One day each member of Ram's family consumed some milk and some water. Though the quantities of milk and water varied for the family members, the total consumption of the two liquids was exactly 7 litres for each family member. If Ram had one-fourth of the total milk consumed and one-sixth of the total water consumed, then what was the ratio of the quantity of milk to that of water consumed by Ram on that day?
1. 3:2
2. 2:3
3. 1:1
4. Cbd
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Pipe A fills a tank of 700 litres capacity at the rate of 40 litres a minute. Another pipe B fills the same tank at the rate of 30 litres a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 litres a minute. If pipe A is kept open for a minute and then closed and pipe B is kept open for a minute and then closed and then pipe C is kept open for a minute and then closed and the cycle repeated, how long will it take for the empty tank to overflow?
(1) 42 minutes (2) 14 minutes (3) 39 minutes (4) 40 minutes 33 seconds (5) None of these
An urgent message had to be delivered from the house of Peshwas in Pune to Shivaji who was camping in Banglore. A horse rider travels on horse back from Pune to Banglore at a constant speed. If the horse increased its speed by 6 km/hr, it would take the rider 4 hours less to cover that distance. And travelling with the speed of 6 km/hr lower than the initial speed, it would take him 10 hours more than the time he would have taken had he travelled at a speed 6 kmph higher than the initial speed. Find the distance between Pune and Banglore.
Please provide solutions too..
A certain cake recipe states that the cake should be
bakd in a pan 8 inches in diameterIf Jlrles wants
to use the recipe to make a cakc of the same depth
but 12inches in diameter .by what factor should he
multiply the recipe ingredients... ?
find the number of integral solution |x|+|y|+|z|=15
a.900 b.901 c.902 d.903
explanation please
Let M be a three-digit number denoted by 'ABC' where A, B and C are numerals from 0 to 9. Let N be a number formed by reversing the digits of M. It is known that M – N + (396 × C) is equal to 990. How many possible values of M are there which are greater than 300?
a) 10
b) 20
c) 18
d) 30
A person starts from hill top A, goes downhill on car, then along a plain walking and finally climbs to hill top B. He takes a total of 4 hours for the jouney travelling downhill @72kmph, on plains @63kmph and uphill @56kmph. However while returning back, from B to A, he takes 4 hours 40 mins with speeds being same. Find distance AB.
1) 273
2) 427
3) 723
4) 373 Skip
1 —
1/(2.5.8) + 1/(5.8.11) + 1/(8.11.14) + ...... upto 15 terms
1) 39/2350
2) 35/2151
3) 351/25010
4) none
In an island, which had a total population of 55009, a war was fought between 'Benos' and 'Malos' the only tribes residing in the island. During the war every 'Benos' fought with a different number of 'malos'. One of them fought with exactly 140 'Malos', a second one fought with exactly 141 'Malos', a third one fought with exactly 142 'Malos', a fourth one with with exactly 143 'Malos' and so on till one of them fought with every 'Malos' residing in the island. Find the number of 'Malos' residing in the island.
a) 27435
b) 27574
c) 33000
d) 30000
In a survey it was found that 80% of viewers watches DD, 60% watches BBC and 75% watches Star Plus."
What is the minimum percentage of the viewers watching all the three channels?
I need the approach. lyk if ny formula. thanx
Highest possible value of 'n' for which 3^1024 - 1 is divisible by 2^n?
P is the product of first 30 multiples of 30. N is the total number of factors of P. In how many ways N can be written as the product of two natural numbers such that the HCF of these two natural numbers is 19?
a) 2
b) 3
c) 4
d) 5
plzz tell approach
1. Find min value of fn: |-5-x| + |2-x|+|6-x|+10-x|; where x is an integer
Mandeep has to create a password having 5 distinct characters using at least 2 digits (from 7 to 9) and at least 2 English vowels (from A, E, I, O and U). No character other than digits from 7 to 9 and vowels of English alphabets are allowed in that password. If the password starts with a digit, then it must end with an alphabet and if it starts with an alphabet, then it must end with a digit. Find the number of possible passwords that Mandeep can create.
a) 1260
b) 4480
c) 3640
d) 2880
Given that the equation x3 + ax2 + bx + c = 0 has three real roots α, β and γ. If [α] = [β] = [γ] = 1, then which of the following cannot be a combination of the values of the constants 'c' and 'a'? {Here, [x] denotes the greatest integer less than or equal to x.}
1) a =-3.3 , c = -1.25
2) a =-5.7 , c = -6.75
3) a =-4.2 , c = -2.85
4) a =-4.8 , c = -3.75
Average age of 50 students is 13 yrs.weigth is proportional to height . 165 students have weight 33 kg. Avg weight of the class is?
pipes X,Y and Z can empty a tank in 72 min, 90 min and at the rate of 6L/min for Z. pipes were opened simultaneously and they emptied the tank in 120 mins.Find the capacity of the tank?
If the sum of 4 positive numbers is 13, then their product is necessarily:
a) less than 108
b) less than 120
c) less than 100
d) more than 10
Four points A, B, C and D lie on a straight line in the X-Y plane, such that AB = BC = CD, and the length of AB is 1 metre. An ant at A wants to reach a sugar particle at D. But there are insect repellents kept at points B and C. The ant would not go within one metre of any insect repellent. The minimum distance in metres the ant must traverse to reach the sugar particle is
OA: pi + 1