Two equal-sized glasses contain milk up to 1/2 and 3/4 of their respective capacities. Each glass is then filled completely with water. The contents are mixed in another vessel. What is the ratio of milk to water in the final mixture?
UPSC CSAT 2012 Questions
22 questions from the CSAT 2012 paper with answers and detailed solutions. Pick an option to check your answer.
Comprehension passages are not included yet.
If x = √2 + √3, then what is the value of x^2 + 1/x^2?
Mr. Kumar drives to work at an average speed of 48 km/h. The time taken to cover the first 60% of the distance is 10 minutes more than that required for the remaining 40%. Find the distance to his office.
A is the brother of B.
2. C is the father of A.
3. D is the brother of E.
4. E is the daughter of B.
Then the uncle of D is
The views of a cube following a particular motion are given below:

What is the letter opposite to A?
Six squares are coloured, front and back, red (R), blue (B), yellow (Y), green (G), white (W) orange (O) and are hinged together as shown in the figure below. If they were folded to form a cube, what would be the face opposite to white face?

Consider the following information regarding the performance of a class of 1000 students in four different tests:
| Tests | I | II | III | IV |
|---|---|---|---|---|
| Average marks | 60 | 60 | 70 | 80 |
| Range of marks | 30 to 90 | 45 to 75 | 20 to 100 | 0 to 100 |
If a student scores 74 marks in each of the four tests, in which one of the following tests is her performance the best comparatively?
Four men are waiting at Delhi airport for a Mumbai flight. Two are doctors and the other two are businessmen. Two speak Gujarati and two speak Tamil. No two of the same profession speak the same language. Two are Muslims and two are Christians. No two of the same religion are of the same profession, nor do they speak the same language. The Tamil-speaking doctor is Christian.
Consider the following statements:
The Christian businessman speaks Gujarati.
The Gujarati-speaking doctor is a Muslim.
Which of the above statements is/are correct?
Three persons A, B and C wore shirts of black, blue and orange colours and pants of green, yellow and orange colours. No person wore shirt and pants of the same colour.
Further:
A did not wear a black shirt.
B did not wear a blue shirt.
C did not wear an orange shirt.
A did not wear green pants.
B wore orange pants.
What were the colours of the pants and shirt worn by C, respectively?
Ten new TV shows started in January — 5 sitcoms, 3 dramas and 2 news magazines. By April, only seven of the new shows were still on, five of them being sitcoms.
Which one of the following logically follows?
Only six roads A, B, C, P, Q and R connect a military camp to the rest of the country. Only one out of A, P and R is open at any one time. If B is closed, so is Q. Only one of A and B is open during storms. P is closed during floods.
Which one of the following statements is correct?
In five flats, one above the other, live five professionals. The professor has to go up to meet his IAS officer friend. The doctor is equally placed with respect to all and has to go up as frequently as he goes down. The engineer has to go up to meet his MLA friend above whose flat lives the professor's friend.
From the ground floor to the top floor, in what order do the five professionals live?
Guest lectures on five subjects — Economics, History, Statistics, English and Mathematics — have to be arranged from Monday to Friday. Only one lecture can be arranged on each day.
Economics cannot be scheduled on Tuesday.
History is available only on Tuesday.
Mathematics is immediately after Economics.
English is immediately before Economics.
Which lecture is scheduled on Monday?
Guest lectures on five subjects — Economics, History, Statistics, English and Mathematics — have to be arranged from Monday to Friday. Only one lecture can be arranged on each day.
Economics cannot be scheduled on Tuesday.
History is available only on Tuesday.
Mathematics is immediately after Economics.
English is immediately before Economics.
Which lecture is scheduled between Statistics and English?
Guest lectures on five subjects — Economics, History, Statistics, English and Mathematics — have to be arranged from Monday to Friday. Only one lecture can be arranged on each day.
Economics cannot be scheduled on Tuesday.
History is available only on Tuesday.
Mathematics is immediately after Economics.
English is immediately before Economics.
Which lecture is the last one in the week?
Guest lectures on five subjects — Economics, History, Statistics, English and Mathematics — have to be arranged from Monday to Friday. Only one lecture can be arranged on each day.
Economics cannot be scheduled on Tuesday.
History is available only on Tuesday.
Mathematics is immediately after Economics.
English is immediately before Economics.
Which lecture is scheduled on Wednesday?
Guest lectures on five subjects — Economics, History, Statistics, English and Mathematics — have to be arranged from Monday to Friday. Only one lecture can be arranged on each day.
Economics cannot be scheduled on Tuesday.
History is available only on Tuesday.
Mathematics is immediately after Economics.
English is immediately before Economics.
Which lecture is scheduled before the Mathematics lecture?
Consider the following statements:
1. All artists are whimsical.
2. Some artists are drug addicts.
3. Frustrated people are prone to become drug addicts.
From the above three statements it may be concluded that
Consider the following statements:
1. All machines consume energy
2. Electricity provides energy
3. Electrically operated machines are cheap to maintain
4. Electrically operated machines do not cause pollution.
Which one of the following inferences can be drawn from the above statements?
Examine the following statements:
1. None but the rich can afford air-travel.
2. Some of those who travel by air become sick
3. Some of those who become sick require treatment
Which one of the following conclusions can be drawn from the above statements?
Examine the following statements:
1. None but students are the members of the club.
2. Some members of the club are married.
3. All married persons are invited for dance.
Which one of the conclusions can be drawn from the above statements?
Examine the following statements:
1. Only those who have a pair of binoculars can become the member of the birdwatcher's club.
2. Some members of the birdwatcher's club have cameras.
3. Those members who have cameras can take part in photo-contests.
Which of the following conclusions can be drawn from the above statements?
