Two train each 500 m long, are
running in opposite directions on parallel tracks. If their speeds are
45 km/hr and 30 km/hr respectively, the time taken by the slower train
to pass the driver of the faster one is.
- 50 sec
- 58 sec
- 24 sec
- 22 sec
Ritu has 3 shirts in shades of
red, 4 in yellow shades and 5 in green shades . Three shirts are picked
at random . the probability that all of those are in red shades is
- 1/5
- 1/64
- 7/4
- 8/45
The probability that a student
passes Subject A, B or C is 98%. The probability that he or she passes A
is 41%, B is 59%. The probability that he or she passes A and C is 25%
and B and C is 20%. The probability that he or she passes all the 3
subjects is 14%. What is the probability that he or she passes subject
C?
- 23
- 65
- 29
- 80
Sangeeta invested rs.20,000 at
8 % per annual . if the interest is compounded half yearly , then total
interest earned by Sangeeta at the end of the year is:
- 343
- 487
- 1543
- 1632
Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan
takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
- 8 Hours
- 7 hours 30 minutes
- 8 hours 15 minutes
- 8 hours 25 minutes
Express 4.33333 in p/q form
- 14/10
- 13/3
- 13/1
- 18/9
The cost price of a Rs. 100 stock at 4 discount, when brokerage is 15% is
- Rs. 96.25
- Rs. 96.2
- Rs. 97.25
- Rs. 97.5
How many seconds will a 500
meter long train moving with a speed of 63 km/hr, take to cross a man
walking with a speed of 3 km/hr in the direction of the train ?
- 42
- 50
- 28
- 30
A man invests some money partly
in 12% stock at 105 and partly in 8% stock at 88. To obtain equal
dividends from both, he must invest the money in the ratio:
- 31 : 44
- 35 : 44
- 16 : 15
- 31 : 27
Which pair of rational numbers lie between 1/5 and 2/5
- 262/1000, 275/1000
- 362/1000, 562/1000
- 451/1000, 552/1000
- 121/1000,131/1000
The market value of a 10.5%
stock, in which an income of Rs. 756 is derived by investing Rs. 9000,
brokerage being 1⁄4 %, is:
- Rs. 124.75
- Rs. 108.25
- Rs. 125.25
- Rs. 112.20
What is the value of 100P2 ?
- 9801
- 12000
- 5600
- 9900
One pipe can fill a tank four
times as fast as another pipe. If together the two pipes can fill the
tank in 36 minutes, then the slower pipe alone will be able to fill the
tank in:
- 144 min
- 180 min
- 126 min
- 114 min
A leak in the bottom of a tank
can empty the full tank in 6 hours. An inlet pipe fills water at the
rate of 4 liters a minute. When the tank is full, the inlet is opened
and due to the leak, the tank is empty in 24 hours. How many liters does
the cistern hold?
- 4010 liter
- 2220 liter
- 1920 liter
- 2020 liter
A cistern can be filled by a
tap in 3 hours while it can be emptied by another tap in 8 hours. If
both the taps are opened simultaneously, then after how much time will
the cistern get filled
- 4.8 hr
- 2.4 hr
- 3.6 hr
- 1.8 hr
Two taps A and B can fill a
tank in 5 hours and 20 hours respectively. If both the taps are open
then due to a leakage, it took 40 minutes more to fill the tank. If the
tank is full, how long will it take for the leakage alone to empty the
tank?
- 22 hr
- 16 hr
- 28 hr
- 32 hr
Bucket P has thrice the
capacity as bucket Q. It takes 80 turns for bucket P to fill the empty
drum. How many turns it will take for both the buckets P and Q, having
each turn together to fill the empty drum?
- 30
- 45
- 60
- 80
How many 3-letter words with
or without meaning, can be formed out of the letters of the word,
'LOGARITHMS', if repetition of letters is not allowed?
- 720
- 420
- 5040
- None of these
In how many different ways can
the letters of the word 'DETAIL' be arranged such that the vowels must
occupy only the odd positions?
- 64
- 120
- 36
- None of these
In how many different ways can
the letters of the word 'LEADING' be arranged such that the vowels
should always come together?
- 720
- 420
- 122
- None of these
A coin is tossed 3 times. Find out the number of possible outcomes.
- 1
- 8
- 2
- None of these
A bag contains 2 white balls, 3
black balls and 4 red balls. In how many ways can 3 balls be drawn from
the bag, if at least one black ball is to be included in the draw?
- 64
- 128
- 32
- None of these
What is the HCF of 13, 23 and 14 ?
- 2/3
- 1/3
- 1/4
- 1/12
A train having a length of 1/4
mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles
long. How long does it take the train to pass through the tunnel from
the moment the front enters to the moment the rear emerges?
- 3 min
- 4.2 min
- 3.4 min
- 5.5 min
Two trains, one from P to Q
and the other from Q to P, start simultaneously. After they meet, the
trains reach their destinations after 9 hours and 16 hours respectively.
The ratio of their speeds is
- 2 : 3
- 2 :1
- 4 : 3
- 3 : 2
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