8677 + Interview Questions in Maths in Class 14 Page 4 InterviewSolution

151.	A cycle can be purchased on cash payment of Rs. 1500 but the same cycle can also be purchased on the cash down payment of Rs. 350 and rest can be paid in 3 equal annual installment of Rs. 400 for next 3 months. Find rate of S.I.?
Answer» a. `23 (9)/17%` b `17(9)/23%` C. `(80)/3%` d. NONE of these Answer :D

Discussion

152.	What is the least possible number which when divided by 2, 3,4,5,6 it leaves the remainders 1,2,3,4,5 respectively ?
Answer» Solution :SINCE the difference is same as (2 -1) = (3 - 2)= (4 - 3) = ( 5 - 4) = (6 - 5) = 1 HENCE the required NUMBER = (LCM of 2, 3 , 4 , 5 , 6) - 1 = 60 - 1 = 59.

Discussion

153.	In the Polo hospital some pateints who were suffering from the Hepatites-B were admitted for the treatment, but 9% of the patients were died within half an hour. After treatment, the percentage of patients cured out of the remaining was only 80%. Out of these patients only 70% are completely cured out and the remaining were partially cured out which were equal to 153 patients. The no. of patients (approx.) who were admitted for the treatment for the same was :
Answer» 400 678 560 700 Answer :D

Discussion

154.	Astha has pens and pencils which together are 40 in number.if she has 5 more pencils and 5 less pens ,the number of pencils would have become 4 times the number of pens.find the original number of pens with Astha.
Answer» 11 12 13 14 Answer :C

Discussion

155.	The area of a rectangle and square are equal. The side of the square is 5 cm and the smaller side of the rectangle is half that of the square. The length of the other side of the rectangle would be
Answer» 12.5 cm 10 cm 8 cm 5 cm Answer :C

Discussion

156.	A sum of money on compound interest amount to Rs. 9680 in 2 years and to Rs. 10648 in 3 years. What is the rate of interest per annum?
Answer» ANSWER :`10%`

Discussion

157.	If a,b,c be the pth , qth, rth terms of a GP then the value of (q-r)log a+ (r-p) log b + (p-q) log c is:
Answer» 0 1 `-1` PQR ANSWER :A

Discussion

158.	The ratio of personal income of A and B of last year is 9:12. The ratio of last year's income and current year's income of A and B is 3 : 4 and 4 : 5 respectively. The sum of current income of both is Rs. 54000. Then find out A and B's current income separately
Answer» `2400,3000` `3000,2600` `24000,30000` `4200,5400` ANSWER :C

Discussion

159.	Find maximum & minimum value of sin^(6)theta+cos^(6)theta
Answer» ANSWER :`(1)/(4)`

Discussion

160.	A toy factory manufactured a batch of electronic toys. If the toys were packed in boxes of 115 each, 13 boxes would not be filled completely. If the toys were packed in boxes of 65 each, 22 such boxes would not be enough to pack all of them. Coincidentally, in the end, thetoys were packed n boxes containing n in toys each, without any remainder. The, total number of toys was:- एक खिलौना फैक्टरी ने इलेक्ट्रॉनिक खिलौना के एक बैच का निर्माण किये।यदि प्रत्येक बक्से में 115 खिलौने पैक किए गए थे, तो 13 बक्से पूरी तरह भर नही पाएगे। यदि लड़के प्रत्येक बकसे में 65 खिलोने पैक करते है, इस तरह के 22 बक्से खिलोने -को पैक करने के लिए पर्याप्त नहीं होगे। संयोगवश अंत में बिना किसी शेष के 'n' बक्से मेंn खिलौने पैक किए जाते है, कूल कितने खिलोने थे?
Answer» 1424 1434 1444 1454 Answer :C

Discussion

161.	If 2s = 9, then the value of s^2 + (s-1)^2 + (s-3)^2 + (s-5)^2 is :
Answer» 9 25 45 35 Answer :D

Discussion

162.	If n is an integer, then (n^(3) - n) is always divisible by :
Answer» 4 5 6 7 Answer :C

Discussion

163.	If x+ (1)/(x)=1, find x^(10) + (1)/(x^(10))=
Answer» ANSWER :`-1`

Discussion

164.	A policeman saw a thief from a distance of 200m and started running towards him. If speed of policeman and thief are 12 km/h & 10 km/h respectively. Find the distance thief had run before caught.
Answer» ANSWER :1 KM

Discussion

165.	Five years ago, A was thrice as old as B and 10 years later, A shall be twice as old as B. What are the present ages of A and B?
Answer» 45,15 30,40 50,30 50,20 Answer :D

Discussion

166.	Modern electronic shop sold the 30% hardware at the profit of 50% and 90% software at the profit of 10%. The average profit per cent of the Modern electronic shop os, if it sells only these two kinds of things:
Answer» 15 20 25 45 Solution : The ACTUAL ratio is 3:1. So, the reversed ratio is 1:3. Now DIVIDE the difference of 10 and 50 in the ratio of 1:3 then add the first part to the 10 or SUBTRACT the second part from the 50. i.e., Required AVERAGE = `10+(50-10)xx1/4` = 10+10 = 20 or 50-(50-10)xx3/4 = 20`

Discussion

167.	Pushpak Express leaves Lucknow at 6 a.m. and 2 hours later another train Bhopal Express leaves Lucknow both train arrive Bhopal at 4 P.M on the same day with the difference between their speeds be 10 km per hour what is the average speeds of both the trains over the entire route
Answer» 40 km/h 44(4/9)km/h 42(3/5)km/h none of these Answer :B

Discussion

168.	A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ?
Answer» A) 32.5 hrs B) 29.25 hrs C) 30.30 hrs D) 31 hrs Answer :`(3)/(1)`

Discussion

169.	If due to 10% decrease in the price of sugar,Ram can buy 5kg more sugar in Rs100,then find the find actual price of sugar.
Answer» ANSWER :`2(2)/(9)`

Discussion

170.	(A + B) can do a piece of work in 10 days. A works 2(1)/(2)days and B works for 8(1)/(2)days,then half of the work has been completed. In how many days will B do this work alone ?
Answer» ANSWER :24 DAYS

Discussion

171.	The sum of an infinite G.P. is 16 and the sum of the squares of its terms is 153(3)/(5) . Find the fourth term of the progression :
Answer» (5/3) (5/32) (3/16) NONE of these Answer :C

Discussion

172.	The value of x satisfying log_(243) x=0.8 is:
Answer» 81 `1.8` `2.43` NONE of these Answer :A

Discussion

173.	What is the difference in the marks obtained by B in English and Mathematics together and the marks obtained by F in the same subjects?
Answer» 24 17 15 28 Answer :A

Discussion

174.	A straight line through the vertex of a triangle PQR intersects the side QR at the point S and the circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then (i) 1/(PS)+1/(ST)lt2/(sqrt(QSxxSR))(ii) 1/(PS)+1/(ST)gt2/(sqrt(QSxxSR))(iii)1/(PS)+1/(ST)lt4/(QS)1/(PS)+1/(ST)gt4/(QR)
Answer» (i) and (III) (II) and (IV) (i) and (iv) (ii) and (iii) ANSWER :B

Discussion

175.	If the area of a circle is equal to the area of square with side 2 root pi units, what is the diameter of the circle ?
Answer» 1 unit 2 units 4 units 8 units Answer :C

Discussion

176.	If x=3 and y=4 , find the value of (15x) /(12y)
Answer» SOLUTION :`(15X)/(12Y)=(15xx3/12xx4)=15/16`

Discussion

177.	Find the value of log_(s) log_(s) (3125)
Answer» ANSWER :1

Discussion

178.	If the interest on Rs. 800 be more than the interest on Rs. 400 by Rs. 40 in 2 years, then find the rate of interest per annum.
Answer» ANSWER :0.05

Discussion

179.	The present worth of a sum due sometime hence is ? 400 and the true discount is ? 80. Find the banker's gain.
Answer» ANSWER :RS. 16

Discussion

180.	Let alpha and beta be the toots of x^2-6x-2=0, with alphagtbeta . If a_n=alpha^n-beta^n for nge1, then the value of the following rational function is: f=(a_(10)-2a_8)/(2a_9)
Answer» 1 2 3 4 Answer :C

Discussion

181.	A man purchased a box full of pencils at the rate of 7 for Rs. 9 and sold all of them at the rate of 8 for Rs. 11. In this transaction, he gained Rs. 10. How many pencils did the box contian ?
Answer» ANSWER :112

Discussion

182.	Rs. 39030 is divide between 'a' and 'b' in such a way that amount given to 'a' on C.I. in 7 years is equal to amount given to 'b' on C.I. in 9 years. Find the part of 'a'. If the rate of interest is 4%.
Answer» ANSWER :RS. 20280

Discussion

183.	Sania wanted to cut a cubical cake into 120 identical pieces applying minimum number of'n' cuts. Later on she realised that she had to cut this cake into maximumm number of indentical pieces. i.e., 125 pieces. Now she applies the number of cuts is :
Answer» N `n + 5 ` `n + 1` can't be determined Answer :A

Discussion

184.	In the previous question (no.28) how many games were played?
Answer» 208 156 316 none of these Answer :B

Discussion

185.	A company allows 11%commission on total sales. If the salesman is appointed on a fixed salary of Rs. 8200 and 5% commission on the sales more than Rs. 20000, then the salesman gets Rs. 1200 more. Find the total sales made by the salesman.
Answer» ANSWER : RS. 100000

Discussion

186.	What smallest number should be subtracted from 9805 so that it is divisible by 8?
Answer» 3 4 5 7 Answer :D

Discussion

187.	A ladder is leaning against a wall. It makes a 60° angle with the wall. If the distance between foot of ladder and wall is 5.5 meters, find the length of the ladder.
Answer» 9.5m 10m 10.5m 11m Answer :B

Discussion

188.	A man 1.5 meter tall is 30sqrt3 meter away from a building. When he sees the top of building the angle of elevation is 30°. Find the height of the building?
Answer» 48 m 53.4m 30 m 31.5m Answer :C

Discussion

189.	The angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower?
Answer» 30 m 29 m 28 m 26 m Answer :B

Discussion

190.	The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30° angle with the horizontal, find the length of the wire?
Answer» 8.5m 8m 7.5m 7 m Answer :B

Discussion

191.	Find the average of square of first 5 consecutive natural numbers.
Answer» 12 10 16 11 Answer :D

Discussion

192.	Answer these questions based on the following informations There are Twelve points on a plane, out of which four are collinear points Find the maximum number of quadrilaterals formed by joining the twelve points.
Answer» (A) 495 (B) 491 (C) 494 (D) 400 Answer :C

Discussion

193.	Answer these questions based on the following informations There are Twelve points on a plane, out of which four are collinear points Find the maximum number of hexagons formed by joining the twelve points.
Answer» (a) 900 (B) 924 (C) 906 (d) 672 Answer :B

Discussion

194.	A tortoise can complete a full round on the circular track in 8 min, while the rabbit can do the same on the same circular track in 5 min. A,B,C and D are the four consecutive points on the circular track which are equidistant from each other. A is opposite to C and B is opposite to D. After how many min. will they meet together for the first time when both have started simultaneously from the same point in the same direction?
Answer» ANSWER :(i) `40/3` min (II) 40 min (III) 2.5 min (iv) `25/3` min

Discussion

195.	The numbers 1, 3, 5,7, . 99 and 128 aremultiplied together. The number of zeros at the end of the product must beNil(b) 7 (c) 19 (d) 22
Answer» 19 22 7 Nil Answer :C

Discussion

196.	Sarvesh wants to prepare a bouquet with roses, lilies, orchids and carnations, so he walked inyo a large garden of flowers. In how many ways can he prepare a bouquet of 15 flowers such that he selects at least 1 rose, 2 lilies, 3 orchids and 4 carnations for his bouquet?
Answer» A) 24 B) 120 C) 56 D) 112 Answer :C

Discussion

197.	A car travels from P to Q at a constant speed. If its speed were increased by 10 km/h, it would have taken one hour less to cover the distance. It would have taken further 45 min lesser if the speed were further increased by 10 km/h. What is the distance between two cities?
Answer» ANSWER :420 KM

Discussion

198.	When a number is divided by 361 feaves remainder 47 . Ifsame number is divided by 19. find remainder .
Answer» ANSWER :`9TO(38)/(9)` R

Discussion

199.	Rs 19400 is divided into two parts. First part is lent out at 8% per annum for 5 years and the other part is lent out at 4% per annum for9 years. If the ratio of simple interest received on two part is 3:7 . Find the amount of second part.
Answer» RS 5400 Rs 14000 Rs 9700 None of these Answer :Rs. 18900

Discussion

200.	The radius of the base of a right cone is 35 cm and its height is 84 cm. Find : total surface area
Answer» Solution :TOTAL surface AREA = lateral surface area + base area =`pi RL+ pi r^2 = pi r(l+r)` =`(22)/7 XX 35 (91+84)` =`110xx175 = 19250 cm^2`

Discussion

Explore topic-wise InterviewSolutions in .

A cycle can be purchased on cash payment of Rs. 1500 but the same cycle can also be purchased on the cash down payment of Rs. 350 and rest can be paid in 3 equal annual installment of Rs. 400 for next 3 months. Find rate of S.I.?

What is the least possible number which when divided by 2, 3,4,5,6 it leaves the remainders 1,2,3,4,5 respectively ?

Astha has pens and pencils which together are 40 in number.if she has 5 more pencils and 5 less pens ,the number of pencils would have become 4 times the number of pens.find the original number of pens with Astha.

The area of a rectangle and square are equal. The side of the square is 5 cm and the smaller side of the rectangle is half that of the square. The length of the other side of the rectangle would be

A sum of money on compound interest amount to Rs. 9680 in 2 years and to Rs. 10648 in 3 years. What is the rate of interest per annum?

If a,b,c be the pth , qth, rth terms of a GP then the value of (q-r)log a+ (r-p) log b + (p-q) log c is:

The ratio of personal income of A and B of last year is 9:12. The ratio of last year's income and current year's income of A and B is 3 : 4 and 4 : 5 respectively. The sum of current income of both is Rs. 54000. Then find out A and B's current income separately

Find maximum & minimum value of sin^(6)theta+cos^(6)theta

If 2s = 9, then the value of s^2 + (s-1)^2 + (s-3)^2 + (s-5)^2 is :

If n is an integer, then (n^(3) - n) is always divisible by :

If x+ (1)/(x)=1, find x^(10) + (1)/(x^(10))=

A policeman saw a thief from a distance of 200m and started running towards him. If speed of policeman and thief are 12 km/h & 10 km/h respectively. Find the distance thief had run before caught.

Five years ago, A was thrice as old as B and 10 years later, A shall be twice as old as B. What are the present ages of A and B?

Modern electronic shop sold the 30% hardware at the profit of 50% and 90% software at the profit of 10%. The average profit per cent of the Modern electronic shop os, if it sells only these two kinds of things:

Pushpak Express leaves Lucknow at 6 a.m. and 2 hours later another train Bhopal Express leaves Lucknow both train arrive Bhopal at 4 P.M on the same day with the difference between their speeds be 10 km per hour what is the average speeds of both the trains over the entire route

A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ?

If due to 10% decrease in the price of sugar,Ram can buy 5kg more sugar in Rs100,then find the find actual price of sugar.

(A + B) can do a piece of work in 10 days. A works 2(1)/(2)days and B works for 8(1)/(2)days,then half of the work has been completed. In how many days will B do this work alone ?

The sum of an infinite G.P. is 16 and the sum of the squares of its terms is 153(3)/(5) . Find the fourth term of the progression :

The value of x satisfying log_(243) x=0.8 is:

What is the difference in the marks obtained by B in English and Mathematics together and the marks obtained by F in the same subjects?

If the area of a circle is equal to the area of square with side 2 root pi units, what is the diameter of the circle ?

If x=3 and y=4 , find the value of (15x) /(12y)

Find the value of log_(s) log_(s) (3125)

If the interest on Rs. 800 be more than the interest on Rs. 400 by Rs. 40 in 2 years, then find the rate of interest per annum.

The present worth of a sum due sometime hence is ? 400 and the true discount is ? 80. Find the banker's gain.

Let alpha and beta be the toots of x^2-6x-2=0, with alphagtbeta . If a_n=alpha^n-beta^n for nge1, then the value of the following rational function is: f=(a_(10)-2a_8)/(2a_9)

A man purchased a box full of pencils at the rate of 7 for Rs. 9 and sold all of them at the rate of 8 for Rs. 11. In this transaction, he gained Rs. 10. How many pencils did the box contian ?

Rs. 39030 is divide between 'a' and 'b' in such a way that amount given to 'a' on C.I. in 7 years is equal to amount given to 'b' on C.I. in 9 years. Find the part of 'a'. If the rate of interest is 4%.

Sania wanted to cut a cubical cake into 120 identical pieces applying minimum number of'n' cuts. Later on she realised that she had to cut this cake into maximumm number of indentical pieces. i.e., 125 pieces. Now she applies the number of cuts is :

In the previous question (no.28) how many games were played?

A company allows 11%commission on total sales. If the salesman is appointed on a fixed salary of Rs. 8200 and 5% commission on the sales more than Rs. 20000, then the salesman gets Rs. 1200 more. Find the total sales made by the salesman.

What smallest number should be subtracted from 9805 so that it is divisible by 8?

A ladder is leaning against a wall. It makes a 60° angle with the wall. If the distance between foot of ladder and wall is 5.5 meters, find the length of the ladder.

A man 1.5 meter tall is 30sqrt3 meter away from a building. When he sees the top of building the angle of elevation is 30°. Find the height of the building?

The angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower?

The tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30° angle with the horizontal, find the length of the wire?

Find the average of square of first 5 consecutive natural numbers.

Answer these questions based on the following informations There are Twelve points on a plane, out of which four are collinear points Find the maximum number of quadrilaterals formed by joining the twelve points.

Answer these questions based on the following informations There are Twelve points on a plane, out of which four are collinear points Find the maximum number of hexagons formed by joining the twelve points.

The numbers 1, 3, 5,7, . 99 and 128 aremultiplied together. The number of zeros at the end of the product must beNil(b) 7 (c) 19 (d) 22

Sarvesh wants to prepare a bouquet with roses, lilies, orchids and carnations, so he walked inyo a large garden of flowers. In how many ways can he prepare a bouquet of 15 flowers such that he selects at least 1 rose, 2 lilies, 3 orchids and 4 carnations for his bouquet?

A car travels from P to Q at a constant speed. If its speed were increased by 10 km/h, it would have taken one hour less to cover the distance. It would have taken further 45 min lesser if the speed were further increased by 10 km/h. What is the distance between two cities?

When a number is divided by 361 feaves remainder 47 . Ifsame number is divided by 19. find remainder .

Rs 19400 is divided into two parts. First part is lent out at 8% per annum for 5 years and the other part is lent out at 4% per annum for9 years. If the ratio of simple interest received on two part is 3:7 . Find the amount of second part.

The radius of the base of a right cone is 35 cm and its height is 84 cm. Find : total surface area