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91 / 164
Let p and q be two prime numbers such that p is greater than q. If 319 is their LCM then the difference of thrice of q and p is:
A1
B0
C4
D9
Answer: Option C
Explanation:Here is no explanation for this answer
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92 / 164
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A10/21
B11/21
C2/7
D5/7
Answer: Option A
Explanation:Here is no explanation for this answer
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93 / 164
Nirmal and Kapil started a business investing Rs. 9000 and Rs. 12000 respectively. After 6 months, Kapil withdrew half of his investment. If after a year, the total profit was Rs. 4600, what was Kapil's share initially ?
ARs 2300
BRs 2400
CRs 2500
DRs 2200
Answer: Option A
Explanation:Nirmal:Kapil = 9000*12:(12000*6+6000*6) = 1:1
Kapils share = Rs. [4600 *(1/2)) = Rs. 2300
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94 / 164
A man owns 2/3 of the market research beauro business and sells 3/4 of his shares for Rs. 75000. What is the value of Business.
A15000
B140000
C150000
D100000
Answer: Option C
Explanation:3/4 of his share = 75000
so his share = 100000.
2/3 of business value = 100000
so total value = 150000
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95 / 164
A boat can row upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
A5 kmph
B10 kmph
C30 kmph
D15 kmph
Answer: Option A
Explanation:man's upstream speed = 25 kmph
Man's downstream speed = 35 kmph
so Speed of current = (35 - 25)/2 = 5 kmph
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96 / 164
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
A3 hrs 15 min
B3 hrs 45 min
C4 hrs 15 min
D4 hrs 10 min
ENone of these
Answer: Option B
Explanation:Time taken by one tap to fill half tank = 3hrs.
Part filled by the four taps in 1 hrs = (4*1/6) = 2/3.
Remaining part = (1-1/2) = 1/2.
so 2/3 : 1/2 :: 1:x => x = 1/2*1*3/2) = 3/4 hrs. => 45 min.
=> Total time taken = 3 hrs 45 min.
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97 / 164
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 min, then the slower alone will be able to fill the tank in:
A81 min
B108 min
C144 min
D192 min
Answer: Option C
Explanation:Lets assume time required by slower pipe alone to fill the tank = x minutes.
Then, faster pipe will fill it in x/3 minutes.
=> 1/x+3/x = 1/36
=>4/x = 1/36 => x = 144 min.
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98 / 164
A pump can fill a tank with water in 2 hours. Because of a leak, it took hours to fill the tank. The leak can drain all the water of the tank in:
A7 hours
B8 hours
C12 hours
D14 hours
Answer: Option D
Explanation:Work Done by the leak in 1 hrs = (1/2-3/7) = 1/14
so leak will empty the tank in 14 hrs.
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99 / 164
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
A27 m
B33 m
C27 7/9 m
D23 4/9 m
Answer: Option C
Explanation:As train are running in same direction
so Relative speed = (40 - 20) km/hr = 20 km/hr
= ( 20 x 5/18 ) m/sec = 50/9 m/sec.
Formula Used: Distance = Speed * Time
Now Length of Faster Train = ( 50/9 x 5 ) m = 250/9 m
= 27 7/9 m
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100 / 164
A 120 m long train is running at 72 Kmph. How much time will it take to cross a man standing on the platform?
A6 sec
B2.5 sec
C5 sec
D12 sec
Answer: Option A
Explanation:Formula Used: Time = ( Distance / Speed)
As all the option given in sec., so convert the train speed (Kmph) in to mps multiply by 5/18
speed (mps) = 72 * 5/18 = 20 mps
Time = (120 / 20) sec = 6 sec
Time take by Train = 6 Sec.
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