∆ ABC is a right angled triangle with angle B = 900, AB = 20 cm and BC = 21 cm. A circle with centre O is inscribed in ∆ ABC. OD, OE, OF are perpendiculars drawn on the sides AB, BC and CA respectively. Find the ratio of the area of the quadrilateral FOEC to the area of quadrilateral ADOF.
1. 15 : 14 2. 14 : 15 3. 12 : 11 4. 7 : 5
In how many ways we can arrange 7 different balls in 5 different boxes, with at least one ball per box?
Guys need help - Chapter 1 LOD-3 -- Questions 26 to 34... I'm able to solve some of them...And still confused about the approach of others... Also cant find proper solutions for the same...
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Bull Mock CAT
Two pipes, A and B, can fill a cistern in 18 minutes and 36 minutes respectively. Pipe C can empty it in 24 minutes. If each pipe is opened alternately for a minute, in the order A, B, C, in how much time will the cistern be full?
Bull Test Series question
A & B run in opposite direction from a point P on a circle with different but constant speeds. A runs in the clockwise direction. They meet for the first time at a distance of 900 m in the clockwise direction from P and for second time at a distance of 800 m in anticlockwise direction from P. If B is yet to complete 1 round, then the circumference of the circle is
1. 1700 m 2. 1250 m 3. 1300 m 4. 1200 m
Find the number of zeroes in 126!- 125! ?
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Avneet participates in a heptathlon event, where as part of one event he has to cycle a certain distance. At the halfway mark, his friend Akshay meets him on his scooter and Avneet tags his bike to the scooter to complete the race in 6 hours 30 minutes. If he had honestly continued to cycle then he would have taken 2 hours 10 minutes more to complete the race. How much time would he have taken to finish the race if he had met Akshay right at the start of the race?
Pipe A can fill a tank in an hour and pipe B can fill the same tank in 5/4th of an hour. Both the pipes are turned on for 15 minutes, when the tank was 5 % full. After 15 minutes the faster pipe was shut off. 15 more minutes later a drain pipe at the bottom was opened and it drained the tank in 15 minutes. How long does the drain pipe take to empty a full tank?
A, B, C and D start running from the same point simultaneously at 4 m/sec, 20 m/sec, 20 m/sec and 12 m/sec. While A, C and D run in clockwise direction, B runs in the anti-clockwise direction. At how many points on the circle, relative to the starting point, do they meet?
1. 1 2. 2 3. 4 4. Cannot be Determined
If A varies as C, and B varies as C, then which of the following is false:
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Ration and Proportion LOD 3. Q. 4:
Calculate the weight and %age of zinc in the zinc-copper alloy being given that the latter's alloy with 3kg of pure zinc contains 90% of zinc and with 2kg of 90% zinc alloy contains 84% of zinc
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Ration and Proportion LOD 3. Q. 12:
Three vessels having volumes in the ratio of 1:2:3 are full of a mixture of coke and soda. In the first vessel, ratio of coke and soda is 2:3, in second, 3:7 and in third 1:4. If the liquid in all three vessels were mixed in a bigger container, what is the resulting ratio of coke and soda?
Ration and Proportion LOD 3. Q. 14:
A toy weighing 24grams of an alloy of 2 metals is worth Rs. 174, but if the weights of metals in alloy be interchanged, the toy would be worth Rs. 162. If the price of one metal be Rs. 8 per gram, find the price of the other metal in the alloy used to make the toy.
Ration and Proportion LOD 3. Q. 22:
Sonu gets a jewellry made of an alloy of copper and silver. The alloy with a weight of 8 kg contains p per cent of copper. What piece of copper-silver alloy containing 40% of silver must be alloyed with the first piece in order to obtain a new alloy with minimum percentage of copper if the weight of the second piece is 2kg?
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Ratio and Proportion LOD 3. Q. 24
There are 2 qualities of milk - Amul and Suddha having different prices per litre, their volumes being 130 litres and 180 litres respectively. After equal amounts of milk was removed from both, the milk removed from Amul was added to Sudha and vice-versa. The resulting two types of milk now have the same price. Find the amount of milk drawn out from each type of milk.
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Ratio and Proportion LOD 3. Q. 25
Assume that the rate of consumption of coal by a locomotive varies as the square of the speed and is 1000 kg per hour when the speed is 60 km/hour. If the coal costs the railway company Rs 15 per 100kg and if the other expenses of the train be Rs 12 per hour, find a formula for the cost in paise per kilometre when the speed is S km/ hour
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2 kids, John and Jim, are running on an escalator (a moving stairway). John is running three times as fast as Jim, and by the time they are off the escalator, John has stepped on 75 stairs while Jim has stepped on 50 stairs. What is the ratio of the elevator's speed to Jim's speed ?
1. 1 : 1 2. 3 : 1 3. 2 : 1 4. 2 : 3
X, Y & Z together earn Rs. 1,450 and spend 60 %, 65 % and 70 % of their salaries respectively. Their savings are in the ratio of 14 : 21 : 15. The salary of Y is
Bull Mock
How many ordered natural numbers (J,K) are there such that (J - K) = 3 and difference in the number of zeroes of J! and K! = 2, given that both J, K are less than 300.
At a particular time in the 21st century there were seven bowlers in the indian cricket team's list of 16 players short listed to play the next world cup.Statisticians discovered that if you look at the wickets taken by any of the 7 bowlers of the current cricket team, the no. of wickets taken by them had a strange property. The numbers were such that for any team selection of 1 players (having 1 to 7 bowlers) by using the number of wickets taken by each bowler and attaching coefficients +1,0 or -1 to each value available and adding resultant values , any number from 1 to 1093, both included could be formed.If we denote W1,W2,W3,W4,W5,W6,W7 as the 7 values in ascending order what could be the answer to the following questions:
Find the value of W1+2W2+3W3+4W4+5W5+6W6
a.2005 b.1995 c.1985 d.none
Find the index of the largest power of 3 contained in the product W1W2W3W4W5W6W7
a.15 b.10 c.21 d.6
If the sum of seven coeff is 0, find the smallest number that can be obtained
a. -1067 b. -729 c. -1040 d. -1053