8677 + Interview Questions in Maths in Class 14 Page 128 InterviewSolution

6351.	Two men on either side of a tower 75 m high observe the angle of elevation of the top of the tower to be 30° and 60°. What is the distance between the two men ?
Answer» a.50√3 b. 100 C.75/√3 d. NONE ANSWER :C

Discussion

6352.	A vendor buys oragnes @ Rs. 2 for 3 oranges and sells them at a rupee each. To make a profit of Rs.10, he must sell :
Answer» ANSWER :30

Discussion

6353.	If x+ (1)/(x)= -2, find x^(112) - (1)/(x^(113))= ?
Answer» ANSWER :2

Discussion

6354.	Two alloys contain iron and lead in the ratio of 4 : 3 and 1 : 6 respectively. 7 kg of the first alloy, 14 kg of the second alloy and some amount of pure iron are mixed to from a new alloy. The resultant alloy has iron and lead in the ratio of 1 : 1. Find the weight of the resultant alloy.
Answer» ANSWER :30 KG

Discussion

6355.	Two persons start from the opposite ends of a 90 km straight track and run to and fro between the two ends. The speed of first person is 30 m/s and the speed of other is 120/6 m/s. They continue their motion for 10 hours. How many times they pass each other?
Answer» 10 9 12 none of these Answer :C

Discussion

6356.	The remainder R when 3^(37)+4^(37) is divided by 7 is :
Answer» 0 1 `2 LT R lt 6` NONE of these Answer :A

Discussion

6357.	If f(x)=5^(x), then f^(-1)(x) is :
Answer» `X^5` `5^-x` `log_5 x` NONE of these Answer :C

Discussion

6358.	The value of a coin varies directly to the square of its radius, when its thickness is constant. The radius of a coin is 1.5 cm and its value is ₹ 2. What will be the radius of a coin if its value is ₹ 5?
Answer» Solution :`V propto r^2 IMPLIES Kr^2` `2=Kxx(15)^2impliesK=2/225implies K=8/9` Again `5=8/9xxr^2implies r^2=(5xx9)/8` `THEREFORE r=3/2xxsqrt5/2=15xxsqrt25=15xx16` `rapprox2.4cm` Hence, REQUIRED radius=2.4 cm

Discussion

6359.	Akram Ali left an amount of ₹ 340000 to be divided between his two sons aged 10 years and 12 years such that both of them would get an equal amount when each attain 18 years age. What is the share of elder brother if the whole amount was invested at 10% simple interest:
Answer» 12000 16000 160000 180000 Answer :D

Discussion

6360.	O is the centre of a circle. AC and BD are two chords of the circle intersecting each other at P, If angleAOB =15^@ and angle APB = 30^@, then angle COD is equal to
Answer» ANSWER :C

Discussion

6361.	For every natural number n, the number of people in a village is (n+150) and each family of this village has (n+6) members. If in each village of this region the number of families is distinct, find the maximum number of villages in the region
Answer» 1.8 2.9 3.14 4.none of the these Answer :B

Discussion

6362.	A camel pursue an elephant and takes 5 leaps for every 7 leaps of the elephant, but 6 leaps of elephant are equal to 3 leaps of camel. What is the ratio of speed of camel and elephant?
Answer» Solution :RATIO of SPEED of CAMEL and elephant 5/3 : 7/5 = 5/3 XX 15 = 25 : 21

Discussion

6363.	Mahindra starts a journey for his office, which is in the north east of his home. An hour after starting meets with a minor accident. He takes one hour in resuming his journey. After that he proceeds at 5/6th of his former speed and arrives at the office 1 hour 36 minutes late than the scheduled time. Had the accident occured 80 kms further from the actual place of accident, he would have arrived 1 hour 20 minutes beyond the scheduled time. What is the distance between his office and his home?
Answer» A)180km B)240km C)250km D)300km Answer :B

Discussion

6364.	A spiritual organization, working for the world peace, has inducted 32 young volunteers none of whom knew each other before joining this organization. During the induction program they interacted with each other. Next dai it was observed that most of the volunteers became friend on the Facebook, but one-fifth of the girls denied becominf Facebook friend withone-third of the boys. Considering the natural Facebook friendship among some of the volunteers, the head of the organization asked them to visit the various regions of the world and spread the message of the world peace. She told them that a region would have to be visited by exactly 2 volunteers who are the Facebook friends and no any such pair would have to visit more than one region. Which is the possible number of regions that these volunteers could have visited?
Answer» 525 496 421 487 Answer :D

Discussion

6365.	The ratio of volumes of two cubes is 8:27. What is the ratio of surface area of these cubes respectively?
Answer» 0.085416666666667 0.17291666666667 0.34652777777778 0.37777777777778 Answer :B

Discussion

6366.	Shyam Lal takes a loan of ₹ 10500 at 10% p.a. compounded annually which is to be repaid in two equal annual instalments. One at the end of one year and the other at the end of the second year. The value of each instalments is
Answer» 5987 6050 6352.5 5678.5 Answer :B

Discussion

6367.	If we reverse the digits of a two digit number then the difference between the original number and new number is 27 the defference between the digits is :
Answer» 9 3 can't be DETERMINED NONE of these ANSWER :B

Discussion

6368.	The value of [Max (2,4)$ "Min" (6,8)] # [ "Min" (10,12) $ Max (14,16)]
Answer» 227 225 224 none of these Solution :[MAX (2, 4) $ Min (6, 8)] # [Min (10, 12) $ Max (14, 16)] = (4$6) # (10$16) = 2#6 = 227

Discussion

6369.	There are two square fields.Of the two squares fields one contains 1 hectares area while the other is broader by 11 per cent. Find the differece in area expressed in sq. m :
Answer» 2321 SQ m 1210 sq m 2121 sq m 7700 sq m Answer :A

Discussion

6370.	The number of ways in which 5 boys and 4 girls sit around a circular table so that no two girls sit together is:
Answer» a. 3600 b. 120o C. 2880 d. 1320 Answer :C

Discussion

6371.	A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs.6500 for 6 months, B invest Rs.8400 for 5 months and C invest Rs.10000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs.7400. Calculate the share of B in the profit.
Answer» A. RS 7500 B. Rs 2660 C. Rs 2800 D. Rs 2840 Answer :D

Discussion

6372.	At the eve of marriage anniversary of Tristan and lseult some special couples were invited. Out of them only 23 couples were there having one child per couple with them. When I observed it, I found that 13 men were without any child and 20 women were also without any child. It is known that there were only couples allowed to attend the ceremony. For your kind information we will not consider the couple (i.e., Tristan and Iseult) for any calculation, since they are hosts. The total number of couples who attended the party (i.e., anniversary).
Answer» 28 30 33 can't be determined Answer :A

Discussion

6373.	20% loss on selling price is what per cent loss on the cost price ?
Answer» a) `25%` B) `15%` c) `16(2)/(3)%` d) `16(1)/(3)%` ANSWER :B

Discussion

6374.	If a^((1)/(3)) + b^((1)/(3)) = c^((1)/(3)) then which option is correct ?
Answer» `a^(3) + B^(3) + c^(3) = ab` `a+ b+ c= 3ABC` `(a+b-c)^(3)+ 27abc= 0` `(a+b+ c)^(3) + 27abc= 0` ANSWER :A::B::C

Discussion

6375.	sec^(2)theta = frac{4xy}{(x+y)^(2)}is true if and only if
Answer» `x=y` `XNEY` `xgt2y` `2xlty`

Discussion

6376.	How many6 digit numbers can beformedfromthedigits1,2,4,5,6,7 ( nodigit beingrepeated) whichare divisibleby 5 ?
Answer» 555 156 120 none of these Answer :C

Discussion

6377.	If sin(x+y)=1andtan(x-y)=(1)/(sqrt(3)), then the value of sinx+tany is. (0^(@)ltx,ylt90^(@))
Answer» `(SQRT(3))/(2)` `(5)/(2sqrt(3))` `(4)/(sqrt(3))` `(sqrt(3))/(4)` Answer :B

Discussion

6378.	An A.P. and a G.P. with positive terms have the same number of terms and their first terms as well as last terms are equal. Then what can be said about the sum of the A.P. and G.P. If A_sand G_s denote the sum of the A.P. and G.P. respectively :
Answer» `A_S GE G_s` `A_s LE G_s` `A_s = G_s` can not be determined Answer :A

Discussion

6379.	Ten persons are arranged in a row. The number of ways of selecting four persons so that no twopersons sitting next to each other are selected is
Answer» 124 136 126 none of these Answer :C

Discussion

6380.	If 50 Lof milk solution has 40 %milk in it , then howmuch milk should be added to make it 60 %in the solution ?
Answer» ANSWER : 25 L

Discussion

6381.	Two tangents PA and PB are drawn from a point P to the circle. If the radius of the circle is 5 cm and AB = 6 cm and O is the centre of the circle. OP cuts AB at C and OC = 4 cm, then OP :-
Answer» `(25)/(4)` CM 25 cm 13 cm None of these Answer :A

Discussion

6382.	The number of two digit numbers which on being reversed (i.e., their digits exchanged the position) gives out perfect square two digit numbers:
Answer» 1 4 6 10 Answer :C

Discussion

6383.	If 5 th march 1991 was Friday what day of the week was it on 9th march 2000
Answer» WEDNESDAY SATURDAY FRIDAY THURSDAY ANSWER :D

Discussion

6384.	A line passes through the points A(2,-3) and B(6,3) , find the slope of the line which is parallel to AB :
Answer» `2/3` `3/2` `1/2` `3/4` ANSWER :B

Discussion

6385.	If the number 23^(32) - 9 is divided by 16, then the remainder is :
Answer» 8 0 6 none of these ANSWER :A

Discussion

6386.	A boat goes 12 km in 1 h in still water. It takes thrice time in covering the same distance against the current. Find the speed of the current.
Answer» a. 8 km/h B. 12 km/h c. 6 km/h d. 7 km/h Answer :A

Discussion

6387.	Convert (38.21)_(10) to its binary equivalent.
Answer» SOLUTION :

Discussion

6388.	How many different four digit numbers can be formed using digits 1, 2, 3, 4, 5, 6, 7, 8, 9 without repetition such that the digit 5 appears exactly once?
Answer» 1243 1234 1344 1355 Answer :C

Discussion

6389.	A can do a piece of work in 24 days. If B is 60% more efficient than A, then the number of days required by B to do the same piece of work is :
Answer» 10 15 12 9.6 Answer :B

Discussion

6390.	If area of a parallelogram with sides l and b is A and that of a rectangle with sides l andb isB, then :
Answer» A)`A LT B` B)`A=B` C)`AGTB` D)none of these Answer :A

Discussion

6391.	If we convert sin(-566^(@)) to same trigonometrical ratio of a positive angle lying between 0^(@) and 45^(@), then we get :
Answer» `cos26^@` `-cos26^@` `SIN26^@` `-sin26^@` ANSWER :C

Discussion

6392.	Find the area of the iron sheet required to prepare a cone 20 cm high with base radius 21 cm.
Answer» Solution :R = 21CM, h= 20cm therefore `l= sqrt(r^2+h^2) = 29CM` therefore Area of the SHEET = total surface area of the cone =`pi rl+ pi r^2 = pi r(l+r)` =`(22)/7 xx 21[29+21]` = `3300 cm^2`

Discussion

6393.	Simplify (6a^(-2)bc^(-3))/(4ab^(-3)c^(2))/(5a^(-3)b^(2)c^(-1))/(3ab^(-2)c^(3))
Answer» `9/10ac` `9/10ac^(-1)` `9/10ac^(2)` `9/10ac^(-3)` ANSWER :B

Discussion

6394.	6 litre is taken out from a vessel full of Kerosene and substituted by pure petrol. This process is repeated two more times. Finally the ratio of petrol and Kerosene in the mixture becomes 1701:27. Find the volume of the original solution:
Answer» 14 litre 16 litre 8 litre 42 litre Answer :C

Discussion

6395.	Find the nth term of an A.P. whose 6th and 8th terms are 12 and 22 respectively :
Answer» 7n-30 `n^2-24` 5n-18 none of these Answer :C

Discussion

6396.	The value of (sqrt(1 + sin x )+sqrt(1 - sin x))/(sqrt(1 + sin x )-sqrt(1-sin x))is equal to
Answer» cosec x + COT x cosec x + TAN x SEC x + tan x cosec x - cot x Answer :A

Discussion

6397.	I. 8x^(2)+58x+39 = 0""II.y^(2) - 35y+216=0
Answer» if`x lt y` if`x le y` if`x gt y` if`x GE y` Solution :I. ` 8x^(2) + 58x+ 39 = 0` ` rArr8x^(2) + 6x+52x+39 = 0` ` rArr (2x+13)(4x+3) = 0` `RARRX =- 3//4, -13//2` II. ` y^(2) - 35y+216 = 0` ` rArry^(2) - 27Y - 8y + 216 = 0` `rArr(y - 27)(y-8) = 0` ` rArry = 27, 8` ` y gt x`

Discussion

6398.	The number of 3 digit natural numbers less than 5,00 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits allowed) is equal to
Answer» 100 20 80 50 Answer :A

Discussion

6399.	If alpha, beta (alpha lt beta) are the roots of the equation 6x^(2) + 11x + 3 = 0, then which of the following are real ?
Answer» `0ltalphaltbeta` `alphalt0ltbetalt\|alpha\|` `alphaltbetalt0` `alphalt0lt\|alpha\|ltbeta` ANSWER :B

Discussion

6400.	If (x-5)(y+6)(z-8) = 1331, the minimum value of x+y+z is :
Answer» 40 33 19 not unique Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

Two men on either side of a tower 75 m high observe the angle of elevation of the top of the tower to be 30° and 60°. What is the distance between the two men ?

A vendor buys oragnes @ Rs. 2 for 3 oranges and sells them at a rupee each. To make a profit of Rs.10, he must sell :

If x+ (1)/(x)= -2, find x^(112) - (1)/(x^(113))= ?

Two alloys contain iron and lead in the ratio of 4 : 3 and 1 : 6 respectively. 7 kg of the first alloy, 14 kg of the second alloy and some amount of pure iron are mixed to from a new alloy. The resultant alloy has iron and lead in the ratio of 1 : 1. Find the weight of the resultant alloy.

Two persons start from the opposite ends of a 90 km straight track and run to and fro between the two ends. The speed of first person is 30 m/s and the speed of other is 120/6 m/s. They continue their motion for 10 hours. How many times they pass each other?

The remainder R when 3^(37)+4^(37) is divided by 7 is :

If f(x)=5^(x), then f^(-1)(x) is :

The value of a coin varies directly to the square of its radius, when its thickness is constant. The radius of a coin is 1.5 cm and its value is ₹ 2. What will be the radius of a coin if its value is ₹ 5?

Akram Ali left an amount of ₹ 340000 to be divided between his two sons aged 10 years and 12 years such that both of them would get an equal amount when each attain 18 years age. What is the share of elder brother if the whole amount was invested at 10% simple interest:

O is the centre of a circle. AC and BD are two chords of the circle intersecting each other at P, If angleAOB =15^@ and angle APB = 30^@, then angle COD is equal to

For every natural number n, the number of people in a village is (n+150) and each family of this village has (n+6) members. If in each village of this region the number of families is distinct, find the maximum number of villages in the region

A camel pursue an elephant and takes 5 leaps for every 7 leaps of the elephant, but 6 leaps of elephant are equal to 3 leaps of camel. What is the ratio of speed of camel and elephant?

The ratio of volumes of two cubes is 8:27. What is the ratio of surface area of these cubes respectively?

Shyam Lal takes a loan of ₹ 10500 at 10% p.a. compounded annually which is to be repaid in two equal annual instalments. One at the end of one year and the other at the end of the second year. The value of each instalments is

If we reverse the digits of a two digit number then the difference between the original number and new number is 27 the defference between the digits is :

The value of [Max (2,4)$ "Min" (6,8)] # [ "Min" (10,12) $ Max (14,16)]

There are two square fields.Of the two squares fields one contains 1 hectares area while the other is broader by 11 per cent. Find the differece in area expressed in sq. m :

The number of ways in which 5 boys and 4 girls sit around a circular table so that no two girls sit together is:

20% loss on selling price is what per cent loss on the cost price ?

If a^((1)/(3)) + b^((1)/(3)) = c^((1)/(3)) then which option is correct ?

sec^(2)theta = frac{4xy}{(x+y)^(2)}is true if and only if

How many6 digit numbers can beformedfromthedigits1,2,4,5,6,7 ( nodigit beingrepeated) whichare divisibleby 5 ?

If sin(x+y)=1andtan(x-y)=(1)/(sqrt(3)), then the value of sinx+tany is. (0^(@)ltx,ylt90^(@))

An A.P. and a G.P. with positive terms have the same number of terms and their first terms as well as last terms are equal. Then what can be said about the sum of the A.P. and G.P. If A_sand G_s denote the sum of the A.P. and G.P. respectively :

Ten persons are arranged in a row. The number of ways of selecting four persons so that no twopersons sitting next to each other are selected is

If 50 Lof milk solution has 40 %milk in it , then howmuch milk should be added to make it 60 %in the solution ?

Two tangents PA and PB are drawn from a point P to the circle. If the radius of the circle is 5 cm and AB = 6 cm and O is the centre of the circle. OP cuts AB at C and OC = 4 cm, then OP :-

The number of two digit numbers which on being reversed (i.e., their digits exchanged the position) gives out perfect square two digit numbers:

If 5 th march 1991 was Friday what day of the week was it on 9th march 2000

A line passes through the points A(2,-3) and B(6,3) , find the slope of the line which is parallel to AB :

If the number 23^(32) - 9 is divided by 16, then the remainder is :

A boat goes 12 km in 1 h in still water. It takes thrice time in covering the same distance against the current. Find the speed of the current.

Convert (38.21)_(10) to its binary equivalent.

How many different four digit numbers can be formed using digits 1, 2, 3, 4, 5, 6, 7, 8, 9 without repetition such that the digit 5 appears exactly once?

A can do a piece of work in 24 days. If B is 60% more efficient than A, then the number of days required by B to do the same piece of work is :

If area of a parallelogram with sides l and b is A and that of a rectangle with sides l andb isB, then :

If we convert sin(-566^(@)) to same trigonometrical ratio of a positive angle lying between 0^(@) and 45^(@), then we get :

Find the area of the iron sheet required to prepare a cone 20 cm high with base radius 21 cm.

Simplify (6a^(-2)bc^(-3))/(4ab^(-3)c^(2))/(5a^(-3)b^(2)c^(-1))/(3ab^(-2)c^(3))

6 litre is taken out from a vessel full of Kerosene and substituted by pure petrol. This process is repeated two more times. Finally the ratio of petrol and Kerosene in the mixture becomes 1701:27. Find the volume of the original solution:

Find the nth term of an A.P. whose 6th and 8th terms are 12 and 22 respectively :

The value of (sqrt(1 + sin x )+sqrt(1 - sin x))/(sqrt(1 + sin x )-sqrt(1-sin x))is equal to

I. 8x^(2)+58x+39 = 0""II.y^(2) - 35y+216=0

The number of 3 digit natural numbers less than 5,00 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits allowed) is equal to

If alpha, beta (alpha lt beta) are the roots of the equation 6x^(2) + 11x + 3 = 0, then which of the following are real ?

If (x-5)(y+6)(z-8) = 1331, the minimum value of x+y+z is :