CSAT – UPSC Prelims PYQs
253 questions · 1995–2010 · answers as per the UPSC key · page 4 of 6
In a class there are 18 boys who are over 160 cm tall. If these boys constitute three fourths of the boys and the total number of boys is two third of the number of students in the class, then what is the number of girls in the class?
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A rectangular piece of iron sheet measuring 50 cm by 100 cm is rolled into a cylinder of height 50 cm. If the cost of painting the cylinder is Rs. 50 per square metre, then what will be the cost of painting the outer surface of the cylinder?
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In an examination, every candidate took Physics or Mathematics or both. 65.8% took Physics and 59.2% took Mathematics. The total number of candidates was 2000. How many candidates took both Physics and Mathematics?
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A bag contains 20 balls. 8 balls are green, 7 are white and 5 are red. What is the minimum number of balls that must be picked up from the bag blind-folded (without replacing any of it) to be assured of picking at least one ball of each colour?
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Which one of the following has a greater perimeter than the rest?
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In the given figure, angle QOP = 30° and angle ORP = 20°, angle QOR is equal to
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A club has 108 members. Two-thirds of them are men and the rest are women. All members are married except for 9 women members. How many married women are there in the club?
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The following figure represents time vs. learning curves of two students, Q and R, for learning a Mathematics lesson.
Which one of the following inferences can be drawn from the graph?
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A person starts from a point A and travels 3 km eastwards to B and then turns left and travels thrice that distance to reach C. He again turns left and travels five times the distance he covered between A and B and reaches his destination D. The shortest distance between the starting point and destination is
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The distribution of 1,00,000 tourists who visited India during a particular year is shown in the given charts. Based on this, the number of Japanese tourists below the age of 39 who visited India in the year concerned is
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What is the maximum number of pieces of 5 cm × 5 cm × 10 cm cake that can be cut from a big cake of 5 cm × 30 cm × 30 cm size?
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In the sequence of numbers 5, 8, 13, X, 34, 55, 89, ……… the value of ‘X’ is
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On another planet, the local terminology for earth, water, light, air and sky are ‘sky’, ‘light’, ‘air’, ‘water’ and ‘earth’ respectively. If someone is thirsty there, what would he drink?
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The average speed of a train in the onward journey is 25% more than that of the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to-and-fro journey is 17 hours covering a distance of 800 km. The speed of the train in the onward journey is
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In a town 25% families own a phone and 15% own a car. 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard: I. 10% families own both a car and a phone. II. 35% families own either a car or a phone. III. 40,000 families live in the town.
Which of the above statements are correct?
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The yield versus fertilizer input is shown in the graph. Consider the following statements based on this graph: I. Yield rate is zero at B and C. II. There is no yield with no fertilizer input. III. The yield is minimum at D. IV. The yield is neither minimum nor maximum at C.
Which of the above statements are correct? The original graph is not available for this question.
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In a code language, ‘SOLID’ is written as “WPSLIMFHA’. What does the code word ‘ATEXXQIBVO’ refer to?
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A company manufacturing air-conditioners has set a monthly target. The target and realised values are shown in the bar chart. Consider the following statements based on the chart: I. The targeted sales on a monthly basis have been achieved. II. The overall target value has been exceeded by 7.5%. III. The Sales Department deserves a pat on the back.
Which of the above statements is/are correct?
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In a group of five people—K, L and M are ambitious; M, N and R are honest; L, M and N are intelligent and K, N and R are industrious. Among these, neither industrious nor ambitious person(s) would include
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A man is standing on the 8 m long shadow of a 6 m long pole. If the length of his shadow is 2.4 m, what is the height of the man?
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If the angles of a triangle are in the ratio of 4 : 3 : 2, then the triangle
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The surface area of a spherical dome-shaped roof of a cylindrical water tank shown in the figure is The original figure is not available for this question.
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If X + 2Y = 2X + Y, then X² / Y² is equal to
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A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is the same for both bowl and cylinder, then the volume of the beverage in the cylindrical vessel will be
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In an office, the distribution of work hours is as shown in the following table: No. of Staff Members | No. of hours worked 5 | 0 – 19 12 | 20 – 24 25 | 25 – 29 40 | 30 – 34 15 | 35 – 39 8 | 40 – 45 Consider the following inferences drawn from the table: I. The average number of hours worked by a staff member is about 30. II. The percentage of those who worked 35 or more hours is less than 25. III. At least 5 staff members worked more than 44 hours.
Which of these inferences is/are valid?
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At a given time, two players are standing on a play-field. The cartesian coordinates of their locations are (20, 60) and (-40, -20) units. What is the distance between the players?
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The area of an ellipse is twice that of a circle. The major diameter of the ellipse is twice that of the minor diameter. The radius of the circle is
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Amar, Akbar and Anthony are friends, being looked after by a matron Farah. Amar weighs 50% more than Akbar and Anthony weigh 25% less than Amar. Farah weighs a third of the combined weight of the three boys. All four together weigh 232 kg. The correct arrangement of the persons in the ascending order of their weights is
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Examine the following three statements: I. Processed meat is a perishable food.
II. All perishable foods are packed in sealed tins. III. Sealed tins sometimes do not contain processed meat.
Which one of the following inferences can be drawn from the above statements?
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The table below indicates the performance of India in rice and wheat production from 1950-51 to 1995-96.
Which of the following conclusions arrived at from the above table would be valid? I. Record production of rice as well as wheat has been in 1994-95. II. The ratio of wheat to rice production seems to have steadily increased over 16 years. III. Wheat has not been popular among the Indian population before 1980. IV. India became self-sufficient in rice and wheat only after 1990.
Select the correct answer using the codes given below:
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LMNOP is a semi-circle with centre at R and diameter LP; LSR and RQP are also semi-circles with centres at T and U and diameters LR = RP = 1⁄2 LP. The ratio of perimeters of LMNOP and LSRQP is
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A man purchases two clocks A and B at a total cost of Rs 650. He sells A with 20% profit and B at a loss of 25% and gets the same selling price for both the clocks. What are the purchasing prices of A and B respectively?
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If 15 pumps of equal capacity can fill a tank in 7 days, then how many extra pumps will be required to fill the tank in 5 days?
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Out of the three annual examinations, each with a total of 500 marks, a student secured average marks of 45 % and 55 % in the first and second annual examinations. To have an overall average of 60 %, how many marks does the student need to secure in the third annual examination?
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Which one of the following satisfies the relationship D d a : a D D :: R r b : ?
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A square pond has 2 m sides and is 1 m deep. If it is to be enlarged, the depth remaining the same, into a circular pond with the diagonal of the square as diameter as shown in the figure, then what would be the volume of earth to be removed?
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One local and another express train were proceeding in the same direction on parallel tracks at 29 km/hour and 65 km/hour respectively. The driver of the former noticed that it took exactly 16 seconds for the faster train to pass by him. What is the length of the faster train?
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A, B, C, D, E and F, not necessarily in that order, are sitting on six chairs regularly placed around a round table. It is observed that A is between D and F, C is opposite D, and D and E are not on neighbouring chairs.
Which one of the following pairs must be sitting on neighbouring chairs?
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If in a certain code SAND is VDQG and BIRD is ELUG, then what is the code for LOVE?
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In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is nine years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?
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The missing fraction in the series given below is:
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There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak only Hindi and how many can speak only English?
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An accurate clock shows the time as 3 : 00. After the hour hand has moved 135°, the time would be
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In the set of figures (I) to (IV), some parts are shown to change their position in a regular direction. Following the same sequence, which one of the following will appear at the fifth stage?
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Examine the following statements:
I. All members of Mohan’s family are honest. II. Some members of Mohan’s family are not employed. III. Some employed persons are not honest. IV. Some honest persons are not employed.
Which of the following inferences can be drawn from the above statements?
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In a dinner party both fish and meat were served. Some took only fish and some only meat. There were some vegetarians who did not accept either. The rest accepted both fish and meat.
Which one of the following logic diagrams correctly reflects the above situation?
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A, B, C, D, E, F and G are members of a family consisting of 4 adults and 3 children, two of whom, F and G, are girls. A and D are brothers and A is a doctor. E is an engineer married to one of the brothers and has two children. B is married to D and G is their child. Who is C?
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The behaviour of a fictitious stock market index (comprising a weighted average of the market prices of a selected list of companies including some multinational corporations (MNCs) over a 15-day period is shown in the graph. The behaviour of the MNC’s in the same period is also shown in the second graph.
Which one of the following is a valid conclusion? The original graph is not available for this question.
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A rectangular plot of lawn shown in the figure has dimensions x and y and is surrounded by a gravel pathway of width 2 m. What is the total area of the pathway? The original figure is not available for this question.
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The average monthly income of a person in a certain family of 5 is Rs. 1000. What will be the monthly average income of a person in the same family if the income of one person increased by Rs. 12,000 per year?