data sufficiency

Pratyush @ Toughest Questions

Data Sufficiency


Find out which of the 2 statements that follow are

sufficient to answer the question.


A. Only A is sufficient.B. Only B is sufficient.C. Both are required.D. Either is sufficient.E. Data insufficient/irrelevant.

Mark Answer as ...


Is x = - 5?

A. 25 = x2

B. x = |x|Answer: (B)


Is x > y?

A. x + y = 2B. x / y = 2Answer: (C)


A. k2 is oddB. 2k is evenAnswer: (A)

Is the integer k odd or even?


A. 3x = 3kB. k = y2

Answer: (E)

Is x > y?


A. x > 1B. x < yAnswer: (C)

Is 1/x > 1/y?


A. a > 2bB. a >= b + 3Answer: (A)

Is 2a > 3b; a,b > 0?


A. 68% of eligible men votedB. 73% of eligible women votedAnswer: (E)

100,000 people are eligible to vote. How many

of them voted?


A. X is divisible by 3B. X is divisible by 27Answer: (B)

Is X divisible by 9?


A. 2a + 3b = 11a + 2bB. The 2 digit no. Is a multiple of 19Answer: (A)

What is the 2 digit number ab? It is > 9


A. 3 digit number abc is a multiple of 8B. a*b*c is a multiple of 8Answer: (E)

Is a+b+c multiple of 8? 0 <= Integers a,b,c <=9


A. x = yB. y = zAnswer: (A)

A, B & C are lines. Are A and B parallel?


A. Perimeter of ABCD > Perimeter of EFGHB. AC > EGAnswer: (E)

Which area is larger, ABCD or EFGH?


A. AC = 42B. Radius of BOC is 2Answer: (D)

ABCD is a square. BCO is a semi-circle. What is the

area of ABOCD?


A. Coordinates of P is (2,3)B. Coordinates of Q is (4,1)Answer: (C)

Do P & Q lie on the circle with center at (0,0)?


A. a +b > cB. a > b > cAnswer: (B)

a, b and c are angles of a triangle. Is c > 60?


A. First April of that year was a MondayB. X X X X is a leap year.Answer: (A)

On what day of the week does first August of the

year X X X X fall ?


A. X attempted 80% of the 180 questions.B. X got 60% of the attempted questions correct.Answer: (E)

X’s score in the latest test is


A. All the letters are differentB. Two of the six letters repeatAnswer: (A)

The total number of ways a six letter word can

be re arranged


A. A has 3 one rupee coins and four 50 paise coinsB. The newspaper costs Rs. 2Answer: (C)

In how many ways can A pay for the newspaper ?


A. X es the cost by 10 and gives a discount of 10%. B. X es the cost by 10% and allows a discount of 10%.Answer: (B)

Does X gain or lose?


A. x + y + z = 3B. x y zAnswer: C

x, y & z are real numbers.

Is x2 + y2 + z2 > 3?


A. f(x) = x2

B. g(x) = 1/2xAnswer: E

What is x equal to ? f(g(x)) = 9.


A. 2 < x < 5B. 3 < y < 6 Answer: C

How many possible values can (x - y) assume, if x and y are integers ?


A. a > c and c < bB. c > 0Answer: E

Is (a / b) > (a+c) / (b+c)


A. January 1st of the year was a WednesdayB. The last two digits of the year (XXXX) is a multiple of 4. Answer: C

Are there 53 Wednesdays & Thursdays in this year?


A. Its boundary length is 36cmB. The area (hexagon) is 6 times the area (an equilateral triangle) formed on one of the sidesAnswer: A

Find the area of a regular hexagon


A. b is negative.B. c is positive.Answer: C

If a, b and c are integers, is (a-b+c) greater than

(a+b-c)


A. a @ b is not necessarily equal to b @ a for two integers a and b, and 1 @ 2 = 3B. a @ b = (a + b)/a for a not equal to 0Answer: B

What is 2 @ 3


A. The AM of X and Y = a and the GM of X and Y is also = a.B. (X/Y) = R and (X-Y) = DAnswer: E

What are values of the real numbers X and Y?


Is (x – y) > (r – s)

A. x > r and y < sB. xy < rsAnswer: A


A. “a” is less than 3B. The sum of “a” and “b” is 18Answer: B

Are both “a” & “b” positive? Both “a” & “b”

are less than 10.


A. The number is divisible by 11.B. The number is divisible by 7.Answer: A

What is the integer R in the number 25R397 ?


A. a > 2bB. a b + 3Answer: A

If a & b are both positive numbers, then which is

larger, 2a or 3b?


A. k < 1B. k < - 2Answer: B

Is k2 + k – 2 > 0


A. A(1) is an even integer.B. The sum of the first 10 terms is even.Answer: A

A series of numbers is A(n) = A(n-1) + 2. Is

A(10) an even integer?


A. x is greater than 1.B. x is less than y. Answer: C

Is 1/x greater than 1/y ?


A. The fifth term in S is 47.B. Each term in S is obtained by multiplying the preceding term by 4 and adding 1.Answer: C

What is 1000th term in sequence S?


A. The cube of x is less than the cube of y.B. The square of x is less than the square of y. Answer: A

If x and y are integers, is x < y?


A. a b c 0B. a2, b2, c2 are in A.PAnswer: C

a, b, c are positive numbers. Is 1/(b+c),

1/(c+a), 1/(a+b) in AP?


A. The smallest of the three is equal to the sum of the integersB. The sum of the 3 integers is < than the average of the 3Answer: A

What is the sum of 3 consecutive odd integers?


A. 2a + 3b = 11a + 2b B. The two digit number is a multiple of 19Answer: A

What is the 2 digit number ab? The number is

greater than 9.


A. The common ratio is > 0B. The common ratio is > 1Answer: E

Is the geometric progression an increasing

one?


A. The time was between 4’O clock and 5’O clock.B. The arms of the clock were 135o apart.Answer: C

What was the time when X arrived?


A. AB is a multiple of 4.B. The sum of its digits is divisible by 9.Answer: E

What is the two digit number AB?


A. y - x = 2B. z - y = 2Answer: C

x, y and z are positive odd integers. Is x + z

divisible by 4?


A. n + 0.001 > 3 B. n + 0.0001 < 3Answer: A

If 2 < n < 3, is the hundred’s digit of the

decimal form of n equal to 9?


A. One weighs 12 pounds.B. One weighs 24 pounds.Answer: B

Three packages together weigh 48 pounds. What is the weight of the heaviest

package?


A. 12% of the customers in the shop today purchased it. B. The shop had 480 customers today. Answer: E

How many soaps did the shop sell today?


A. 4x < 5y B. x < 0 Answer: B

If xy = 0, is x > y?


A. x2 + y2 = 65 B. x = 7 and y = 7 Answer: D

Is ( x + y)2 + (x - y)2 = 130?


A. 50 < x < 70B. y = 5Answer: B

x and y are positive integers & x/y is a

decimal, is the decimal a terminating decimal?

data sufficiency

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