8677 + Interview Questions in Maths in Class 14 Page 99 InterviewSolution

4901.	A monkey wanted to climb on the smooth vertical pole of height of 35 metre. In the first one minute he climbed up 5 metre in the next on minute he slipped down by 2 metre. Further he repeated the same process till he had reached on the top of the pole: If the height of the pole is 36 metre then the time taken by monkey to reach at the top of the pole is:
Answer» 22 MIN. 36 sec 22 min. 24 sec 23 min.12 sec none of these Answer :A

Discussion

4902.	22^(2)+sqrt(?)=516
Answer» 1028 1024 1124 1128 Answer :B

Discussion

4903.	Cost price of two motorcycles is same. One is sold at a profit of 15% and the other for ₹ 4800 more than the first. If the net profit is 20%. Find the cost price of each motorcycle:
Answer» ₹ 48000 ₹ 52000 ₹ 36000 ₹ 42500S Answer :A

Discussion

4904.	In what ratio must Milan mix two kinds of coffee costing 50rs/kg and 70rs/kg so that the resultant mixture when sold at 72rs/kg yeilds a profit of 20%?
Answer» a.1:1 ` B.8:3 c.3:8 d.3:2 Answer :B

Discussion

4905.	Number of aspirants who had qualified only in DI section
Answer» 17 22 27 none of these Answer :A

Discussion

4906.	What isthe slope of the line parallel to thelinepassing through the points (5, -1) and (4, -4) ?
Answer» `-3` `-(1)/(3)` `3` `(1)/(3)` ANSWER :C

Discussion

4907.	rs 69 were divided among 115 students so that each girl gets 50 paise less than a boy. Thus each boy recieved twice the paise as each girl recieved. The no. of girls in the class is:
Answer» 92 42 33 23 Answer :A

Discussion

4908.	Two medians AD and BE of Delta ABC intersectat G at right angles . If AD=9 cm and BE=6 cm, them the length of BD (in cm) is
Answer» ANSWER :5

Discussion

4909.	A square ABCD has an equilateral triangle drawn on the side AB ( interior of the square ) . The triangle has vertexat G. What is the measure of the angle CGB ?
Answer» `90^@` `80^@` `75^@` `90^@` ANSWER :C

Discussion

4910.	If every side of atriangle is doubled, then increase in the area of the triangle is100sqrt(2)\ % (b)200% (c) 300%(d) 400%
Answer» `200%` `300%` `400%` none of these Answer :B

Discussion

4911.	The minimum value of the sum of real numbers a^(-5),a^(-4),3a^(-3),1,a^(8)" and "a^(10)" with "agt0 is
Answer» 8 9 3 none Answer :A

Discussion

4912.	Panas has 15 yellow , pink andwhite balls in his bag . Numberof each ballsis different in thebag ,Differencebetweenyellow balland pinkball is same as difference between pinkball and white ball,probability of selecting one white ball fromthebag is greater than0.2, thennumberofwhite balls in the bag can be {:("(A)"3,(B)4),("( C)"5,(D)7),("( E)"9,):}
Answer» Only B,C,D and E Only B,D,E All A,B,C,D and E Only C,D,E Solution :Let numberof yellow , pinkand whiteballsbe x,y andz respectively ATQ, `x-y=y-z` `y=(x+z)/(2) or 2y=x+z` `and (z)/(x+y+z)GT 0.2` `(z)/(3y)gt (1)/(5)` `5zgt 3y` `"If" y=5,then z gt 3` If `y= 10 , thenz gt 6,` but this isn'tpossible hence, `{:("yellow","pink","WHITE"),(6,5,4),(4,5,6),(3,5,7),(2,5,8),(1,5,9):}` ,5,5,5 isn't possibleas number of ballsis different hence , fromgivennumbers only (B),(D) and ( E) CANBE thepossible . SO, option ,(B) is thecorrect answer.

Discussion

4913.	If cosA=(3)/(5)and sinB=(5)/(13), find the value of (tanA+tanB)/(1-tanAtanB) :
Answer» 63/16 36/16 61/36 none of these Answer :A

Discussion

4914.	The price of an item is increased by 20% and then decreased by 20%. The final price as compared to original price
Answer» `4%`more `20%`more `20%`LESS `4%`less Answer :D

Discussion

4915.	At election there are 5 candidates and 3 members are to be elected and a voter is entitled to vote for any number to be elected. In how many ways a voter can a vote ?
Answer» 25 `5^3` `3^5` 15 Answer :A

Discussion

4916.	A thief sees a jeep at a distance of 250m coming towards him at 36 km/h. Thief takes 5 second to realize that there is nothing but the police is approaching him by the jeep and start running away from police at 54km/h. But police realize after 10 secs. When the thief starts running away that he is actually a thief and gives chase at 72 km/h. How long after thief saw police did police catchup with him and what is the distance police had to travel to do so ?
Answer» 50S , 1000m 65s , 1150m 65s,1300m 45S , 1050m Answer :B

Discussion

4917.	If the equations x^(2) -px +q=0 and x^(2)+qx-p=0 have a common root, then which one of the following is correct?
Answer» p-q=1 p+q=-1 p-q=-1 p+q=1 Answer :D

Discussion

4918.	The sum of an infinite G.P. is 4 and the sum of their cubes is 192. Find the first term :
Answer» 4 8 6 2 Answer :C

Discussion

4919.	Find x I 20 % of x is equal to the 1/5 th part of an another number II. 7/20 the part of x is equal to the 35 % of an another number
Answer» If the statement I ALONE is SUFFICIENT to answer the question but the statement II alone is not sufficient If the statement II alone is sufficient to answer the question but the statement I alone is not sufficient If both STATEMENTS I and II together are NEEDED to answer the question If cannot get the answer from the statements I and II together and NEED even more data Answer :D

Discussion

4920.	p, q, r in R and k is a prime number such that p+qk^(1//3)+rk^(2//3)=0, then :
Answer» <P>`p=(q)/(r)` `p=q^(1//3)ner^(2//3)` `p=q=r=0` NONE of these Answer :C

Discussion

4921.	What was the approximate average number of candidates qualified in the written test for admission to institution B over all the year?
Answer» 4555 4200 4160 4667 Answer :D

Discussion

4922.	A sum of money becomes 9 times in 1 year if compounded half yearly. How much time it will take to become 125 times if compounded yearly.
Answer» ANSWER : 3 YEARS

Discussion

4923.	4 men and 4 women are to be seated for a dinner, In a row, such that men and women sit alternately. Find the number of ways in which this arrangements can be done.
Answer» 1152 1252 576 40320 Answer :A

Discussion

4924.	The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?
Answer» A) 11 months B) 9 months C) 7 months D) 10 months Answer :70KM

Discussion

4925.	A man engaged a servant on the condition that the he would pay him Rs 3000 and one uniform after one year of sevice. He served only for 9 months and got Rs 2200 and a uniform. What is the price of uniform?
Answer» 100 20 250 400 Answer :B

Discussion

4926.	If (7+4sqrt(3))^(x^(2-8))+(7-4sqrt(3))^(x^(2-8))=14, then x=
Answer» `3,SQRT7` `+-3,+-4` `+-3,+-sqrt7` `+-4,+-sqrt6` Answer :C

Discussion

4927.	Brinda borrowed Rs. 1000 to build a hut. She pays 5% simple interest . She lets the hut to Ramu and receives the rent of Rs. 12(1)/(2) per month from Ramu. In how many years Brinda oughtto clear off the debt ?
Answer» ANSWER :10 YEARS

Discussion

4928.	If the sides of a quadrilateral ABCD touch a circle and AB = 6 cm, CD = 5 cm, BC = 7 cm, then the length of AD in cm is :
Answer» a) 8 b) 9 C) 4 d) 6 Answer :C

Discussion

4929.	A person P is at X and another person Q is at Y.The distance between X and Y is 100 km.The speed of P is 20 km/h.While the speed of Q is 60 km/h?if they first time meet at point Z somewhere between X and Y then the distance between X and Z is:
Answer» 20 KM 40 km 25 km/h 30 km Answer :C

Discussion

4930.	The average of marks in English for ten students was found to be 45. Later on, it was discovered that in case of one student, the marks 46 were misread as 64. The correct average is
Answer» (a) 43.2 (B) 45.5 (C) 49.3 (d) 53.2 Answer :A

Discussion

4931.	Amit travels 30 minutes at the speed of 25km/hr. Further he travles 20 minutes at the speed of 40km/hr. Find his average speed.
Answer» 25km/hr 30km/hr 31km/hr none of these Solution : Since the actual ratio is 3:2 so reverse it , i.e., the required ratio is 2:3. Now DIVIDE the difference of both the SPEEDS i.e., 25 and 40 in the ratio of 2:3 i.e., `(40-25)xx2/5 = 6 and (40-25)xx3/5 = 9` So, the avrerage speed is 25+6 = 31, or 40-9 = 31

Discussion

4932.	If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE \|\| BC. If AD =x cm, DB =(x-3) cm, AE = ( x+ 3 ) cm and EC = ( x -2) cm, what is the value (in cm. ) of x ?
Answer» 3 3.5 4 4.5 Answer :4

Discussion

4933.	If P + P!= P^3 , then the value of P is :
Answer» 4 6 0 5 Solution :CONSIDER P=5, then `5 + 5! = 5^3` 5 + 120 = 125 125 = 125

Discussion

4934.	A circle (with centre at O) is touching two intersecting lines AX and BY. The two points of contact A and B subtend an angle of 65^(@) at any point C on the circumference of the circle. If P is the point of intersection for the two lines, then the measure of angle APO is :
Answer» `25^(@)` `65^(@)` `90^(@)` `40^(@)` ANSWER :A

Discussion

4935.	I.x = sqrt(3136) II.y^(2) = 3136
Answer» `X gt y ` `x ge y` ` x lt y` `x = y` Solution :` x = sqrt(3136) = + 56` ` y^(2) = 3136` ` rArry = sqrt(3136) = pm 56` CLEARLY, no RELATION can be established between x and y.

Discussion

4936.	Find the number of positive integers up to 100 which are not divisible by any 2, 3 and 5 ?
Answer» 24 25 26 27 Answer :C

Discussion

4937.	Arti and Barkha start swimming towards each other from the deep end and shallow end respectively of a swimming pool in Funcity. They start their swimming simultaneously in the length of 300 m pool. The ratio of their speeds is 1:2 respectively. Each swimmer rests for 6 seconds once she reaches the other end starts swimming back. Where will they meet for the second time in the still water of swimming pool?
Answer» 30 m from the SHALLOW end at the shallow end at the deepend can't be determined Answer :B

Discussion

4938.	What is the least possible number which when divided by 21 , 25 , and 35 in each case it leaves the remainder 2 ?
Answer» Solution :The LEAST POSSIBLE number = (LCM of 21 , 25 , 27 and 35)m + 2 = 4725m + 2 = 4727 ( for the least possible value we take m = 1)

Discussion

4939.	If tanA=(3)/(2), then (1+cotA)/(1-cotA)=?
Answer» -5 5 `(9)/(4)` `(4)/(9)`

Discussion

4940.	If x/2 = y/3, then [4/5 + (y - x)/(y+x)] equals :
Answer» `3/5` `4/5` `1` `6/5` ANSWER :C

Discussion

4941.	In how many ways can the letters of the word MOBILE be so that the consonants always occupy the odd places?
Answer» 18 36 54 72 Answer :B

Discussion

4942.	in howmanywayscan thelettersof thewordMOBILEbe arrangedso thatat leasttwoconstonantsremaintogether?
Answer» 2880 3200 576 1600 Answer :C

Discussion

4943.	Which one numbers is closest to 195 which is divisible by 18 is :
Answer» 180 196 198 208 Answer :C

Discussion

4944.	The sum of the interior angles of a polygon is 1260^(@). The number of sides of the polygon is :
Answer» 6 7 8 9 Answer :D

Discussion

4945.	Show that (x-2) is a factor of the polynomial 2x^(2)-5x+2
Answer» Solution :LET `F(x)=2x^2-5x+2` (x-2)=0 x=2 f(2)=0 by FACTOR theorem (x-2) is a factor of `2x^2-5x+2`

Discussion

4946.	If the sum of the lengths of the diagonals of a rhombus is 10 m and if its area is 9m^(2), then what is the sum of the square of the diagonals ?
Answer» 36 `m^(2)` 64 `m^(2)` 80 `m^(2)` 100 `m^(2)` Answer :B

Discussion

4947.	He told me that he was married four years.
Answer» 1 2 3 can't be determined Answer :D

Discussion

4948.	Mewalal is selling fruits in charbagh, Lucknow, which were imported from Kesharbagh and Dayalbagh only. He has 13 apples, 25 bananas, 17 cherries, 29 goose berries, 35 mangoes and 42 pine apples. When I wanted to purchase some fruits from his shop, he told me that he can sell only in lots(i.e.,either total apples or total bananas or 10 apples) and he told me that he himself can import any type of fruits without any lot, sya 20 mangoes from Kesharbagh and 15 mangoes from Dayalbagh and so on if he wished. As per the given constraints if Mewalal has sold some fruits in such a way that he is now left with 3/4 fruits of Dayalbagh than that of Kesarbagh. Maximum how many lots (i.e., categories) of fruits he can sell out in such a way?
Answer» 1 2 3 can't be determined Answer :B

Discussion

4949.	A fruit basket contains 6 oranges, 8 apples and 12 mangoes. In how many ways is it possible to make a selection by taking any number of 15 fruits, namely 3 oranges, 5 apples and 7 mangoes?
Answer» 887040 887400 878500 887060 Answer :A

Discussion

4950.	Mewalal is selling fruits in charbagh, Lucknow, which were imported from Kesharbagh and Dayalbagh only. He has 13 apples, 25 bananas, 17 cherries, 29 goose berries, 35 mangoes and 42 pine apples. When I wanted to purchase some fruits from his shop, he told me that he can sell only in lots(i.e.,either total apples or total bananas or 10 apples) and he told me that he himself can import any type of fruits without any lot, sya 20 mangoes from Kesharbagh and 15 mangoes from Dayalbagh and so on if he wished. Mewalal sold some fruits and then he told me that he is now left with twice the fruits of Kesharbagh than that of Dayalbagh. The number of fruits of dayalbagh left after this selling is:
Answer» (a) 5 YEARS (B) 20 years (C) 6.3 years (d) 7.2 years Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

22^(2)+sqrt(?)=516

Cost price of two motorcycles is same. One is sold at a profit of 15% and the other for ₹ 4800 more than the first. If the net profit is 20%. Find the cost price of each motorcycle:

In what ratio must Milan mix two kinds of coffee costing 50rs/kg and 70rs/kg so that the resultant mixture when sold at 72rs/kg yeilds a profit of 20%?

Number of aspirants who had qualified only in DI section

What isthe slope of the line parallel to thelinepassing through the points (5, -1) and (4, -4) ?

rs 69 were divided among 115 students so that each girl gets 50 paise less than a boy. Thus each boy recieved twice the paise as each girl recieved. The no. of girls in the class is:

Two medians AD and BE of Delta ABC intersectat G at right angles . If AD=9 cm and BE=6 cm, them the length of BD (in cm) is

A square ABCD has an equilateral triangle drawn on the side AB ( interior of the square ) . The triangle has vertexat G. What is the measure of the angle CGB ?

If every side of atriangle is doubled, then increase in the area of the triangle is100sqrt(2)\ % (b)200% (c) 300%(d) 400%

The minimum value of the sum of real numbers a^(-5),a^(-4),3a^(-3),1,a^(8)" and "a^(10)" with "agt0 is

If cosA=(3)/(5)and sinB=(5)/(13), find the value of (tanA+tanB)/(1-tanAtanB) :

The price of an item is increased by 20% and then decreased by 20%. The final price as compared to original price

At election there are 5 candidates and 3 members are to be elected and a voter is entitled to vote for any number to be elected. In how many ways a voter can a vote ?

If the equations x^(2) -px +q=0 and x^(2)+qx-p=0 have a common root, then which one of the following is correct?

The sum of an infinite G.P. is 4 and the sum of their cubes is 192. Find the first term :

Find x I 20 % of x is equal to the 1/5 th part of an another number II. 7/20 the part of x is equal to the 35 % of an another number

p, q, r in R and k is a prime number such that p+qk^(1//3)+rk^(2//3)=0, then :

What was the approximate average number of candidates qualified in the written test for admission to institution B over all the year?

A sum of money becomes 9 times in 1 year if compounded half yearly. How much time it will take to become 125 times if compounded yearly.

4 men and 4 women are to be seated for a dinner, In a row, such that men and women sit alternately. Find the number of ways in which this arrangements can be done.

The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?

A man engaged a servant on the condition that the he would pay him Rs 3000 and one uniform after one year of sevice. He served only for 9 months and got Rs 2200 and a uniform. What is the price of uniform?

If (7+4sqrt(3))^(x^(2-8))+(7-4sqrt(3))^(x^(2-8))=14, then x=

Brinda borrowed Rs. 1000 to build a hut. She pays 5% simple interest . She lets the hut to Ramu and receives the rent of Rs. 12(1)/(2) per month from Ramu. In how many years Brinda oughtto clear off the debt ?

If the sides of a quadrilateral ABCD touch a circle and AB = 6 cm, CD = 5 cm, BC = 7 cm, then the length of AD in cm is :

A person P is at X and another person Q is at Y.The distance between X and Y is 100 km.The speed of P is 20 km/h.While the speed of Q is 60 km/h?if they first time meet at point Z somewhere between X and Y then the distance between X and Z is:

The average of marks in English for ten students was found to be 45. Later on, it was discovered that in case of one student, the marks 46 were misread as 64. The correct average is

Amit travels 30 minutes at the speed of 25km/hr. Further he travles 20 minutes at the speed of 40km/hr. Find his average speed.

If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE || BC. If AD =x cm, DB =(x-3) cm, AE = ( x+ 3 ) cm and EC = ( x -2) cm, what is the value (in cm. ) of x ?

If P + P!= P^3 , then the value of P is :

A circle (with centre at O) is touching two intersecting lines AX and BY. The two points of contact A and B subtend an angle of 65^(@) at any point C on the circumference of the circle. If P is the point of intersection for the two lines, then the measure of angle APO is :

I.x = sqrt(3136) II.y^(2) = 3136

Find the number of positive integers up to 100 which are not divisible by any 2, 3 and 5 ?

What is the least possible number which when divided by 21 , 25 , and 35 in each case it leaves the remainder 2 ?

If tanA=(3)/(2), then (1+cotA)/(1-cotA)=?

If x/2 = y/3, then [4/5 + (y - x)/(y+x)] equals :

In how many ways can the letters of the word MOBILE be so that the consonants always occupy the odd places?

in howmanywayscan thelettersof thewordMOBILEbe arrangedso thatat leasttwoconstonantsremaintogether?

Which one numbers is closest to 195 which is divisible by 18 is :

The sum of the interior angles of a polygon is 1260^(@). The number of sides of the polygon is :

Show that (x-2) is a factor of the polynomial 2x^(2)-5x+2

If the sum of the lengths of the diagonals of a rhombus is 10 m and if its area is 9m^(2), then what is the sum of the square of the diagonals ?

He told me that he was married four years.

A fruit basket contains 6 oranges, 8 apples and 12 mangoes. In how many ways is it possible to make a selection by taking any number of 15 fruits, namely 3 oranges, 5 apples and 7 mangoes?