Pawan retires at the age of 60 years and his employer gives him a pension of Rs. 3600 a year, paid in half yearly instalments for the rest of his life. Assuming life expectancy in India as 70 years and interest as 6% per annum payable half yearly, determine the present value of the pension. [Given, (103)- 20 = 0.55362]
oa:26, 782.80
If ‘57’ in the number system to the base x is equal to ‘75’ in the number system to the base y, then find the minimum difference between x and y.
Approach?
Anil completed a race exactly in the middle among all the racers. Sunil completed the race at the 8th position and he was slower than Anil. Suhas finished the race at the 12th position. Find the number of participants in the race.
A cube of volume 216 cm3 is placed inside a hollow cone of base radius 5 root 2cm such that one face of the cube is parallel to the base of the cone. If two-thirds part of the cube is completely inside the cone, then what is the outer curved surface area (in cm2) of cone ?
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A cube of edge 12 cm is cut into 64 equal cubes. All the cubes are now arranged on a table such that one face of each cube touches the table. The resulting figure is a solid cuboid whose length and breadth are in the ratio 4 : 1 respectively. What is the total surface area of the table occupied by the cuboid?
Probabilty:
A fair coin is tossed 10 times. Let x/y be the probability that no two consecutive tosses show tails where x and y are natural numbers such that HCF(x,y)=1. Find x+y.
OA not availbale
Geometry+Logic:
There are 10 line segments of different integer lengths increasing from 1 meter to n meter. What is the smallest value of n such that no three line segments from the ten can be chosen to make a triangle?
Miscellaneous Quant ::
cos A + cos B + cos C = X + Y sin (A/K) sin (B/K) sin (C/K)
Find X/Y if K=2.
A watch salesman started the day with 11 identical watches.During the first hour of the day , he visited exactly 4 people and sold at least 1 watch.In how many ways could he have sold the watches during the first hour of the day?
A chain smoker buys two matchboxes filled with n matchsticks each. Every time he needs a matchstick, he chooses one of the boxes at random and takes out a matchstick. One day, he takes out a matchbox and finds it empty. The probability that the other matchbox contains k (0 < k < n) matchsticks is ?
Two trains, T1 and T2 simultaneously pass througha station on two parallel tracks without stopping at the station. The platform P2 pased by train T2 is 50% more in length than platform P1 passed by train T1.The train T1 runs at the speed of 72kmph, while other train is 25% slower and 50% longer. What is the raiton of the times taken by the trains T1 and T2 in passing the platforms P1 andP2?
a) 4:3
b) 3:1
c) 1:2
d) cbd
A select two cards at random from a deck of 52 cards .after returning them to the pack and shuffling it B draws two cards at random .the probability that there is exactly one common card
The question is Ravi borrows Rs 10,000 from a bank at a simple interest of 10% p. a. If he repaid his loan in 5 equal yearly instalments, paying each instalments at the end of the respective year, how much did Ravi pay each year? The answer is given as Rs 2,500. The solution is attached. Is this correct?
If x and y are even integers,then the number of solutions of x^2-y^2=7389746232
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In the expansion of (a + b + 2)^6, what will be the coefficient of a^2b^2?
Of the 1560 girls, 230 did not play tennis or badminton, 50 did not play hockey or tennis,40 did not play badminton or hockey. 525 played both tennis and badminton, 545 played both hockey and tennis, 510 played hockey and badminton . How many played all the three games?