Aptitude Questions and Answers

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A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is :

500

1000

1500

2000

correct answer c

Let the total profit be Rs. 100.

After paying to charity, A's share = $(95\times \frac{3}{5})$ = Rs. 57.

If A's share is Rs. 57, total profit = Rs. 100.

If A's share is Rs. 855, total profit = $(\frac{100}{57}\times 855)$ = 1500.

What annual installment will discharge a debt of Rs 1092 due in 3 years at 12% simple interest?

325

545

560

550

correct answer a

Let each instalment be Rs.x .

Then, `[x + (x ** 12 ** 1)/100] + [ x + (x **12 ** 2)/100] + x =1092`

$\Leftrightarrow$ `( (28x)/25 ) + ( (31x)/25 ) + x = 1092`

$\Leftrightarrow$ `(28x + 31x + 25x) = (1092 ** 25)`

$\Leftrightarrow$ `x = (1092 ** 25)/84= 325`

$\therefore$ Each instalment = Rs. 325

A mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.

correct answer a

Let the quantity of alcohol and water be 4x litres and 3x litres respectively

$\frac{4x}{(3x+5)}=\frac{4}{5}$

20x = 4(3x+5)

8x = 20

x = 2.5

Quantity of alcohol = (4 x 2.5) litres = 10 litres.

The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?

correct answer a

(A+B) - (B+C) = 12

$\Rightarrow$ A - C = 12.

$\Rightarrow$ C is younger than A by 12 years.

When 0.36 is written in simplest form, the sum of the numerator and the denominator is :

correct answer b

0.36 = 36/100 = 9/25.

Sum of the numerator and denominator is 9 + 25 = 34

Jack takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?

correct answer b

Average speed = total distance / total time

Total distance covered = 6 miles; total time = 45 minutes = 0.75 hours

Average speed = 6/ 0.75 = 8 miles/hour

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

123

127

235

305

correct answer b

Required number = H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

The interger value of x at which inequality fails,

3x + 12 18

-7

-4

correct answer d

For x=2, 3(2)+ 12 = 0

6+12=18 so 18<18 is not possible since 18=18 and hence inequality fails

If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

Sunday

Saturday

Tuesday

Wednesday

correct answer a

The year 2004 is a leap year. So, it has 2 odd days.

But, Feb 2004 not included because we are calculating from March 2004 to March 2005.

So it has 1 odd day only.

The day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.

Given that, 6th March, 2005 is Monday.

6th March, 2004 is Sunday (1 day before to 6th March, 2005).

The maximum gap between two successive leap year is?

correct answer b

This can be illustrated with an example.

Ex: 1896 is a leap year.The next leap year comes in 1904 (1900 is not a leap year).

To eliminate this error, the Gregorian calendar stipulates that a year that is evenly divisible by 100 (for example, 1900) is a leap year only if it is also evenly divisible by 400. This is because they are evenly divisible by 100 but not by 400.

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