8677 + Interview Questions in Maths in Class 14 Page 110 InterviewSolution

5451.	HCF andLCMof two numbers are 144 and 864 . If one number is 288 find 2nd number.
Answer» ANSWER :`=432`

Discussion

5452.	The value of log_2log_3log_5(125)^3 is :
Answer» 0 1 2 3 Answer :A

Discussion

5453.	C.P. of two books is same. One sold at 15% profit and the other for ₹ 4800 more than the first. If the net profit is 20% then find the C.P. of each book?
Answer» ₹48000 ₹480 ₹4800 ₹38000 SOLUTION :Let `CP_(1)= 100 CP_(2) = 100` OVERALL `CP = 200` `SP_(1) = 115,` overall SP = 240 `SP_(2)`= overall, SP - SPI = 240 -115 = 125` Difference in SP = 125-115= 10 Therefore CP `= 48000 xx 100//10 = ₹ 48000`. Alternate Solution: As priceof both booksis same one is sold at 15% so other must besold at 25% to make overall profit of 20% `therefore ` 10%$ = 4800` `rArr 100% = 48000` = Priceof 1 book.

Discussion

5454.	If x+ (1)/(x)=3, then x^(4) + (1)/(x^(4))= ?
Answer» ANSWER :47

Discussion

5455.	A and B are two stations 1000 km apart. A train starts from A and moves towards B at 40km/h. Another train starts from B at the same time and moves towards A at 60km/h. How far from A will they cross each other?
Answer» 350 KM 400 km 525 km 300 km Answer :B

Discussion

5456.	The ratio of the length of the parallel sides of a trapezium is 3:2. The shortest distance between them is 20 cm. If the area of the trapezium is 550 cm^2, the sum of the lengths of the parallel sides is-
Answer» a) 15 cm b) 66 cm c) 60 cm d) 55 cm Answer :4 hrs

Discussion

5457.	iff(x)=2xe^(2x) findf'(x)
Answer» ANSWER :D

Discussion

5458.	A on reaction with Br-Cl gives :
Answer» 6 7 5 none of these Answer :A

Discussion

5459.	A program module is given below with various steps involved, which starts with the values of a,b,c as 1,2,3 respectively. These values remain unchanged till step . The program is executed with the help of following operators. Milan 2(P)=Pxx2 Milaap 2(P)=P+2 and b=a means the value of a is assigned to b. START Step 1. Read (a,b,c) Step 2. Milan 2(a) Step 3. Milaap 2(b) Step 4. c=a+b Step 5. If cgt111, then go to step 6 else go to step 2. Step 6. STOP In a particular cycle a,b and c get the values such that 9a=8c, then the value of b is:
Answer» 6 8 16 none of these Answer :C

Discussion

5460.	Simplify the following ratios:5/6:3/8: 3 3/4
Answer» SOLUTION :5/6:3/8: 3 3/4=5/6:3/8:15/4=5/6xx24:3/8xx24:15/4xx24` =20:9:90[`because` LCM of 6,8 and 4 is 24]

Discussion

5461.	In what ratio should freely available water and a premium priced water be mixed so that after selling the mixture at the cost price a profit of 33.33% is made?
Answer» 1:4 1:3 2:3 3:4 Solution :`33.33%` profit means there is one PART WATER and 3 part is pure wine. So the requiredratio of water and wine in the MIXTURE is 1:3

Discussion

5462.	Three sides of a triangle ABC are a, b, c. a=4700 cm, b=4935 cm and c=6815 cm. The internal bisector of ZA meets BC at P, and the bisector passes through incentre O. What is ratio of PO:OA ?
Answer» `3:2` `2:3` `2:5` can't be determined Answer :C

Discussion

5463.	(log (a^(3)/(bc)) + log (b^(3)/(ac)) + log (c^(3)/(ab))) is equal to :
Answer» 1 log abc abc NONE of these ANSWER :B

Discussion

5464.	If the cost of a calculator worth ₹ 250 in increased by ₹100, the rate of increase is
Answer» `100%` `40%` `25%` `90%` ANSWER :B

Discussion

5465.	If 10 objects are arranged in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is :
Answer» 56 65 28 13 Answer :A

Discussion

5466.	The price of a car depreciates in the first year by 25% in the second year by 20% in the third year by 15% and so on. The final price of the car after 3 years, if the present cost of the car is Rs. 10,00,000 :
Answer» 7,80,000 5,10,000 6,90,000 1,70,000 Answer :B

Discussion

5467.	The point (4,3) is translated to thepoint (3,1) and then the axes arerotated through an angle of 30^(@) aboutthe origin,then the new coordinatesof the point ((1)/(sqrt(2)),(sqrt(3)-1)/(2)),((sqrt(3)+2)/(2),(2sqrt(3)+1)/(2)),((sqrt(3))/(2),(2sqrt(3))/(5)),((sqrt(3)+2)/(2),(2sqrt(3)-1)/(2))
Answer» 1 4 `SQRT(2)` `-1` ANSWER :D

Discussion

5468.	If (sec^(4)alpha)/(sec^(2)beta)-(tan^(4)alpha)/(tan^(2)beta)=1 where alpha,betane(pi)/(2), then find the value of (sec^(4)beta)/(sec^(2)alpha)-(tan^(4)beta)/(tan^(2)alpha)
Answer» `-1` 0 1 2 Answer :A

Discussion

5469.	The area of a circle whose radius is the diagonal of a square whose area is 4 sq. units is :
Answer» 45 54 56 64 Answer :C

Discussion

5470.	The value of (2^(log_(3)7)-7^(log_3 2)) is :
Answer» 0 1 `log_(7)5` `log_(7)6` Answer :A

Discussion

5471.	Out of a sum of Rs. 625, a part was lent at 5% SI and the other at 10% SI. If the interest on the first part after 2 years is equal to the interest on the second part after 4 years , then the second sum (in Rs. ) is :
Answer» 250 300 125 275 Answer :C

Discussion

5472.	The number of ways in which we can select 5 numbers from the set of numbers {1, 2, 3, ..., 25) such that none of the selections includes four consecutive numbers is :
Answer» 53109 13350 10035 none of these Answer :A

Discussion

5473.	Find the remainder when (777777 …… 1000 times) is divided by 13.
Answer» 10 3 4 5 Answer :B

Discussion

5474.	A person can walk a certain distance and drive back in 6 h. He can also walk both ways in 10 h. How much time will he take to drive both ways?
Answer» a)2h b)`2 (1)/(2) H` C)`6 (1)/(2) h` d)`4h` Answer :A

Discussion

5475.	Einstein walk in an escalator at a rate of 5 steps per second and reaches the other end in 10 seconds. While coming back, walking at the same speed he reaches the starting point in 40 seconds. What is the number of steps on the escalator?
Answer» 40 60 120 80 Answer :D

Discussion

5476.	(1212)/( 0.5) = 6.06 xx?
Answer» 4.04 400 0.4 0.44 Answer :B

Discussion

5477.	(A + B) can do a piece of work in 14 days. A works3(1)/(2)days and B works for 11(1)/(2)days, then half of the work has been completed. In how many days will B do this work alone ?
Answer» ANSWER :32 DAYS

Discussion

5478.	Number of ways in which 20 different pearls of two colours can be set alternately on a necklace, there being 10 pearls of each colour.
Answer» ANSWER :D

Discussion

5479.	5 - Digit numbers are to be formed using 2, 3, 5, 7, 9 without repeating the digits. If p be the number of such numbers that exceed 20000 and q be the number of those that lie between 30000 and 90000, then p:q is:
Answer» A. 5:2 B. 3:2 C. 7:5 D. NONE of the above ANSWER :B

Discussion

5480.	If .^(56)P_(r+6):.^(54)P_(r+3)=30800:1, find .^(r)P_(2).
Answer» 14 20 41 21 Answer :C

Discussion

5481.	Ify=2x^2+12x+35 , then dy/dx at x=3
Answer» 12 28 32 24 Answer :C

Discussion

5482.	The total number of 3-digit numbers, the sum of whose digits is even, is equal to
Answer» A. 150 B. 250 C. 450 D. 600 Answer :A

Discussion

5483.	The number of ways in which a mixed doubles game in tennis can be arranged form 5 married couples, if no husband and wife play in the same game, is
Answer» A. 100 B. 60 C. 80 D. 50 Answer :C

Discussion

5484.	Ticketsarenumbered from1to 18 aremixeduptogether and then9 ticketisdrawnat random . Findtheprobability that thetickethasa number, whichis amultipleof 2 or 3 .
Answer» `1/3` `3/5` `2/3` `5/6` ANSWER :C

Discussion

5485.	A circle of radius 'a' is divided into 6 equal sectors. An equilateral triangle is drawn on the chord of each sector to lie outside the circle. Area of the resulting figure is :
Answer» `3a^2(PI + SQRT3)` `3sqrt3 a^2` `3(a^2sqrt3 + pi)` `(3sqrt3 pia^2)/2 Answer :B

Discussion

5486.	The number of three-digit numbers having only two consecutive digits identical is
Answer» 171 170 90 180 Answer :A

Discussion

5487.	If 42 persons consume 144kg of rice in 15 days, then in how many days will 30 persons consume 48 kg of rice?
Answer» ANSWER :7

Discussion

5488.	ABCD is square. K and L are two points on AB such that AO = AK and BO = BL and angleLOK=theta. Find the value of tantheta.
Answer» ANSWER :1

Discussion

5489.	The relation R(m, n) can be defined for every positive integer m,n as R (m,n)= m xx (m + 1) xx (m + 2) xx (m + 3) xx ……(m + n) and the relation R (1, n) is equal to n! or can be written as R (n). The value of (R(135))/(R(100, 35)) is :
Answer» `99!` `100!` 270 none of these Answer :A

Discussion

5490.	The sides of a triangle are 25 m , 39 m and 56 m respectively . Find the perpendiculardistance from the vertex opposite to the side 56 m .
Answer» 15 m 16.5 m 18.6 m 21 m Answer :A

Discussion

5491.	The ratio between the speeds of two train is 8:9. Second train covers 360 km in 4 h.Distance covered by first train in 3 h (in km) is
Answer» a. 240 b. 480 c. 120 d. 60 Answer :A

Discussion

5492.	If x+ (1)/(x)= sqrt3 find x^(67) + x^(53) + x^(43) + x^(29) +x^(24) + x^(18) + x^(6) + 3
Answer» ANSWER :`2(1- SQRT3)`

Discussion

5493.	A train normally covers a certain distance at a speed of 60 km/hr. However, if it were to halt for a fixed time interval in each hour its average speed reduced to 50km/hr. what is the time interval for which the train halt in each hour?
Answer» 6 min 10 min 12 min none of these Answer :B

Discussion

5494.	Abhishek can do a piece of work in 40 days. He alone worked at it for 8 days and then Bacchhan completed alone the rest work in 24 days. In how many days they will complete the whole work, working together?
Answer» `17 1/7` DAYS `18 1/7` days `9 1/6` days 14 days Answer :A

Discussion

5495.	A person bought a motorbike under the following scheme: Down payment of Rs. 15,000 and the rest amount at 8% per annum for 2 years. In this way, he paid Rs. 28,920 in total. Find the actual price of the motorbike.
Answer» RS. 26,000 Rs. 27,000 Rs. 27,200 Rs. 26,500 Answer :B

Discussion

5496.	If 5n + 12 < 50, when n in N, then the value of n which satisfies the given inequality is :
Answer» `5 lt n lt 12` `3n^2 le 150` `4n+5 le 33` `4n^2+3 NE 200` Answer :C

Discussion

5497.	Rs. 8000 invested at compound interest, gives Rs. 1261 as interest after 3 years. The rate of interest per annum is:
Answer» ANSWER :`5%`

Discussion

5498.	If (a +b):(a-b)= 5 : 3then find (a^2 + b^2):(a^2 -b^2).
Answer» `17 : 15` `25 : 9` `4 : 1` `16 : 1` ANSWER :A

Discussion

5499.	Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral equals :
Answer» a. `1/6` B. `1/3` C. `1/10` d. NONE of these Answer :C

Discussion

5500.	A,B and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre O are 90^@ and 110^@ respectively . Furthersuppose that the centre O lieson the interior angleBAC. The angle BAC is
Answer» `40^@` `80^@` `160^@` `20^@` Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

HCF andLCMof two numbers are 144 and 864 . If one number is 288 find 2nd number.

The value of log_2log_3log_5(125)^3 is :

C.P. of two books is same. One sold at 15% profit and the other for ₹ 4800 more than the first. If the net profit is 20% then find the C.P. of each book?

If x+ (1)/(x)=3, then x^(4) + (1)/(x^(4))= ?

A and B are two stations 1000 km apart. A train starts from A and moves towards B at 40km/h. Another train starts from B at the same time and moves towards A at 60km/h. How far from A will they cross each other?

The ratio of the length of the parallel sides of a trapezium is 3:2. The shortest distance between them is 20 cm. If the area of the trapezium is 550 cm^2, the sum of the lengths of the parallel sides is-

iff(x)=2xe^(2x) findf'(x)

A on reaction with Br-Cl gives :

Simplify the following ratios:5/6:3/8: 3 3/4

In what ratio should freely available water and a premium priced water be mixed so that after selling the mixture at the cost price a profit of 33.33% is made?

Three sides of a triangle ABC are a, b, c. a=4700 cm, b=4935 cm and c=6815 cm. The internal bisector of ZA meets BC at P, and the bisector passes through incentre O. What is ratio of PO:OA ?

(log (a^(3)/(bc)) + log (b^(3)/(ac)) + log (c^(3)/(ab))) is equal to :

If the cost of a calculator worth ₹ 250 in increased by ₹100, the rate of increase is

If 10 objects are arranged in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is :

The price of a car depreciates in the first year by 25% in the second year by 20% in the third year by 15% and so on. The final price of the car after 3 years, if the present cost of the car is Rs. 10,00,000 :

The point (4,3) is translated to thepoint (3,1) and then the axes arerotated through an angle of 30^(@) aboutthe origin,then the new coordinatesof the point ((1)/(sqrt(2)),(sqrt(3)-1)/(2)),((sqrt(3)+2)/(2),(2sqrt(3)+1)/(2)),((sqrt(3))/(2),(2sqrt(3))/(5)),((sqrt(3)+2)/(2),(2sqrt(3)-1)/(2))

If (sec^(4)alpha)/(sec^(2)beta)-(tan^(4)alpha)/(tan^(2)beta)=1 where alpha,betane(pi)/(2), then find the value of (sec^(4)beta)/(sec^(2)alpha)-(tan^(4)beta)/(tan^(2)alpha)

The area of a circle whose radius is the diagonal of a square whose area is 4 sq. units is :

The value of (2^(log_(3)7)-7^(log_3 2)) is :

Out of a sum of Rs. 625, a part was lent at 5% SI and the other at 10% SI. If the interest on the first part after 2 years is equal to the interest on the second part after 4 years , then the second sum (in Rs. ) is :

The number of ways in which we can select 5 numbers from the set of numbers {1, 2, 3, ..., 25) such that none of the selections includes four consecutive numbers is :

Find the remainder when (777777 …… 1000 times) is divided by 13.

A person can walk a certain distance and drive back in 6 h. He can also walk both ways in 10 h. How much time will he take to drive both ways?

Einstein walk in an escalator at a rate of 5 steps per second and reaches the other end in 10 seconds. While coming back, walking at the same speed he reaches the starting point in 40 seconds. What is the number of steps on the escalator?

(1212)/( 0.5) = 6.06 xx?

(A + B) can do a piece of work in 14 days. A works3(1)/(2)days and B works for 11(1)/(2)days, then half of the work has been completed. In how many days will B do this work alone ?

Number of ways in which 20 different pearls of two colours can be set alternately on a necklace, there being 10 pearls of each colour.

5 - Digit numbers are to be formed using 2, 3, 5, 7, 9 without repeating the digits. If p be the number of such numbers that exceed 20000 and q be the number of those that lie between 30000 and 90000, then p:q is:

If .^(56)P_(r+6):.^(54)P_(r+3)=30800:1, find .^(r)P_(2).

Ify=2x^2+12x+35 , then dy/dx at x=3

The total number of 3-digit numbers, the sum of whose digits is even, is equal to

The number of ways in which a mixed doubles game in tennis can be arranged form 5 married couples, if no husband and wife play in the same game, is

Ticketsarenumbered from1to 18 aremixeduptogether and then9 ticketisdrawnat random . Findtheprobability that thetickethasa number, whichis amultipleof 2 or 3 .

A circle of radius 'a' is divided into 6 equal sectors. An equilateral triangle is drawn on the chord of each sector to lie outside the circle. Area of the resulting figure is :

The number of three-digit numbers having only two consecutive digits identical is

If 42 persons consume 144kg of rice in 15 days, then in how many days will 30 persons consume 48 kg of rice?

ABCD is square. K and L are two points on AB such that AO = AK and BO = BL and angleLOK=theta. Find the value of tantheta.

The relation R(m, n) can be defined for every positive integer m,n as R (m,n)= m xx (m + 1) xx (m + 2) xx (m + 3) xx ……(m + n) and the relation R (1, n) is equal to n! or can be written as R (n). The value of (R(135))/(R(100, 35)) is :

The sides of a triangle are 25 m , 39 m and 56 m respectively . Find the perpendiculardistance from the vertex opposite to the side 56 m .

The ratio between the speeds of two train is 8:9. Second train covers 360 km in 4 h.Distance covered by first train in 3 h (in km) is

If x+ (1)/(x)= sqrt3 find x^(67) + x^(53) + x^(43) + x^(29) +x^(24) + x^(18) + x^(6) + 3

A train normally covers a certain distance at a speed of 60 km/hr. However, if it were to halt for a fixed time interval in each hour its average speed reduced to 50km/hr. what is the time interval for which the train halt in each hour?

Abhishek can do a piece of work in 40 days. He alone worked at it for 8 days and then Bacchhan completed alone the rest work in 24 days. In how many days they will complete the whole work, working together?

A person bought a motorbike under the following scheme: Down payment of Rs. 15,000 and the rest amount at 8% per annum for 2 years. In this way, he paid Rs. 28,920 in total. Find the actual price of the motorbike.

If 5n + 12 < 50, when n in N, then the value of n which satisfies the given inequality is :

Rs. 8000 invested at compound interest, gives Rs. 1261 as interest after 3 years. The rate of interest per annum is:

If (a +b):(a-b)= 5 : 3then find (a^2 + b^2):(a^2 -b^2).

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral equals :

A,B and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre O are 90^@ and 110^@ respectively . Furthersuppose that the centre O lieson the interior angleBAC. The angle BAC is