8677 + Interview Questions in Maths in Class 14 Page 33 InterviewSolution

1601.	ABC is right angled triangle in which /_A= 90^(@), AB= 5 cm and AC= 12 cm. What is the approximate volume (in cm^(3)) of the double cone formed by rotating the triangle about its hypotenuse?
Answer» 145 290 435 580 Answer :B

Discussion

1602.	Which of the following expression is necessarily greter than 1?
Answer» `([h(x, y, Z)-J(x, y, z)])/(K(x, y, z))` `[g(x, y, z)-F(x, y, z)]xxm(x, y, z)` `(g(x, y, z))/(f(x, y, z))` `(f(x, y, z)+h(x, y, z)-g(x, y, z))/(j(x, y, z))` Answer :D

Discussion

1603.	Which one of the following sets of surds is in correct sequence of ascending order of their values?
Answer» `ROOT(4)(10), root(3)(6), sqrt(3)` `sqrt(3), root(4)(10), root(3)(6)` `sqrt(3), root(3)(6), root(4)(10)` `root(4)(10), sqrt(3), root(3)(6) ` Answer :B

Discussion

1604.	If cos(theta-alpha),costheta,cos(theta+alpha) are in H.P., then costheta sec""(alpha)/(2)=?
Answer» 0 `pm1` 2 `pmsqrt(2)` ANSWER :B

Discussion

1605.	On selling an article for ₹ 576 a trader loses 4%. In order to gain 4(1)/6%, he must sell that article for:
Answer» ₹ 636 ₹ 676 ₹ 625 can't be determined Answer :C

Discussion

1606.	The sum of first n numbers of the form (5k + 1), where k in I^+ is :
Answer» `N/2[5n^2-3]` `n(20-3n)` `n/2[5n+7]` NONE of these Answer :C

Discussion

1607.	The total surface area of the cylider is 2640 m^(2) and the sum of height and radius of base of cylinder is 30 m. What is the ratio of height and radius of the cylinder ?
Answer» 7:9 9:7 8:7 3:7 Answer :C

Discussion

1608.	In a 6 km race B has 250 m headstart and C has 500 m headstart by A, still A beats C and B by 235 m and 350 m respectively find the ratio of speeds of A : B : C.
Answer» ANSWER :400 : 360 : 351

Discussion

1609.	If (x^4+1/x^4)=34 then the value of (x-1/x)^2 is:
Answer» 1 2 3 4 Answer :D

Discussion

1610.	The sum of Rs. 2920 is divided among A, B and C such that if A gets Rs. 1 then B gets 80p but B gets Rs. 1 then C gets Rs. 1.40. How much C gets more than B.
Answer» 120 160 640 320 Answer :D

Discussion

1611.	Rahul purchased a house3 years ago for ₹ 2 lakh. Its value depreciated each year @ 25% p.a. What is the present value of house ?
Answer» SOLUTION :`200000(1-25/100)^3=200000xx(3/4)^3=84,375`

Discussion

1612.	Find((x^(2)-y^(2))^(3) + (y^(2) -z^(2))^(3)+ (z^(2) -x^(2))^(3))/((x-y)^(3) + (y-z)^(3) + (z-x)^(3))
Answer» `3(x+y) (y+z) (z+x)` `3(x+y) (y+z) (z-x)` `(x+y) (y+z) (z+x)` `9(x+y) (y+z) (z+x)`

Discussion

1613.	Arun and Satyam can complete a work individually in ,12 working days and 15 working days respectively with their full efficiencies. Arun does work only on Monday, Wednesday and Friday while Satyam does the work on Tuesday, Thursday and Saturday. Sunday is always off. But Arun and Satyam both works with half of their efficiencies on Friday and Saturday respectively. If Arun started the work on 1st January which falls on Monday followed by Satyam on the next day and so on (i.e., they work collectively in alternate days), then on which day work will be completed?
Answer» Tuesday Wednesday Thursday Friday Answer :C

Discussion

1614.	Three vessels having volumes in the ratio of 2:3:5 are full of a mixture of water and milk. In the first vessel ratio of water and milk is 1:3, in second 2:3 and in third vessel 2:5. If all the three vessels were poured out in a large container what is the resulting ratio of milk and water?
Answer» 43:96 438:962 348:962 962:438 Answer :D

Discussion

1615.	Consider the following statements. If a money is loaned at simple interest then the money gets doubled in 5 years if the rate of interest is 16(2)/3% money gets doubled in 5 years if the rate of interest is 20% money becomes four times in 10 years if it gets doubled in 5 years of these statements :.
Answer» a)(ii) and (III) are correct b)(iii) alone is correct C)(ii) alone is correct d)(ii) and (iii) are correct Answer :C

Discussion

1616.	A can finish a work in 12 days and B can do it in 15 days. After A had worked for 3 days, B also joined A to finish the remaining work. In how many days, the remaining work will be finished?
Answer» 3 4 5 6 Answer :C

Discussion

1617.	If (11)^a = (19)^b = (209)^c then the correct relation is:
Answer» `AB = (C )^(ab)` `a^b = c` ab = (ca+b) NONE of these Answer :C

Discussion

1618.	The value of log_(3sqrt(2)) 5832 is:
Answer» 12 9 6 none of these Answer :C

Discussion

1619.	If the simple interset on a certain sum of money afte 6 (1)/(4) years is (3)/(8) of the principal, then find the rate of interest per annum.
Answer» ANSWER :0.06

Discussion

1620.	Akul lent ₹ 6000 to Bakul for 2 years and ₹ 1500 to camlin for 4 years and received altogether from both ₹ 900 as simple interest. The rate of interest is :
Answer» `4%` `8%` `10%` `5%` ANSWER :D

Discussion

1621.	If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] + [3.4] + [2.7]?
Answer» (A) 9.99 (B) 11.11 (C) 19.91 (D) 16.61 Answer :D

Discussion

1622.	(64)^(2)÷root(3)(32768)=?
Answer» 128 132 142 104 Answer :A

Discussion

1623.	In the previous question (number 33) if Zahira starts first then in how many days, the work will be completed?
Answer» `14(1)/(5)` 14 `13(1)/(5)` `13(2)/(5)` ANSWER :D

Discussion

1624.	A reduction of Rs.1 per dozen in the price of eggs means that a dozen more eggs can be bought for Rs.182, then original price is
Answer» Rs.14 Rs. 15 Rs.12 Rs.10 Answer :A

Discussion

1625.	There are two chords AB and AC of equal length 8 cm . CB is produced to P. AP cuts circle at T s.t. AT = 5 cm . find PT
Answer» ANSWER :`X= (39)/(5)`

Discussion

1626.	If the cost price of 25 articles is equal to the selling price of 35 articles, find the profit/loss percentage. यदि 25 वस्तुओं की लागत मूल्य 35 वस्तुओं के विक्रय मूल्य के बराबर है तो लाभ / हानि प्रतिशत ज्ञात करें।
Answer» 25% 33(1/3)% 20% 30% Answer :`33(1)/(3)%` PROFIT

Discussion

1627.	A started a business with Rs. 52,000 and after 4 month B joined him with Rs. 39000. At the end of the year, out of the total profit B received total 20,000 including 25% of the profit as comission for managing the business. What amount did A receive?
Answer» ANSWER :RS. 20000

Discussion

1628.	If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) and alpha, beta lie between 0^(@) and 45^(@), find the value of tan 2alpha:
Answer» 56/63 56/33 25/33 65/63 Answer :B

Discussion

1629.	3x^(2) + 11x + 6 = 0 3x^(2) + 10y + 8 = 0
Answer» ` x gt y` ` x LT y` ` x ge y` x = y or relation cannot be established Solution :` 3x^(2) + 11x + 6 =0` ` 3x^(2) + 9x + 2x + 6 =0` ` x = -0.66, -3` ` 3y^(2) + 10y + 8 = 0` ` 3y^(2) + 6Y + 4y + 8 = 0` ` y = - 1.33, -2` PUT on number line ` -3,-2, - 1.33, -0.66`

Discussion

1630.	if log_(e)(x-1) + log_(e)(x) + log_(e)(x+1)=0, then
Answer» `x^2+e^(-1)` `x^3-x-1=0` `x^2+e-1=0` `x^3-x-e=0` ANSWER :B

Discussion

1631.	Find the remainder when 32^(32) is divided 3.
Answer» 0 1 3 2 Answer :B

Discussion

1632.	If the difference between the compound interest and simple interest on a certain sum of money for 3 years at 5% per annum is Rs 61, find the sum.
Answer» ANSWER :RS. 8000

Discussion

1633.	Pipe A can fill the tank in 4 hours, while pipe B can fill it in ’6 hours working separately. Pipe C can empty whole the tank in 4 hours. He opened the pipe A and B simultaneously to fill the empty tank. He wanted to adjust his alarm so that he could open the -pipe C when it was half-filled, but he mistakenely adjusted his alarm at a time when his tank would be 3//4 th filled. What is the time difference between both the cases, to fill, the tank fully
Answer» 48 min 54 min 30 min none of these Answer :B

Discussion

1634.	If the angles of a triangle are in the ratio 1:2:3, find the ratio between corresponding sides :
Answer» `3:2:1` `1:SQRT3:2` `6:3:2` `1:SQRT2:sqrt3` ANSWER :B

Discussion

1635.	If x+ (1)/(x)= -1 findx^(10) + (1)/(x^(10))=?
Answer» ANSWER :`-1`

Discussion

1636.	The sum of the series : S = 1/(1.2) + 1/(2.3) + 1/(3.4) + 1/(4.5) + …. + 1/(99.100) is:
Answer» `a) 98/99` B)`99/100` `C)S GT 1` d)NONE of these Answer :B

Discussion

1637.	What is the average of the first six prime numbers ?
Answer» 6.53 6.63 6.73 6.83 Answer :D

Discussion

1638.	D and E , are the mid-points of AB and AC of Delta ABC, BCis produced to any point P. DE, DP and EP are joined, then Delta PED is equal to ?
Answer» ANSWER :`DeltaPED=(1)/(4)DELTAABC`

Discussion

1639.	A natural number N is such that 10^10 lt N lt 10^10 and the sum of its digits is 3. Find the total number of values of N.
Answer» 121 111 222 144 Answer :D

Discussion

1640.	Four years ago, the average age of A and B was 20 years. If today average age of A, B and C is 25 years, what will be age of C after 7 years?
Answer» 38 years 36 years 34 years 32 years Answer :B

Discussion

1641.	How long will a man take to go, walking at 13.2 km/h , round a circular garden of 700 m radius ?
Answer» 12 min 30 min 20 min none of these Answer :C

Discussion

1642.	If cos^(2)x+cos^(4)x=1, then find the value of tan^(2)x+tan^(4)x.
Answer» 0 3 1 4 Answer :C

Discussion

1643.	A teacher gave her students two tests. If 45% of the students passed both tests and 60% passed the first test, what is the probability that a student who passed the first test also passed the second? Round your answer to the nearest percent.
Answer» ANSWER :`60%`

Discussion

1644.	Find the value of angleDCE :
Answer» `100^(@)` `80^(@)` `90^(@)` `75^(@)` ANSWER :B

Discussion

1645.	From a point on a circular track 5 km long A, B and C started running in the same direction at the same time with speed of 2 1/2 km per hour 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after.
Answer» 30 HOURS 6 hours 10 hours 15 hours ANSWER :C

Discussion

1646.	Find the value of (1-cosA)/(1+cosA).
Answer» `((1-cosA)/(SINA))^(2)` `(1-cosA)/(2SINA)` `((sinA)/(1-cosA))^(2)` `(sinA)/(1+cosA)` ANSWER :A

Discussion

1647.	Find the maximum and minimum values of 8costheta+15sintheta:
Answer» 17 and -17 16 and -9 25 and 0 36 and 25 Answer :A

Discussion

1648.	A, B and C can finish a piece of work in 12 days, 16 days and 20 days respectively. they started working together.On every second day B is on leave and every 4th days C is on leave and so on. Then in how many days work will be finished?
Answer» ANSWER :6 DAYS

Discussion

1649.	The value of log_(81)27 is:
Answer» `3^7` `4/3` `3/4` `1/3` ANSWER :C

Discussion

1650.	If the right circular cone is separated into three solids of volumes V_1, V_2 and V_3 by two planeswhich are parallel to the base and trisectsthe altitude , then V_1 : V_2 : V_3 is :
Answer» `1:2:3` `1:4:6` `1:6:9` `1:7:19` ANSWER :D

Discussion

Explore topic-wise InterviewSolutions in .

ABC is right angled triangle in which /_A= 90^(@), AB= 5 cm and AC= 12 cm. What is the approximate volume (in cm^(3)) of the double cone formed by rotating the triangle about its hypotenuse?

Which of the following expression is necessarily greter than 1?

Which one of the following sets of surds is in correct sequence of ascending order of their values?

If cos(theta-alpha),costheta,cos(theta+alpha) are in H.P., then costheta sec""(alpha)/(2)=?

On selling an article for ₹ 576 a trader loses 4%. In order to gain 4(1)/6%, he must sell that article for:

The sum of first n numbers of the form (5k + 1), where k in I^+ is :

The total surface area of the cylider is 2640 m^(2) and the sum of height and radius of base of cylinder is 30 m. What is the ratio of height and radius of the cylinder ?

In a 6 km race B has 250 m headstart and C has 500 m headstart by A, still A beats C and B by 235 m and 350 m respectively find the ratio of speeds of A : B : C.

If (x^4+1/x^4)=34 then the value of (x-1/x)^2 is:

The sum of Rs. 2920 is divided among A, B and C such that if A gets Rs. 1 then B gets 80p but B gets Rs. 1 then C gets Rs. 1.40. How much C gets more than B.

Rahul purchased a house3 years ago for ₹ 2 lakh. Its value depreciated each year @ 25% p.a. What is the present value of house ?

Find((x^(2)-y^(2))^(3) + (y^(2) -z^(2))^(3)+ (z^(2) -x^(2))^(3))/((x-y)^(3) + (y-z)^(3) + (z-x)^(3))

Three vessels having volumes in the ratio of 2:3:5 are full of a mixture of water and milk. In the first vessel ratio of water and milk is 1:3, in second 2:3 and in third vessel 2:5. If all the three vessels were poured out in a large container what is the resulting ratio of milk and water?

A can finish a work in 12 days and B can do it in 15 days. After A had worked for 3 days, B also joined A to finish the remaining work. In how many days, the remaining work will be finished?

If (11)^a = (19)^b = (209)^c then the correct relation is:

The value of log_(3sqrt(2)) 5832 is:

If the simple interset on a certain sum of money afte 6 (1)/(4) years is (3)/(8) of the principal, then find the rate of interest per annum.

Akul lent ₹ 6000 to Bakul for 2 years and ₹ 1500 to camlin for 4 years and received altogether from both ₹ 900 as simple interest. The rate of interest is :

If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] + [3.4] + [2.7]?

(64)^(2)÷root(3)(32768)=?

In the previous question (number 33) if Zahira starts first then in how many days, the work will be completed?

A reduction of Rs.1 per dozen in the price of eggs means that a dozen more eggs can be bought for Rs.182, then original price is

There are two chords AB and AC of equal length 8 cm . CB is produced to P. AP cuts circle at T s.t. AT = 5 cm . find PT

A started a business with Rs. 52,000 and after 4 month B joined him with Rs. 39000. At the end of the year, out of the total profit B received total 20,000 including 25% of the profit as comission for managing the business. What amount did A receive?

If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) and alpha, beta lie between 0^(@) and 45^(@), find the value of tan 2alpha:

3x^(2) + 11x + 6 = 0 3x^(2) + 10y + 8 = 0

if log_(e)(x-1) + log_(e)(x) + log_(e)(x+1)=0, then

Find the remainder when 32^(32) is divided 3.

If the difference between the compound interest and simple interest on a certain sum of money for 3 years at 5% per annum is Rs 61, find the sum.

If the angles of a triangle are in the ratio 1:2:3, find the ratio between corresponding sides :

If x+ (1)/(x)= -1 findx^(10) + (1)/(x^(10))=?

The sum of the series : S = 1/(1.2) + 1/(2.3) + 1/(3.4) + 1/(4.5) + …. + 1/(99.100) is:

What is the average of the first six prime numbers ?

D and E , are the mid-points of AB and AC of Delta ABC, BCis produced to any point P. DE, DP and EP are joined, then Delta PED is equal to ?

A natural number N is such that 10^10 lt N lt 10^10 and the sum of its digits is 3. Find the total number of values of N.

Four years ago, the average age of A and B was 20 years. If today average age of A, B and C is 25 years, what will be age of C after 7 years?

How long will a man take to go, walking at 13.2 km/h , round a circular garden of 700 m radius ?

If cos^(2)x+cos^(4)x=1, then find the value of tan^(2)x+tan^(4)x.

A teacher gave her students two tests. If 45% of the students passed both tests and 60% passed the first test, what is the probability that a student who passed the first test also passed the second? Round your answer to the nearest percent.

Find the value of angleDCE :

From a point on a circular track 5 km long A, B and C started running in the same direction at the same time with speed of 2 1/2 km per hour 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after.

Find the value of (1-cosA)/(1+cosA).

Find the maximum and minimum values of 8costheta+15sintheta:

A, B and C can finish a piece of work in 12 days, 16 days and 20 days respectively. they started working together.On every second day B is on leave and every 4th days C is on leave and so on. Then in how many days work will be finished?

The value of log_(81)27 is:

If the right circular cone is separated into three solids of volumes V_1, V_2 and V_3 by two planeswhich are parallel to the base and trisectsthe altitude , then V_1 : V_2 : V_3 is :