MAT 2003 DAS Slot 1 Questions & Answer Key

Number of emergencies attended by the 6 substations was the samein the months of

Which of the following substations showed a greater increase in the number of emergencies attended in August as compared to July?

Which substation attended to the maximum number of complaints in the given period?

Which two months aggregated over 36%of the total number of emergencies in the six-month period?

How much more money would be paid on a loan of Rs. 20,00,000 taken out over 20 years compared to the same loan taken overa period of 15 years?

What is the total amount repaid over 25 years on a loan of Rs. 15,00,000?

The monthly repayment on o loan of Rs. 15,00,000 over 20 years is reduced to Rs. 12500. By how much would this reduce the total amount on the loan over the full period?

Instead of taking a loan of Rs. 10,00,000 with o repayment period of 15 years, the society proposesto take a loan of Rs. 15,00,000 to be paid back in 10 years to provide for a generator set. What is the cumulative financial impact ?

What is the average difference in the relative value of the six commodities in 2003 compared to 1999?

Which value showed the greatest amount of change in 1999 compared to 2003?

Which commodity showedthe least variatron in value over the period 1999-2003?

For which commodities is there a clearly discernible trend of decreasing relative value between 1999 - 2003?

In which two months were the same amountof building society mortgage advances made?

In which month was there the greatest excess of building society net receipts over mortgage advances?

What was the ratio of the society mortgage advancesto net receipts in April 2001?

Assume that, by the end of May 2001, the building society net receipts and mortgage advances had fallen by 50% and 25% respectively, compared to the figures for April 2001. What would the building society turnover (obtained by adding net receipts to mortgage advances) have been for May 2001 in Rs. lakh?

What was the total number of new employees(female and male)in all the companies in 1999 & 2000?

What is the average number of new female employees per companyin 2001 ?

Of the total number of the new male employees in all the five companies in 2002, what percentage did companies B, C and D employ collectively ?

What was the ratio of the new female employees to new male employees in Company in 2000?

Near about 25% of the funding arrangement is through

The angle of the segment formed at the centre of the pie chart, representing Cess/Market borrowing is approximately

If the toll is to be collected through an outsourced agency by allowing a maximum of 10% commission, then how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs. 1690 Crore?

The maximum percentage increasein foreign tourist arrivals during the given period has been in

The estimated foreign exchange earnings have beensteadily increasing from the period

"As a result of September 11, 2001 incidents in the United States, the tourist arrivals dropped by about 10 percent, when compared with the previous year."

The highest numberof delayed projects during the given period wasin the year

The highest incidents of cost over-run during the given period has been in the year

The number of delayed projects have been the samein the years

The percentage cost over-runs have been the samein the years 2000 and 2001. It implies that

For an equation \(ax^2 + bx + c = 0\), its roots are

I. Real and different if \(b^2 > 4ac.\)

II. Imaginary and equal if \(b^2 < 4ac.\)

For on equation \(ax^2 + bx^2 + cx + d = 0,\) if its roots are \(\alpha, \beta  and  \gamma\), then

I. \(\alpha + \beta + \gamma = \frac{c}{a}\)

II. \(\alpha  \beta  \gamma = d\)

For a differential expression

I. \(\frac{d}{dx} (\sin^2 (3x)) = 2 \cos (3x)\)

II. \(\frac{d}{dx} (a^u) = a^u (\log a) \frac{du}{dx}\)

If \(y = 2x\), then

I. \(\sin y = \frac{2 \tan x}{1 + \tan^2 x}\)

II. \(\cos y = \frac{2 \tan x}{1 - \tan^2 x}\)

IF \(z = x + iy\), where \(i = (-1)\), then

I. \(z = 0,  when  x = 0, y\) ≠ \(20\)

II. \(If  a + bi = c + di,  then  a = c, b = d\)

There are three sets \(A, B  and  C\). Find \(A \cap (B \cap C)\)

I. \(A \cup B  and  A \cup C\) are known.

II. \(A \cap B  and  A \cap C\) are known

A moving train moves Y meters in t seconds. Find its acceleration.

I. \(Y = t^3 - 4t^2 + 16t - 2\)

II. Velocity at that moment was 20 m/sec.

Find the sum or a Geometric series 1, 3, 9, 27, 81 ......... for N terms.
I. \(N^{th}\) term is 729.
II. Next term after the \(N^{th}\) term is thrice of it.

Find \(^{25}C_{10}\).

I. \(^{24}C_{14} = a\)

II. \(^{24}C_{9} = b\)

Meena wants to Find \(\log_{70} 96\).

I. She knows the value of \(\log_{96} 70\)

II. She knows the value of \(\log_{10} 70\)