UPSC Data Sufficiency Sample Paper 2015

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UPSC Data Sufficiency Sample Paper 2015 - All candidates can find here Sample Paper of Union Public Service Commission (UPSC) Data Sufficiency Examination will be held on 23.08.2015.

Sample Papers avail for following Exams under UPSC:

✓ Reserved For Upsc Rt/Exam

✓ SCRA Exam, 2015

✓ C.D.S. Exam.(I), 2015

✓ CISF Ac(Exe) LDCE-2015

✓ N.D.A. & N.A. Exam.(I), 2015

✓ I.E.S./I.S.S. Exam., 2015

✓ Combined Geo-Scientist And Geologists' Exam., 2015

✓ Engineering Services Examination, 2015

✓ Combined Medical Services Exam, 2015

✓ Central Armed Police Forces (Ac) Exam., 2015

✓ Civil Services (Preliminary) Exam, 2015

✓ Indian Forest Service 1 Day (Preliminary) Exam, 2015 Through Cs [P] Exam 2015

✓ S.O./Steno (Gd-B/Gd-I) Ltd. Depttl. Competitive Exam 2015 (Written)

✓ C.D.S. Exam.(Ii), 2015

✓ Indian Forest Service (Main) Exam, 2015

What will be the total cost of creating a one-foot border of tiles along the inside edges of a room?
I. The room is 48 feet in length and 50 feet in breadth.
II. Every tile costs ` 10.
(a) 1 (b) 2
(c) 3 (d) 4

Little Beau Peep lost her sheep. She could not remember how many were there. She knew she would have 400 more next year, than the number of sheep she had last year. How many sheep were there?
I. The number of sheep last year was 20% more than the year before that and this simple rate of increase continues to be the same for the next 10 years.
II. The increase is compounded annually.
(a) 1 (b) 2
(c) 3 (d) 4

Three boys had a few Coffee Bite toffees with them. The toffees with the second were 4 more than those with the first and the toffees with the third were 4 more than those with the second. How many toffees were there in all?
I. The number of toffees with each of them is a multiple of 2.
II. The first boy ate up 4 toffees from what he had and the second boy ate up 6 toffees from what had and the third boy gave them 2 toffees each from what he had and the number of toffees remaining with each of them formed a geometric progression.
(a) 1 (b) 2
(c) 3 (d) 4

Is segment PQ greater than segment RS?
I. PB > RE, BQ = ES
II. B is a point on PQ, E is a point on RS.
(a) 1 (b) 2
(c) 3 (d) 4

6. What is the average weight of the three new team members who are recently included into the team?
I. The average weight of the team increases by 20 kg.
II. The three new men substitute earlier members whose weights are 64 kg, 75 kg and 66 kg.
(a) 1 (b) 2
(c) 3 (d) 4

If the selling price were to be increased by 10%, the sales would reduce by 10%. In what ratio would the profits change?
I. The cost price remains constant.
II. The cost price increased by 10%.
(a) 1 (b) 2
(c) 3 (d) 4

If 20 sweets are distributed among some boys and girls such that each girl gets 2 sweets and each boy gets 3 sweets, what are the numbers of boys and girls?
I. The number of girls is not more than 5.
II. If each girl gets 3 sweets and each boy gets 2 sweets, the number of sweets required for the children will still be the same.
(a) 1 (b) 2
(c) 3 (d) 4

Is the distance from the office to home less than the distance from the cinema hall to home?
I. The time taken to travel from home to office is as much as the time taken from home to the cinema hall, both distances being covered without stopping.
II. The road from the cinema hall to home is bad and speed reduces, as compared to that on the road from home to the office.
(a) 1 (b) 2
(c) 3 (d) 4




Directions: Answer the questions based on the following information.
Each of these questions is followed by two statements, I and II.
Choose 1. If the question can be answered with the help of statement I alone.
Choose 2. If the question can be answered with the help of statement II, alone.
Choose 3. If both statement I and statement II are needed to answer the question.
Choose 4. If the question cannot be answered even with the help of both the statements.

Is x + y - z + t even?
I. x + y + t is even.
II. t and z are odd.
(a) 1 (b) 2
(c) 3 (d) 4

What is the number x?
I. The LCM of x and 18 is 36.
II. The HCF of x and 18 is 2.
(a) 1 (b) 2
(c) 3 (d) 4

What is the length of rectangle ABCD?
I. Area of the rectangle is 48 square units.
II. Length of the diagonal is 10 units.
(a) 1 (b) 2
(c) 3 (d) 4

What is the first term of an arithmetic progression of positive integers?
I. Sum of the squares of the first and the second term is 116.
II. The fifth term is divisible by 7.
(a) 1 (b) 2
(c) 3 (d) 4

What is the price of bananas?
I. With ` 84, I can buy 14 bananas and 35 oranges.
II. If price of bananas is reduced by 50%, then we can buy 48 bananas in ` 12.
(a) 1 (b) 2
(c) 3 (d) 4

What is the area of the triangle?
I. Two sides are 41 cm each.
II. The altitude to the third side is 9 cm long.
(a) 1 (b) 2
(c) 3 (d) 4

What is the profit percentage?
I. The cost price is 80% of the selling price.
II. The profit is ` 50.
(a) 1 (b) 2
(c) 3 (d) 4




Directions: Answer the questions based on the following information.
Each of these items has a question is followed by two statements, I and II.
Choose 1. If the question can be answered with the help of one statement alone.
Choose 2. If the question can be answered with the help of any one statement independently.
Choose 3. If the question can be answered with the help of both statements together.
Choose 4. If the question cannot be answered even with the help of both statements together.

After what time will the two persons Tez and Gati meet while moving around the circular track? Both of them start at the same point and at the same time.
I. Tez moves at a constant speed of 5 m/s, while Gati starts at a speed of 2 m/s and increases his speed by 0.5 m/s at the end of every second thereafter.
II. Gati can complete one entire lap in exactly 10 s.
(a) 1 (b) 2
(c) 3 (d) 4

What is the cost price of the chair?
I. The chair and the table are sold, respectively, at profits of 15% and 20%.
II. If the cost price of the chair is increased by 10% and that of the table is increased by 20%, the profit reduces by ` 20.
(a) 1 (b) 2
(c) 3 (d) 4

What is the area bounded by the two lines and the coordinate axes in the first quadrant?
I. The lines intersect at a point which also lies on the lines 3x – 4y = 1 and 7x – 8y = 5.
II. The lines are perpendicular, and one of them intersects the Y-axis at an intercept of 4.
(a) 1 (b) 2
(c) 3 (d) 4

What is the ratio of the volume of the given right circular cone to the one obtained from it?
I. The smaler cone is obtained by passing a plane parallel to the base and dividing the original height in the ratio 1 : 2.
II. The height and the base of the new cone are one-third those of the original cone.
(a) 1 (b) 2
(c) 3 (d) 4

What is the speed of the car?
I. The speed of a car is 10 more than that of a motorcycle.
II. The motorcycle takes 2 hr more than the car to cover 100 km.
(a) 1 (b) 2
(c) 3 (d) 4

Three friends, P, Q and R, are wearing hats, either black or white. Each person can see the hats of the other two persons. What is the colour of P’s hat?
I. P says that he can see one black hat and one white hat.
II. Q says that he can see one white hat and one black hat.
(a) 1 (b) 2
(c) 3 (d) 4




Directions: Answer the questions based on the following information.
Each question is followed by two statements, I and II.
Choose 1. If the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone.
Choose 2. If the question can be answered by using either statement alone.
Choose 3. If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose 4. If the question cannot be answered even by using both statements together.

Mr. Mendel grew 100 flowering plants from black seeds and white seeds, each seed giving rise to one plant. A plant gives flowers of only one colour. From a black seed comes a plant giving red or blue flowers. From a white seed comes a plant giving red or white flowers. How many black seeds were used by Mr. Mendel?
I. The number of plants with white flowers was 10.
II. The number of plants with red flowers was 70.
(a) 1 (b) 2
(c) 3 (d) 4

What is the distance x between two cities A and B in integral number of kilometres?
I. x satisfies the equation log2 x = vx.
II. x < 10 km
(a) 1 (b) 2
(c) 3 (d) 4

How many students among A, B, C and D have passed the examination?
I. The following is a true statement: A and B passed the examination.
II. The following is a false statement : At least one among C and D has passed the examination.
(a) 1 (b) 2
(c) 3 (d) 4

Three professors A, B and C are separately given three sets of numbers to add. They were expected to find the answers to 1 + 1, 1 + 1 + 2, and 1 + 1 respectively. Their respective answers were 3, 3 and 2. How many of the professors are mathematicians?
I. A mathematician can never add two numbers correctly, but can always add three numbers correctly.
II. When a mathematician makes a mistake in a sum, the error is + 1 or – 1.
(a) 1 (b) 2
(c) 3 (d) 4\

Find a pair of real numbers x and y that satisfy the following two equations simultaneously. It is known that the values of a, b, c, d, e and f are non-zero.
ax + by = c
dx + ey = f
I. a = kd and b = ke, c = kf, k0
II. a = b = 1, d = c = e = 2,
(a) 1 (b) 2
(c) 3 (d) 4

There is a circle with centre C at the origin and radius r cm. Two tangents are drawn from an external point D at a distance d cm from the centre. What are the angles between each tangent and X-axis?
I. The coordinates of D are given.
II. The X-axis bisects one of the tangents.
(a) 1 (b) 2
(c) 3 (d) 4

A line graph on a graph sheet shows the revenue for each year from 1990 through 1998 by points and joins the successive points by straight line segments. The point for revenue of 1990 is labelled A, that for 1991 as B and that for 1992 as C. What is the ratio of growth in revenue between 1991–92 and 1990–91?
I. The angle between AB and X-axis when measured with a protractor is 40°, and the angle between CB and X-axis is 80°.
II. The scale of Y-axis is 1 cm = ` 100.
(a) 1 (b) 2
(c) 3 (d) 4

Mr. X starts walking northwards along the boundary of a field, from point A on the boundary, and after walking for 150 m reaches B, and then walks westwards, again along the boundary, for another 100 m when he reaches C. What is the maximum distance between any pair of points on the boundary of the field ?
I. The field is rectangular in shape.
II. The field is a polygon, with C as one of its vertices and A as the mid-point of a side.
(a) 1 (b) 2
(c) 3 (d) 4

A small storage tank is spherical in shape. What is the storage volume of the tank?
I. The wall thickness of the tank is 1 cm.
II. When an empty spherical tank is immersed in a large tank filled with water, 20 L of water overflows from the large tank.
(a) 1 (b) 2
(c) 3 (d) 4




Directions: Answer the questions based on the following information.
Each question is followed by two statements, I and II. Answer each question using the following instructions.
Choose 1. If the question can be answered by one of the statements alone and not by the other.
Choose 2. If the question can be answered by using either statement alone.
Choose 3. If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Choose 4. If the question cannot be answered even by using both statements together.

Two friends, Ram and Gopal, bought apples from a wholesale dealer. How many apples did they buy?
I. Ram bought one-half the number of apples that Gopal bought.
II. The wholesale dealer had a stock of 500 apples.
(a) 1 (b) 2
(c) 3 (d) 4

A square is inscribed in a circle. What is the difference between the area of the circle and that of the square?
I. The diameter of the circle is cm.
II. The side of the square is 25 cm.
(a) 1 (b) 2
(c) 3 (d) 4

What will be the time for downloading software?
I. Transfer rate is 6 kilobytes per second.
II. The size of the software is 4.5 megabytes.
(a) 1 (b) 2
(c) 3 (d) 4

On a given day, a boat carried 1500 passengers across the river in twelve hours. How many round trips did it make?
I. The boat can carry two hundred passengers at any time.
II. It takes 40 minutes each way and 20 minutes of waiting time at each terminal.
(a) 1 (b) 2
(c) 3 (d) 4

What is the value of X?
I. X and Y are unequal even integers, less than 10, and X/Y is an odd integer.
II. X and Y are even integers, each less than 10, and product of X and Y is 12.
(a) 1 (b) 2
(c) 3 (d) 4

Is country X’s GDP higher than country Y’s GDP?
I. GDPs of the countries X and Y has grown over the past five years at compounded annual rates of 5% and 6% respectively.
II. Five years ago, GDP of country X was higher than that of country Y.
(a) 1 (b) 2
(c) 3 (d) 4

What are the values of m and n?
I. n is an even integer, m is an odd integer, and m is greater than n.
II. Product of m and n is 30.
(a) 1 (b) 2
(c) 3 (d) 4

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