8677 + Interview Questions in Maths in Class 14 Page 113 InterviewSolution

5601.	Rs. 180 are divided into 66 male and female. The ratio of total amount given to male and female is 5 : 4. The ratio of amount given to one male and female is 3 : 2.Find the number of males and females.
Answer» 20 24 30 36 Answer :C

Discussion

5602.	From a circular sheet of paperof radius 25 cm, a sector area 4% is removed. If the remaining part is used to make a conical surface , then the ratio of the radius and height of the cone is :
Answer» 0.68402777777778 0.39236111111111 0.3 24:7 Answer :D

Discussion

5603.	A man has given one-fourth part of his property to his daughter, half part to his sons and one-fifth part given as charity. How much part of his property he has given?
Answer» `(1)/(20)` `(19)/(20)` `(1)/(10)` `(9)/(10)` Answer :B

Discussion

5604.	Cost of packing of mangoes is 40%cost of fresh mangoes. Price of mangoes is increased by 30 %but the cost of packing of mangoes is decreased by 50% . If cost of packed mangoes is equal to sum of cost of fresh mangoes and packing of mangoes then, find what is the percentage change in the cost of packed mangoes.
Answer» ANSWER :`(15)/(7)%`

Discussion

5605.	Nutan invest rs. 22400 on S.I. at the rate of 12% p.a. How much amount she will get after seven year?
Answer» a. 41,116 B. 41,216 c. 42,116 d. 42,216 Answer :B

Discussion

5606.	What is the quotient, when LCM is divided by the HCF of geometric progression with first term a and common ratio r?
Answer» `R^(n-1)` `r^n` `a^-1 r^(n-2)` `(r^n -1)` ANSWER :A

Discussion

5607.	111111111111 is divisible by :
Answer» 3 and 37 only 3, 37 and 11 only 3, 11, 37, and 111 only 3, 11, 37, 111 and 1001 Answer :D

Discussion

5608.	If alpha and beta are the roots of the equation x^(2)-3x+2=0, Find the quadratic equation whose roots are -alpha and -beta:
Answer» `px^2-(5p+7q)X-(p^6q^6+4p^2q^6)=0` `x^2-(p^5-5p^3q+5pq^2)x+(p^6q^2-5p^4q^3+4p^2q^4)=0` `x^2-(p^3q-5p^5+p^4q)-(P^6q^2-5p^2q^6)=0` all of the above Answer :B

Discussion

5609.	A man purchases 5 horses and 10 cows for Rs 10000. He sells the horses at 15% profit and the cows at 10% loss. Thus he gets Rs 375 as profitFind the cost of 1 horse and 1 cow separately.
Answer» ANSWER :RS. 1100, Rs. 450

Discussion

5610.	A circle is inscribed in Delta ABC having sides 8 cm, 10 cm and 12 cm. A circle touches the sides AB, BC and CA at D, E and F. Find AD
Answer» 5 cm 6 cm 4 cm 10 cm ANSWER :A

Discussion

5611.	The perimeter of two similar triangles are 30cm and 20cm respectively. If one side of the first triangle is 9 cm. Determine the corresponding side of the second triangle.
Answer» 13.5 6 15 5 Answer :A

Discussion

5612.	A question has two parts. Part A and Part B, each containing 8 questions. If the students has to choose 6 from part A and 5 questions from part B, in how many ways can he choose the questions?
Answer» 1268 1788 1024 1568 Answer :D

Discussion

5613.	Perimeter of a Delta is 32 cm & inradius is 3 cm. Find the area of Delta.
Answer» ANSWER :48

Discussion

5614.	Let S = {1,2,3,4}. The total number of unordered pairs of disjoint subsets of S is equal to
Answer» 34 43 42 41 Answer :D

Discussion

5615.	A boat goes 48 km downstream in 20 h.It takes 4 h more to cover the same distance against the stream. What is the speed of the boat in still water?
Answer» 2.2 km/h 2 km/h 4 km/h 4.2 km/h Answer :A

Discussion

5616.	Which one of the following is correct for the followoing graph?
Answer» A. `f(x)=\|\|(1)/(x)\|-2\|` B. `f(x)=((1)/(x))^(2)` C. `f(x)=\|(1)/(x^(3))\|` D. `f(x)=log\|x\|` Answer :A

Discussion

5617.	Which one of the following is correct for the followoing graph?
Answer» `F(X)={x}` `f(x)=[x]` `f(x)=\|[x]\|` NONE of these Answer :C

Discussion

5618.	(2cos40^(@)-cos20^(@))/(sin20^(@))=?
Answer» 0 `SQRT(3)` `-1` 2 Answer :C

Discussion

5619.	Study the following graph carefully and answer the questions that follow Forhow manytimes was the gap constant for the percentage of successful boysand girls?
Answer» Nil 1 2 3 Answer :D

Discussion

5620.	The value of k for which the lines x+2y=9 and kx+4y= -5 are parallel, is
Answer» `K=2` `k=1` `k= -1` `k=3` ANSWER :A

Discussion

5621.	Find the value of q/p , if px^2+x-15=0 and 18x^2+3x+q=0 have both the roots common.
Answer» `(-15)/2` `-9` `-27/4` 14/3` ANSWER :A

Discussion

5622.	A cistern from inside is 12.5 m long , 8.5 m broad and 4m high and is open at top. Find the cost of cementing the inside of a cistern at Rs. 24 per sq. m :
Answer» 6582 8256 7752 8752 Answer :A

Discussion

5623.	A bagcontains8 redand 4greenballs. Findthe probabiltythat the balldrawnis redwhenoneballis selectedat random .
Answer» `2/3` `1/3` `1/6` `5/6` ANSWER :A

Discussion

5624.	Which one of the following is correct for the followoing graph?
Answer» a. `f(x)=E^(x)` B. `f(x)=log\|x\|` C. `f(x)=2^(\|x\|)` d. `f(x)=x^(2)` Answer :C

Discussion

5625.	A alone can make 100 baskets in 6 days and B alone can make 100 baskets in 12 days. In how many days can A and B together make 100 baskets?
Answer» 3 days 5 days `2 1/2` days None of these Solution :A' s 1 DAY's work `=1/6` B's 1 day's work `=1/12` `therefore (A+B)`'s 1 day's work `= 1/6+1/12=(2+1)/12 =1/4` `therefore` A and B TOGETHER will MAKE 100 BASKETS in 4 days. Alternate Solution: In 12 days, A and B together can make (200 + 100) baskets = 300 baskets `therefore` in 4 days they can make 100 baskets.

Discussion

5626.	A black ant has to go from the origin to a point (6, 4) on the Cartesian plane, using the coordinate axes. However, it avoids crossing the point (4, 1), as a red ant is sitting there. Find the total number of shortest paths that it can go along.
Answer» (A) 150 (B) 160 (C) 190 (D) 240 Answer :B

Discussion

5627.	Arun and Prabhat have some books with them. Once Prabhat said to Arun that if Arun gives 3 books to Prabhat then Arun will have only 1/2 of the books that Prabhat will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun), then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prbhat have with them is :
Answer» 25 56 30 can't be DETERMINED ANSWER :C

Discussion

5628.	C.P. of 12 oranges is equal to S.P. of 9 oranges and discount of 10 oranges is equal to profit of 5 oranges . Find the difference between profit % and discount offered.
Answer» ANSWER :`(200)/(9)%`

Discussion

5629.	Pipe A and B can fill a cistern in 10 hours and 15 hours respectively. When a third pipe C which works as an outlet pipe is also open then the cistern can be filled in 18 hours. The outlet pipe can empty a full cistern in :
Answer» 12 hours 8 hours 9 hours 14 hours Answer :C

Discussion

5630.	Which one of the following is correct for the followoing graph?
Answer» `f(x)=\|x^(3)-2\|` `f(x)=x^(2)-2` `f(x)=\|(x^(3))/(4)\|-2` `f(x)=log\|x-1\|` ANSWER :C

Discussion

5631.	Let x be the least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves remainder 0. The sum of digits of x is:
Answer» 24 21 22 18 Answer :D

Discussion

5632.	If PQ and PR be the two tangents to a circle with centre O such that /_QPR=120^(@) then /_POQ is
Answer» `90^(@)` `45^(@)` `30^(@)` `60^(@)` Answer :C

Discussion

5633.	If tan theta=sqrt2, then the value of theta is :
Answer» LESS than `pi/4` EQUAL to `pi/4` between `pi/4` and `pi/3` GREATER than `pi/3` ANSWER :C

Discussion

5634.	A number 'p' is such that it is divisible by 7 but not by 2. Another number 'q' is divisible by 6 but not by 5, then the following experssion which necessarily be an interger is:
Answer» `(7p+6q)/42` `(5p+6q)/71` `(6p+7q)/42` NONE of these Answer :C

Discussion

5635.	Osaka walks from his house at 5 km/h and reaches his office 10 minutes late if this speed had been 6 km/h he would have reached 15 minutes early.The distance of his office from his house is:
Answer» 15 km 12.5 km 10.5 km 18 km Answer :B

Discussion

5636.	Sonu can do a piece of work in 20 days. He started the work and left after some days, when 25% work was done. After it Abhijeet joined and completed it working for 10 days. In how many days Sonu and Abhijeet can do the complete work, working together?
Answer» 6 8 10 12 Answer :B

Discussion

5637.	If a^(x)=b^(y)=c^(z) and abc=1, then find ((x^(2))/(x^(2)-zy)+(y^(2))/(y^(2)-zx)+(z^(2))/(z^(2)-xy))
Answer» 3 1 0 x+y+z Answer :B

Discussion

5638.	Let f:(-oo, 1]rarr(-oo, 1] such that f(x)=x(2-x), then f^(-1)(x) is :
Answer» a. `1+SQRT(1-x)` B. `1-sqrt(1-x)` C. `sqrt(1-x)` d. NONE of these Answer :B

Discussion

5639.	Find ( sin theta - sin 3 theta )/( sin^(2) theta - cos^(2) theta)
Answer» `2 COS THETA ` `-2 sin theta ` `2 sin theta ` `-2 cos theta ` ANSWER :C

Discussion

5640.	{:(""* , "",""),(8.31 ,+ 0.6, + 0.002):}
Answer» `{:(""* * ),(8.912):}` `{:(" " ),(8. 912):}` `{:(""),(8.979):}` `{:(" "* *),(8.979):}` ANSWER :C

Discussion

5641.	A trader uses a weighing balance that shows 1250 g fora kilogram. He further marks-up his cost price by 20%. What is the profit percentage ?
Answer» 0.05 0.45 0.5 0.3 Answer :C

Discussion

5642.	(x^(29)-x^(25)+x^(13)-1) is divisible by :
Answer» (x+1) but not by (x-1) (x-1) but not by (x+1) both (x+1) and (x-1) NEITHER (x-1) nor (x+1) ANSWER :B

Discussion

5643.	In a fraction the denominator is 4 greater than numerator. If the numerator is increased by 32% and the denominator is increased by 75% and then resultant fraction becomes 12//25. Find the original fraction.
Answer» 7 8 9 17 Answer :B

Discussion

5644.	If cosx=(2cosy-1)/(2-cosy) then tan""(x)/(2).cot""(y)/(2)=?
Answer» ANSWER :`SQRT(3)`

Discussion

5645.	In how many ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question.
Answer» 11 `""^(21)C_7` `18` 235 Answer :B

Discussion

5646.	64329 is divided by a certain number. While dividing, the numbers, 175, 114 and 213 appear as three successive remainders. The divisor is
Answer» 184 224 234 296 Answer :C

Discussion

5647.	A shopkeeper sells an article for Rs 78 and earns double the profit that he would have earned on selling this article for Rs 69. Find the C.P of this article.
Answer» 60 55.5 61.5 62 Answer :C

Discussion

5648.	3/5of 4/7of 7/9 425
Answer» 121 118 113 110 Answer :C

Discussion

5649.	If the coordinates of the mid points of the sides of a triangle are (1,1) ,(2,-3) and (3,4) .Find the centroid for the given triangle :
Answer» (8, 3/2) (7/2, 5) `(2 SQRT3, 5)` none of these Answer :D

Discussion

5650.	A circle touch sides of a Delta ABC i.e AB, BC, AC at P,Q,R AP = 8 cm PB = 6 cm Findother sidesif radius is 4 cm
Answer» ANSWER :X = 7AB = 14

Discussion

Explore topic-wise InterviewSolutions in .

Rs. 180 are divided into 66 male and female. The ratio of total amount given to male and female is 5 : 4. The ratio of amount given to one male and female is 3 : 2.Find the number of males and females.

From a circular sheet of paperof radius 25 cm, a sector area 4% is removed. If the remaining part is used to make a conical surface , then the ratio of the radius and height of the cone is :

A man has given one-fourth part of his property to his daughter, half part to his sons and one-fifth part given as charity. How much part of his property he has given?

Nutan invest rs. 22400 on S.I. at the rate of 12% p.a. How much amount she will get after seven year?

What is the quotient, when LCM is divided by the HCF of geometric progression with first term a and common ratio r?

111111111111 is divisible by :

If alpha and beta are the roots of the equation x^(2)-3x+2=0, Find the quadratic equation whose roots are -alpha and -beta:

A man purchases 5 horses and 10 cows for Rs 10000. He sells the horses at 15% profit and the cows at 10% loss. Thus he gets Rs 375 as profitFind the cost of 1 horse and 1 cow separately.

A circle is inscribed in Delta ABC having sides 8 cm, 10 cm and 12 cm. A circle touches the sides AB, BC and CA at D, E and F. Find AD

The perimeter of two similar triangles are 30cm and 20cm respectively. If one side of the first triangle is 9 cm. Determine the corresponding side of the second triangle.

A question has two parts. Part A and Part B, each containing 8 questions. If the students has to choose 6 from part A and 5 questions from part B, in how many ways can he choose the questions?

Perimeter of a Delta is 32 cm & inradius is 3 cm. Find the area of Delta.

Let S = {1,2,3,4}. The total number of unordered pairs of disjoint subsets of S is equal to

A boat goes 48 km downstream in 20 h.It takes 4 h more to cover the same distance against the stream. What is the speed of the boat in still water?

Which one of the following is correct for the followoing graph?

Which one of the following is correct for the followoing graph?

(2cos40^(@)-cos20^(@))/(sin20^(@))=?

Study the following graph carefully and answer the questions that follow Forhow manytimes was the gap constant for the percentage of successful boysand girls?

The value of k for which the lines x+2y=9 and kx+4y= -5 are parallel, is

Find the value of q/p , if px^2+x-15=0 and 18x^2+3x+q=0 have both the roots common.

A cistern from inside is 12.5 m long , 8.5 m broad and 4m high and is open at top. Find the cost of cementing the inside of a cistern at Rs. 24 per sq. m :

A bagcontains8 redand 4greenballs. Findthe probabiltythat the balldrawnis redwhenoneballis selectedat random .

Which one of the following is correct for the followoing graph?

A alone can make 100 baskets in 6 days and B alone can make 100 baskets in 12 days. In how many days can A and B together make 100 baskets?

A black ant has to go from the origin to a point (6, 4) on the Cartesian plane, using the coordinate axes. However, it avoids crossing the point (4, 1), as a red ant is sitting there. Find the total number of shortest paths that it can go along.

C.P. of 12 oranges is equal to S.P. of 9 oranges and discount of 10 oranges is equal to profit of 5 oranges . Find the difference between profit % and discount offered.

Pipe A and B can fill a cistern in 10 hours and 15 hours respectively. When a third pipe C which works as an outlet pipe is also open then the cistern can be filled in 18 hours. The outlet pipe can empty a full cistern in :

Which one of the following is correct for the followoing graph?

Let x be the least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves remainder 0. The sum of digits of x is:

If PQ and PR be the two tangents to a circle with centre O such that /_QPR=120^(@) then /_POQ is

If tan theta=sqrt2, then the value of theta is :

A number 'p' is such that it is divisible by 7 but not by 2. Another number 'q' is divisible by 6 but not by 5, then the following experssion which necessarily be an interger is:

Osaka walks from his house at 5 km/h and reaches his office 10 minutes late if this speed had been 6 km/h he would have reached 15 minutes early.The distance of his office from his house is:

Sonu can do a piece of work in 20 days. He started the work and left after some days, when 25% work was done. After it Abhijeet joined and completed it working for 10 days. In how many days Sonu and Abhijeet can do the complete work, working together?

If a^(x)=b^(y)=c^(z) and abc=1, then find ((x^(2))/(x^(2)-zy)+(y^(2))/(y^(2)-zx)+(z^(2))/(z^(2)-xy))

Let f:(-oo, 1]rarr(-oo, 1] such that f(x)=x(2-x), then f^(-1)(x) is :

Find ( sin theta - sin 3 theta )/( sin^(2) theta - cos^(2) theta)

{:(""* , ""*,""*),(8.31 ,+ 0.6, + 0.002):}

A trader uses a weighing balance that shows 1250 g fora kilogram. He further marks-up his cost price by 20%. What is the profit percentage ?

(x^(29)-x^(25)+x^(13)-1) is divisible by :

In a fraction the denominator is 4 greater than numerator. If the numerator is increased by 32% and the denominator is increased by 75% and then resultant fraction becomes 12//25. Find the original fraction.

If cosx=(2cosy-1)/(2-cosy) then tan""(x)/(2).cot""(y)/(2)=?

In how many ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question.

64329 is divided by a certain number. While dividing, the numbers, 175, 114 and 213 appear as three successive remainders. The divisor is

A shopkeeper sells an article for Rs 78 and earns double the profit that he would have earned on selling this article for Rs 69. Find the C.P of this article.

3/5of 4/7of 7/9 425

If the coordinates of the mid points of the sides of a triangle are (1,1) ,(2,-3) and (3,4) .Find the centroid for the given triangle :

A circle touch sides of a Delta ABC i.e AB, BC, AC at P,Q,R AP = 8 cm PB = 6 cm Findother sidesif radius is 4 cm

{:(""* , "",""),(8.31 ,+ 0.6, + 0.002):}