8677 + Interview Questions in Maths in Class 14 Page 102 InterviewSolution

5051.	If (ab^2)^(1//3) = 125 where a > b > 1 and (a , b^2) in N then the correct relation is :
Answer» a = B `a = b^4` `a^(3//2)` = b^(2//3)` NONE of these Answer :B

Discussion

5052.	Sone lal has 'n' magical eggs whose average weight is 'k' gm. Each of the 'n' eggs produces 'n' eggs next day such that the average weight of 'n' eggs produced is same as that of the parental (previous generation) egg for each 'n' groups individually i.e., such egg produces 'n' eggs in its next generation is same as the weight of the mother egg. This process is continued without any change in pattern. What is the total weight of all the eggs of r^(th) generation, where the initial number of eggs with Sone lal are considered as the eggs of first generation :
Answer» RNK `n^rk` `nk^r` `(n^r+1)K` ANSWER :B

Discussion

5053.	A trader has a faulty balance that weighs 20% less than what it should weigh. But, he offers a discount of 10% on the price, what is his profit per cent?
Answer» 8 10 12 12.5 Answer :D

Discussion

5054.	In the given figure, angleBAC and angleBDC are the angles of same segments. angleDBC = 30^(@) and angleBCD = 110^(@). Find angleBAC is :
Answer» `35^(@)` `40^(@)` `55^(@)` `60^(@)` ANSWER :B

Discussion

5055.	Consider the equation, 1/x +1/y = 1/z, where x,y,z are natural numbers. If x = 12, find the total number of solutions to this equation.
Answer» 6 1 18 9 Answer :B

Discussion

5056.	The ratio of the amount for two years under CI annually and for one year under SI is 6:5. When the rate of interest is same, then the value of rate of interest is:
Answer» `12.5%` `18%` `20%` `16.66%` ANSWER :C

Discussion

5057.	One fifth of a number is 62. What will 73% of that number be?
Answer» a. 198.7 B. 212.5 c. 226.3 d. 234.8 Answer :B

Discussion

5058.	Two third of three fourths of one fifth of a number is 15. What is 30% of that number?
Answer» a. 45 b. 60 c. 75 d. 30 Answer :A

Discussion

5059.	Find the total number of factors of 540.
Answer» 24 20 30 none of these Solution :`540 = 2xx2xx3xx3xx3xx5 `or `540 = 2^2xx3^2xx5^1` Therefore total NUMBER of FACTORS of 540 is (2+1)(3+1)(1+1) = 24

Discussion

5060.	1010 - 5 - 36 + 187 * 20.05 = ?
Answer» a. 3650 B. 3770 c. 3825 d. 3800 Answer :B

Discussion

5061.	If 60 engineers of 120 doctors or 100 teachers can finish a work in 360 days then in how many days will 10 engineers, 40 doctors and 50 teachers working together will complete the same work?
Answer» 360 320 400 440 Solution :`60E= 120 D = 100T= 1 ` UNIT can finish a work in 360 days ALSO `10E+40D+50T= 1/6 + 1/3 + 1/2 unit = 1 unit` Therefore 10 engineers, 40 doctors and 50 teachter working together will complete the same work in same TIME i.e. 360 days.

Discussion

5062.	The sum of the squares of a two digit number is 10. If we add 18 to this number we get another number consisting of the same digits written in reverse order. The original number is :
Answer» 98658823 91703 87912 27918 Answer :C

Discussion

5063.	A committee of 3 experts is to be selected out of a panel of 7 persons, three of them are engineers, three of them are managers and one is both engineer and manager. In how many ways can the committee be selected if it must have at least an engineer and a manager ?
Answer» 33 22 11 66 Answer :A

Discussion

5064.	Three circles touch each other externally. The distance between their centre is 3 cm, 4 cm and 5 cm. Find the radii of the circles :
Answer» 1 CM, 2 cm, 3 cm `(1)/(2) cm, (3)/(2) cm, (5)/(2) cm` 1 cm, 2.5 cm, 3.5 cm NONE of these Answer :A

Discussion

5065.	1+cos56^(@)+cos58^(@)-cos66^(@)=?
Answer» `2cos28^(@)cos29^(@)sin33^(@)` `4cos28^(@)cos29^(@)cos33^(@)` `4cos28^(@)cos29^(@)sin33^(@)` `2cos28^(@)cos29^(@)cos33^(@)` ANSWER :C

Discussion

5066.	Sonia puchased 80 metres of cloth, out of which 35% was used for making trousers. How much cloth was used by her making trousers ?
Answer» SOLUTION :`80xx0.35 =28 ` `(:. 35% =30/100=0.35)` Therefore , the required ANSWER is 28 METERS.

Discussion

5067.	l,b are the length and breadth of a rectangle respectively . If the perimeter of this rectangle is numerically equal to the area of the rectangle . What is the value of l-b ( where l gt b) ?
Answer» a.1 b.2 C.3 d.can't be DETERMINED ANSWER :C

Discussion

5068.	Find the total number of squares in a square having 10 rows and 10 columns.
Answer» 385 360 100 275 Answer :A

Discussion

5069.	Three bells, toll at interval of 36 sec, 40 sec and 48 sec respectively. They start ringing together at particular time. They will toll together next time after :
Answer» 6 minutes 12 minutes 18 minutes 24 minutes Answer :B

Discussion

5070.	If tantheta+cottheta=2, then the value of tan^(n)theta+cot^(n)theta (0^(@)lt theta lt90^(@),n is an integer) is
Answer» 2 `2^(N)` 2N `2^(n+1)` ANSWER :A

Discussion

5071.	The number of ways in which 30 coins of one rupee each be given to six persons so that none them receive less than 4 rupees is:
Answer» 246 462 `(30!)/6!` NONE of these Answer :B

Discussion

5072.	In how many ways the letters of the word RAINBOW be arranged ?
Answer» 5040 4050 3040 8040 Answer :A

Discussion

5073.	Kareena and shahid starts from kurla and worli towards worli and kurla respectively at the same time After they meet a shantakruz on the way from kurla to worli, kareena reduces he speed by 33.33% and returns back to kurla and shahid increase his speed by 33.33% and returns back to worli. If Kareena takes 2 hours for the entire journey , what is the time taken by shahid for the entire journey?
Answer» A)96 min B)84 min C)168 min D)can't be determined Answer :B

Discussion

5074.	If n in 1,3,5,7,… etc., then the value of 19^(n) - 23^n - 43^n + 47^n is necessarily divisible by :
Answer» 1.264 2.246 3.76 4.129 Answer :A

Discussion

5075.	A sum of Rs. 2400 deposited at Cl, doubled after 5 years. After 20 year it will become.
Answer» ₹ 24000 ₹ 38400 ₹ 19200 can't be determined Answer :B

Discussion

5076.	A contractor undertook a project to complete it, in 20 days which needed 5 workers to work continuously for all the days estimated. But before the start of the work the client wanted to complete it earlier than the scheduled time, so the contractor calculated that he needed to increase 5 additional men every 2 days to complete the work in the time the client wanted it: How many men were working on the day the project was completed as per the date of client wanted to complete it?
Answer» 5 10 20 none of these Answer :C

Discussion

5077.	A contractor undertook a project to complete it, in 20 days which needed 5 workers to work continuously for all the days estimated. But before the start of the work the client wanted to complete it earlier than the scheduled time, so the contractor calculated that he needed to increase 5 additional men every 2 days to complete the work in the time the client wanted it: Find the number of days in which client wanted to complete his work.
Answer» 15 10 8 can't be determined Answer :C

Discussion

5078.	The simple interest accrued on a sum of certain principal is 1200 in 4 year at the rate of 8% per annum. What would be the simple interest accured on thrice of that principal at the rate of 6% per annum in 3 year ?
Answer» 2025 3025 2250 2150 Answer :B

Discussion

5079.	A venn diagram has two circles, which cuts the plane into 4 regions and another venn diagram has 3 circles, which cuts the plane into 8 regions if you have ovals instead of circles, find the maximum possible number of regions on a plane that can be created by a venn diagram with 5 ovals
Answer» 34 42 18 26 Answer :B

Discussion

5080.	The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the maximum distance from A to C (in miles)?
Answer» A) 11 B) 8 C) 2 D) 4 Answer :B

Discussion

5081.	A man can row a boat with 4km/h in still water, if he is crossing a river where the current is 2 km/h. (a) In what direction will his boat be holded, if he wants to reach a point on the other bank, directly opposite to starting point? (b) If width of the river 4km, how long will the man take to cross the river, with the condition in part (a)? (c) In what direction shou ld he heat the boat if he wants to cross the river in shorest time and what is this minimum time? (d) How long will it take him to row 2 km up the stream and then back to his starting point?
Answer» 3 HRS 6 hrs 7 hrs 30 min 4 hrs 30 min Answer :C

Discussion

5082.	The sides of a triangle triangleABC are 15 cm, 41cm and 52 cm. Find the diameter of the circumcircle of the triangleABC
Answer» 205/3 cm 208/3 cm 69 cm 70 cm Answer :A

Discussion

5083.	If x^(y) =k, then
Answer» `log_(y)K =X` `log_(x), y=k` `log_(k)x =y` `log_(x)k=y` ANSWER :D

Discussion

5084.	Answer these questions based on the following informationsTwo parallel lines each have a number of distinct points marked on them. On one line there are two points P and Q. On the other line there are eight points Find the maximum number of different triangles which could be formed having three of the ten points as their vertices
Answer» 3 2 64 6 Answer :C

Discussion

5085.	Find the average of the square of first consecutive odd numbers starting from 1 to 9, where the last odd number is 9.
Answer» 22 11 16 33 Answer :C

Discussion

5086.	If a = 0.1818181818… and b = 0.3030030003 … then (a+b) is :
Answer» A)a RATIONAL no. B)a PERFECT number C)an irrational no. D)both (b) and (c) Answer :C

Discussion

5087.	One of diagonal of a parallelogram is 10 cm and an angle of the parallelogram is pi//4. If its height be 8 cm then area of the parallelogram :
Answer» `112 cm ^2` `88 cm^2` `92 cm^2` `104 cm^2` Answer :A

Discussion

5088.	Distance between A and B is 450 km. A car and a bus travel from A to B speed of car is 20 km/h more than that of bus. After travelling 2/3rd distance car stops for 2 hours and after that remaining distance is covered at 2/3rd of initial speed and reaches at B. Bus after travelling 1/3rd of distance stops for 1 hour and after that increases its speed by 25% and reaches at B at the same time as the car. Find the speed of bus and car and also find the time taken it took the car and the bus to reach at B.
Answer» ANSWER :40 km/h, 60 km/h, 10 hr 45 min.

Discussion

5089.	A circle with 7cm is segmented into six equal triangular areas as shown in figure. What will the area of the portion be?
Answer» a. `3a^(2) (pi + SQRT(3))` B. `3sqrt(3) a^(2) ` C. `3(a^(2)sqrt(3) + pi) ` d. `(3sqrt(3) pi a^(2))/(2)` Answer :B

Discussion

5090.	A polygon has 54 diagonals . Find the number of its sides.
Answer» 18 12 14 9 Answer :B

Discussion

5091.	A takes three times as long as (B + C) together to complete a work. B takes four times as much as (A + C) together to complete a work. If all the three, working together can complete the work in 22 days, then find the number of days A, B and C alone will take to complete this work
Answer» Answer :`A to 88` days, `B to 110` days, `C to 40` days

Discussion

5092.	If sectheta+tantheta=5, then find sintheta=?
Answer» ANSWER :`(12)/(13)`

Discussion

5093.	Show that the total number of permutations of n different things takenn not more than r at a time, when each thing may be repated any number of times is (n(n^(r)-1))/((n-1)).
Answer» `(N^r -1)/((n-1))` `r^n -1` `(n(n^r -1))/((n-1))` NONEOF these Answer :C

Discussion

5094.	A man can row 9 km/h in still water. it takes him twice as long as to row up as to row down find the rate of the stream of the river.
Answer» ANSWER :3 km/h

Discussion

5095.	In a bangle shop, the shopkeeper displays the bangles in the form of a square then he is left with 38 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 25 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was :
Answer» 1690 999 538 can't be determined Answer :B

Discussion

5096.	If a sum becomes Rs. 1352 in 2 years at 4% per annum compound interest then the sum is ?
Answer» ANSWER :RS. 1250

Discussion

5097.	Each family in Gyanpur village has atmost two adults and the total number of boys in this village is less than the number of girls. Similarly the number of girls is less than the number of adults in the village. Raghubir Singh, the chief of this village is the only adult in his family. The minimum number of families in his village is:
Answer» 2 3 4 none of these ANSWER :C

Discussion

5098.	Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of mea- sures of their interior angles is 3:4. Then the num- ber of sides of each polygon are:
Answer» 3, 6 4, 8 6, 9 5, 10 Answer :D

Discussion

5099.	Four isosceles triangles are cut off from the corners of a square of area 400m^2. Find the area of new smaller square (in m^2).
Answer» `200sqrt2` `200/sqrt2` 200 `100SQRT2` ANSWER :C

Discussion

5100.	If A=(log_(3) 2187)/5 and B = log_(243) 2187, then which of the following is correct?
Answer» `ALTB` A=B `AGTB` can't be determined Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

If (ab^2)^(1//3) = 125 where a > b > 1 and (a , b^2) in N then the correct relation is :

A trader has a faulty balance that weighs 20% less than what it should weigh. But, he offers a discount of 10% on the price, what is his profit per cent?

In the given figure, angleBAC and angleBDC are the angles of same segments. angleDBC = 30^(@) and angleBCD = 110^(@). Find angleBAC is :

Consider the equation, 1/x +1/y = 1/z, where x,y,z are natural numbers. If x = 12, find the total number of solutions to this equation.

The ratio of the amount for two years under CI annually and for one year under SI is 6:5. When the rate of interest is same, then the value of rate of interest is:

One fifth of a number is 62. What will 73% of that number be?

Two third of three fourths of one fifth of a number is 15. What is 30% of that number?

Find the total number of factors of 540.

1010 - 5 - 36 + 187 * 20.05 = ?

If 60 engineers of 120 doctors or 100 teachers can finish a work in 360 days then in how many days will 10 engineers, 40 doctors and 50 teachers working together will complete the same work?

The sum of the squares of a two digit number is 10. If we add 18 to this number we get another number consisting of the same digits written in reverse order. The original number is :

A committee of 3 experts is to be selected out of a panel of 7 persons, three of them are engineers, three of them are managers and one is both engineer and manager. In how many ways can the committee be selected if it must have at least an engineer and a manager ?

Three circles touch each other externally. The distance between their centre is 3 cm, 4 cm and 5 cm. Find the radii of the circles :

1+cos56^(@)+cos58^(@)-cos66^(@)=?

Sonia puchased 80 metres of cloth, out of which 35% was used for making trousers. How much cloth was used by her making trousers ?

l,b are the length and breadth of a rectangle respectively . If the perimeter of this rectangle is numerically equal to the area of the rectangle . What is the value of l-b ( where l gt b) ?

Find the total number of squares in a square having 10 rows and 10 columns.

Three bells, toll at interval of 36 sec, 40 sec and 48 sec respectively. They start ringing together at particular time. They will toll together next time after :

If tantheta+cottheta=2, then the value of tan^(n)theta+cot^(n)theta (0^(@)lt theta lt90^(@),n is an integer) is

The number of ways in which 30 coins of one rupee each be given to six persons so that none them receive less than 4 rupees is:

In how many ways the letters of the word RAINBOW be arranged ?

If n in 1,3,5,7,… etc., then the value of 19^(n) - 23^n - 43^n + 47^n is necessarily divisible by :

A sum of Rs. 2400 deposited at Cl, doubled after 5 years. After 20 year it will become.

The simple interest accrued on a sum of certain principal is 1200 in 4 year at the rate of 8% per annum. What would be the simple interest accured on thrice of that principal at the rate of 6% per annum in 3 year ?

A venn diagram has two circles, which cuts the plane into 4 regions and another venn diagram has 3 circles, which cuts the plane into 8 regions if you have ovals instead of circles, find the maximum possible number of regions on a plane that can be created by a venn diagram with 5 ovals

The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the maximum distance from A to C (in miles)?

The sides of a triangle triangleABC are 15 cm, 41cm and 52 cm. Find the diameter of the circumcircle of the triangleABC

If x^(y) =k, then

Find the average of the square of first consecutive odd numbers starting from 1 to 9, where the last odd number is 9.

If a = 0.1818181818… and b = 0.3030030003 … then (a+b) is :

One of diagonal of a parallelogram is 10 cm and an angle of the parallelogram is pi//4. If its height be 8 cm then area of the parallelogram :

A circle with 7cm is segmented into six equal triangular areas as shown in figure. What will the area of the portion be?

A polygon has 54 diagonals . Find the number of its sides.

A takes three times as long as (B + C) together to complete a work. B takes four times as much as (A + C) together to complete a work. If all the three, working together can complete the work in 22 days, then find the number of days A, B and C alone will take to complete this work

If sectheta+tantheta=5, then find sintheta=?

Show that the total number of permutations of n different things takenn not more than r at a time, when each thing may be repated any number of times is (n(n^(r)-1))/((n-1)).

A man can row 9 km/h in still water. it takes him twice as long as to row up as to row down find the rate of the stream of the river.

If a sum becomes Rs. 1352 in 2 years at 4% per annum compound interest then the sum is ?

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of mea- sures of their interior angles is 3:4. Then the num- ber of sides of each polygon are:

Four isosceles triangles are cut off from the corners of a square of area 400m^2. Find the area of new smaller square (in m^2).

If A=(log_(3) 2187)/5 and B = log_(243) 2187, then which of the following is correct?