8677 + Interview Questions in Maths in Class 14 Page 58 InterviewSolution

2851.	80% of a smaller number is 4 less than 40% of a larger number. The larger number is 85 greater than the smaller one. The sum of these two number is :
Answer» 325 425 235 500 Answer :C

Discussion

2852.	If (a,n) in I^(+) and (a,n) > 1, then the remainder when [(a + 1)^(2n - 1) - 1] is divided by (a - 1) is:
Answer» 1 a-1 n none of these Answer :D

Discussion

2853.	If f(x)=(1)/(x), x ne 0 f^(n)(x)=f(f^(n-1)(x)) and f^(12)(x)=11, what is the vlaue of f(x)=?
Answer» 1 2 44501 none of these Answer :C

Discussion

2854.	On an average 300 people watch the movie in sahu cinema hall on Monday,Tuesday and Wednesday and the average number of visitors on Thursday and Friday is 250 if the average number of visitors per day in the week be 400 then the average number of people who watch the movie in the weekends (i.e.on saturday and sunday)is:
Answer» 500 600 700 none of these Answer :C

Discussion

2855.	Three numbers p, q, r are such that p^q = q^r, where p, q, r > 1 then the correct relation between q and r is :
Answer» Q/r =1 `qltr` q GT r indeterminable Answer :D

Discussion

2856.	One pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?
Answer» 8 minutes 10 minutes 12 minutes 14 minutes Solution :LET P takes X minutes to fill the tank alone, then Q will take 4x minutes to fill the tank `4x-x+45, x=15` So P will take 15 minutes and Q will take 60 minutes to fill the tank. Both will fill the tank in `(60xx15)/75 = 12` minutes

Discussion

2857.	If x^3 + 5x^2+10k leaves remainder -2x when divided by x^2+2 then the value of k is:
Answer» -2 -1 1 2 Answer :C

Discussion

2858.	Let ABC be an arbitrary triangle, and P be any point inside. Let d_1, d_2 and d_3 denote the perpendicular distancea from P to the sides BC, CA and AB respectively. Let h_1, h_2 and h_3 denote, reapectively, the length of the altitudse from A, B and C to the opposite sides of the triangle, then d_1/h_1 + d_2/h_2 + d_3/h_3 is
Answer» A)`SQRT 3` B)3 C)1 D)`PI` ANSWER :C

Discussion

2859.	If the perimeter of rhombus is 150 cm and length of one diagonal is 50 cm. Then find the length of second diagonal and area of rhombus.
Answer» ANSWER :`625sqrt(5)CM^(2)`

Discussion

2860.	A dog starts chasing to a cat 2 hours later it takes 2 hours to dog to catch the cat.if the speed of the dog is 30 km/h what is the speed of the cat?
Answer» 10 km/h 15 km/h 20 km/h can't be determined Answer :B

Discussion

2861.	If the compound interest on a certain sum for 2 years at 4% per annum is Rs. 102 the simple interest at the same rate of interest for two years would be
Answer» ANSWER :RS. 100

Discussion

2862.	The selling price of 13 articles is same as the cost price of 23 articles. What is the profit percentage?
Answer» `43.47%` `74.83%` `78%` `76.92%` ANSWER :D

Discussion

2863.	A. vessel contains 5 litres of Liquid A and 20 litres of Liquid B. 20% of the contents of the vessel are removed. To the remaining contents, x litres of Liquid A is added to reverse the ratio of Liquid A and Liquid B. Then y litres of Liquid B is added again to reverse the ratio of Liquid A and Liquid B. Quantity I: Value of 'y' Quantity II: Value of 'x'(a) QuantityI= Quantity II or No relation(b) QuantityI≤ Quantity II(c) QuantityI≥ Quantity II(d) QuantityI> Quantity II
Answer» Quantity `I=` Quantity II or No relation Quantity `I le` Quantity II Quantity `I ge` Quantity II Quantity `Igt` Quantity II Solution :After `20%` of the contents of the vessel are romoved, Remaining contents `=(80)/(100)(25)=20` litres. Ratio of Liquid A and Liquid B in it `=1:4.` `therefore` It contains `4/5(10)=8` litres of Liquid B and 2 litres of Liquid A. To reverse the ratio, 2 litres of Liquid A must be MADE 32 litres. `thereforex=30` litres of Liquid A must be added. To reverse this ratio again 8 litres of Liquid B must be made `4(32)=128` litres. `therefore y=128-8=120` litres of Liquid B must be added. Quantity I: 'y' = 120 litres Quantity II: 'x' = 30 litres Quantity `I gt` Quantity II

Discussion

2864.	The value of tan 315^(@)cot(-405^(@)) is equal to
Answer» `-1` `1` `0` `2` ANSWER :B

Discussion

2865.	Mutiply 1203 by 1207.
Answer» Solution :Step 1: `3 xx 7 = 21` Step 2: `1203 xx 1207 = 1452021`

Discussion

2866.	If the different permutations of the word PRODIGIOUS are listed as in a dictionary, then what is the rank of theword PRODIGIOUS?
Answer» a. 200966 B. 609902 c. 12500 d. 24800 Answer :B

Discussion

2867.	C_(1) and C_(2) are two concentric circles with centres at O. Their radii are 12 cm and 3 cm respectively. B is the point of contact oftangents drawn to C_(2) from a point A lying on the circle C_(1). Then the area of the triangle OAB is :
Answer» `(9 sqrt(15))/(2)` SQ. CM `12 sqrt(15)` sq. cm `9 sqrt(15)` sq. cm `6 sqrt(15)` sq. cm Answer :A

Discussion

2868.	IF HCF of two numbers is 4 and sum of both number is 36. How mony pair of numbers are possible .
Answer» ANSWER :`=3`

Discussion

2869.	If you travel between Mumbai and Pune, you have to go through a 10 km long tunnel. Lately there has been a surge in the incidents of loot and plunder and many passengers have been harassed and injured inside the tunnel. Considering the enormity of the law and order problem, highway police decided to establish 4 security posts in order to ensure the safety of life and luggage of commuters. The minimum distance between any two postsmust be n is 1 km. Each security post must be n km (n= o, 1, 2, 3,...) apart from entry/exit of the tunnel and none of them will be outside the tunnel. Find the number of ways of selecting the spots for upcoming security posts.
Answer» 330 110 66 120 Answer :A

Discussion

2870.	If 187! is divisible by15^(n)then find the maximum value of n.
Answer» 45 50 46 48 Answer :a

Discussion

2871.	Two bullets are fired from a place at an interval of 5 minutes. A person approaching that place hears it at the gap of 4 minutes, 30 seconds. If speed of sound in 330 m/s then what is the speed of person (in km/ h).
Answer» ANSWER : 132 km/h

Discussion

2872.	Factorization of Polynomial or expression- x^(2) + 5x + 6
Answer» ANSWER :`(X+3) (x +2)`

Discussion

2873.	The ratio of semiperimeter of a parallelogram to its longer side is same as the ratio of its longer side to its shorter side. If the shorter side measures 2 cm, find the maximum possible area of the parallelogram.
Answer» `2(sqrt5+2)` `2(1+sqrt5)` `4(1+sqrt5)` DATA insufficient Answer :B

Discussion

2874.	The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is:
Answer» 10 60 15 12 Answer :B

Discussion

2875.	If(2sinalpha)/(1+cosalpha+sinalpha)=y , then prove that (1-cosalpha+sinalpha )/(1+sinalpha)is also equal to y.
Answer» y `1//y` `1+y` `(1)/(1+y)`

Discussion

2876.	I.12p^(2) - 7q =- 1 II.6q^(2) - 7q+2 =0
Answer» <P>if` p lt q,` if` p gt q,` if`p le q,` if` p ge q,` Solution :(I) ` 12P^(2) - 7p =- 1 ` ` rArr 12p^(2)-7p+1 = 0` ` rArr 12p^(2) -4p-3p+1 =0` ` rArr 4p(3p-1)-1(3p-1)=0` ` rArr (3p-1)(4p-1) = 0` ` rArr p = 1/4 or 1/3` (II) ` 6q^(2) - 7q+2 = 0` ` rArr 6q^(2) -4q-3q+2 =0` ` rArr 2Q(3q-2)-1(3q-2) =0` ` rArr (3q-2)(2q-1) =0` ` rArrq = 2/3 or 1/2` Obviously, ` p le q`

Discussion

2877.	A letter is takenout at random from 'ASSISTANT and another is taken out from "STATISTICS'. The probability that they are the same letters is:
Answer» a. `35/96` B. `19/90` C. `19/96` d. NONE of these Answer :B

Discussion

2878.	The minute hand of a clockovertakes thehour hand at intervals of 70min of the correct time how much in a day does the clock gains or loss
Answer» `7200/77` MIN GAIN `7200/77` min LOSS `7300/77` min loss `7300/78` min gain ANSWER :B

Discussion

2879.	A salesman is allowed 12 %commission on the sale by him up to Rs. 15000 and additional bonus of 1%on sale made over Rs 15000. If his total earnings are Rs. 7650. Find the total sales made by him?
Answer» ANSWER :RS. 60000

Discussion

2880.	Aviral purchased a computer forRs. 47,000. He had to sell it for Rs. 45,800. Find his profit or loss per cent.
Answer» Solution :Since, `SPltCP`, there will be LOSS loss `(%)=(loss)/(CP)xx100=(47000-45800)/47000xx100=1200/47000xx100=2(26)/26%`

Discussion

2881.	Which of the following best describes the values of k, if a, b and c are the lengths of the sides of the triangle and k=(a^2+b^2+c^2)/(ab+bc+ca) ?
Answer» A.`1leklt2` B.`0leklt2` C.`0ltklt9/8` D.`1lekle2` ANSWER :A

Discussion

2882.	An unbiased die is tossed twice. Find the probability of getting a 1, 2, 3 or 4 on the first toss and a 4, 5 or 6 on the second toss.
Answer» `1/3` `2/3` `5/6` `1/6` ANSWER :A

Discussion

2883.	The mean proportional between 8 and 98 is :
Answer» 16 53 112 28 Solution :8 : x :: x : 98 `x^2 = 8 xx 98 IMPLIES x = 28` hence option (d) is CORRECT.

Discussion

2884.	Anna Hazare- a social activist who became world famous after his crusade against corruption-wants to sit on a fast for 4 days back to back in the next week. sitting on fast is usually indicative of protest in a democratic system to let the government/authority know the differing, rising and unheard opinion of its stakeholders. Find the number of selection of days in which he can sit on fast for 4 consecutive days.
Answer» 4 5 6 2 Answer :A

Discussion

2885.	There are some milk in three vessels.1/4 part of thefirst mixture is poured into second vessel. 1/3 part of the second mixture is poured into third vessel. 5/11 part of the third mixture is poured into first vessel. Again 1/4 part of the first mixture is poured into second vessel. Now all three vessels contains 6- 6 ltmilk, then find the initial quantity of milk in all three vessels
Answer» ANSWER :4 LT, 5 lt, 9lt

Discussion

2886.	I.4/sqrtx + 3/sqrtx = sqrtx II.y^(2) -(7^(5//2)//root()() y ) = 0
Answer» if` x gt y` if ` x lt y` if ` x le y` if x = y or cannot be established SOLUTION :` 7/sqrt x = sqrt x rArrx = 7` ` (y^(2) xx y^(1//2) -7^(5//2))/SQRTY = 0` ` ((y^(5//2) -7^(5//2)))/sqrt y = 0` ` y^(5//2) = 7^(5//2)` ` y = 7,x = y`

Discussion

2887.	19.003 xx 22.988-280.010
Answer» a. 220 b. 110 C. 160 d. 90 Answer :C

Discussion

2888.	A person lends 40% of his sum of money at 15% per annum, 50% of rest at 10% per annum and the rest at 18% per annum rate of interest. What would be the annual rate of interest. If the interest is calculated on the whole sum?(एक आदमी अपनी धनराशि का 40 % भाग 15 % वार्षिक की दर से , शेष का 50 % भाग 10 % वार्षिक दर से शेष भाग 18 % की दर से उधार देता है यदि कुल धनराशि पर बियाज की गणनाकरनी हो तो बियाज की वार्षिक दर कितनी होगी )
Answer» ANSWER :0.144

Discussion

2889.	Two trains of lengths 70 m and 90 m are moving in opposite directions at 10 m/s and 6 m/s, respect- ively. Find the time taken by trains to cross each other.
Answer» a. 10s b. 8s c. 12s d. 16s Answer :A

Discussion

2890.	Express each of the following as a rational expressions.(x^2-5x+6)/(x^2-9x+20) div( x^2-3x+2)/(x^2-5x+4):
Answer» `(x-4)/(x-3)` `(x-3)/(x-5)` `(x-2)/(x-5)` `(x-5)/(x-3)` ANSWER :B

Discussion

2891.	Krishan distributed 10-acre land to Gopal and Ram who paid him the total amoun int eh ratio 2:3. Gopal invested a further Rs. 2 lakh in the land and planted coconut and lemon tress in the ratio5:1 on equal areas of land. There were a total of 100 lemon tress. the cost of one coconut was Rs. 5. the crop toolk 7 yr to mature and when the crop was reaped in 1997, the totla revenue generated was 25% of the total amount put in by Gopal and Ram together. The revenue gererated from the coconut and lemon tress was in the ratio 2:3and it was shared equally by Gopal and ram as the initial amounts spent by them were equal. What was the value of output per tree for coconuts ?
Answer» Rs. 36 Rs. 360000 Rs. 3,600 Rs. 240 Solution :Ratio of number of coconut tress and LEMON tress `5:1`, therefore, number of coconut tress is 500. SINCE revenue generated from coconut tress is Rs. 180,000. Hence VALUE of PER tress `=(1,80,000)/(500)=Rs, 360`

Discussion

2892.	Krishan distributed 10-acre land to Gopal and Ram who paid him the total amoun int eh ratio 2:3. Gopal invested a further Rs. 2 lakh in the land and planted coconut and lemon tress in the ratio5:1 on equal areas of land. There were a total of 100 lemon tress. the cost of one coconut was Rs. 5. the crop toolk 7 yr to mature and when the crop was reaped in 1997, the totla revenue generated was 25% of the total amount put in by Gopal and Ram together. The revenue gererated from the coconut and lemon tress was in the ratio 2:3and it was shared equally by Gopal and ram as the initial amounts spent by them were equal. What was the total output of coconuts ?
Answer» Rs. 24,000 Rs. 36,000 Rs, 18,000 Rs. 48,000 Solution :Let the amount INVESTED by Gopal and Ram be 2x and 3x respectively. Gopal further invested Rs.2 lakh. Acc, to question `(2x+2)=3x or x=2` lakh. Hence, initial amount paid by gopal and Ram to Krishna is 4 lakh and 6 lakh respectively. Hence, TOTAL money invested by them together `=(6+6)12` lakh. The total revenue generated `=12xx25%=3` lakh. ALSO The ratio of revenue from COCONUT and lemon treees are in the rati `3:2` Hence, revenue from coconut `=Rs. 1,80,000` and revenue from lomons `=Rs. 1,12,000`, so total output of coconut `=(1,80,000)/(5)=Rs. 36,000`

Discussion

2893.	In a certain Business, the profit is 220% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?
Answer» A. 61% B. 51% C. 71% D. Cannot be DETERMINED SOLUTION :The value of LEMON OUTPUT acre of land `=(1,20,000)/(5)=0.24`lakh/acre.

Discussion

2894.	Krishan distributed 10-acre land to Gopal and Ram who paid him the total amoun int eh ratio 2:3. Gopal invested a further Rs. 2 lakh in the land and planted coconut and lemon tress in the ratio5:1 on equal areas of land. There were a total of 100 lemon tress. the cost of one coconut was Rs. 5. the crop toolk 7 yr to mature and when the crop was reaped in 1997, the totla revenue generated was 25% of the total amount put in by Gopal and Ram together. The revenue gererated from the coconut and lemon tress was in the ratio 2:3and it was shared equally by Gopal and ram as the initial amounts spent by them were equal. What was the amount received by Gopal in 1997 ?
Answer» Rs.1.5 lakh Rs. 3lakh Rs. 6 lakh Cannot be DETERMINED Solution :SINCE revenue of Rs. 3,00,000 is equally DIVIDED by Gopal and Ram. Hence, AMOUNT RECEIVED by Gopal in `=1997=(1)/(2)xx3,00,000=Rs. 1,50,000`

Discussion

2895.	If "log" (x+y) = "log" 2 + (1)/(2)"log" x + (1)/(2)"log"y, then
Answer» `x+y=0` x=y x=2,y=0 x=logy Answer :B

Discussion

2896.	Pankaj went to the post office to the speed of 60km/hr while returning for his home he covered the half of the distance at the speed of 10 km/hr but suddenly he realized that he was getting late so he increased the speed and reached the home by covering the rest half of the distance of the speed of 30km/hr The average speedof the pankaj in the whole lengthof the journey is:
Answer» 5.67 km/hr 24 km/hr 22.88 km/hr 5.45 km/hr Answer :B

Discussion

2897.	A man can swim 5 km/h in still water if the speed of current be 3 km/h the time taken by him to swim to a palce 16 km upstream and back is:
Answer» 8 H 7.5 h 6.66 h 10 h Answer :D

Discussion

2898.	Find the value of sqrt(-16) xx sqrt(-25).
Answer» SOLUTION :`SQRT(-16)xxsqrt(-25)=4ixx5i=20i^2=-20`

Discussion

2899.	If f(x)=x^3+2x then find the value of f(4)
Answer» SOLUTION :`F(X)=x^3+2x` `f(3)=3^3+2(3)=27+6=33`

Discussion

2900.	If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2) is equal to
Answer» 0 1 2 both (a) and (C) ANSWER :D

Discussion

Explore topic-wise InterviewSolutions in .

80% of a smaller number is 4 less than 40% of a larger number. The larger number is 85 greater than the smaller one. The sum of these two number is :

If (a,n) in I^(+) and (a,n) > 1, then the remainder when [(a + 1)^(2n - 1) - 1] is divided by (a - 1) is:

If f(x)=(1)/(x), x ne 0 f^(n)(x)=f(f^(n-1)(x)) and f^(12)(x)=11, what is the vlaue of f(x)=?

Three numbers p, q, r are such that p^q = q^r, where p, q, r > 1 then the correct relation between q and r is :

One pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what time the cistern is full if both the pipes are opened together?

If x^3 + 5x^2+10k leaves remainder -2x when divided by x^2+2 then the value of k is:

If the perimeter of rhombus is 150 cm and length of one diagonal is 50 cm. Then find the length of second diagonal and area of rhombus.

A dog starts chasing to a cat 2 hours later it takes 2 hours to dog to catch the cat.if the speed of the dog is 30 km/h what is the speed of the cat?

If the compound interest on a certain sum for 2 years at 4% per annum is Rs. 102 the simple interest at the same rate of interest for two years would be

The selling price of 13 articles is same as the cost price of 23 articles. What is the profit percentage?

The value of tan 315^(@)cot(-405^(@)) is equal to

Mutiply 1203 by 1207.

If the different permutations of the word PRODIGIOUS are listed as in a dictionary, then what is the rank of theword PRODIGIOUS?

C_(1) and C_(2) are two concentric circles with centres at O. Their radii are 12 cm and 3 cm respectively. B is the point of contact oftangents drawn to C_(2) from a point A lying on the circle C_(1). Then the area of the triangle OAB is :

IF HCF of two numbers is 4 and sum of both number is 36. How mony pair of numbers are possible .

If 187! is divisible by15^(n)then find the maximum value of n.

Two bullets are fired from a place at an interval of 5 minutes. A person approaching that place hears it at the gap of 4 minutes, 30 seconds. If speed of sound in 330 m/s then what is the speed of person (in km/ h).

Factorization of Polynomial or expression- x^(2) + 5x + 6

The ratio of semiperimeter of a parallelogram to its longer side is same as the ratio of its longer side to its shorter side. If the shorter side measures 2 cm, find the maximum possible area of the parallelogram.

The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is:

If(2sinalpha)/(1+cosalpha+sinalpha)=y , then prove that (1-cosalpha+sinalpha )/(1+sinalpha)is also equal to y.

I.12p^(2) - 7q =- 1 II.6q^(2) - 7q+2 =0

A letter is takenout at random from 'ASSISTANT and another is taken out from "STATISTICS'. The probability that they are the same letters is:

The minute hand of a clockovertakes thehour hand at intervals of 70min of the correct time how much in a day does the clock gains or loss

A salesman is allowed 12 %commission on the sale by him up to Rs. 15000 and additional bonus of 1%on sale made over Rs 15000. If his total earnings are Rs. 7650. Find the total sales made by him?

Aviral purchased a computer forRs. 47,000. He had to sell it for Rs. 45,800. Find his profit or loss per cent.

Which of the following best describes the values of k, if a, b and c are the lengths of the sides of the triangle and k=(a^2+b^2+c^2)/(ab+bc+ca) ?

An unbiased die is tossed twice. Find the probability of getting a 1, 2, 3 or 4 on the first toss and a 4, 5 or 6 on the second toss.

The mean proportional between 8 and 98 is :

I.4/sqrtx + 3/sqrtx = sqrtx II.y^(2) -(7^(5//2)//root()() y ) = 0

19.003 xx 22.988-280.010

Two trains of lengths 70 m and 90 m are moving in opposite directions at 10 m/s and 6 m/s, respect- ively. Find the time taken by trains to cross each other.

Express each of the following as a rational expressions.(x^2-5x+6)/(x^2-9x+20) div( x^2-3x+2)/(x^2-5x+4):

In a certain Business, the profit is 220% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?

If "log" (x+y) = "log" 2 + (1)/(2)"log" x + (1)/(2)"log"y, then

A man can swim 5 km/h in still water if the speed of current be 3 km/h the time taken by him to swim to a palce 16 km upstream and back is:

Find the value of sqrt(-16) xx sqrt(-25).

If f(x)=x^3+2x then find the value of f(4)

If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2) is equal to