8677 + Interview Questions in Maths in Class 14 Page 107 InterviewSolution

5301.	A kite is flown with a thread of 250 m length. If the thread is assumed to be stretched and makes an angle of 60^(@) with the horizontal, then the height of the kite above the ground is (approx.) :
Answer» 216.25 m 215.25 m 212.25 m 210.25 m Answer :A

Discussion

5302.	x#y={{:(x+2y,if,\|x+y\|" is even"),(2x" @2 "y,if,\|x+y\|" is odd"):} x"@"y={{:(3x-y,if,\|x+y\|" is even"),(2x#2y" ,if",\|x+y\|" is odd"):} Which of the following is true ? (i) 6"@"2=12#2 (ii) 6#4=(14"@"2)+(2"@"5) (iii) (6"@"2)+(6#3)=(12#2)+(14"@"12)-(2"@"6)
Answer» (i) and (II) only (i) and (III) only (ii) and (iii) only (i), (ii) and (iii) ANSWER :D

Discussion

5303.	x#y={{:(x+2y,if,\|x+y\|" is even"),(2x" @2 "y,if,\|x+y\|" is odd"):} x"@"y={{:(3x-y,if,\|x+y\|" is even"),(2x#2y" ,if",\|x+y\|" is odd"):} Whichof the following is true? (i) If q=2p and p+q is even, then p#q=q#p (ii) If q=3p, p"@"q will always be zero (iii) If q=2p and p is odd, then p"@"q will even
Answer» (II) only (III) only (i) ABD (iii) only (ii) and (iii) only Answer :D

Discussion

5304.	If radius of a cylinder is decreased by 4% , while its heightis increased by 2%, then what will be effect on volume ?
Answer» ANSWER :5.99% ( DECREASE )

Discussion

5305.	p^2+2\|p\|+35=0 q^2+2q+35=0
Answer» `pltq` `pgtq` `pleqq` con't be DETERMINED

Discussion

5306.	Find the unit digit of 3^(47) + 7^(52).
Answer» Solution :The UNIT digit of the given expression will be EQUAL to the unit digit of the SUM of the unit digit of both the TERMS individually. Now, unit digit of `3^47` is 7 (since it will be equal to `3^3`) and the unit digit of `7^52` is 1 (since it will be equal to `7^4`) Thus the unit digit of `3^47+7^52` is 7+1=8.

Discussion

5307.	What does Rs. 250 amount to in 2 years with compound interest at the rate of 4% per annum in the first year and 8% per annum in the second year?
Answer» ANSWER :RS. 280.80

Discussion

5308.	A person gives 30%of his income to his elder daughter and 40% of remaining to his younger daughter. And he distribute rest of the money equally among his 3 sons. If each son got Rs. 672, then how much money did the elder and younger daughter got?
Answer» ANSWER :RS. 1344

Discussion

5309.	The ratio of two numbers is 11 : 13 . If their HCF be 13 then these numbers will be :
Answer» 15 , 11 75 , 55 105 , 77 143 , 169 Answer :D

Discussion

5310.	The present worth of a bill due sometime, hence is X 2200 and true discount on the bill is X 220. Find the banker's discount and banker's gain.
Answer» BG = X 22 and BD = X 242 BG = X 242 and BD = X 22 BG = ? 11 and BD = ? 121 BG = X 31 and BD = X 343 Answer :A

Discussion

5311.	A does (4)/(5)part of the work in 20 days and rest of the work is done by A and B in 3 days. In what time can B do the whole work.
Answer» ANSWER :`37(1)/(2)` DAYS

Discussion

5312.	If the efficiency of each boy is doubled then what is the increase in production per hour?
Answer» `100%` `50%` `33.33%` NONE of the above Answer :C

Discussion

5313.	Simplify the following : 2x^(2)+3y^(2)-5xy+5x^(2)-y^(2)+6xy-3x^(2)
Answer» `7x^2+4y^2-11xy` `7x^2+2y^2-30xy` `4x^2+2y^2-11xy` `4x^2+xy+2y^2` ANSWER :D

Discussion

5314.	Two number are in the ratio of 3 and 5. If 9 is subtracted from both then ratio become 12 : 23. Then numbers are?
Answer» `36,60` `33,55` `30,50` `24,40` ANSWER :B

Discussion

5315.	If log_2(1+3^(x-1)+2=log_2(3^(2x-2)+7), then x is:
Answer» 0 1 2 both (B) and © Answer :D

Discussion

5316.	The product of two fractions is (14)/(15)and their quotient is (35)/(24)dotThe greater fraction is4/5b. 7/6c. 7/4d. 7/3
Answer» `(7)/(4)` `(7)/(6)` `(7)/(3)` `(4)/(5)` Answer :B

Discussion

5317.	Ravi made an error of 5% in excess while measuring the length of rectangle and an error of 8% deficit wad made while measuring the breadth . What is the percentage error in the area ?
Answer» `-3%` `-40%` `-3.4%` can't be DETERMINED ANSWER :C

Discussion

5318.	What will be the compound interest on Rs. 15625 for 2(1)/(2) years at 4% per annum?
Answer» ANSWER :RS. 1613

Discussion

5319.	ABCD is a // gram. P and Q are two points on AB and CDsuch that AP : PB = 2:3 , DQ = QC = 4 : 1 Find the ratio of area of Δ DPQ and '// ABCD
Answer» ANSWER :`(1)/(4)` ABCD

Discussion

5320.	Consider the following statements: 1. If p > 2 is a prime, then it can be written as 4n + 1 of 4n + 3 for suitable natural number n. 2. If p > 2 is a prime, then (p -1)(p +1) is always divisible by 4. Of these statements:
Answer» 1 and 2 are FALSE 1 and 2 are TRUE 1 is true but 2 is false 1 is false but 2 is true ANSWER :B

Discussion

5321.	If log_(2)(x+y) =3 and log_(2)x + log_(2)y =2 + log_(z)3 then the values of x and y are
Answer» x=1, y=8 x=4, y=4 x=4, y=8 x=2, y=5 Answer :D

Discussion

5322.	A shopkeeper marks his goods at 20% more and offers discount of 10%. He cheats to the extent of 10% while buying as well as selling by using false weight. Find his over all profit %.
Answer» ANSWER :0.32

Discussion

5323.	The square of a positive number is 2,000% greater than the number itself, then the square of that number is :
Answer» 1762 1635 441 139 Answer :C

Discussion

5324.	Solve the followings : ((x^b)/(x^c))^(a) xx ((x^c)/(x^a))^(b) xx ((x^a)/(x^b))^c is equal to :
Answer» 0 1 abc None of these ANSWER :B

Discussion

5325.	If two lines 2x+3y=8 and kx+4y-9=0 are lines.botfind k
Answer» ANSWER :`k=-6`

Discussion

5326.	The two roots of a quadratic equation are -6 and 12, what is the distance between the axis of symmetry of the quadratic graph and the Z-axis?
Answer» 6 units 1 unit 2 units 3 units Answer :B

Discussion

5327.	Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum. Find the part A.
Answer» ANSWER :RS. 676

Discussion

5328.	A hall has 12 gates. In how many ways, can a man enter the hall through one gate and come out through a different gate?
Answer» ANSWER :132

Discussion

5329.	Multiply 238 by 81.
Answer» SOLUTION :Steps 1: `238 xx 81 = 238 xx 9 xx 9` Step 2: `238 xx (10 - 1) xx (10-1)` Step 3: `[2380 - 238]xx (10-1)` Step 4: `2142 xx (10-1)` step 5: 21420 - 2142 = 19278

Discussion

5330.	A surve shows that 41%,35% and 60% of thepeople watch " Maine pyaar kiya " " Main Pyaar kya kiya " " and " " Pyaar to Hona Hi Tha "" Respectively ,27% peoplewatchexactly two of the three moviesand 3% watch none .Whatpercentage of people watch allthree movies ?
Answer» `10%` `8%` `12%` `15%` Answer :C

Discussion

5331.	Mrs. Annapurna per day sells exactly four quintal sugar at ₹ 2000 per quintal getting the profit of ₹ 25%. Since she mixes two varities of sugar, one costs ₹ 14 per kg and another costs ₹ 22 per kg. One day due to huge demand in market she had only 3 quintal of the required mixture so ahe purchased the sugar costs ₹ 17 per kg at ₹ 18 per kg from the wholeseller on that day and then she mixed 300 kg mixture with 100 kg sugar costing ₹ 18 per kg to fulfill the demand of the market selling at the same price. How much percent less does she gain that she would have gained, if she had sufficient quantity of used mixture of sugar?
Answer» `12.5%` `18.18%` `62.5%` can't be determined Answer :A

Discussion

5332.	(6^6 + 6^6 + 6^6 + 6^6 + 6^6 + 6^6)/(3^6 + 3^6 + 3^6) div (4^6 + 4^6 + 4^6 + 4^6)/(2^6 + 2^6) = 2^n , then the value of n is :
Answer» `-1` `0` `1/2` `1` ANSWER :B

Discussion

5333.	(1675div5)+(5328div12)xx(840div15)=?^(2)-235
Answer» 152 138 158 142 Solution :`335+444xx56=24864+335=25199-235=24964` `158xx158=(158)^(2)`

Discussion

5334.	If circle touches all the sides of a quadrilateral ABCD, if AB = 7 cm, CD = 3 cm, BC = 8.5 cm. Find the length of AD.
Answer» ANSWER :1.5 CM

Discussion

5335.	A 3cm long perpendicular is drawn from the centre of a circle to a 8cm long chord. Find the diameter of the circle.
Answer» a. 6cm b. 5cm c. 4cm d. 10cm Answer :A

Discussion

5336.	Under the scheme of Kisan Vikas, the Govt. of U.P. purchased 't' number of tractors and these were allocated equally among 7 districts of U.P. and thus 4 tractors remained unallocated. Similarly every district and still 3 tractors remained without allocation, in every district. Further every block assigned these tractors equally to every 16 village in eahc block and thus 2 tractors per block remained unallocated . According to the scheme every village must receive at least one tractor. The number of tractors allocated to each block is :
Answer» 161 181 24 can't be determined Answer :A

Discussion

5337.	An aeroplane flies along the four sides of asquare at the speeds of 100, 200, 300 and 400 km/hr. find the average speedof the plane around the field.
Answer» 196 km/h 200km/h 250km/h 192 km/h Answer :D

Discussion

5338.	Study the following graph carefully and answer the questions that follow Whatare the average runsscored by all the three teams in Match 3 together?
Answer» a) 280 B) 270 c) 275 d) 285 Answer :B

Discussion

5339.	The sum of all natural numbers between 100 and 200, which are multiples of 3 is :
Answer» 5000 4950 4980 4900 Answer :B

Discussion

5340.	The sum of all digits except the unity that can be substituted at the place of k inorder to be divisible by 8 in the number 23487k 2 :
Answer» 5 14 9 none of these Answer :B

Discussion

5341.	If alpha,beta is obtuse angle & alphagtbeta. (90^(@)lt(alpha&beta)lt180^(@)) then which options are correct?
Answer» `sinalphagtsinbeta` `sinalphaltsinbeta` `cosalphagtcosbeta` `cosalphaltcosbeta` ANSWER :B::D

Discussion

5342.	A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ?
Answer» A) 1:3 B) 2:1 C) 3:2 D) 2:3 Answer :B

Discussion

5343.	Anuj kumar makes a profit of 9,00,000, 20% of which is paid as taxes. If the rest is divided among the partners P, Q and R in the ratio of 1 : 1(1)/(2):2, then the shares of P, Q and R are respectively:
Answer» ANSWER :RS. 160000, Rs. 240000, Rs. 320000

Discussion

5344.	If x = 1+ a + a^(2) + …. infty "," y = 1 + b + b^(2) + …. infty,"" \|a\| lt 1 , \|b\| lt 1,then1 + ab + a^(2) b^(2) + ….. infty =
Answer» xy/x+y x+y+1/xy xy/x-y xy/x+y-1 Answer :D

Discussion

5345.	There are four water tanks each with equal capacity of 1200 liters. The water is being pumped from one tank to another as per the following scheme. From P to Q @ 52 liters/second.From P to S @ 48 liters/secondFrom Q to R @ 36 liters/secondFrom R to P @ 76 liters/secondFrom R to S @ 24 liters/secondFrom S to Q @ 48 liters/second If all the pumps are started simultaneously, when each of the tanks has 384 liters of water which tank would get emptied first?
Answer» P Q R S Answer :C

Discussion

5346.	A trader has a faulty balance that weight 25% less than what it should weigh. If he sells his goods at the cost price using his faulty balance, what is his profit per cent?
Answer» 25 20 16.67 33.33 Answer :D

Discussion

5347.	A tank has two inlet pipes which can fill the empty tank in 12 hours and 15 hours working alone and one outlet pipe which can empty the full tank in 8 hours working alone. The inlet pipes are kept open for all the time hut the outlet pipe was opened after 2 hours for one hour and then again closed for 2 hours then once again opened for one hour. This pattern of outlet pipe continued till the tank got completely filled. In how many hours the tank has been filled, working on the given pattern?
Answer» a)8 hours 24 minutes b)10 hours 15 minutes C)9 hours 10 minutes d)9 hours 6 minutes Answer :C

Discussion

5348.	10 years ago the age of Karishma was 1/3rd of the age of Babita. 14 years hence the ratio of ages of Karishma and Babita will be 5: 9. Find the ratio of their ages :
Answer» 0.56180555555556 0.47708333333333 29:17 0.55902777777778 Answer :A

Discussion

5349.	If alpha and beta are the roots of the equation 3x^(2)+7x+3=0 Find the value of alpha beta:
Answer» 1 0 2 3 Answer :A

Discussion

5350.	If 9lexle16, then
Answer» `(x-9)(x-16)LE0` `(x-9)(x-16)GE0` `(x-9)(x-16)LT0` `(x-9)(x-16)GT0` ANSWER :A

Discussion

Explore topic-wise InterviewSolutions in .

A kite is flown with a thread of 250 m length. If the thread is assumed to be stretched and makes an angle of 60^(@) with the horizontal, then the height of the kite above the ground is (approx.) :

x#y={{:(x+2y,if,|x+y|" is even"),(2x" @2 "y,if,|x+y|" is odd"):} x"@"y={{:(3x-y,if,|x+y|" is even"),(2x#2y" ,if",|x+y|" is odd"):} Which of the following is true ? (i) 6"@"2=12#2 (ii) 6#4=(14"@"2)+(2"@"5) (iii) (6"@"2)+(6#3)=(12#2)+(14"@"12)-(2"@"6)

x#y={{:(x+2y,if,|x+y|" is even"),(2x" @2 "y,if,|x+y|" is odd"):} x"@"y={{:(3x-y,if,|x+y|" is even"),(2x#2y" ,if",|x+y|" is odd"):} Whichof the following is true? (i) If q=2p and p+q is even, then p#q=q#p (ii) If q=3p, p"@"q will always be zero (iii) If q=2p and p is odd, then p"@"q will even

If radius of a cylinder is decreased by 4% , while its heightis increased by 2%, then what will be effect on volume ?

p^2+2|p|+35=0 q^2+2q+35=0

Find the unit digit of 3^(47) + 7^(52).

What does Rs. 250 amount to in 2 years with compound interest at the rate of 4% per annum in the first year and 8% per annum in the second year?

A person gives 30%of his income to his elder daughter and 40% of remaining to his younger daughter. And he distribute rest of the money equally among his 3 sons. If each son got Rs. 672, then how much money did the elder and younger daughter got?

The ratio of two numbers is 11 : 13 . If their HCF be 13 then these numbers will be :

The present worth of a bill due sometime, hence is X 2200 and true discount on the bill is X 220. Find the banker's discount and banker's gain.

A does (4)/(5)part of the work in 20 days and rest of the work is done by A and B in 3 days. In what time can B do the whole work.

If the efficiency of each boy is doubled then what is the increase in production per hour?

Simplify the following : 2x^(2)+3y^(2)-5xy+5x^(2)-y^(2)+6xy-3x^(2)

Two number are in the ratio of 3 and 5. If 9 is subtracted from both then ratio become 12 : 23. Then numbers are?

If log_2(1+3^(x-1)+2=log_2(3^(2x-2)+7), then x is:

The product of two fractions is (14)/(15)and their quotient is (35)/(24)dotThe greater fraction is4/5b. 7/6c. 7/4d. 7/3

Ravi made an error of 5% in excess while measuring the length of rectangle and an error of 8% deficit wad made while measuring the breadth . What is the percentage error in the area ?

What will be the compound interest on Rs. 15625 for 2(1)/(2) years at 4% per annum?

ABCD is a // gram. P and Q are two points on AB and CDsuch that AP : PB = 2:3 , DQ = QC = 4 : 1 Find the ratio of area of Δ DPQ and '// ABCD

Consider the following statements: 1. If p > 2 is a prime, then it can be written as 4n + 1 of 4n + 3 for suitable natural number n. 2. If p > 2 is a prime, then (p -1)(p +1) is always divisible by 4. Of these statements:

If log_(2)(x+y) =3 and log_(2)x + log_(2)y =2 + log_(z)3 then the values of x and y are

A shopkeeper marks his goods at 20% more and offers discount of 10%. He cheats to the extent of 10% while buying as well as selling by using false weight. Find his over all profit %.

The square of a positive number is 2,000% greater than the number itself, then the square of that number is :

Solve the followings : ((x^b)/(x^c))^(a) xx ((x^c)/(x^a))^(b) xx ((x^a)/(x^b))^c is equal to :

If two lines 2x+3y=8 and kx+4y-9=0 are lines.botfind k

The two roots of a quadratic equation are -6 and 12, what is the distance between the axis of symmetry of the quadratic graph and the Z-axis?

Divide Rs. 1301 between A and B, so that the amount of A after 7 years is equal to the amount of B after 9 years, the interest being compounded at 4% per annum. Find the part A.

A hall has 12 gates. In how many ways, can a man enter the hall through one gate and come out through a different gate?

Multiply 238 by 81.

A surve shows that 41%,35% and 60% of thepeople watch " Maine pyaar kiya " " Main Pyaar kya kiya " " and " " Pyaar to Hona Hi Tha "" Respectively ,27% peoplewatchexactly two of the three moviesand 3% watch none .Whatpercentage of people watch allthree movies ?

(6^6 + 6^6 + 6^6 + 6^6 + 6^6 + 6^6)/(3^6 + 3^6 + 3^6) div (4^6 + 4^6 + 4^6 + 4^6)/(2^6 + 2^6) = 2^n , then the value of n is :

(1675div5)+(5328div12)xx(840div15)=?^(2)-235

If circle touches all the sides of a quadrilateral ABCD, if AB = 7 cm, CD = 3 cm, BC = 8.5 cm. Find the length of AD.

A 3cm long perpendicular is drawn from the centre of a circle to a 8cm long chord. Find the diameter of the circle.

An aeroplane flies along the four sides of asquare at the speeds of 100, 200, 300 and 400 km/hr. find the average speedof the plane around the field.

Study the following graph carefully and answer the questions that follow Whatare the average runsscored by all the three teams in Match 3 together?

The sum of all natural numbers between 100 and 200, which are multiples of 3 is :

The sum of all digits except the unity that can be substituted at the place of k inorder to be divisible by 8 in the number 23487k 2 :

If alpha,beta is obtuse angle & alphagtbeta. (90^(@)lt(alpha&beta)lt180^(@)) then which options are correct?

A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ?

Anuj kumar makes a profit of 9,00,000, 20% of which is paid as taxes. If the rest is divided among the partners P, Q and R in the ratio of 1 : 1(1)/(2):2, then the shares of P, Q and R are respectively:

If x = 1+ a + a^(2) + …. infty "," y = 1 + b + b^(2) + …. infty,"" |a| lt 1 , |b| lt 1,then1 + ab + a^(2) b^(2) + ….. infty =

A trader has a faulty balance that weight 25% less than what it should weigh. If he sells his goods at the cost price using his faulty balance, what is his profit per cent?

10 years ago the age of Karishma was 1/3rd of the age of Babita. 14 years hence the ratio of ages of Karishma and Babita will be 5: 9. Find the ratio of their ages :

If alpha and beta are the roots of the equation 3x^(2)+7x+3=0 Find the value of alpha beta:

If 9lexle16, then