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 ?
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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.
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Q.3) N is a natural number and n^3 has 16 factors. Then how many factors can n^4 have?
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Q.4) If a publication occurs every seven years and the sum of the years is 13524. Then find the first year
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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?
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Q.6) what is the remainder of (16937^30)/31 ?
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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.
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Q.8) If A=2/3(BC) and c=1/2(A+B) and A+B+C=3000, then find C ?
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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?
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Q.10) In how many rearrangements of the word ERASED in the letter ‘A‘ positioned in between the 2 ‘E‘s?
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Q.11) how many 4 are there in between numbers 11 and 100 ?
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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?
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Q.13) Find the sum of number between 200 and 300, which is multiple of 3?
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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 ?
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Q.15) Find the remainder when 32^33^34 is divided by 11 ?
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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?
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Q.17) Find the remainder when 6^50 is divided by 215 ?
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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?
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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 ?
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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 ?
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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 ?
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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.
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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?
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Q.24) a % of a)+ (b % of b)=2 % of ab, then what percentage of a is b?
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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 ?
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Q.26) find the last two digits of (1021^3921)+(3081^3921) ?
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Q.27) "LEADING" arrange it in such a way that atleast two vowels always together ?
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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?
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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?
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Q.30) If m+n gives remainder 8 & mn gives remainder 6 when divided by 12 , what is remainder when mn divided by 6?
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