List of top Questions asked in XAT- 2006

Each of the following questions is followed by two statements, I and II. Answer as follows:
Mark option (1) if the question can be answered using statement I alone, but not using statement II alone.
Mark option (2) if the question can be answered using statement II alone, but not using statement I alone.
Mark option (3) if the question can be answered using both statements I and II together, but not by using either statement alone.
Mark option (4) if the question cannot be answered even using both statements I and II together.

What is the value of \(x\)?
I. \( \log_2 2^x = x \)
II. \( \log_3 x = 0 \)

Directions for questions 41 to 44: Ghosh Babu's new interest is psychology. He has identified various personality patterns and given them names. These personality patterns are inter-related as follows:
- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.

Which of the following cannot be said to be true or false?
I. No Belissima or Cassandra is an Elissima.
II. Some Cassandras are Belissimas but not Alessandras.
III. No Belissima is both an Alessandra and a Desdemona.

Directions for questions 41 to 44: Ghosh Babu's new interest is psychology. He has identified various personality patterns and given them names. These personality patterns are inter-related as follows:
- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are Elissimas.

Which of the following is true?

The product of three consecutive numbers is 2730. What is the sum of the three numbers?

N = \((A7A)^{17}\) is a perfect square, where A7A is the three digit number with hundreds digit A, tens digit 7 and units digit A. Which of the following statements is FALSE?

N = abcd is a four digit number and M = xyz is a three digit number. \(N \times M\) is:

A mother bought three shirts of the same colour but of different sizes, one each for her three sons. All three shirts were kept together in a box in a dark room. Each of the three boys took one shirt at random from the box. What is the probability that none of the boys ends up with his own shirt?

Which of the following is the lowest?

N = aebfcg is a six digit number where a, b, c, e, f, g are its six digits. If \(a = e\), \(b = f\) and \(c = g\), which of the given statements is NOT correct?

Sum of all prime numbers less than 50 is

Let x, y and z be three positive integers satisfying \(y = 3x\), \(z = 4x\), and \(x + y + z = 3k\), where k is an integer. Which of the following is the smallest value of k for which x, y and z are even numbers?

\(a\), \(b\) and \(c\) are the sides of a triangle. The equations \(ax^2 + bx + c = 0\) and \(3x^2 + 4x + 5 = 0\) have a common root. Then angle C is equal to

N = abc is a three-digit number, where a, b and c are its digits. N is a perfect square of an even number. To find N, which of the following information(s) is/are necessary and sufficient?

A. a, b, c are three consecutive digits but not in order.
B. N is divisible by 18.
C. The units digit of \(N^2\) is c.

The fiscal policy of India is formulated by the

When \((629)^{24}\) is divided by 21, find the remainder.

If \(\dfrac{a-b}{a+b} = \dfrac{(a-b)^3}{(a+b)^3}\), what set(s) of \(a\) and \(b\) is/are correct?

A. \(S_1 = \{a = \text{any real value}, b = 0\}\)
B. \(S_2 = \{a = 0, b = \text{any real value}\}\)
C. \(S_3 = \{a = 0, b = 0\}\)

A spherical balloon is inflated and its radius is increasing at 4 cm/second. At what rate would the volume be increasing when its radius is 14 cm?

CII is a

The monetary policy of India is formulated by the

Disinvestments refers to

During which among the following plan period Indian GDP had registered the highest growth?

At which among the following prices, Indian GDP is estimated by the Central Statistical Organisation?
(A) Constant prices
(B) Current prices
(C) Historical prices
Choose the answer from the following choices:

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