query on averages:
1) sachin made 1000 runs in 20 matches ,if he made 0 runs in one match ,find the average runs of other matches
2)A,B,C and D are four consectutive numbers .if the sum of a and d is 103 what is the product of b and c?
3) a boy has to find the average of 25 positive integers. Each integer contain two digits .by mistake ,the boy interchanges the digits of one number and finds the average 2.88 less than the real average .what is the difference between the two digits of that number?
query on simplifications:
1) (34.5*14*42)/2.8?
2) 3 3/8*6 5/12 - 2 3/16 * 3 ½=?
3) 3√576/4√(14+√576) =?
4) 3/5 of 2/7 of? =426?
5) 13/63 104/14 * 52/19=?
Could you explain simple way to deal with it? Thanx in advance
querys on number system:
1. If the positions of the digits of a two-digit number are interchanged, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 1:2,what is the original number
1) 36 2) 63 3) 48 4) cannot be determined 5) none of these
2. If the digits of a two-digit number are interchanged ,the number formed is greater than the original number by 45 . if the difference between the digits is 5, what is the original number?
1)16 2) 27 3) 38 4) cannot be determined 5) none of these
3) on a school's annual day sweets are to be equally distributed amongst 112 children.but on that particular day,32 children were absent.thus the remaining children got 6 extra sweets .how many sweets was each children supposed to get?
1) 24 2) 18 3) 15 4) cannot be determined 5) none of these
Given that 2x+3y=10, where x & y are positive real numbers and x is lesser than & equal to K/(y^2/3), for all x,y, what is the minimum value of K ??
1) In a college election fought between two candidates,one candidate got 55% of the total valid votes.15% of the votes were invalid. If the total votes were 15,200 what is the number of valid votes the other candidate get?
1)7106 2)6840 3) 8360 4)5814
2) When the cost of petroleum increases by 40%, a man reduces his annual consumption by 20% . find the percentage change in his annual expenditure on petroleum.
1)20% 2)16% 3)12% 4)40% 5) none of these
3)if 25% of a number is subtracted from a second number, the second number reduces to its five - sixth. What is the ratio of the first number to the second number?
1) 1:3 2) 2:3 3) 3:2
4)75% of a number is equal to four-fiths of another number. What is the ratio between the first number and the second number?
1)5:3 2)15:16 3)3:5 4)16:15
5)two-fifth of one-third of three-seventh of a number is 15.what is the 40% of that number?
1)72 2)84 3)136 4)none of these
6)the income of a is 150% of the income of b and the income of c is 120% of the income of a.if the total income of a,b,c together is 86,000,what is c's income?
1)30,000 2) 32,000 3) 36,000
7)the price of sugar falls by 12%.how many quintals can be brought for the same money which was sufficient to buy 44 quintals at the higher price?
1)54 2)50 3)38
please explain me in short detail i cant able to get them excatly
firstly thanx for veiwing i know i have posted alot of questions in a bulk but badly i needed an explanation for this to understand them in a better way
1. Harshad bought 15 DVD players at ` 4,500 each and sold all of them at the total price of ` 81,000. What is the per cent profit earned in the deal?
1)16 2)20 3)25 4)20.5 5) None of these
2. A shopkeeper sells 200 m of cloth for ` 9,000 at a profit of ` 5 per m. What is the cost price of 1 m of cloth?
1) ` 45 2) ` 40 3) ` 35 4) ` 30 5) None of these
3. Manoj sold an article for ` 15,000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price?
1) ` 12,500 2) ` 13,500 3) ` 12,250 4) ` 13,250 5) None of these
4. If Ramu buys books at 11 books for ` 10 and sells at 10 books for ` 12, then what will be his gain percent?
1) 11% 2) 22% 3) 32% 4)15% 5) None of these
5. After selling a book, Rohan found that he had made a loss of 12%. He also found that had he sold it for ` 36 more, he would have made a profit of 6%. What was the initial loss?
1) ` 12 2) ` 18 3) ` 20 4) Data inadequate 5) None of these
6. If a person sold two articles at same price and realized 10% profit on one and 10% loss on the other article. What net profit/loss % does he make?
1) No Profit No loss 2) Loss 1% 3) Profit 1% 4) Loss 10% 5) None of these
7. If the selling price of ` 24 results in a 20% discount on list price, then what selling price would result in a 30% discount on list price?
1) ` 21 2) ` 24 3) ` 18 4) ` 15 5) None of these
8. In a sale, a perfume is available at a discount of 15% on the selling price. If the perfume's discounted selling price is ` 3740, what was the original selling price of the perfume?
1) ` 4,324 2) ` 4,386 3) ` 4,400 4) ` 4,294 5) None of these
9. A shopkeeper marks his goods in such a way that after allowing a discount of 10%, he gains 17%. How much percent above C.P. is the marked price?
1) 50% 2) 30% 3) 27% 4) 7% 5) None of theses
10. At what price should a shopkeeper mark a radio that cost him ` 1200 in order that he may offer a discount of 20% on the marked price and still make a profit of 25%?
1) ` 1675 2) ` 1875 3) ` 1900 4) ` 2025 5. None of these
11. Sanjay bought a microwave oven and paid 10% less than the original price. He sold it with 30% profit on the price he had paid. What percentage of profit did Sanjay earn on the original price?
1) 17% 2) 20% 3) 27 % 4) 32% 5) None of these
thanx in advance
@ query on simple intrest and compound intrest
1. Karan took a loan on simple interest at the rate of 12% per year, after 8 months he
paid 8100. How much loan was taken by Karan?
1) 7500 2) 8000 3) 6,500 4) 7000 5) None of these
2. Shilpa took loan of 800 at the rate of 11% per year for 7 months. How much does she
need to pay at the end of 7 months?
1) 851 2) 852 3) 950 4) 951 5) None of these
3. An amount doubles itself at the end of 8 years with a certain rate of simple interest.
What will be the total simple interest on 8000 at that rate at the end of four years?
1) 4000 2) 2000 3) 8000 4) Data Inadequate 5) None
4. The compound interest on a certain amount for 2 years at the rate of 5% is 102.5.
Find the amount.
1) 500 2) 725 3) 850 4) 1000 5) None of these
5. If the annual increase in the population of a town is 4% and the present population is
16224, what was the population two years ago?
1) 15000 2) 14000 3) 15500 4) 16000 5) None of these
6. Brijesh borrowed a sum of 2000 at 2% per month simple interest on yearly basis. It
was decided that if the sum would not be returned at the end of the year interest
would be charged on the fixed interest. If the sum was returned after two years then
how much did Brijesh pay?
1) 3,600 2) 3,844 3) 3,700 4)3,100 5) None of these
7. The compound interest on 800 at a certain rate for two years is 65.28. What would be
the approximate compound interest on the same amount for three years?
1) 100 2) 85 3) 90 4) Cannot be determined 5) None of these
8. Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a.
for the next 5 years and 13% p.a. for the period beyond eight years. If the total
interest paid by him at the end of 11 years is 8160, how much money did he borrow?
1) 8000 2) 10000 3) 12000 4) 6000 5. None of these
9. The difference between C.I. & S.I. on a sum of money for 3 years at 5% is
133 7/16
.What is the sum?
1) 16000 2) 17500 3) 17000 4) 18000 5) None of these
10. Amit has given a loan to Sumit an amount of 20000 at an interest rate 8 % p.a. for a
period of 30 months. If interest charged is at compound interest, how much does
Sumit need to pay in the end?
1) 23000 2) 24000.36 3) 24261.12 4) 25020.54 5) None of these
11. 800 become 956 in 3 years at a certain rate of simple interest. If the rate of
interest is increased by 4%, what amount will 800 become in 3 years?
1) 1020.80 2) 1025 3) 1052 4) Data inadequate 5) None of these
query on ratio and proportion :
1. 207 students appeared in an examination out of 276 registered students. Find out the ratio between registered to the appeared students.
1) 12: 23 2) 23: 12 3) 9 : 23 4) 23 : 9 5) None of these
2. Twice the square of a number is six times the other number. What is the ratio of the first number to the second?
1) 1:4 2) 2:5 3) 1:3 4) cannot be determined 5) None of these
3. The ratio of length and breadth of a rectangle is 3: 2. If the breadth is increased by 20% and length is increased by 10%, then what will be the new ratio of breadth and length?
1) 8 : 11 2) 11 : 8 3)7 :10 4) 22: 33 5) None of these
4. If 𝟏/𝟒th area of a rectangular plot is 2700 sq m and the width of that plot is 90 m, what is the ratio between the width and the length of the plot?
1) 3:4 2) 4:3 3) 3:1 4) 1:3 5) None of these
5. The ratio of length and breadth of a rectangular plot is 5: 3. If the perimeter of the plot is 96 m, what is its area?
1) 450 sq m 2) 360 sq m 3) 540 sq m 4) Data inadequate 5) None of these
queries on mixture and alligations
1.729 ml of mixture contains milk and water in the ratio 7: 2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7: 3?
1) 79 ml 2) 81 ml 3) 72 ml 4) 91 ml 5) None of these
2.An alloy of copper and lead contains 35% of copper by weight. If the final percentage of copper is to be 66.66, then what will be the weight of copper which must be added to 400 lb of this alloy?
1) 400lb 2)350lb 3) 280 lb 4) 380 lb 5) None of these
3.A milk vendor has 2 cans of milk. The first can contains 25% water and the second can contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3:5?
1) 4 litres and 8 litres 2) 5 litres and 7 litres 3) 6 litres and 6 litres 4) 7 litres and 5 litres 5) None of these
4.In what ratio should two different types of mixtures containing, milk and water in the ratio of 5:1 and 2:1 respectively mixed to obtain a final mixture containing milk and water in the ratio of 3:1?
1) 7: 5 2) 1: 2 3) 2: 1 4) 1: 1 5) None of these
5.In two alloys, the ratio of zinc to tin is 5: 2 and 3: 4. If 7 kg of the first alloy and 21 kg of the second alloy are mixed together to form a new alloy, then what will be the ratio of zinc and tin in the new alloy?
1) 2: 1 2) 1: 2 3) 1: 1 4) 1: 3 5) None of these
6.6 gallons of wine are drawn from a cask and replaced by 6 gallons of water. 6 gallons of the mixture are drawn next and again replaced by 6 gallons of water. If the ratio of wine to water in the cask is now 81:19, then what was the quantity of wine (in gallons) in the cask at the beginning of the operation? (There was no water in the cask at first)
1) 60 2)18 3) 36 4)24 5) None of these
7. A sum of Rs. 16800 is divided into two parts. One part is lent at the simple interest of 6% per annum and the other at 8% per annum. After 2 years total received is Rs.19000. What is the sum lent at 6% of simple interest? 1) Rs.12200 2) Rs. 12000 3) Rs.11000 4) Rs.10000 5) None of these
Solve:
The set A consists of m consecutive integers with sum 2m . The set B consists of 2m consecutive integers with sum m . The difference between the largest elements of A and B is 99. Find m .
Solve:
Given a rhombus ABCD, the circumradii of the triangles ABD and ACD are 12.5 and 25. Find the area of ABCD
What will be the remainder when 10^10 + 10^100 +10^1000+..... 10^10^10 is divided by 7?
Any one willing to form a small group to share preparatory resources of CAT preparation? Around Kadugodi Bangalore.
Remainder when 209! is divided by 422?
In how many ways can 30 chocolates be distributed among 7 individuals such that everyone gets a distinct number of chocolates?
Find the maximum value of y,if y=max(3x+2,x-1)
A box contains 10 red balls and 15 blue balls. One ball from the box is lost. Two balls are then drawn from the box and are found to be red ones. Find the probability that the ball lost is blue.
A)15/23
B)3/5
C)8/23
D)None of these
For four natural numbers a,b,c,d - the HCF of a/b and c/d is (2/105), LCM of a/b and c/d is (12/5) , HCF of a/c and b/d is (1/210). LCM of a/c and b/d is 60, then the least value of a+b+c+d is ?
OA- 60
I am getting - a=4, b=5,c=2, d=35 --- (46) where m I messing up ?