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Q.1) Sum of the digits of a three digit number is 17 and sum of the squares of the digit is 109. Also when the number is subtracted by 495 the number gets reversed. Find the number ?
Q.2) Car A leaves city C at 5pm and is driven at a speed of 40 kmph. Two hours later another car leaves city C and is driven in same direction as car A. In how much time car B be 9 km ahead of car A if the speed of car B is 60 kmph.
Q.3) N is a natural number and n^3 has 16 factors. Then how many factors can n^4 have?
Q.4) If a publication occurs every seven years and the sum of the years is 13524. Then find the first year
Q.5) 3 mangoes and 4 apples costs Rs 85. 5 apples and 6 peaches costs Rs. 122. 6 mangoes and 2 peaches cost Rs.114. what is the combined price of 1 apple, 1 peach and 1 mango?
Q.6) what is the remainder of (16937^30)/31 ?
Q.7) In how many ways can we form 6 digit number from 1,2,3,4,5,6,7 so that last and second last digit must be even.
Q.8) If A=2/3(B-C) and c=1/2(A+B) and A+B+C=3000, then find C ?
Q.9) In a cricket match,two batsman scores are 96,96 respectively.They require only 5 runs in 3 balls,can both the batsman complete their centuries?
Q.10) In how many rearrangements of the word ERASED in the letter ‘A‘ positioned in between the 2 ‘E‘s?
Q.11) how many 4 are there in between numbers 11 and 100 ?
Q.12) A drawer has 4 red hats and 4 blue hats.find the probability of getting excatly 3 blue hats when taking out 4 hats randomly out of the drawer and immediatly returning every hatto the drawer before taking out the next?
Q.13) Find the sum of number between 200 and 300, which is multiple of 3?
Q.14) Kate wanted to buy 2 kgs of apples. The vendor kept the 2 kg weights on the right side and weighed 4 apples for that. She doubted on the correctness of balance and placed 2 kg weight on the left side and she could weigh 12 apples for 2 kgs. If the balance was correct how many apples she would have got ?
Q.15) Find the remainder when 32^33^34 is divided by 11 ?
Q.16) There are several bags of same weights. A bag is 6 kg plus three fourth of weight of an another bag . What is the weight of the bag?
Q.17) Find the remainder when 6^50 is divided by 215 ?
Q.18) 6 positive integers are taken at random and multiplied together. Then what is the probability that products ends in an odd digit other than 5?
Q.19) There is a square field of side 10m. A man runs with different speed 10kmph, 15kmph, 20kmph, 25kmph on the four sides of the field. What is the average speed of man ?
Q.20) Arun wanted to find the largest number of 4 digits such that when added to 7249 generated a number that gave a remainder 0 when devided by 54, 12, 14, 21, 33. Find the number ?
Q.21) On a certain internet polling, the rejection rate of Bru Exotic production was 4% , for Bru Classic production 8% and for both the coffee varities combined was 7%. What was the ratio of Bru exotic to Bru classic production ?
Q.22) Three sides of a triangle PQ, QR, and RP contains 5, 6 and 3 points respectively. What is the max number of triangles can be made using these points.
Q.23) There are two bottles A and B, each filled with milk and water in the ratio 5:3 and 1:2 respectively. A new mixture is formed by mixing the contents of A and B in the ratio 4:3.What is the ratio of composition of milk and water in the new mixture?
Q.24) a % of a)+ (b % of b)=2 % of ab, then what percentage of a is b?
Q.25) Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?
Q.26) find the last two digits of (1021^3921)+(3081^3921) ?
Q.27) "LEADING" arrange it in such a way that atleast two vowels always together ?
Q.28) In a meeting between 2 countries each country has 12 delegates. All the delegates of one country shake hands with all delegates of other countries. Find the number of handshakes possible?
Q.29) In a mixture of a, b, & c, if a and b are mixed in 3:5 ratio and b and c are mixed in 8:5 Ratio and if the final mixture is 35 liters, find the amount of b?
Q.30) If m+n gives remainder 8 & m-n gives remainder 6 when divided by 12 , what is remainder when mn divided by 6?