8677 + Interview Questions in Maths in Class 14 Page 55 InterviewSolution

2701.	A boat covers 48 km upstream and 72 km downstream in 12 hours while it covers 72 km upstream and 48 km downstream in 13 hours the speed of stream is:
Answer» 2 km/h 2.2 km/h 2.5 km/h 4 km/h Answer :A

Discussion

2702.	7 Indian and 4 Chinese finish a job in 5 days. 7 Japanese and 3 Chinese finish the same job in 7 days. Given that the efficiency of each person of a particular riationiality is same but different from others. One Indian, one Chinese and one Japanese will complete the work in:
Answer» `18 3/13` DAYS `20 5/12` days `21 6/14` days `20 7/12` days Answer :B

Discussion

2703.	Having started from the same pint and at the same time, two runners A and B are running around a circular track of length 300m in opposite directions with speeds of 5m/s and 8m/s respectively. If they exchange their speeds after meeting for the first time, who will reach the starting point first?
Answer» ANSWER :A

Discussion

2704.	Find the sum of n terms of the series 1+3 +7 +15 + …
Answer» `[(2^@-1)-N]` `[(2^@-1)+n]` `[2(2^n-1)-n]` NONE of these Answer :C

Discussion

2705.	A mixture of a certain quantity of milk 16 L of wateris worth ? 0.75per liter. Ifpuremilk be worth? 2.25 per lite , then how much milk is there in the mixture ?
Answer» ANSWER :8 L

Discussion

2706.	ABCD is a square . Wis the mid point of AB sideof square is 16 cm. Find the radius of circle in figure
Answer» ANSWER :`(32)/(3 + 55)` CM

Discussion

2707.	Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is:
Answer» 21 24 28 84 Answer :C

Discussion

2708.	Given x+y= 2z, then (x)/(x-z) + (z)/(y-z)= ?
Answer» 0 1 2 3 Answer :B

Discussion

2709.	Assuming that profit of a shopkeeper in a particular commodity is a linear expression of transportation charge (t) and the quantity of commodity (q).He earns a profit of ₹10000 by selling 20 units at the transport charge of ₹ 400.He also earns a profit of ₹ 12000 by selling 25 units at the transport charge of ₹ 600.What is the linear expression in t and q?
Answer» ANSWER :A

Discussion

2710.	Find the minimum and maximum value of 5sin^(2)theta+10cos^(2)theta+12sinthetacostheta.
Answer» `(1, 12)` `(0, 14)` `(1,14)` `(-1, 14)` ANSWER :A::D

Discussion

2711.	A takes as much time as B and C together to complete a work. While A and B together can do this piece of work in 10 days. C alone can do this piece of work in 50 days. In how many days will this work be completed by B alone?
Answer» ANSWER :25 DAYS

Discussion

2712.	Four men and three women can do a job in six days. When five men and six women work on the same job, the work gets completed in four days. How long will two women and, three men take to do the job?
Answer» 18 days 134/8 days 8 4/13 days 7 days Answer :C

Discussion

2713.	What is the remainder when 1719xx1715xx1713 is divided by 17?
Answer» 1 16 3 none of these Answer :B

Discussion

2714.	Find the value of cos20^(@)+cos100^(@)+cos140^(@):
Answer» -1 0 1 none of these Answer :B

Discussion

2715.	[(3sqrt(8)+sqrt(8))xx(8sqrt(8)+7sqrt(8))]-98=?
Answer» `2sqrt(8)` `8sqrt(8)` 382 286 Solution :`?=[(3sqrt(8)+SQRT(8))XX(8sqrt(8)+7sqrt(8))]-98` `=(4sqrt(8)xx15sqrt(8))-98=(60xx8)-98` `=480-98=382`

Discussion

2716.	Ais twice as efficient as B.B started the work and after 4 days A joins B and the total work was complete in 9 days then B can complete whole work alone in :
Answer» 9.5 days 10 days 19 days 38 days Solution :A twice ecficient, so if B taken `2x`days to complete a work, then A taken `x` days to complete that work. Now, B worked for 9 days and A for `(9 -4)= 5` days S0,`1/xx 5 + 1/(2x) xx 9 = 1` `2x = 19` So, B is 19 days

Discussion

2717.	Wages of a labourer are increased by 12 (1)/(2) %and his working hoursare decreasedby 8%. Intially he used to earn Rs. 1200 for 50 hoursin a week. So findout : (i) His present wagesper hour. (ii)Hispercentage increase in his weekly wages.
Answer» ANSWER :`3 . 5 %, RS. 27`

Discussion

2718.	A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.
Answer» A) RS. 1250 B) Rs. 600 C) Rs. 900 D) Rs. 1500 Answer :B

Discussion

2719.	Find the value of tanA+tanB+tanC, if A+B+C=pi:
Answer» TANA TANB tanC 1 0 cotA COTB cotC Answer :A

Discussion

2720.	If oneroot of the quadratic equationax^(2)+bx+c=0 is equal to the nth powerof the other , then show that (ac^n)^((1)/(n+1))+(a^(n)c)^((1)/(n+1))+b=0.
Answer» `[(ac^n)^(1/(n+1))]+[(ca^n)^(1/(n+1))]+B^n=0` `[(ac^n)^(1/(n+1))]+[(ca^n)^(1/(n+1))]-b=0` `[(ac^n)^(1/(n+1))]+[(ca^n)^(1/(n+1))]+b=0` `[(ac^n)^(1/(n+1))]+[(ca^n)^(1/(n+1))]+1/(b^(n+1))=0` ANSWER :C

Discussion

2721.	A train runs 30% faster than a car both start at the same time from A and reach at B at the same time because there was a halt of 9 minutes for train. Find out the speed of car if the distance between A and B is 78 km.
Answer» ANSWER :120 km/h

Discussion

2722.	C is a point on the minor arc AB a circle with centre O. If angle AOB = 100^(@), what is angle ACB ?
Answer» `80^(@)` `90^(@)` `100^(@)` `130^(@)` ANSWER :D

Discussion

2723.	cos24^(@)+cos55^(@)+cos125^(@)+cos204^(@)+cos300^(@)=?
Answer» 2 `(-1)/(2)` 1 `(1)/(2)` ANSWER :A::B

Discussion

2724.	Which of the following statements is/are correct? The intersections of the angle bisectors of the quadrilateral are the vertices of the cyclic quadrilateral If diagonals of a cyclic quadrilateral perpendicularly intersect at point P, then the line through P, perpendicular to any side bisects the opposite side. The product of the lengths of the two diagonals of a cyclic quadrilateral is equal to the sum of the products of opposite sides.
Answer» (i) and (II) (ii) and (III) (i) and (iii) all of these Answer :C

Discussion

2725.	IF x is a real number x^(7)-x^(3)=1232. Find how many values are possible for x.
Answer» 2 3 1 0 Answer :d

Discussion

2726.	The ratio of the amount of work done by (x-1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5:6. Then the value of x is
Answer» a.12 b.14 C.8 d.None of the above Answer :C

Discussion

2727.	For a quadratic inequation ax^2+bx+cgt0having negative discriminant, the values of x that satisfy the given inequation
Answer» R only POSITIVE REAL numbers does not exist Either R or none Answer :B

Discussion

2728.	The marked price of a clock is3200. It is to be sold at2448 at two successive discounts. If the first discount is 10%, then the second discount is
Answer» 0.05 0.1 0.15 0.2 Answer :C

Discussion

2729.	Along distance runner runs 9 laps of a 400 metres track every day. His timings(in min) for four consecutive days are 88, 96, 89 and 87 respectively. One andaverage, how many metres/minute does the runner cover?17. 78b. 40c. 90d. none of these
Answer» 39 m/min 40 m/min 41 m/min 43 m/min Answer :B

Discussion

2730.	There are 2000 students in a college. Out of 2000 students some appeared in exams 'A','B' and 'C' While some not. Number of student not appered in any exam is equal to number of students appeared in exam 'C' only. Number of students appeared in exam 'B' us 720. Ratio of number of students appered in exam 'B' and 'C' only is 2:3 Number of students appeared in only exam 'C'. Number of student appeared in exam 'A' only is 50% more than number of students appeared in 'N' only. number of students appeared in all the three exam is 4% of the total number of students in the college. Number of students appeared in 'B' and exam only is same as number of students appeared in 'B' and 'C' only. How many students apperead in at least two exams ?
Answer» 480 520 600 720 Solution :Total sutdents =2000 Let, students appear in exam C only =a Total students appeared in exam B=720 Ratio of NUMBER appeard in exam B and C only =`2:3` Students appeared in exam A andC both =a/2 Numberof students appeared in all three exams `=(4)/(100)xx2000=80` Number of students appeared in B exam only = No. OFSTUDENTS appeared in B and C only = 3x Number of students appeared in exam A and B only `=(2)/(3)xx3x=2x` Now, `2x+3x+3x+80=720` `RARR x=80` and, ` 12.5x +a+(a)/(2)=2000` `(5a)/(a)=1000` `rArr a=400` Students appeared in alteast two exams `=160+120+80+240=260`

Discussion

2731.	Pratibha printers prepares diaries expecting to earn a profit of 40% by selling on the marked price. But during transportation 8% diaries were got spoiled due to at random rain and 32% could be sold only at 75% of the cost price. Thus, the remaining 60% diaries could be sold at the expected price. What is the net profit or loss in the whole consignment?
Answer» a)`6%` b)`10%` C)`8%` d)none of these Answer :C

Discussion

2732.	A seller uses 840 gm in place of 1 kg to sell his goods. Find his actual profit/loss % When he sells his article on 4% loss on cost price ?
Answer» a. 14.28 % profit b. 24.18 % profit c. 14.28 % loss d. 24.18 % loss Solution :TOTAL sutdents =2000 Let, students appear in EXAM C only =a Total students appeared in exam B=720 Ratio of number appeard in exam B and C only =`2:3` Students appeared in exam A ANDC both =a/2 Numberof students appeared in all three exams `=(4)/(100)xx2000=80` Number of students appeared in B exam only = No. ofStudents appeared in B and C only = 3x Number of students appeared in exam A and B only `=(2)/(3)xx3x=2x` Now, `2x+3x+3x+80=720` `rArr x=80` and, ` 12.5x +a+(a)/(2)=2000` `(5A)/(a)=1000` `rArr a=400` Studentsappeard in two exam only `=160+120+240=520`

Discussion

2733.	An item is sold at a loss of 10%. Had it sold for Rs. 9 more, a profit of 25/2% would have gained. What is the cost price of the item?
Answer» A. 48 B. 58 C. 40 D. 20 Solution :TOTAL sutdents =2000 LET, students appear in exam C only =a Total students appeared in exam B=720 Ratio of number appeard in exam B and C only =`2:3` Students appeared in exam A andC both =a/2 Numberof students appeared in all three exams `=(4)/(100)xx2000=80` Number of students appeared in B exam only = No. ofStudents appeared in B and C only = 3x Number of students appeared in exam A and B only `=(2)/(3)xx3x=2x` Now, `2x+3x+3x+80=720` `RARR x=80` and, ` 12.5x +a+(a)/(2)=2000` `(5a)/(a)=1000` `rArr a=400` Students appeared in atmost two examsltbgt `=360+240+400+120+160+240+400+=1920`

Discussion

2734.	A salesman calculated his profit on the marked price and finds it to be 30%. He forgets the fact that he gave a discount of 20%. What is his actual profit percentage?
Answer» A. 100/7% B.18.4% C.260/11% D. 22.5% Solution :Total sutdents =2000 Let, STUDENTS appear in exam C only =a Total students appeared in exam B=720 Ratio of number appeard in exam B and C only =`2:3` Students appeared in exam A andC both =a/2 Numberof students appeared in all THREE exams `=(4)/(100)xx2000=80` Number of students appeared in B exam only = No. ofStudents appeared in B and C only = 3x Number of students appeared in exam A and B only `=(2)/(3)xx3x=2x` Now, `2x+3x+3x+80=720` `rArr x=80` and, ` 12.5x +a+(a)/(2)=2000` `(5a)/(a)=1000` `rArr a=400` Student not appeared I N exam `B=200-720=1280`

Discussion

2735.	The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price?
Answer» A. 480 B. 420 C. 1000 D. 1360 Solution :Total sutdents =2000 LET, students APPEAR in exam C only =a Total students appeared in exam B=720 Ratio of NUMBER appeard in exam B and C only =`2:3` Students appeared in exam A andC both =a/2 Numberof students appeared in all three exams `=(4)/(100)xx2000=80` Number of students appeared in B exam only = No. OFSTUDENTS appeared in B and C only = 3X Number of students appeared in exam A and B only `=(2)/(3)xx3x=2x` Now, `2x+3x+3x+80=720` `rArr x=80` and, ` 12.5x +a+(a)/(2)=2000` `(5a)/(a)=1000` `rArr a=400` Students appeared in examA or in exam C `=360+120+80+160+400+200=1360`

Discussion

2736.	If a/b=c/d=e/f=9/5 then (2a + 3c + 5e)/( 2b + 3d + 5f) = ?
Answer» `3/4` `2/5` `9/5` `3/7` ANSWER :C

Discussion

2737.	56 workers canfinish a piece of work in 14 days. If the work is to be completed in 8 days, then how many extra workers are required ?
Answer» 36 48 44 42 Solution :Here, `M_(1) = 56, D_(1)=14,M_(2)=?,D_(2)=8` `M_(1) D_(1)=M_(2)D_(2)` `56xx14 =M_(2) xx 8` `rArr M_(2) = 98` Hence, EXTRA WORKERS to be required `= 98 - 56 = 42`

Discussion

2738.	If ""^(15)C_(3r) = ""^(15)C_(r+3), find r.
Answer» ANSWER :3

Discussion

2739.	A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) What is the value of A(2, 3, 4)+B(2, 3, 4)?
Answer» 13 4 7 none of these Answer :C

Discussion

2740.	Find the value of(94)^3
Answer» SOLUTION : `THEREFORE (94)^3 = 830584`

Discussion

2741.	Kishan Chand is a verylabourious farmer , he erected a fence around his paddy field in a square shape . He used 26 poles in each side , each at a distance of 4 m . What is the area of field ?
Answer» 1.6 HECTARE 2.6 hectare 5.76 hectare 1 hectare ANSWER :D

Discussion

2742.	The rate of interest in two hanks DNB and HBI are in the ratio of 7: 8. If a person invested some amount in both the banks and received equal amounts from both the banks in two years. The ratio of amount invested in DNB and HBI, respectively is:
Answer» `15:1` `8:7` `7:8` `108:107` ANSWER :B

Discussion

2743.	Three fair coins are tossed. Find the probability that they are all tails, if one of the coins shows a tail.
Answer» `2/7` `5/14` `1/7` NONE of these Answer :C

Discussion

2744.	How many balls each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9cmxx11cmxx12cm?
Answer» 72 96 84 98 Answer :C

Discussion

2745.	If x = sqrt(6 + sqrt(6 + sqrt(6 + sqrt(6 + …oo)))), then what is one of the values of x equal to?
Answer» 6 5 4 3 Answer :D

Discussion

2746.	Find the distance between two lines 3x+4y=13 and 3x+4y-12=0
Answer»

Discussion

2747.	The ratio of ages of Rahul and Deepesh is 3:5, 10 years later this ratio becomes 5:7. What is the present age of Deepesh?
Answer» 20 years 50 years 25 years 40 years Answer :C

Discussion

2748.	A trader imported a bicycle for ₹ 40000 and marked it up by f ₹ 60000. Further, he instructed his servant to given two successive discounts of x% and y% in such a way that xy=25,x,ygt=l. If his overall profit/loss percentage is p, what could be the possible value of p?
Answer» 11.375ltplt35.375 `85.625leple125.625` 25ltplt625 60ltplt715 Answer :B

Discussion

2749.	(1444)^(1/2)+(56.007)/(1.225) "of" 123=?
Answer» 1. 5600 2. 6550 3. 6552 4. 5662 Solution :`38+45.72(123)=5661.56=5662`

Discussion

2750.	Krishna has 12 oranges. He sells x of them at a profit of 10% and remaining at a loss of 10%. He gains 5% on the whole outlay. The value of x is.
Answer» ANSWER :9

Discussion

Explore topic-wise InterviewSolutions in .

A boat covers 48 km upstream and 72 km downstream in 12 hours while it covers 72 km upstream and 48 km downstream in 13 hours the speed of stream is:

7 Indian and 4 Chinese finish a job in 5 days. 7 Japanese and 3 Chinese finish the same job in 7 days. Given that the efficiency of each person of a particular riationiality is same but different from others. One Indian, one Chinese and one Japanese will complete the work in:

Having started from the same pint and at the same time, two runners A and B are running around a circular track of length 300m in opposite directions with speeds of 5m/s and 8m/s respectively. If they exchange their speeds after meeting for the first time, who will reach the starting point first?

Find the sum of n terms of the series 1+3 +7 +15 + …

A mixture of a certain quantity of milk 16 L of wateris worth ? 0.75per liter. Ifpuremilk be worth? 2.25 per lite , then how much milk is there in the mixture ?

ABCD is a square . Wis the mid point of AB sideof square is 16 cm. Find the radius of circle in figure

Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is:

Given x+y= 2z, then (x)/(x-z) + (z)/(y-z)= ?

Find the minimum and maximum value of 5sin^(2)theta+10cos^(2)theta+12sinthetacostheta.

A takes as much time as B and C together to complete a work. While A and B together can do this piece of work in 10 days. C alone can do this piece of work in 50 days. In how many days will this work be completed by B alone?

Four men and three women can do a job in six days. When five men and six women work on the same job, the work gets completed in four days. How long will two women and, three men take to do the job?

What is the remainder when 1719xx1715xx1713 is divided by 17?

Find the value of cos20^(@)+cos100^(@)+cos140^(@):

[(3sqrt(8)+sqrt(8))xx(8sqrt(8)+7sqrt(8))]-98=?

Ais twice as efficient as B.B started the work and after 4 days A joins B and the total work was complete in 9 days then B can complete whole work alone in :

Wages of a labourer are increased by 12 (1)/(2) %and his working hoursare decreasedby 8%. Intially he used to earn Rs. 1200 for 50 hoursin a week. So findout : (i) His present wagesper hour. (ii)Hispercentage increase in his weekly wages.

Find the value of tanA+tanB+tanC, if A+B+C=pi:

If oneroot of the quadratic equationax^(2)+bx+c=0 is equal to the nth powerof the other , then show that (ac^n)^((1)/(n+1))+(a^(n)c)^((1)/(n+1))+b=0.

A train runs 30% faster than a car both start at the same time from A and reach at B at the same time because there was a halt of 9 minutes for train. Find out the speed of car if the distance between A and B is 78 km.

C is a point on the minor arc AB a circle with centre O. If angle AOB = 100^(@), what is angle ACB ?

cos24^(@)+cos55^(@)+cos125^(@)+cos204^(@)+cos300^(@)=?

IF x is a real number x^(7)-x^(3)=1232. Find how many values are possible for x.

The ratio of the amount of work done by (x-1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5:6. Then the value of x is

For a quadratic inequation ax^2+bx+cgt0having negative discriminant, the values of x that satisfy the given inequation

The marked price of a clock is3200. It is to be sold at2448 at two successive discounts. If the first discount is 10%, then the second discount is

Along distance runner runs 9 laps of a 400 metres track every day. His timings(in min) for four consecutive days are 88, 96, 89 and 87 respectively. One andaverage, how many metres/minute does the runner cover?17. 78b. 40c. 90d. none of these

A seller uses 840 gm in place of 1 kg to sell his goods. Find his actual profit/loss % When he sells his article on 4% loss on cost price ?

An item is sold at a loss of 10%. Had it sold for Rs. 9 more, a profit of 25/2% would have gained. What is the cost price of the item?

A salesman calculated his profit on the marked price and finds it to be 30%. He forgets the fact that he gave a discount of 20%. What is his actual profit percentage?

The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price?

If a/b=c/d=e/f=9/5 then (2a + 3c + 5e)/( 2b + 3d + 5f) = ?

56 workers canfinish a piece of work in 14 days. If the work is to be completed in 8 days, then how many extra workers are required ?

If ""^(15)C_(3r) = ""^(15)C_(r+3), find r.

A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) What is the value of A(2, 3, 4)+B(2, 3, 4)?

Find the value of(94)^3

Kishan Chand is a verylabourious farmer , he erected a fence around his paddy field in a square shape . He used 26 poles in each side , each at a distance of 4 m . What is the area of field ?

The rate of interest in two hanks DNB and HBI are in the ratio of 7: 8. If a person invested some amount in both the banks and received equal amounts from both the banks in two years. The ratio of amount invested in DNB and HBI, respectively is:

Three fair coins are tossed. Find the probability that they are all tails, if one of the coins shows a tail.

How many balls each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9cmxx11cmxx12cm?

If x = sqrt(6 + sqrt(6 + sqrt(6 + sqrt(6 + …oo)))), then what is one of the values of x equal to?

Find the distance between two lines 3x+4y=13 and 3x+4y-12=0

The ratio of ages of Rahul and Deepesh is 3:5, 10 years later this ratio becomes 5:7. What is the present age of Deepesh?

A trader imported a bicycle for ₹ 40000 and marked it up by f ₹ 60000. Further, he instructed his servant to given two successive discounts of x% and y% in such a way that xy=25,x,ygt=l. If his overall profit/loss percentage is p, what could be the possible value of p?

(1444)^(1/2)+(56.007)/(1.225) "of" 123=?

Krishna has 12 oranges. He sells x of them at a profit of 10% and remaining at a loss of 10%. He gains 5% on the whole outlay. The value of x is.