8677 + Interview Questions in Maths in Class 14 Page 75 InterviewSolution

3701.	Pipe A basically used as inlet pipe and pipe B is used as outlet pipe. Pipes A and B both are opened simultaneously, all the time. When pipe A fills the tank and B empty the tank, it will take double the time than when both the pipe, fill the tank. When pipe B is used for fillng the tank, its efficiency remains constant. What is the ratio of efficiencyof pipe A and pipe B respectively?
Answer» `3: 1` `5:2` `1 : 3` `3:2` ANSWER :A

Discussion

3702.	Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls. One ball is drawn at random from urn A and placed in urn B. Then, one ball is drawn at random from urn B and placed in urn A. If one ball is drawn at random from urn A, the probability that it is found to be red, is....
Answer» `32/65` `32/55` `23/55` `56/65` ANSWER :B

Discussion

3703.	A square paper is cut into smaller pieces such that each piece is exactly a square, not necessarily of the equal size. From each such square a circle of the largest possible area is cut out. Find the ratio of the area of all the possible circles to the area of the original square.
Answer» A) 1:1 B) `pi:2` C) `pi:4` D) DATA insufficient Answer :C

Discussion

3704.	Reshmi can do a piece of work in 16 days. Ravina can do the same work in 12 (4)/(5)days , while gitika can do it in 32 days. All of themstarted to work together but reshmi leaves after 4 days. Ravina leaves the job 3 days before the completion of the work. how long would the work last ?
Answer» 9 DAYS 6 days 16 days 5 days ANSWER :A

Discussion

3705.	The number of zeros at the end of 1^(99) xx 2^(98) xx 3^(97) xx…99^(1) is:
Answer» 1100 1111 1099 none of these ANSWER :A

Discussion

3706.	The value of x satisfying the equation sinx+(1)/(sinx)=(7)/(2sqrt(3)) is given by -
Answer» `10^@` `30^@` `45^@` `60^@` ANSWER :D

Discussion

3707.	Type V: O is the center of the circle of radius 5cm. T is a point such that OT=13cm and OT intersects the circle at E . If AB is the tangent to the circle at E; find the length of AB.
Answer» `(10)/(3)` `(20)/(3)` `(16)/(3)` Cannot be DETERMINED ANSWER :B

Discussion

3708.	A man bought a buffalo and a cow for Rs. 2600. He sold the buffalo at a profit of 25% and the cow at aprofit of 20%. In this way, his total profit was.23 1/13 %Find the cost price of the buffalo and cow.
Answer» ANSWER :`B to RS 1600 , C to Rs 1000`

Discussion

3709.	If cottheta+tantheta=xand sectheta-costheta=y, then
Answer» 4 3 2 1 Answer :A

Discussion

3710.	ABC is triangle right angled at B. If AB = 6 cm and BC= 8 cm, then what is the length of the circum- radius of theDeltaABC ?
Answer» 10 cm 7 cm 6 cm 5 cm Answer :D

Discussion

3711.	The rate of simple interest in two banks A and B are in the ratio 5:4 . A person wants to deposit his total savings in two banks in such a way that he received equal half-yearly interest from both. He should deposit the savings in the banks A and B in the ratio
Answer» ANSWER :`4:2`

Discussion

3712.	In a class of 65 students and 4 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets were there?
Answer» 104 949 897 845 Solution :

Discussion

3713.	There are two circle . The length of arc makeangle at the centre 60^(@) and 75^(@) . If the length of arc is same then findthe ratio of their radius.
Answer» ANSWER :`(5)/(4)`

Discussion

3714.	sin^(6)A+cos^(6)A is equal to
Answer» `1-3SIN^(2)ACOS^(2)A` `3sin^(2)Acos^(2)A-1` `1+3sin^(2)Acos^(2)A` 1 Answer :A

Discussion

3715.	Rs. 3500 was lent partly @ 4% and partly @ 6% SI. The total interest received after 3 years is 498. What is the amount lent @4% SI ?
Answer» ₹ 1300 ₹ 1800 ₹ 200 ₹ 2200 Answer :D

Discussion

3716.	Solve the following expressions . (243)^(4//5)
Answer» ANSWER :`81`

Discussion

3717.	6 men and 9 women and 5 children can do a work in 14 days. In how manuy days can 12 men and 3 women and 5 children do the same work ? A. 20 men and 30 women can do the same work in 5 days. B. Work done by 2 men is equal to 3 women. C. 6 childrren can do two-thirds of the same work in 28 days.(a) Any one of them(b) Only C(c) C and either A or B(d) Any two of them
Answer» Any one of them Only C C and either A or B Any two of them Solution :From A and C we can determine the value ratio of EFFICIENCY between men, WOMEN and children from A & B we can also determine the value of ratio of men, women and children. We an CALCULATE the ANSWER from B and C.

Discussion

3718.	If a sum of Rs. 13040 is to paid back in two equal annual installments at 3(3)/(4)% per annum, what is the amount of each installment?
Answer» ANSWER :RS. 6889

Discussion

3719.	Some articles are bought in the range of Rs 120 to Rs 200 and sold out in the range of Rs 250 to Rs 320 . Find maximum profit of such 40 articles ?
Answer» ANSWER :RS. 8000

Discussion

3720.	The value of (cot^(n)29^(@)-cot^(n)61^(@))/(tan^(n)61^(@)-tan^(n)29^(@))=?
Answer» 5 7 1 3 Answer :C

Discussion

3721.	Find the inradius of a Delta whose vertices (0,0) (0,3) and (4,0)
Answer» ANSWER :(1,1)

Discussion

3722.	If n is always a natural number, how many terms in the following sequence are integers? 210, 84, (105)/2,…,(420)/(3n-1)
Answer» A)3 B)5 C)6 D)NONE of these Answer :C

Discussion

3723.	If books bought at price from Rs. 150 to Rs. 300 are sold at prices ranging from Rs. 250 to Rs. 350. What is the greatest possible profit that can made in selling 15 books?
Answer» ANSWER :RS. 3000

Discussion

3724.	For x in N, x gt 1, if P=log_(x)(x+1) and Q = log_(x+1) (x+2) then which one of the following is correct?
Answer» `PltQ` P=Q `PgtQ` can't be determined Answer :C

Discussion

3725.	If H.C.F. of x and y is z, then H.C.F. of (x)/(z)and(y)/(z) is :
Answer» x z y 1 Answer :D

Discussion

3726.	ABCD is a rhombus. A line passing through C cuts extended line AD andAB at Q and P respectively. If QD=1/2AB. Then find the ratio AB to PB.
Answer» ANSWER :`1 : 3 `

Discussion

3727.	Three numbers which are co-prime to one an- other are such that the product of the first two is 475 and that of the last two numbers is 1075. Find the sum of the three numbers.
Answer» 75 78 87 89 Answer :C

Discussion

3728.	At what time between 4 o clock and 5 o clock will the hands of a clock be together
Answer» ANSWER :`=21(9)/(11)` MIN

Discussion

3729.	The ratio of A and B is 2: 3 and the ratio of B and C is 4:5. Then find A^(2):B^(2): BC.
Answer» `15:20:25` `8:24:32` `16:36:45` `9:18:27` ANSWER :C

Discussion

3730.	6.39 xx 128.948 + 5.215 +12.189 + 25.056 = ?
Answer» a. 800 b. 900 C. 866 d. 950 Answer :C

Discussion

3731.	Find the number that must be subtracted from the terms of the ratio 15 and 19 to make it equal to 3 : 4.
Answer» 2 3 4 5 Answer :B

Discussion

3732.	ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. What is the loss incurred by ITC?s
Answer» 0.01 0.02 0.04 0 Answer :C

Discussion

3733.	The ratio of Varun's age and his mother's age is 5:11. The difference is 18 years. The ratio of their ages after 5 years will be:
Answer» 0.83263888888889 0.085416666666667 37:75 0.42986111111111 Solution :Let their AGES be 5x and 11x 11x-5x=18 `Leftrightarrowx x=3` So their PRESENT ages are 15 and 33 YEARS. Therefore, RATIO of their ages after 5 years =20:38=10:19

Discussion

3734.	If sintheta+sin^(2)theta=1 then find cos^(12)theta+3cos^(10)theta+3cos^(8)theta+cos^(6)theta+4=?
Answer» ANSWER :5

Discussion

3735.	X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :
Answer» A) 20000 B) 40000 C) 60000 D) 80000 Answer :`16(2)/( 3) `YEARS

Discussion

3736.	A box contains 24 marbles, some are green and others are blue, if a marble is drawn at random from the box, the probablity that it is green is 2//3. The number of blue balls in the box is
Answer» a. 13 b. 12 c. 16 d. 0.08 Answer :D

Discussion

3737.	Point A divides segment BC in the ratio 4 : 1.Co - ordiantes of B are (6, 1) and C are ((7)/(2),6).What are the co-ordinates of point A ?
Answer» ANSWER :`m(X,y)=((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))`

Discussion

3738.	Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection wasRs 3042. The number of members present in the party was
Answer» 2 32 40 39 Answer :D

Discussion

3739.	The number of different seven digit numbers that can be written using only three digits 1, 2 & 3 under the condition that the digit 2 occurs exactly twice in each number is-
Answer» a. 2412 b. 120 c. 672 d. NONE of these Answer :A

Discussion

3740.	A bag contains Rs. 180. In which Rs. 1, 50p, 25p coins. Their ratio are 2 : 3:4. Then find number of all types of coins separately.
Answer» `40,60,80` `160,120,180` `80,120,160` `80,120,150` ANSWER :C

Discussion

3741.	When the sum of n digits of an n digit number is subtracted from the number itself, where the number must be atleast two digit number, then the correct statement is :
Answer» the DIFFERENCE is a prime number the RESULTANT value is perfect square the resultant value is an odd number the resultant value is a MULTIPLE of 9 Answer :D

Discussion

3742.	In the following quadrilateral ABCD, the four mid-points P,Q,R,S are joined in such a way that the quadrilateral is divided into six parts. The ratio of the quadrilaterals square ASOP, square POQB, square ORCQ, square SDRO is 4:5:7:6 and the ratio of triangle ASP and triangleRCQ is 2:5. If S is joined to R and P is joined to Q, find the ratio of square PQRS and square ABCD.
Answer» `1:2` `5:11` `4:11` NONE of these Answer :C

Discussion

3743.	Twodiceare rolledsimultaneously . Find theprobability of getting a totalof9 or11 .
Answer» `2/99` `20/99` `1/6` `1/10` ANSWER :C

Discussion

3744.	A rectangularlawnis surrounded by a path of width 2 m on all sides . Now if the length of the lawn is reduced by 2m the lawn becomes a square lawn and the area of path becomes 13/11 times, what is the length of the original lawn ?
Answer» a. 8 m B. 9 m c. 10 m d. 12 m ANSWER :C

Discussion

3745.	Lieutenant Kalia when arranged all his 1500 solidiers in such a way that the number of soldiers in a line were the same as there were the number of lines. So he was left with 56 soldiers , who were not a part of this arrangment. The number of lines in this arrangement is :
Answer» 44 36 38 none of these Answer :C

Discussion

3746.	When an integer K is divided by 3, the remainder is 1, and when K+ 1 is divided by 5, the remainder is 0. Of the following, a possible value of K is
Answer» 62 63 64 65 Answer :C

Discussion

3747.	Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ?
Answer» A) RS. 7500 B) Rs. 4520 C) Rs. 8750 D) Rs. 6350 Answer :30 YEARS

Discussion

3748.	Three boys and three girls are to be seated around a table, in a circle. Among them, the boy X does not want any girl neighbour and the girls Y does not want any boy neighbour. The number of such arrangements possible is
Answer» A. 4 B. 6 C. 8 D. NONE of these Answer :A

Discussion

3749.	Solve the following expression (4a+2b-3c)+(3a-2b+4c)
Answer» SOLUTION :(4a+2b-3c)+(3a-2b+4c)=(4a+3a)+(2b-2b)+(-3c+4c)=7a+c

Discussion

3750.	12x^(2)+29x+14=0 y^(2) + 9y+18 = 0
Answer» `x GT y` ` x lt y` ` x GE y` ` x le y` Solution :` 12X^(2) + 29x+14 = 0` ` x =- 1.75, - 0.6` ` y^(2) + 9y + 18 = 0` ` y =- 6, -3`

Discussion

Explore topic-wise InterviewSolutions in .

A square paper is cut into smaller pieces such that each piece is exactly a square, not necessarily of the equal size. From each such square a circle of the largest possible area is cut out. Find the ratio of the area of all the possible circles to the area of the original square.

Reshmi can do a piece of work in 16 days. Ravina can do the same work in 12 (4)/(5)days , while gitika can do it in 32 days. All of themstarted to work together but reshmi leaves after 4 days. Ravina leaves the job 3 days before the completion of the work. how long would the work last ?

The number of zeros at the end of 1^(99) xx 2^(98) xx 3^(97) xx…99^(1) is:

The value of x satisfying the equation sinx+(1)/(sinx)=(7)/(2sqrt(3)) is given by -

Type V: O is the center of the circle of radius 5cm. T is a point such that OT=13cm and OT intersects the circle at E . If AB is the tangent to the circle at E; find the length of AB.

A man bought a buffalo and a cow for Rs. 2600. He sold the buffalo at a profit of 25% and the cow at aprofit of 20%. In this way, his total profit was.23 1/13 %Find the cost price of the buffalo and cow.

If cottheta+tantheta=xand sectheta-costheta=y, then

ABC is triangle right angled at B. If AB = 6 cm and BC= 8 cm, then what is the length of the circum- radius of theDeltaABC ?

The rate of simple interest in two banks A and B are in the ratio 5:4 . A person wants to deposit his total savings in two banks in such a way that he received equal half-yearly interest from both. He should deposit the savings in the banks A and B in the ratio

In a class of 65 students and 4 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 40% of the total number of students. How many sweets were there?

There are two circle . The length of arc makeangle at the centre 60^(@) and 75^(@) . If the length of arc is same then findthe ratio of their radius.

sin^(6)A+cos^(6)A is equal to

Rs. 3500 was lent partly @ 4% and partly @ 6% SI. The total interest received after 3 years is 498. What is the amount lent @4% SI ?

Solve the following expressions . (243)^(4//5)

If a sum of Rs. 13040 is to paid back in two equal annual installments at 3(3)/(4)% per annum, what is the amount of each installment?

Some articles are bought in the range of Rs 120 to Rs 200 and sold out in the range of Rs 250 to Rs 320 . Find maximum profit of such 40 articles ?

The value of (cot^(n)29^(@)-cot^(n)61^(@))/(tan^(n)61^(@)-tan^(n)29^(@))=?

Find the inradius of a Delta whose vertices (0,0) (0,3) and (4,0)

If n is always a natural number, how many terms in the following sequence are integers? 210, 84, (105)/2,…,(420)/(3n-1)

If books bought at price from Rs. 150 to Rs. 300 are sold at prices ranging from Rs. 250 to Rs. 350. What is the greatest possible profit that can made in selling 15 books?

For x in N, x gt 1, if P=log_(x)(x+1) and Q = log_(x+1) (x+2) then which one of the following is correct?

If H.C.F. of x and y is z, then H.C.F. of (x)/(z)and(y)/(z) is :

ABCD is a rhombus. A line passing through C cuts extended line AD andAB at Q and P respectively. If QD=1/2AB. Then find the ratio AB to PB.

Three numbers which are co-prime to one an- other are such that the product of the first two is 475 and that of the last two numbers is 1075. Find the sum of the three numbers.

At what time between 4 o clock and 5 o clock will the hands of a clock be together

The ratio of A and B is 2: 3 and the ratio of B and C is 4:5. Then find A^(2):B^(2): BC.

6.39 xx 128.948 + 5.215 +12.189 + 25.056 = ?

Find the number that must be subtracted from the terms of the ratio 15 and 19 to make it equal to 3 : 4.

ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. What is the loss incurred by ITC?s

The ratio of Varun's age and his mother's age is 5:11. The difference is 18 years. The ratio of their ages after 5 years will be:

If sintheta+sin^(2)theta=1 then find cos^(12)theta+3cos^(10)theta+3cos^(8)theta+cos^(6)theta+4=?

X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :

A box contains 24 marbles, some are green and others are blue, if a marble is drawn at random from the box, the probablity that it is green is 2//3. The number of blue balls in the box is

Point A divides segment BC in the ratio 4 : 1.Co - ordiantes of B are (6, 1) and C are ((7)/(2),6).What are the co-ordinates of point A ?

Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection wasRs 3042. The number of members present in the party was

The number of different seven digit numbers that can be written using only three digits 1, 2 & 3 under the condition that the digit 2 occurs exactly twice in each number is-

A bag contains Rs. 180. In which Rs. 1, 50p, 25p coins. Their ratio are 2 : 3:4. Then find number of all types of coins separately.

When the sum of n digits of an n digit number is subtracted from the number itself, where the number must be atleast two digit number, then the correct statement is :

Twodiceare rolledsimultaneously . Find theprobability of getting a totalof9 or11 .

A rectangularlawnis surrounded by a path of width 2 m on all sides . Now if the length of the lawn is reduced by 2m the lawn becomes a square lawn and the area of path becomes 13/11 times, what is the length of the original lawn ?

Lieutenant Kalia when arranged all his 1500 solidiers in such a way that the number of soldiers in a line were the same as there were the number of lines. So he was left with 56 soldiers , who were not a part of this arrangment. The number of lines in this arrangement is :

When an integer K is divided by 3, the remainder is 1, and when K+ 1 is divided by 5, the remainder is 0. Of the following, a possible value of K is

Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ?

Three boys and three girls are to be seated around a table, in a circle. Among them, the boy X does not want any girl neighbour and the girls Y does not want any boy neighbour. The number of such arrangements possible is

Solve the following expression (4a+2b-3c)+(3a-2b+4c)

12x^(2)+29x+14=0 y^(2) + 9y+18 = 0