8677 + Interview Questions in Maths in Class 14 Page 28 InterviewSolution

1351.	If a ,b ,care respectively the p^(t h),q^(t h)a n dr^(t h)terms of a G.P. show that (q-r)loga+(r-p)logb+(p-q)logc=0.
Answer» 0 1 `-1` pqr Answer :A

Discussion

1352.	find f(8) iff(x)=x^2+2x−3
Answer» 77 75 70 80 Answer :D

Discussion

1353.	Let f(x) be a quadratic expression, which is positive for all real x. Let f(x)=ax^2+bx+c,f'(x)=2ax+b, f''(x)=2a, where f'(x) and f"(x) are the first and second derivatives of f(x), respectively. If g(x)=f(x)+f'(x)+f''(x), then for every real x
Answer» `g(X)gt0` `g(x)LT0` `g(x)GE0` `g(x)le0` Answer :A

Discussion

1354.	What is the ratio of side and height of an equilateral triangle?
Answer» 2:1 1:1 `2:SQRT3` `sqrt3:2` ANSWER :C

Discussion

1355.	Mr. Vellu buys a generator for Rs 100000 and rents if. He puts 12.5% of each month’s rent aside for upkeep and repairs, pays Rs 325 per year as taxes and realizes 5.5% annually on his investment. Find the monthly rent.
Answer» ANSWER :RS. 554.76

Discussion

1356.	Two roots of equation of 2x^(2)-7x+12=0 are alpha " &" beta then find (alpha)/(beta) + (beta)/(alpha)= ?
Answer» ANSWER :`(1)/(24)`

Discussion

1357.	When simplified the product(1 - (1)/(3)) (1 - (1)/(4)) (1- (1)/(5)) …. (1 - (1)/(n)) becomes :
Answer» `(1)/(N)` `(2)/(n)` `(2(n - 1))/(n)` `(2)/(n(n+1))` ANSWER :B

Discussion

1358.	There are 30 workers in a factory. If the number of workers increases by 10, then the total wages increased by Rs. 9000 per day while the average wages per worker decreases by Rs. 75. Find the original total wages of factory.
Answer» ANSWER :RS. 36000

Discussion

1359.	What is the least possible no. which must be added to 4722, so that it becomes divisible by 21, 25, 27 and 35 ?
Answer» ANSWER :3

Discussion

1360.	A train leaves Manipur at 6:00 am and reaches Dispurat 10:00 am. Another train leaves Dispurat 8:00 am and reaches Manipur at 11 : 30 am. At what time do the two trains cross each other?
Answer» `7:56` AM ` 7 : 56` PM `8:56` AM `8:56` PM Answer :C

Discussion

1361.	Find the sum due, if the true discount on a sum due 2 yr hence at 7% be X672.
Answer» X 5500 X 5425 X 5472 X 5300 Answer :C

Discussion

1362.	The sum of three numbers in A.P. is 15 and sum of their squares is 93. Find the greatest number :
Answer» 6 10 8 7 Answer :C

Discussion

1363.	At Atharva Prakashan every book goes through 3 phases – typing, composing and binding. There are 16 typists, 10 composers and 15 binders. A typist can type 8 books in each hour, a composer can compose 12 books in each hour and a binder can bind 12 books in each hour. All the people at Atharva Prakashan work for 10 hours a day and each person is trained to do only one type of job.How many books can be prepared in each day?
Answer» 1500 1200 1440 1380 Answer :B

Discussion

1364.	A number is expressed as 2^mxx3^n and the sum of all its factors is 124, find m and n.
Answer» 2, 3 3, 1 4,1 3, 2 Answer :C

Discussion

1365.	A uu B = A , then
Answer» `A SUB B` `B sub A ` `A CANCEL(sub) B ` and `B cancel(sub) A` NONE of these ANSWER :b

Discussion

1366.	Find the number of possible HCF values for N, N + 25?
Answer» 9 7 6 none of these Answer :A

Discussion

1367.	A decimal number 'm' (say) can be expressed as m=1+D where lrarr integer part and Drarr decimal part, 0leDlt1 and [m]= greatest integer less than or equal to m if 0ltDlt0.5 Hence, f(x, y)={{:([x+y]if0ltDlt0.5),({x+y} if 0.5leDlt1),((x+y)" otherwise"):} "Also,"F(f(x, y))=-f(x, y) "and"G(f(x, y))=-F(f(x, y)) Which of the following statements is true if x and y are positive ?
Answer» `F(f(X, y)).G(f(x, y)) = -F(f(x, y)).G(f(x, y))` `F(f(x, y)).G(f(x, y)) GT -F(f(x, y)).G(f(x, y))` `F(f(x, y)).G(f(x, y))NEG(f(x, y)).F(f(x, y))` `F(f(x, y)+G(f(x, y))+F(x, y)=F(x, y)` Answer :D

Discussion

1368.	A decimal number 'm' (say) can be expressed as m=1+D where lrarr integer part and Drarr decimal part, 0leDlt1 and [m]= greatest integer less than or equal to m if 0ltDlt0.5 Hence, f(x, y)={{:([x+y]if0ltDlt0.5),({x+y} if 0.5leDlt1),((x+y)" otherwise"):} "Also,"F(f(x, y))=-f(x, y) "and"G(f(x, y))=-F(f(x, y)) What is the vlaue of the following f(G(f(1.2,1.3))), f(F(f(0, 1))), G(g,(0.8,0.4)))?
Answer» 1 2 3 4 Answer :C

Discussion

1369.	How much percent will the area of a rectangle exceed if its length is increased by 23%and breadth is increased by 9% .
Answer» ANSWER :`34.07%`

Discussion

1370.	A decimal number 'm' (say) can be expressed as m=1+D where lrarr integer part and Drarr decimal part, 0leDlt1 and [m]= greatest integer less than or equal to m if 0ltDlt0.5 Hence, f(x, y)={{:([x+y]if0ltDlt0.5),({x+y} if 0.5leDlt1),((x+y)" otherwise"):} "Also,"F(f(x, y))=-f(x, y) "and"G(f(x, y))=-F(f(x, y)) Which of the following expressions will yeild a number which has a positive integral square root if if x, y are positive
Answer» `G(F(1.2, 1.3))xxf(F(f(2,1).G)g)4,1))` `F(f(2,2))+G(f(2, 2))` `f(1.1,1.2)xxG(f(1.1,1.2))` `G(g(0,1))xxG(g(0,1))` ANSWER :C

Discussion

1371.	Simplify:- 26 * 451 - ? = 5109
Answer» a. 6617 B. 5617 c. 6627 d. 6597 Answer :B

Discussion

1372.	Simplify:- 1/4th of 1/2th of 3/4th of 52000 = ?
Answer» a. 4785 b. 4877 c. 4857 d. 4875 Answer :A

Discussion

1373.	If p, q, r be three positive numbers such that p gt q gt r when the smallest number is added to the difference of the rest two numbers, then the average of the resultant number and the original numbers except to the smallest is 21 more than the average of all the three numbers. The value of (p-q) is :
Answer» 7 14 63 42 Answer :C

Discussion

1374.	If (x-1/x)=4 then the value of (x^2+1/x^2) is
Answer» 16 18 `18sqrt3` NONE of these Answer :B

Discussion

1375.	Passing marks in an examination are 40%. If a candidate gets 65 marks and fails by 15 marks, the maximum marks in the examination are
Answer» 250 180 220 200 Answer :A

Discussion

1376.	Find the remainder when (25)^(25) is divided by 26.
Answer» 0 1 25 24 Answer :C

Discussion

1377.	2/3 part of my sum is lent out at 3%, 1/6 part is lent out at 6% and remaining part is lent out at 12%. All the three parts are lent out at simple interest. If the annual income is25, what is the sum?
Answer» 500 650 600 450 Solution : N/A

Discussion

1378.	A boatman goes 21 km in the direction of current and then comes back. Total time taken is 10 hours. Time taken to go 7 km in the direction of current is equal to time taken to go 3 km against the direction of current. Find the speed of current and speed of boat in still water.
Answer» SOLUTION :N/A

Discussion

1379.	Area of parallelogram 1000 cm^(2) and ratio of two adjacent sides 3 : 2. If the distance between larger sides is 20cm, then, find the distance between smaller sides?
Answer» ANSWER :30 CM

Discussion

1380.	Sixty delegates from three different countries participated in a recent Disaster Management Conclave. Each such country is divided into four states and each such state is further divided into five cities. Each delegate was representing a different city. In that conclave any two delegates shook hands with each other exactly two times. However, if any two delegates are from the same country they shook hands five times and if any two delegates are from the same state they shook their hands nine times. What was the total number of handshakes amongst the delegates?
Answer» 1200 5730 7370 3540 Answer :B

Discussion

1381.	Walking at four fifth of his usual speed Vijay malya reaches his office 15 min late on particular day.the next day he walked at 5/4 of his usaul speed how early would he be to the office when compared to the previous day?
Answer» 27 min 32 min 30 min none of these Answer :A

Discussion

1382.	findthe value of n, if""^(n) P_5 = 20 ""^(n)P_3.
Answer» 5 8 6 4 Answer :B

Discussion

1383.	From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The initial amount of wine in the container was :
Answer» 75 litres 100 litres 150 litres 120 litres Answer :D

Discussion

1384.	X' can complete a work in 40 days while Y is 20% more effi- cient then 'X' .'Y' worked for 8 days and lift, remaining work is completed by 'Z' in 20 days. Find in how many days 'Z' can ltbegt complete the whole work alone?
Answer» 27 days 21 days 18 days 26 days Solution :Y Can COMPLETE work alone in `=40 xx 5/6 = 33` days (APPROX) Let Z alone can complete work in 't' days. ATQ, `8/33+20/t = 1` `rArr 20/t = 25/33rArr X = (20xx33)/25 = 26` days (approx)

Discussion

1385.	If 12 engine consume 30 metric tonnes of coal when each is running 18 h per day, how much coal will be required for 16 engines, each running 24 h per day, it being given that 6 engies of former type consume as much as 8 engines of latter type ?
Answer» 10 TONNES 5 tonnes 2 tonnes 40 tonnes Answer :D

Discussion

1386.	If sinalphasec(30^(@)+alpha)=1(0^(@)ltalphalt60^(@)), then find the value of sinalpha+cos2alpha.
Answer» 1 `(2+SQRT(3))/(2sqrt(3))` 0 `sqrt(2)` ANSWER :A

Discussion

1387.	Two trains start simultaneously from two stations howrah and bandra, respectively towards each other on the same track. The distance between the two stations is 560 km and the speed of trains are 30 and 40km/h. Simultaneously with the trains a sparrow sitting on the top of one of the train starts towards the other and reverses its direction on reaching the other train and so on . If the speed of sparrow is 80 km/h then the distance that the sparrow flies before being crushed between the train is:
Answer» 70 km 560 km 640km 650 km Answer :C

Discussion

1388.	How many numbers are there from 100 to 285 which are divisible by 5?
Answer» 40 38 35 42 Answer :D

Discussion

1389.	P and Q are 27 km away. Two trains with speed of 24 km/hr and 18 km/ hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Find distance QR
Answer» ANSWER :81 KM

Discussion

1390.	A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item
Answer» a.960 b.760 c.660 d. 180 Solution :Required PERCENTAGE `=(240)/(376)XX100` `=63.829%, 64%`

Discussion

1391.	Harsh Uday and Bharti invested in ratio 2:3:4. After 4 months Udat added Rs. 3000 more in his investment and Harsh withdrew Rs. 1600 from his investment. After six more months Bharti added to her investment a amount equal to half of the investment done by Harsh in four month and Uday invested 50% more than the investment done by bharti in first 10 months whereas Harsh added to his investment and amount that is equal to investment done by uday in first four months. Ratio of profit Bharti to total profit at the end of year is given as 12:376. Panas have 250% more than initial investment of Bharti for a year. Find total interest eaarned by him if he invested his amount in a scheme which offers 20% P.A compound interest for 2 years ?
Answer» Rs. 140 Rs. 1500 Rs. 1540 Rs. 1600 Solution :Investement of Panas `=4xx250xx(350)/(100)=3500` Interest EARNED by Panas `=3500[1+(20)/(100)]^(2)-3500=1540`

Discussion

1392.	Harsh Uday and Bharti invested in ratio 2:3:4. After 4 months Udat added Rs. 3000 more in his investment and Harsh withdrew Rs. 1600 from his investment. After six more months Bharti added to her investment a amount equal to half of the investment done by Harsh in four month and Uday invested 50% more than the investment done by bharti in first 10 months whereas Harsh added to his investment and amount that is equal to investment done by uday in first four months. Ratio of profit Bharti to total profit at the end of year is given as 12:376. What is the difference btewen profit share of Harsh and Uday if total profit is Rs. 37,600 ?
Answer» 12,00 16400 18500 22900 Solution :REQUIRED DIFFERENCE `=(240-11)/(376)xx37600=22,900` `=22,900`

Discussion

1393.	find the value of expression (sin2x)/(1+cos2x) is:
Answer» tan2x cos2x tanx none of these Answer :C

Discussion

1394.	Rs. 2550 was borrowed for 2 years. Find each installment if rate of interest is 4%.
Answer» ANSWER :RS. 1352

Discussion

1395.	Answer these questions based on the following information. An electronic goods store has 3 boxes of pen drives. The capacity of each pen drive is n GB, where n in N. The first box has 3 identical pen drives, each of 4 GB storage capacity, second box has 4 identical pen-drives, each of 2 GB storage capacity, and third box has 5 pen drives, each of varying or distinct storage capacities other than 2 GB and 4 GB. All the pen drives are of the same make, colour and design. Find the number of ways of selecting any 2 distinct pen drives .
Answer» (A) 19 (B) 20 (C) 21 (D) 66 Answer :C

Discussion

1396.	If the diagonal of a square field is 16 m, what is its area?
Answer» 132 `m^2` 130 `m^2` 128 `m^2` 126 `m^2` ANSWER :A

Discussion

1397.	If the perimeter of a square is 24 cm, one of the sides of the square is
Answer» 2 cm 6 cm 8 cm 12 cm Answer :C

Discussion

1398.	In an examination, 25% candidates failed in English and 35 % students failed in Math. If 15 % candidates failed in both, what is the percentage of candidates who passed in both the subjects?
Answer» 58 % 55 % 50 % 45 % ANSWER :C

Discussion

1399.	What is the value of (25.732)^2 - (15.732)^2?
Answer» 414.64 414.256 414.128 414.52 Answer :A

Discussion

1400.	Find the value of 25% of 10% of Rs. 800.
Answer» 35 30 20 25 Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

If a ,b ,care respectively the p^(t h),q^(t h)a n dr^(t h)terms of a G.P. show that (q-r)loga+(r-p)logb+(p-q)logc=0.

find f(8) iff(x)=x^2+2x−3

Let f(x) be a quadratic expression, which is positive for all real x. Let f(x)=ax^2+bx+c,f'(x)=2ax+b, f''(x)=2a, where f'(x) and f"(x) are the first and second derivatives of f(x), respectively. If g(x)=f(x)+f'(x)+f''(x), then for every real x

What is the ratio of side and height of an equilateral triangle?

Mr. Vellu buys a generator for Rs 100000 and rents if. He puts 12.5% of each month’s rent aside for upkeep and repairs, pays Rs 325 per year as taxes and realizes 5.5% annually on his investment. Find the monthly rent.

Two roots of equation of 2x^(2)-7x+12=0 are alpha " &" beta then find (alpha)/(beta) + (beta)/(alpha)= ?

When simplified the product(1 - (1)/(3)) (1 - (1)/(4)) (1- (1)/(5)) …. (1 - (1)/(n)) becomes :

There are 30 workers in a factory. If the number of workers increases by 10, then the total wages increased by Rs. 9000 per day while the average wages per worker decreases by Rs. 75. Find the original total wages of factory.

What is the least possible no. which must be added to 4722, so that it becomes divisible by 21, 25, 27 and 35 ?

A train leaves Manipur at 6:00 am and reaches Dispurat 10:00 am. Another train leaves Dispurat 8:00 am and reaches Manipur at 11 : 30 am. At what time do the two trains cross each other?

Find the sum due, if the true discount on a sum due 2 yr hence at 7% be X672.

The sum of three numbers in A.P. is 15 and sum of their squares is 93. Find the greatest number :

A number is expressed as 2^mxx3^n and the sum of all its factors is 124, find m and n.

A uu B = A , then

Find the number of possible HCF values for N, N + 25?

How much percent will the area of a rectangle exceed if its length is increased by 23%and breadth is increased by 9% .

Simplify:- 26 * 451 - ? = 5109

Simplify:- 1/4th of 1/2th of 3/4th of 52000 = ?

If (x-1/x)=4 then the value of (x^2+1/x^2) is

Passing marks in an examination are 40%. If a candidate gets 65 marks and fails by 15 marks, the maximum marks in the examination are

Find the remainder when (25)^(25) is divided by 26.

2/3 part of my sum is lent out at 3%, 1/6 part is lent out at 6% and remaining part is lent out at 12%. All the three parts are lent out at simple interest. If the annual income is25, what is the sum?

A boatman goes 21 km in the direction of current and then comes back. Total time taken is 10 hours. Time taken to go 7 km in the direction of current is equal to time taken to go 3 km against the direction of current. Find the speed of current and speed of boat in still water.

Area of parallelogram 1000 cm^(2) and ratio of two adjacent sides 3 : 2. If the distance between larger sides is 20cm, then, find the distance between smaller sides?

Walking at four fifth of his usual speed Vijay malya reaches his office 15 min late on particular day.the next day he walked at 5/4 of his usaul speed how early would he be to the office when compared to the previous day?

findthe value of n, if""^(n) P_5 = 20 ""^(n)P_3.

From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The initial amount of wine in the container was :

X' can complete a work in 40 days while Y is 20% more effi- cient then 'X' .'Y' worked for 8 days and lift, remaining work is completed by 'Z' in 20 days. Find in how many days 'Z' can ltbegt complete the whole work alone?

If 12 engine consume 30 metric tonnes of coal when each is running 18 h per day, how much coal will be required for 16 engines, each running 24 h per day, it being given that 6 engies of former type consume as much as 8 engines of latter type ?

If sinalphasec(30^(@)+alpha)=1(0^(@)ltalphalt60^(@)), then find the value of sinalpha+cos2alpha.

How many numbers are there from 100 to 285 which are divisible by 5?

P and Q are 27 km away. Two trains with speed of 24 km/hr and 18 km/ hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Find distance QR

A man buys an item at Rs. 1200 and sells it at the loss of 20 percent. Then what is the selling price of that item

find the value of expression (sin2x)/(1+cos2x) is:

Rs. 2550 was borrowed for 2 years. Find each installment if rate of interest is 4%.

If the diagonal of a square field is 16 m, what is its area?

If the perimeter of a square is 24 cm, one of the sides of the square is

In an examination, 25% candidates failed in English and 35 % students failed in Math. If 15 % candidates failed in both, what is the percentage of candidates who passed in both the subjects?

What is the value of (25.732)^2 - (15.732)^2?

Find the value of 25% of 10% of Rs. 800.