List of top Questions asked in XAT- 2008

Questions 43 and 44 are based on the following instructions: each question gives a statement followed by three conclusions, I, II and III. Pick the option that tells you which of the three conclusions can be derived from the statement alone.

Statement: \(A_0, A_1, A_2, \ldots\) is a sequence of numbers with \(A_0 = 1\), \(A_1 = 3\), and \(A_t = (t+1)A_{t-1} - tA_{t-2}\) for \(t = 2, 3, 4, \ldots\)

Conclusion I: \(A_8 = 77\)
Conclusion II: \(A_{10} = 121\)
Conclusion III: \(A_{12} = 145\)

The table below shows the drop-out rates, in percentage, at the Primary level (Classes I-V), the Elementary level (Classes I-VIII), and the Secondary level (Classes I-X) in India, separately for boys, girls, and the total, for the years 1996-97 to 2004-05.

Gender bias is defined as the disproportion between the drop-out rate of boys and the drop-out rate of girls, at a given level.

Suppose that every year, 7,000 students enter Class I, of which 45% are boys. What was the average number, as a whole number, of girls who stayed on in the education system beyond elementary classes, over the years 1996-97 to 2004-05?

The table below shows the drop-out rates, in percentage, at the Primary level (Classes I-V), the Elementary level (Classes I-VIII), and the Secondary level (Classes I-X) in India, separately for boys, girls, and the total, for the years 1996-97 to 2004-05.

Gender bias is defined as the disproportion between the drop-out rate of boys and the drop-out rate of girls, at a given level.

Suppose the total number of students was 1000 in 1996-97, and this number increased by 1000 every year up to 2004-05, so 1996-97 had 1000 students, 1997-98 had 2000, and so on up to 2004-05 with 9000. What was the approximate total number of drop-outs from primary classes, added up over 1996-97 to 2004-05?

The table below shows the drop-out rates, in percentage, at the Primary level (Classes I-V), the Elementary level (Classes I-VIII), and the Secondary level (Classes I-X) in India, separately for boys, girls, and the total, for the years 1996-97 to 2004-05.

Gender bias is defined as the disproportion between the drop-out rate of boys and the drop-out rate of girls, at a given level.

Assume that every year, girls make up 55% of the students entering school, so boys make up 45%. Taking the number of students entering as the same fixed number each year, in which of the following years, as compared to the year before it, would the number of boys who reach secondary education be more than the number of girls who reach secondary education?

The following line graph shows the sales and cost of goods sold (in rupees) for XYZ Co. over 10 months, from Month 1 to Month 10.

Sales growth in a month is the rise in sales compared to the previous month.

In which month did the company see the maximum growth in sales?

Consider a sequence -6, -12, 48, 24, -30, -36, 42, ... continuing in the same style. If the sum of the first n terms of the sequence is 132, what is the value of n?

The following line graph shows the sales and cost of goods sold (in rupees) for XYZ Co. over 10 months, from Month 1 to Month 10.

What were the average sales and average cost of goods sold, in rupees, for XYZ Co. over the ten months?

The table below shows the drop-out rates, in percentage, at the Primary level (Classes I-V), the Elementary level (Classes I-VIII), and the Secondary level (Classes I-X) in India, separately for boys, girls, and the total, for the years 1996-97 to 2004-05.

Gender bias is defined as the disproportion between the drop-out rate of boys and the drop-out rate of girls, at a given level.

Based on the data above, choose the true statement from the following.

The following line graph shows the sales and cost of goods sold (in rupees) for XYZ Co. over 10 months, from Month 1 to Month 10.

Profit in a given month is sales minus cost of goods sold for that month.

In which month did the company earn the maximum profit?

The coordinates of P and Q are (0, 4) and (a, 6), respectively, where a is a non-zero integer. R is the midpoint of PQ. The perpendicular bisector of PQ cuts the X-axis at the point S(b, 0). For how many integer values of a is b also an integer?

Answer the following questions on the basis of the data given below.

Jamshedpur Electronics sells Television sets and IPods through three retail outlets located in Bistupur, Sakchi and Kadma. The table below gives the sales figures (in Rupees thousand) of these two products for the months of January, February and March.

Note: Units ordered = Units sold + Ending inventory - Beginning inventory. All other things remain constant, and all Rupee figures are in thousands.

In the period from January to March, Jamshedpur Electronics ordered 7560 units of IPods across all three areas put together. The ending inventory was 6120 units and the beginning inventory was 5760 units. What was the unit sales price of IPods during this period (in Rupees thousand)?

Answer the following questions on the basis of the data given below.

Jamshedpur Electronics sells Television sets and IPods through three retail outlets located in Bistupur, Sakchi and Kadma. The table below gives the sales figures (in Rupees thousand) of these two products for the months of January, February and March.

Note: Units ordered = Units sold + Ending inventory - Beginning inventory. All other things remain constant, and all Rupee figures are in thousands.

For Jamshedpur Electronics, the beginning inventory in January was 720 units for Television and 1800 units for IPods, and the ending inventory in January was 840 units for Television and 1920 units for IPods.

Additional data: in the month of February, 1050 units of Television and 2400 units of IPods were sold across all three areas put together.

How many units of Television and IPods, respectively, did Jamshedpur Electronics order for the month of January?

Answer the following questions on the basis of the data given below.

Jamshedpur Electronics sells Television sets and IPods through three retail outlets located in Bistupur, Sakchi and Kadma. The table below gives the sales figures (in Rupees thousand) of these two products for the months of January, February and March.

Note: Units ordered = Units sold + Ending inventory - Beginning inventory. All other things remain constant, and all Rupee figures are in thousands.

Ten percent of the sales value of IPods and twenty percent of the sales value of Television contribute to the profits of Jamshedpur Electronics. How much profit did the company earn in the month of January from Bistupur and Kadma together, from the two products combined?

Answer the following questions on the basis of the data given below.

Jamshedpur Electronics sells Television sets and IPods through three retail outlets located in Bistupur, Sakchi and Kadma. The table below gives the sales figures (in Rupees thousand) of these two products for the months of January, February and March.

Note: Units ordered = Units sold + Ending inventory - Beginning inventory. All other things remain constant, and all Rupee figures are in thousands.

What was the total value of surcharge paid, at the rate of 14% of sales value, by Jamshedpur Electronics over the period of three months?

Answer the following questions on the basis of the data given below.

Jamshedpur Electronics sells Television sets and IPods through three retail outlets located in Bistupur, Sakchi and Kadma. The table below gives the sales figures (in Rupees thousand) of these two products for the months of January, February and March.

Note: Units ordered = Units sold + Ending inventory - Beginning inventory. All other things remain constant, and all Rupee figures are in thousands.

In the period from January to March, Jamshedpur Electronics sold 3150 units of Television, starting with a beginning inventory of 2520 units and ending with an inventory of 2880 units. Profits are 25% of the cost price, uniformly. What was the value of the order placed (in Rupees thousand) by Jamshedpur Electronics during this three month period?

The number of possible real solution(ss) of \(y\) in the equation \(y^2 - 2y\cos x + 1 = 0\) is:

In a triangle \(ABC\), \(AB=3\), \(BC=4\) and \(CA=5\). Point \(D\) is the midpoint of \(AB\), point \(E\) is on segment \(AC\) and point \(F\) is on segment \(BC\). If \(AE=1.5\) and \(BF=0.5\), then \(\angle DEF =\)

If \(x>0\), then the minimum value of \[ \dfrac{\left(x+\dfrac{1}{x}\right)^6 - \left(x^6+\dfrac{1}{x^6}\right) - 2}{\left(x+\dfrac{1}{x}\right)^3 + \left(x^3+\dfrac{1}{x^3}\right)} \] is:

If \(3f(x+2)+4f\left(\dfrac{1}{x+2}\right)=4x\), \(x\neq-2\), then \(f(4)\) is:

A train left station X at A hour B minutes. It reached station Y at B hour C minutes on the same day, after travelling C hours A minutes (the clock shows time from 0 hours to 24 hours). The number of possible value(ss) of A is:

Two circles of radius \(1\) cm each touch each other at point \(P\). A third circle is drawn through the points \(A\), \(B\) and \(C\) such that \(PA\) is a diameter of the first circle, and \(BC\) (perpendicular to \(AP\)) is a diameter of the second circle. The radius of the third circle is:

If \(0 < p < 1\), then the roots of the equation \((1-p)x^2 + 4x + p = 0\) are:

A, B, C, D, E and F are six positive integers such that
\(B + C + D + E = 4A\)
\(C + F = 3A\)
\(C + D + E = 2F\)
\(F = 2D\)
\(E + F = 2C + 1\)
If \(A\) is a prime number between 12 and 20, then what is the value of \(C\)?

A, B, C, D, E and F are six positive integers such that
\(B + C + D + E = 4A\)
\(C + F = 3A\)
\(C + D + E = 2F\)
\(F = 2D\)
\(E + F = 2C + 1\)
If \(A\) is a prime number between 12 and 20, then what is the value of \(F\)?

A, B, C, D, E and F are six positive integers such that
\(B + C + D + E = 4A\)
\(C + F = 3A\)
\(C + D + E = 2F\)
\(F = 2D\)
\(E + F = 2C + 1\)
If \(A\) is a prime number between 12 and 20, then which of the following must be true?