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51 / 650
a farmer has a rose garden. Every day he either plucks 7 or 6 or 24 or 23 roses. The rose plant are intelligent and when the farmer plucks these no. of roses, the next day 37 or 36 or 9 or 18 new roses bloom up in the garden respectively. On Monday he counts 189 roses, he plucks the roses as per his plan on consecutive days and new roses bloom up as per the intelligence of the plants mentioned above. After some days which of the following can be the number of roses in the garden?
A4
B37
C14
D30
Answer: Option A
Explanation:lets assume the case of 23.
when he picks up 23 roses the next day there will be 18 new,
so, in this case., 5 flowers will be less every day.
=> when he counts 189, the next day 184, 179,174,169,................so on.
finally the no. of roses left behind will be 4.
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52 / 650
2 hours after a freight train leaves Delhi, a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train.What was the average speed of the freight train ?
A20.76km/hr
B10km/hr
C10.67km/hr
DNone of these
Answer: Option C
Explanation:Distance travelled by Passenger train=16*4=64km
so,time taken by freight train=4+2=6hr
then, avg speed of freight train=64/6=10.67km/hr
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53 / 650
Car A leaves city C at 5pm and is driven at a speed of 40 kmph. Two hours later another car leaves city C and is driven in same direction as car A. In how much time car B be 9 km ahead of car A if the speed of car B is 60 kmph.
A4 hr
B4 hr 10min
C4 hr 37min
D4 hr 27min
Answer: Option D
Explanation:Given, car A speed = 40 kmph,
car B speed 60 kmph
Relative speed=(60-40)=20 kmph(as both are in same direction)
when car B started A has already covered distance = 40*2=80m
Time required for both car to be at same position = 80/20 = 4 hr
Additional distance = 9 km
Time required to cover this distance = (9/20)*60=27 min
Therefore, required time = 4hrs 27 min
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54 / 650
In a mixture of a, b, & c, if a and b are mixed in 3:5 ratio and b and c are mixed in 8:5 Ratio and if the final mixture is 35 liters, find the amount of b?
A15.73
B23.5
C15.37
D15.66
Answer: Option A
Explanation:The ratio is A:B:C =24:40:25
So, B=35*40/89=15.73
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55 / 650
Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?
A24 days.
B48 days.
C36 days.
D27 days.
Answer: Option B
Explanation:As Jake , Paul and Hari can dig the well in 8 days,
Jack one day work = 1/16
Paul one day work = 1/24
Given, (Jake,Paul and hari) 1 day work = 1/8
So, 1/16 + 1/24 + 1/x = 1/8
=> 1/x=1/48
Therefore, Paul can finished work in 48 days.
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56 / 650
There are two bottles A and B, each filled with milk and water in the ratio 5:3 and 1:2 respectively. A new mixture is formed by mixing the contents of A and B in the ratio 4:3.What is the ratio of composition of milk and water in the new mixture?
A1:3
B1:2
C1:1
D3:2
Answer: Option C
Explanation:Bottle A mixture: milk = 5/8 & water=3/8
Bottle B mixture: milk = 1/3 & water=2/3
Given New mixture (Bottle A & B) ratio = 4:3
Now milk ratio = (5/8*4/7) + (1/3*3/7) = 1/2
and water = (3/8*4/7) + (2/3*3/7) = 1/2
So, New mixture ration milk : water = 1 : 1
5+1:3+2=6:5
6-4:5-3=2:2
answer=1:1
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57 / 650
Find the sum of number between 200 and 300, which is multiple of 3?
A8217
B8317
C8127
D8172
Answer: Option A
Explanation:Sequence: 201 + 204 + 207 + ...............+ 297
So n=33,a=201,l=297
So, s=n/2[a+l] = 33/2(201 + 297) = 33/2 * 498 =8217
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58 / 650
Arun makes a popular brand of ice cream in a rectangular shaped bar 6cm long, 5cm wide and 2cm thick. To cut costs, the company had decided to reduce the volume of the bar by 19%. The thickness will remain same, but the length and width will be decreased by some percentage. The new width will be,
A5.5 cm.
B4.5 cm.
C7.5 cm.
D6.5 c.m.
Answer: Option B
Explanation:volume=l*b*h=6*5*2=60cm^3
now volume is reduced by 19%.therefore 81/100 *60=48.6
now,thickness remains same and let length and breadth be reduced by x%
so,new volume: 2*x/100 *6*x/100 *5=48.6
=>x=90 thus length and width is reduced by 90%
new width =90% of 5 =4.5
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59 / 650
When all words in "MASTER" is sorted in alphabetical order then what is the 49th word ?
AA R E M S T
BA E R M S T
CA M E R S T
DNone of these
Answer: Option A
Explanation:Arranged alphabet: A E M R S T
word start with A: A _ _ _ _ _ =120
so,word start with A
next, A E _ _ _ _=24
next, A M _ _ _ _=24
total word is 48
so.word at 49 rank is A R E M S T.
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60 / 650
How many integers in the given below set do not contain the digit 7. 1000,1001,1002,-------------------------.9998,9999
A5832
B2888
C1444
D6746
Answer: Option A
Explanation:Total number of four digit numbers =9000 (9999 - 999)
Find the numbers not having digit 7 in them.
Now consider the units place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)
Tens place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)
Hundreds place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)
Thousands place can be selected in 8 ways (i.e 1,2,3,4,5,6,8,9) here '0' cannot be taken
Total number of numbers not having digit 7 in it =9 x 9 x 9 x 8 =5832
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