other initially two person P and Q both are at 'X'.The speed of P is 20 km/h and speed of Q is 30 km/h later on they starts to move to and fro between X and Y.if they meet second time at each other at a point N somewhere between X and Y the the distance travelled by Q is:
Answer» 240 km 480 km 360 km none of these Answer :B

Discussion

8534.	They are two places X and Y 200 km apart from each other initially two person P and Q both are at 'X'.The speed of P is 20 km/h and speed of Q is 30 km/h later on they starts to move to and fro between X and Y.if they meet first time at a point M somewherre between X and Y then what is the distance travelled by P?
Answer» after 12 hours after 24 hours after 30 hours after 8 hours Answer :D

Discussion

8535.	If the simple interest on Rs. 1400 be more than the interset on Rs. 1000 by Rs. 60 in 5 years, find the rate percent per annum.
Answer» ANSWER :0.03

Discussion

8536.	If sec^(2)theta+tan^(2)theta=(7)/(12), then sec^(4)theta-tan^(4)theta=?
Answer» `(7)/(12)` `(1)/(2)` `(5)/(12)` 1 Answer :A

Discussion

8537.	if20straightlinebedrawnin a plane, notwoof thembeingparalleland nothreethemconcurrent, how manypointsof intersectionwilltherebe ?
Answer» 95 380 400 190 Answer :D

Discussion

8538.	The sum of all possible factors of 500 (incliding 1 and 500 themselves) equals :
Answer» 784 980 1092 1350 Answer :C

Discussion

8539.	The productof two numbers is 4107. If the H.C.F. of these numbers is 37, then thegreater number is(a)101 (b) 107 (c) 111 (d) 185
Answer» 185 111 107 101 Answer :B

Discussion

8540.	The total number of six-digit natural numbers thatcan be made with the digits 1, 2, 3, 4, if all digits are to appear in the samenumber at least once isa. 1560b. 840c. 1080d. 480
Answer» 740 1830 1560 none of these Answer :C

Discussion

8541.	A big cube of side 8 cm is formed by rearranging together 64 small but identical cubeseach of side 2 cm . Further , if the corner cubes in the topmost layer of the big cube are removed , what is the change in total surface area of the big cube ?
Answer» `16 CM^(2)`, decreases `48 cm^(2)`, decreases `32 cm^(2)`, decreases remains the same as previously ANSWER :D

Discussion

8542.	For every natural number a, b, c and x, if (x^a+1)(x^b+1)(x^c+1) is the factor of S=1+x+x^2+x^3+...+x^111 what is the HCF of a, b and c
Answer» 7 3 14 can't be determined Answer :D

Discussion

8543.	A company produces three products. The products are processed on 3 different machines. The time required to manufacture one unit of each the three products and the daily capacity of three machines are given in the table below : How many units of product 1 can be produced in one day?
Answer» 160 205 225 64 Answer :A

Discussion

8544.	A three digit number is such that this number itself is divisible by the sum of its digits. The sum of hundreds and unit digit is 6 while the sum of the tens and unit digit is 5. What is the ratio of unit and tens digit :
Answer» 0.043055555555556 0.085416666666667 0.666666666 0.088194444444444 Answer :B

Discussion

8545.	Number of divisors of the form 4n + 2, n ge 0 which can divide 240 is :
Answer» 6 4 3 12 Answer :B

Discussion

8546.	If (x+ y-z -1)^(2) + (z+ x-y - 2)^(2)+ (z+y-x-4)^(2)=0 find x+ y+z=?
Answer» ANSWER :7

Discussion

8547.	A tent is in the form of right circular cone 10.5 m high , the diameterof the base being 13 m . If 8 men are in the tent, find the average number of cubicmetres of air space per man :
Answer» `32""(3)/(58) ` `59.75` `36""(9)/(13) ` `58""(3)/(32)` Answer :D

Discussion

8548.	A naughty bird is sitting on top of a car. It sees another car approaching it at a distance of 12 km. The speed of the two cars is 60 km/hr each. The bird starts flying from the first car and moves towards the second car, reaches the second car and comes back to the first car and so on. If the speed at which the bird flies is 120 km/hr. The total distance travelled by the bird. (Assume that the two cars have a crash)
Answer» ANSWER : 12 KM

Discussion

8549.	Two vessels contain mixture of milk and water in the ratio of 1:3 and 3:5to be mixed to get a new mixture in which the ratio of milk to water is 1 : 2. these are ?
Answer» ANSWER :`13:8`

Discussion

8550.	Two vessels contain mixture of milk and water in the ratio of 1:3 and 3:5to be mixed to get a new mixture in which the ratio of milk to water is 1 : 2. In what ratio should quantities of mixtures be taken from vessels.
Answer» ANSWER :`1:2`

Discussion

Explore topic-wise InterviewSolutions in .

((1)/(x+1)+(1)/(x+5))=((1)/(x+2)+(1)/(x+4)):

In 6 litre mixture of spirit and water there is 15% water. In this mixture 4 litre of another mixture contains 10% water is mixed. After this1.5 litre of spirit and 0.5 litre of water is mixed in this mixture. Find the percentage of water in the final mixture.

When do the two hands of a clock of just after 3 pm make 30^(@) angle between them?

Two runner start runing together for a certain distance one at 5 km/h and another at 3 km/h the former arrives one and half an hour before the latter.the distance( km)

A,O,B are three points on a line segment and C is a point not lying on AOB. If angleAOC = 40^(@) and OX, OY are the internal and external bisectors of angleAOC respectively, then angleBOY is

Initially Ms. Rakhi Sawant has Rs. 200 in her wallet then she increased it by 20%. Once again she increased her amount by 25%. The final value money in her wallet will be how much per cent greater than the initial amount.

I is the incentre of Delta ABC, angle ABC=60^(@) and angle ACB=50^(@). Then find angle BIC.

If the yield of rice and wheat is 9000 tonnes, then the yield of excess product of others in composition with sugarcane is

Total number of natural numbers being the perfect square whose root is equal to the sum of the digits of the perfect square is :

how many different nine digit numbers can be formed fromthe number 22 33 55 888 by rearranging its digits so that the odd digits occupy even positions:

The third term of an AP is 1/5 and the 5th term is 1/3 find the sum of 15 terms of the AP:

If the measure of each interior angle of a regular polygon be 144 degree the number of sides of the polygon is:

PQRS is a quadrilateral which is formed by joining the mid-points of a quadrilateral ABCD, such that angle A =75^(@), angle B = 95^(@), angle C =110^(@).If anglePQR = 90^(@), what is the value of anglePSR ?

6 months a go the present age of the student of class 10th was 14 years 6 months hence the age of the same students will be :

A bus travels 1300 km with an average speed of 65 km/h. If it stops at 8 junctions it takes exactly 1 day to travel the whole distance. Find out the time duration it stops for at each stop.

Krishna can do a work in 10 days while Mohan can do the same work in 20 days. They started work together. After 3 days Krishna left the work and Mohan completed it. For how many days Mohan worked alone more than the number of days required when both worked together ?

A man can row downstream at 12 km/h and upstream at 8 kn/h what is the speed of man in still water?

The smallest positive integer n forwhich ((1 + i)/(1 - i))^(n) = 1 is:

What is the square root of the sum of first 20 odd natural numbers?

Find (a^(4) +b^(4))/(a^(2)-ab sqrt2 + b^(2)), if x= a^(2) + b^(2) and y= ab sqrt2

Find the total number of factors of 1680.

log_a(mn) is equal to :

If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0has a nonzero solution, then the possible value of kare-1,2b. 1,2c. 0,1d. -1,1

(16)/(23) xx ( 47)/( 288) xx ( 92)/( 141) = ?

After adding 40% profit on its manufacturing cost a seller decided to sell his product for Rs 700. As selling of products was very low he decided to sell products at the profit of 10% . Find its new S.P. ?

A salesman is allowed 9.25 %commission on the sale made by him up to Rs. 20000 and additional bonus of 0.75 % on sale made over Rs. 20000. If his total earning is Rs. 6170. Find the total sales made by him?

A committee of 5 members is going to be formed from 3 trainees, 4 professors and 6 research associates. How many ways can they be selected, if there are 4 professors and 1 research associate or 3 trainees and 2 professors?

A committee of 5 members is going to be formed from 3 trainees, 4 professors and 6 research associates. How many ways can they be selected, ifin committee, there are 2 trainees and 3 research associates?

What is the minimum value of |c|, if the lines y=mx+4, x=m+cand y=3 are concurrent ?

If the simple interest on Rs. 1400 be more than the interset on Rs. 1000 by Rs. 60 in 5 years, find the rate percent per annum.

If sec^(2)theta+tan^(2)theta=(7)/(12), then sec^(4)theta-tan^(4)theta=?

if20straightlinebedrawnin a plane, notwoof thembeingparalleland nothreethemconcurrent, how manypointsof intersectionwilltherebe ?

The sum of all possible factors of 500 (incliding 1 and 500 themselves) equals :

The productof two numbers is 4107. If the H.C.F. of these numbers is 37, then thegreater number is(a)101 (b) 107 (c) 111 (d) 185

The total number of six-digit natural numbers thatcan be made with the digits 1, 2, 3, 4, if all digits are to appear in the samenumber at least once isa. 1560b. 840c. 1080d. 480

A big cube of side 8 cm is formed by rearranging together 64 small but identical cubeseach of side 2 cm . Further , if the corner cubes in the topmost layer of the big cube are removed , what is the change in total surface area of the big cube ?

For every natural number a, b, c and x, if (x^a+1)(x^b+1)(x^c+1) is the factor of S=1+x+x^2+x^3+...+x^111 what is the HCF of a, b and c

A company produces three products. The products are processed on 3 different machines. The time required to manufacture one unit of each the three products and the daily capacity of three machines are given in the table below : How many units of product 1 can be produced in one day?

A three digit number is such that this number itself is divisible by the sum of its digits. The sum of hundreds and unit digit is 6 while the sum of the tens and unit digit is 5. What is the ratio of unit and tens digit :

Number of divisors of the form 4n + 2, n ge 0 which can divide 240 is :

If (x+ y-z -1)^(2) + (z+ x-y - 2)^(2)+ (z+y-x-4)^(2)=0 find x+ y+z=?

A tent is in the form of right circular cone 10.5 m high , the diameterof the base being 13 m . If 8 men are in the tent, find the average number of cubicmetres of air space per man :

Two vessels contain mixture of milk and water in the ratio of 1:3 and 3:5to be mixed to get a new mixture in which the ratio of milk to water is 1 : 2. these are ?

Two vessels contain mixture of milk and water in the ratio of 1:3 and 3:5to be mixed to get a new mixture in which the ratio of milk to water is 1 : 2. In what ratio should quantities of mixtures be taken from vessels.