Csat---math Questions
#1
Two glasses of equal volume are respectively half and three-fourths filled with milk. They are then filled to the brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel ? [ U.P.S.C ( 2012 ) Pre. ]
#2
In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1:2. Based on the information; the total number of corns in the collection now becomes [ U.P.S.C ( 2013 ) Pre. ]
#3
Out of 120 applications for a post, 70 are male and 80 have a driver's license. What is the ratio between the minimum to maximum number of males having driver's license? [ U.P.S.C ( 2013 ) Pre. ]
#4
The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.) [ U.P.S.C ( 2015 ) Pre. ]
#5
Two equal glasses of same type are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot? [ U.P.S.C ( 2015 ) Pre. ]
#6
The total emoluments of two persons are the same, but one gets allowances to the extent of 65% of his basic pay and the other gets allowances to the extent of 80% of his basic pay. The ratio of the basic pay of the former to the basic pay of the latter is : [ U.P.S.C ( 2016 ) Pre. ]
#7
30g of sugar was mixed in 180 ml water in a vessel A, 40 g of sugar Was mixed in 280 ml of water in vessel B and 20 g of sugar was mixed in 100 ml of water in vessel C. The solution in vessel B is [ U.P.S.C ( 2016 ) Pre. ]
#8
There is a milk sample with 50% water in it. If 1/3rd of this milk is added to equal amount of pure milk, then water in the new mixture will fall down to [ U.P.S.C ( 2017 ) Pre. ]
#9
The monthly incomes of X and Y are in the ratio of 4 : 3 and their monthly expenses are in the ratio of 3 : 2. However, each saves Rs 6,000 per month. What is their total monthly income? [ U.P.S.C ( 2017 ) Pre. ]
#10
Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent 1300 and Rajesh spent 1500. If each racket costs three times a ball does, then what is the price of a racket ? [ U.P.S.C ( 2019 ) Pre. ]
#11
The ratio of a two-digit natural number to a number formed by reversing its digits is 4: 7. The number of such pairs is [ U.P.S.C ( 2019 ) Pre. ]
#12
An amount of money was distributed among A,B and C in the ratio p : q : r . Consider the following statements : [ U.P.S.C ( 2021 ) Pre.] 1. A gets the maximum share if p is greater than ( q + r ) . 2. C gets the minimum share if r is less than ( p + q ) . Which of the above statements is/are correct ?
#13