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Showing posts with label elitmus. Show all posts

Showing posts with label elitmus. Show all posts

A can build a wall in 30 days. B can demolish that wall in 60 days. If A and B work on alternate days, when will the wall be completed?

a) 180 days b) 90 days c) 120 days d) 60 days

Answer is : C

Solution :

Given :-
1. A build in => 30 days
2. B demolish in => 60 days

What To Find:-
How much time will it take to build the wall if A and B work in Alternative days?

Procedure :-
1. in 1 day A can build = 1/30 th part
2. in 1 day B can be fill = -1/60 th part

So,
for first 2 days A and B can build = 1/30 - 1/60 = 1/60
=> In 2 minutes A+B+C can be build = 1/60th Part.
=> Time taken to build 1/60 part = 2 days
=> Time taken to build full part = 2 * 60 days = 120 days.

(Note :- in Problem it is clear that first

A will work for 1 day and then

B will work for 1 day

and again A and B and so on......

So for first 2 days A and B will work each for one day)

Pipes A and B can fill a cistern in 20 min and 30 min and C can empty it in 15 min. If the three are kept open successively for 1 min each in the order how soon will the cistern be filled?

a) 180min b) 90min c) 120 min d) 60 min

Answer is : A

Solution :

Given :-
1. A fills in                 => 20 min
2. B fills in       => 30 min
3. C can empty in      => 15 min

What To Find:-
How much time will it take to fill the cistern if we use each for one minute in order one by one?

Procedure :-
1. in 1 minute A can be fill = 1/20th part
2. in 1 minute B can be fill = 1/30th part
3. in 1 minute C can be fill = -1/15th part

So,
for first 3 minutes A, B and C can fill = 1/20 + 1/30 - 1/15 = 1/60
=> In 3 minutes A+B+C can be fill   = 1/60th Part.
=> Time taken to fill 1/60 part       = 3 min
=> Time taken to fill full part       = 3 * 60 min = 180 minutes.

(Note :- in Problem it is clear that first

A will be opened for 1 min and then

B opened for 1 minute and then

C opened for 1 minute

and again A,B and then C and so on......

So for first 3 minutes A, B and C will be Opened each for one minute)

How many 3 digit numbers sum will have sum 18?

a) 51 b) 54 c) 61 d) 64

Answer is : B

Solution :

Given :-
1. Number is 3 digitnumber.
2. Sum should be 18.

What To Find:-
How many such numbers exist?

Procedure :-
Numbers starts with 1 ð 198, 189.................................= 2 numbers
Numbers starts with 2 ð 297, 279, 288..........................= 3 numbers
Numbers starts with 3 ð 396, 387, 378, 369...................= 4 numbers
Numbers starts with 4 ð 495, 486, 477. 468, 459............= 5 numbers
Numbers starts with 5 ð 594, 585, 576. 567, 558, 549.....= 6 numbers
similaly....
Numbers starts with 6 ð 7 numbers

Numbers starts with 7 ð 8 numbers

Numbers starts with 8 ð 9 numbers

Numbers starts with 9 ð 10 numbers

Total Numbers are ð 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 54

A, B, C are in GP and M,N,O are in AP, then (O-N)log A + (M-O)log B + (N-M)log C is equal to ?

Options :

A) (O-N)log ABC

B) 0

C) 1

D) none

Answer is : B

Solution :

Given :-
1. A, B, C are in GP. So B² = A C
2. M,N,O are in AP. So
=> O-N = N-M = x (assume),
then => (O–M) = 2(O–N) = 2x.

What To Find:-
value of (O-N)log A + (M-O)log B + (N-M)log C

Procedure :-
Remind that (O-M) = 2x,so (M-O) = -2x
Now, find value
(O-N)log A + (M-O)log B + (N-M)log C

=> X log A - 2X log B + X log C

=> X (log A - 2 log B + log C)

=> X (log A - log B² + log C)

=> X(log AC – log B²)

=> X(log B² – log B²)

=> X(0)

=> 0.

Compute the number of distinct ways in which 56 toffees can be distributed to 5 persons A,B,C,D and E so that no person receives less than 10 toffees(toffee can not be devided)?

Options : A) 210 B) 240 C) 180 D) 230

Answer is : A

Solution :

Given :-
1. 56 toffees are there
2. 5 members are there
3. no person receives less than 10 toffees

What To Find:-

No. of distinct ways to distribute.

Procedure :-
1. No person recieves less than 10 toffees.
So distribute 10 toffees to five members.
2. Remaining toffees are 6.
3. These 6 toffees we have got to share for 5 persons.

Formula :- If we share n elements to r members
then number of distinct distributions are : (n+r-1)C(r-1).

4. If we share 6 elements to 5 members.
number of distinct distributions are
(6+5-1)C(5-1) = 10C4 = 210

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How many 3 digit numbers are there in which product of their digit is 36. Ex: 236, in this.. product of digit is 36?

Options : A) 32 B) 36 C) 21 D) 15

Answer is : C

Solution :

Given :-
1. Each number is 3 digit number
2. Product Of digits is 36

What To Find:-
How many such numbers are there.

Procedure :-
1. Factors of 36 are :
1 X 36
2 X 18
3 X 12
4 X 9
6 X 6
2. Sub Factors are :

1 X 36 ---> 1 X (1 X 36) --> Not 3 digit number
---> 1 X (2 X 18) --> Not 3 digit number
---> 1 X (3 X 12) --> Not 3 digit number
---> 1 X (4 X 9) --> 3 digit number

2 X 18 ---> 2 X (1 X 18) --> Not 3 digit number
---> 2 X (2 X 9) --> 3 digit number
---> 2 X (3 X 6) --> 3 digit number

3 X 12 ---> 3 X (1 X 12) --> Not 3 digit number
---> 3 X (2 X 6) --> 3 digit number
---> 3 X (3 X 4) --> 3 digit number

4 X 9 ---> 4 X 9 X 1 --> 3 digit number
---> 4 X (3 X 3) --> 3 digit number
---> (2 X 2) X 9 --> 3 digit number
6 X 6 ---> 6 X (6 X 1) --> 3 digit number
---> 6 X (2 X 3) --> 3 digit number

4. Total 3 digit numbers we got from above list are :

149, 194, 491, 491, 914, 941 --- 6
229, 292, 922, --- 3
236, 263, 632, 623. 326, 362 --- 6
334, 343, 433 --- 3
661, 616, 166 --- 3
---------------------------------------------
Total Numbers are : --- 21
---------------------------------------------

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32400 students login everyday to elitmus website. And stay on the website for 9 minutes. If the access for website is only 18 hours in a day, how many students can be found online at any point of time?

Options : A) 324 B) 300 C) 270 D) 200

Answer is : C

Solution :

Given :-
1. 32400 students login everyday
2. every student stays for 9 minutes.
3. accessible times is 18 hours

What To Find:-
Total Students can be found at any sec ?

Procedure :-
1, accessible time is 18 hours = 18 * 60 minutes
2. how many 9 minutes exist in 18 hours = 18 * 60 / 9 = 120 (say this is period)
3. So total students have to access the site in one of these 120 periods.
4. at any point total students can be found = 32400 / 120 = 270.

So.... Simple...... :-)

A and B started from the same point on a circular track. The ratio of their speed is n:1 (n is a whole number). If 5th and 17th time they meet at the same point, what can not be the value of n?

Options : A) 2 b) 3 c) 4 d) 6

Answer is : D

Solution :

If speed of two bodies moving in same direction in circular path are in the simplest ratio of a:b, then no. of pts they will meet = |a-b|
Let circumference of circle be 'L'.
Time for 1st meeting at any of the |a-b| pts = L/(a-b).
Time for 1st meeting at Starting Pt = LCM of (L/a, L/b).
Time for nth meeting at Starting Pt = n*LCM of (L/a, L/b).

Checking with the options :-
1 . Check Option A :
When n = 2 :
a=2,b=1.
No:of meeting pts = (2-1)=1pt.
Only meeting pt is L.
Time for first meeting = L/1.
Time for first meeting at starting pt = LCM of (L/2, L/1) = L.
Time for 5th meeting = 5L.
Time for 17th meeting = 17L.

Both tyms, they meet at pt L.
So, n=2 is valid.

Check Option B :

When n = 3 :
a=3,b=1.
No:of meeting pts = (3-1)=2pts.
Meeting pts are : L/2, L .
Time for first meeting = L/2.
Time for first meeting at starting pt = LCM of (L/3, L/1) = L.
Time for 5th meeting = 5*L/2.
Time for 17th meeting = 17*L/2.

Both tyms, they meet at pt L/2.
So, n=3 is valid.

Check Option C :

When n = 4 :
a=4,b=1.
No.of meeting pts = (4-1)=3pts.
Meeting pts are : L/3, L/2, L .
Time for first meeting = L/3.
Time for first meeting at starting pt = LCM of (L/4, L/1) = L.
Time for 5th meeting = 5*L/3.
Time for 17th meeting = 17*L/3.

Both times, they meet at pt L/3.
So, n=4 is valid.

Check Option D :

When n = 6 :
a=6, b=1.
No:of meeting pts = (6-1)=5pts.
Meeting pts are : L/5, L/4, L/3, L/2, L .
Time for first meeting = L/5.
Time for first meeting at starting pt = LCM of (L/5, L/1) = L.
Time for 5th meeting = 5*L/5 = L.
Time for 17th meeting = 17*L/5.

Both tyms, they meet at different pts namely L and L/5.

So, n=6 is not valid.

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191. A cow standing on a bridge, 5 m away from the center of the bridge.a train was coming towards the bridge from the end nearest to the cow, seeing this the cow run towards the train and manage to escape when the train was 2m away from the end of the bridge if it had run in the opposite direction it would have been hit by the train 2 m before the end of the bridge. What is the length of the bridge (in m) if speed of train is 4 times the speed of cow ??

192. Compute the number of distinct way in which 56 toffees can be distributed to 5person a,b,c,d and e so that no person receives less than 10 toffees(toffee can not be devided)??

193. How many solutions exist for (x+5)^1/3=x((x+5)^1/3)
option
a) 1 b) 2 c) 3 d) 4

194. Log a,log b,log c are in gp and m,n,o are in ap ,then (o-n)log a+(o-m)log b +(n-m)log is equal to ?
A) (o-n)log abc b) 0 c) 1

195. The method of selecting a member is to make stand all member in a straight line and are alotted roll no from right so person at right most is 1 and last is 513 if ther are 513 members so now one will start from right and will remove all alternate like 2,4 will be eliminated than when it reaches otherside will do same to right ie 512 514 will remove okk alternately so if person have to b elected where will person should stand

196. A 3 digit no in form a+4b+c is divisible by 42 then the no is neccessary divisible by a-9,b-2,c-6 d-none of these

197. How many 3 digit no sum will have sum 18
a) 51 b) 54 c) 61 d) 64

198. How many values of c in the equation x^3-5x+c result in rational roots which are integers?
a)1 b)3 c)0 d)infinite

199. What is the minimum number of distinct lines representing the altitudes,medians,and interior angles bisector of an obtuse triangle?

200.Number of numbers which have prime number of factorials in between 1 to 100 (hint no. Of prime no. = 25) ?

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171. A reduction in 25% in the price of eggs will enable one to buy 4 dozen more eggs for rs 96. What is the price per dozen?

172. Ax^2+bx+c = 0 has two roots x1 and x2. If mode x1 = mode x2, then
(a) a>c (b) b>c (c) c>a (d) none

173. 1,2,1,2,2,1,2,2,2,1,2,2,2,2... Then sum of 1230 terms...?

174. 1 2 1 2 2 1 2 2 2 1 2 2 2 2 1 2 ...... Sum of the series upto 1230 terms ?

175. A dishonest dealer sells as a weight of 800gm in place of 1 kg and adds 20% impurities in sugar. What would be his profit % if he claims to be selling at cost price?

176. A borrowed rs 800@ 6% and b borrowed rs 600@ 10%.after how much time will they both have equal debts?

177. A sum of money doubles itself at compound interest in 15 yrs. In how many years it will become eight times?

178. A garden has only red,green and white flowers. 60% of the flowers have red colours,30% have green colours and 50% have white colours. If no glowers has all the three colours , what percentage of the flowers have only 1 colours?

179. 2/3=0.6666. Then find all combinations of a and b. Such that 0, 39x - 13y =1, then find out all combinations of x and y for x<1000.

180. A right triangle have sides a,b and hypotenuse h. A square inscribed in triangle having sides on a, b and touches h. Find length of side of square in terms of a ,b.?

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181. From digit 0-9, how many no. Can be made such that two adjacent digits are same. Like-119,911.....

182. find the value of log22002 + log32002 + log42002 + log52002 - log102002 - log112002 - log122002 - log132002 - log142002
a) 0 b) 1 c) -1 d) 2002log2002

183. A number 'z' contains all the digits from 1 to 9 exactly once. Z is divisible by 99. What will b the number on its hundredth place.
a) 1 b) 2 c) 3 d) 4

184. puzzle of arvind and 5 ministers? How may combinations were possible and what were the other answers?

185. A(n)= 1/(log base n value 2002)
what is the value of a(2)+a(3)+a(4)+a(5)-a(10)-a(11)-a(12)-a(13)-a(14)

186. From a container having pure milk ,20% is replaced by water and the process is repeated thrice. At the end of the third operation , the milk is
a) 40% pure b) 50% pure c) 51.2% pure d) none

187. If the distance between two station is 6000 km and there are 10 stops between them train takes i^2 mints if i is odd and train takes i mints if i is even and the speed of train is 90km/hr
then how much tme it will take ?

188. Ram and shaym have a cube each. Ram paints 4 faces of cube red and rest with blue colour. Ram asked shyam to paint his cube with red and blue colour.they now started rolling it.after long observation ram found that the probability of getting same colour in both the cube is 1/3. How many faces of his cube did shyam painted red.
a) 0 b)2 c)3 d)4

189. A train 300 m log overtook a man walking along the line (in the same direction of the train) at the speed of 5km/hr and passed him in 30 sec. The train reached the station in 15 min it hass passed the man . In what time man reach the station....?

190. How many positive integers n are there such that the least common multiple of n and 1000 is 1000?

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151. Milkha singh and tomar was running for a marathon....frm ramnagar to jamnagar...there are two cities between ramnagar and jamnagar ramgarh and rampur and distance between these two cities are 15 km..if milkha singh ran ramnagar to ramgarh in 90 mnts with speed 40km/hr and vkm/hr(v is whole number) speed from ramgarh to rampur in 30 mnts....as tomar is professanalist so he maintain constain speed during the marathon....and they both reached at n hour find out the value of n..
1. 5 2. 15 3. 41 4. all of above

152. Here are some student standing in circular way like 1,2,3,4,........ The 11 was standing before 40.....if there are 10 girls more than the boys find out how many boys standing against the girl....
1. 21 2. 24 3. 4.

153. If apple is coded as 118 so monkey is coded as?

154. Two trains a and b seperated by a distance of 1200m approach each other at 30m/min.a bird flying at 60 m/min flies from train a to b, returns to a flies back to b and so on till the trains meet.
a. What is the total distance travelled by the bird?
b. How many trips between the train does the bird make in all?

155. What is the difference between first "highest ever decreasing" number and second.where highest ever decreasing number are like 987,75321,954 etc?
a) 1 b) 99 c)9 d) cant be determined

156. A lump of two metals weighing 18 gm is worth rs 74 but if their weights be interchanged it would be worth rs 60.10p. If the price of one metal be rs 7.20 per gram, find the weight of the other metal in the mixture?

157. There are two vessels one containing 12 litres of water, other 6 litres of wine. If a litre be taken out of each and poured into the other, and if this be repeated four times, find how much wine will be in contained one?

158. How many values of c in the equation
x^2-5x+c=0, results in rational roots which are integer?
A) 1 B) 3 C) 0 D) infinite

159. Find the no. Of ways u can fill 3*3 grid (with 4 corners a,b,c,d) if u have 3 white marbles and 6 black marbles?

160. Two regular polygons have the number of their sides in the ratio 2:1 and their interior angle in the ratio 5:4. The number of sides of the two polygons are?

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161. Square a is formed with the diagonal of square b as its sides and square b has the diagonal of square c as its side? Find the ratio of the area of square c to square a?

162. The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is rs 5000?

163. Assume that the distance that a car runs on 1 litre of petrol varies inversely as the square of the speed at which it is given. It gives a run of 25 km per litre at a speed of 36 km ph.at wat speed should it be driven to get a run of 36 km per litre?

164. A covers a circular track in 15 mins while b does so in 25mins. In how much time will a and b together again? They start running in the same direction from the same point?

165. 'P' is a 3 digit number. First digit from the left is a square of the last digit. None of the digit is repeated in 'p'. How many number of primesubdents are possible. (primesubdent is a number that can not be divided by 2,3,5)
a)6 b) c) d)72

166. A can contains a mixture of two liquids a and b in proportion 7:5. When 9 litres of mixture was drawn off and the can was filled with b, the proportion of a and b becomes 1:2. How many litres of mixture was contained by the can initially?

167. Y=(x^4)+4
where x is a 4 digit number. What is the probability that y is divided by 5
a)1/5 b)2/5 c)4/5 d)1

168. A dealer sells an article at a profit of 1/4 of the cost. Had he sold at a profit of 1/4 of the selling price, he would have gained rs 50 more. The cost of the article is ?

169. A grain merchant purchased 2 varieties of rice, the price of the first kind being twice that of the second. He sells the mixture for rs 28 per kg making a profit of 25%. If the ratio of the first to the second is 2:3 in the mixture, then the variety coated is?

170. I have done 4 out of 6 right in quant and 3 out of 4 in reasoning,11-12 out of 14 in verbal.how much percentile could i score

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131. A and b worked on a job for 4 hrs and finished half of it. A worked thrice as fast as b did. If b then left a and was joined by c and they finished the job in 1 hour , how long it would have taken for c to do the whole job alone?

132. Pipes a and b can fill a cistern in 20 min and 30 min and c can empty it in 15 min. If the three are kept open successively for 1 min each in the order how soon will the cistern be filled?

133. A and b can fill a cistern in 15/2 min and 5 min and c can carry of 14 litres per minute. If all pipes are open when it is full , it is emptied in 1 hours. How many litres can it hold?

134. In what time would a cistern be filled by three pipes whose diameter are 1 cm , 4/3cm, 2 cm running together.. When the largest alone will fill it in 61 minutes; the amount of water flowing in by each pipe being proportional to the square of its diameter?

135. Three men can do as much work as 5 boys and the wages of 3 boys are equal to those of 2 men. A work on which 40 boys and 15 men are employed takes 8 weeks and costs rs 15750. How long would it take if 20 boys and 20 men were employed , and how much would it costs?

136. A,B and C can do a piece of work in 12,18, and 24 days respectively. They work at it together . A stops the work after 4 days and B is called off 2 days before the work is done.in what time was the work finished?

137. If a can do as much work in 4 hours as b can do in 6 hours, or as c can do in 8 hours how long will it take c to complete a piece of work , one third of which has been done by a working 8 hours and b working 18 hours?

138. If a can do as much work in 4 hours as b can do in 8 hours, how long will it take c to complete a piece of work , one third of which has been done by a working 8 hours and b working 18 hours?

139. C does half as much in a day as a and b can do together, and b does half as much again as a. If all there working together can mow 20 hectares of barely in 16 days, how long would each , working by himself take to mow 5 hectares?

140. If 15 men or 24 women or 36 boys can do a piece of work in 12 days working 8 hours a day , how many men must be associated with 12 women and 6 boys to do another piece of work 9/4 times as great in 30 days working 6 hrs/ day?

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141. A can build a wall in 30 days. B can demolish that wall in 60 days. If a and b work on alternate days, when will the wall be completed?

142. 4 pipes can fill a reservoir in 20,30,40 and 60 hrs respectively. The first was opened at 6 am , second at 7 am, third at 8 am and fourth at 9 am. When will the reservoir be filled up?

143. To do a piece of work , b takes 3 times as long as a and c together and c takes twice as long as a and b together. If three together can complete the work in 10 days, how long would a take by himself?

144. A can do as much work as c in 2 days and c does in 3 days as much work as b in 4 days. What time b would require to do a work which a can do in 16 weeks?

145. A gang of labourers do a piece of work in 10 days, but five of them became absent and so the rest do the work in 12 days.find the original numbers in the gang?

146. Three persons a,b and c rent the grazing of the park for rs 570. A put 126 oxen in the park for 3 months, b puts in 162 oxen in the park for 5 months and c puts in 216 oxen in the park for 4 months. What part of rent should b pay?

147. A contractor undertook to complete a piece of work in 120 days and employed 140 men upon it. At the end of 66 days only half of the work was done,so he put on 25 extra men. By how much time did he exceed the specific time?

148. Did anyone remember the question of data sufficiency ,,question was like that q) what is value of x^3+y^3 1)(x+y)^3 given that (x+y)=4 2) dont remember the statemnt given (x+y)=4 xy=2..

149. G(n)= 2 *sum of first n digit no+41 then wîch is the smallest non prime no. A)n=6 b)n=7 c)n=40 d) g(n) is always prime no.

150. Find out the total numbers from 9 to 1000 as the where first digit is lower than the next like (12....not like 21)
1.120 2.219 3.255 4.

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101. How many six digits numbers can be formed using the digits 1to 6, without repetition. Such that the number is divisible by the digits at its unit place ?

102. For rs 600 mr karan can by max 24 teacups and for rs 1000 he can by max 15 coffecups. He has 2200 in his pocket and buy 8 teacups. What is the max no of cup of coffe mr karan can buy with his remaining money?

103. Two teams of football,iit and iim are playing against each other. The match was held in 4 quarters. Iit has scored goals in increasing gp in each quarter,whereas iim has scored in increasing ap in each quarter..no teams have a total of more than 100 goals,and iim has scored 1 goal extra than iit. So how much goals they together scored in first half?

104. 1/a+1/b+1/c=1/(a+b+c) find (a+b)(b+c)(c+a) ?

105. What is the remainder when expression /
2^2+22^2+222^2+2222^2+....+22222...48 times^2 divided by 9.

106. What will remainder when 128^1000 is divided by 153..?

107. A basketball is dropped from a height of 40 feet.it bounces back each time to a height which is one half of the height of the last bounce.how far approximatesly will the ball have to be travelled before it comes to rest?
a)80ft. B)120 ft c)180 ft d)cannot b determined

108. A sum becomes rs 13380 after 3 years and rs 20070 after 6 years on compound interest. The sum is ?

109. X=w^2+1 such that 121 < x < 1331 (11^3=1331).what cannot be the remainder when x is divided by 11 provided x is not a prime number ?
a) 2 b)4 c) 6 d) 8

110. K1= -19 k2= -139/3 such that kj=kj-1 – kj-2 . J is in sub script. Find the 602nd term of such a sequence ?

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111. Total number of numbers which are neither square or cube of a number less than 1000.

112. Find the total no of 3 digits number such that if one of the digit is 3 then it must be followed by 7.

113. Dhaniram lights a agarbatti each morning and stops it at 1/3rd of its length. After how much days he will be left with 10% of the original height of agarbatti.
a) 2 b) 3 c) 4 d) cannot be determined

114. Three dices rolled . What is the probability of getting atleast one six.
a) 1/6*5/6*5/6 b) 3*1/6*5/6*5/6 c) 5/6*5/6*5/6 d) none

115. A maximum number of 3 digit such that when expressedin base 2 or base 3 or base 7 has 1 as the rightmost(last) digit. If a,b,c are the first digits(leftmost) of the base 2, base 3 and base 7 representation of that number. Then sum of a,b,c

116. A number n has some divisor such that 2n has 48 divisors and 3n=30 divisors. Find n. N is a non negative number.

117. Two trains starts to run with a speed of 5kmph and 7kmph from two stations a & b respectively towards each other. Both the trains reverse its direction after reaching either of the station. The distance between the two stations is 27km.if they both starts to run at 06:00am, at what time they will meet exactly in between the two stations for the second time?

118. A square abcd shares 25% of its area with a rectangle aefg, such that ae>ab and a, b, e are collinear. Also, rectangle aefg shares 50% of its area with the square abcd. Find ae/ag.

119. How many six digits nos. Can be formed using digits 1 to 6 such that no. Is always divisible by digit at its unit place??

120. A natural no. Has exactly 10 divisors including 1 and itself. How many distinct prime factors can this natural no. Have?
a) either 1 or 2 b) either 1 or 3 c) either 2 or 3 d) either 1,2 or 3

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121. 6 bangles eachof 4 cm in diameter,what is their minimum diameter of the plate required so that each of bangles are kept without overlapping(bangles touching each other)?

122. There is a triangle with angles x, y and z such that x>y>z. Find |xmax-ymax|?
A) 2 b)20 c)88 d)40

123. A horse-carter has two wheels,front-wheel and backwheel...and their circumference r in the ratio x:y. Front-wheel take t rotations in one min and back-wheel takes t+x rotation in one minute.t,x,y r integers >0..so find the second least value of y...when y>x?

124. Z=260*1024+73*512+128*129+81+9 (z in decimal system).
Now y be the octal representation of z in number system.how many time will the digit 3 be in y
options = >2/3/4/5

125. A quadrilateral pqrs circumscribes a circle with center o and pq||rs and pq thrice of rs.length of qr,sp are equal but not parallel.perimeter of quadrilateral iss 24...then area of quadrilateral=?

126. 2 circles intersect each other at 2 points p and q .smaller circle has radius 1 cm.if arc extended by smaller circle is 90 degree and that of the larger circle in 60 degree at their corresponding centres.find out the common area of the circles??

127. Isro has devised a new digital wrist watch for abhishek, who will be the first human being to spend 3 mars years on planet mars. The watch divides one mars day into 40 hours, each hour into 60minutes and each minute into 60 seconds. Abhishek has the habit of glancing at his watch frequently throughout the day (and night). What is the probability that he will see all the digits reading the same (for example, 1 : 11 ) during any single glance? Assume the watch is set to a 20 hour format hh:mm, where four past four pm is shown as 4:04
(a) 1/120 (b) 1/200 (c) 1/240 (d)1/120000

128. 200 students are waiting to enter the auditorium where belhi university is conducting its annual convocation. Each student has been assigned a seat number (from 1 to 200) and has been requested to seat in their respective seats only. Each student is allowed to enter the auditorium in the order of their seat numbers. Amitabh the rebel, who holds the token for seat #1 always believes in breaking the rules. He will ignore the instructions and randomly occupy a seat. All of the other students are quite obedient, and will go to their proper seat unless it is already occupied. If it is occupied, they will then find a free seat to sit in, at random. What is the probability that the last (200th) student to enter the auditorium will seat in his proper seat (#200)?
(a)1/200 (b)1/100 (c)1/10 (d) 1/2

129. What is the maximum value ofa right circular cone, which can be cut from a solid cuboid having dimensions 12x10x15?
A)100π b)120π c)125π d)225π

130. A leaky cistern is filled in 5 hours with 30 pairs of 12 litres each, but in 3 hours with 20 pails of 16 litres each, the pails being poured in at intervals. Find how much the cistern hold?

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81. X men take x/2 hours and doing x/8 unit of work in x/4 days. So y men in y hour how much day will take to do the work like x??

82. W*3^3 + x*3^2 + y.3 + z = 117
what are the possible solution are there??

83. 1/a + 1/b = 1/c all are positive integer and a is a prime number greater than 2 then how many possible combination of (a,b)??
A)0 b)1 c)2 d)4

84. P is a four digit prime number when divided by 12 what will be the remainder??
A) only 6 b)only 4 c)4 & 6

85. 56 toffees have to divided into a, b, c, d, e so that each one gets minimum of 10 toffees. Find the number of ways?

86. An employee may claim rs.7 for each km when he travels by taxi and rs.6 for each km when he drives his own car. If in one week he claimed rs. 595 for travelling km. How many kms did he travels by taxi?
A.55 b.65 c.62 d.70

87. Find the reminder when 50^51^52 is divided with 11

88. Remainder when 33^34^35 divided by 11

89.Remainder when 30^72^87 divided by 11

90.How many 6 digit no can be formed by 0,1,2,3,4,5 so that no is divisible by unit place digit ?

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91. How many numbers from 0 to 351 are not divisible by 2,3,5 & 7 ?

92. A train can cross a bridge of length 650 m in 10 seconds and a bridge of length 450m in 8 seconds. Find the average speed of the train ?

93. Remainder when 50^56^52 divided by 11 ?

94. A container full of milk,e liter of milk is taken out from the container and is replaced it by water.
This process is repeated again so that the milk to water ratio became 14:16,then what is the size of container ?

(properly not able to remind whether it was 14:16 or 16:14,but question was like this)

95. How many four digit can be formed using 2,3,4,5,6,7 only once divisible by 25 ?
a 12 b 20 c 24 d 40

96. A circle a is of arc length at 45°, is same arc length at 30° of another circle b.then what is the area of circle a to circle b ?

97. How many four digit number can be formed using 2,3,5,6,7 and 8
which is divisible by 25 ?

98. There are 5 different boxes named a,b,c,d,e. There are two balls red and green.a box is to be filled with one ball either red or blue. What is the probability that no two blue balls are adjacent to each other?

99. How many 4 digit no can be made from 2,3,4,5,6,7 that divide by 25 ?

100. A,b,c,d are conscutive odd no. Then a^2|b^2|c^2|d^2 is divisible by....

A)5 b)7 c)3 d)4

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