Practice Questions on Algebra
Aptitude Questions and Answers

Moderate Algebra Question - 6

Q6.

The digits of a three number are in $AP$. If the number is subtracted from the number formed by reversing its digits, the result is 396. What could be the original number?

A.

654

B.

135

C.

852

D.

753

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Common Information

The cost of fuel for running the engine of an army tank is proportional to the square of the speed and Rs. 64/hour for a speed of 16 kmph. Other costs amount to Rs. 400/hour. The tank has to make a journey of 400 km at a constant speed.

Moderate Algebra Question - 7

Q7.

Common Information Question: 1/2

The most economical speed for this January is:

A.

10 kmph

B.

20 kmph

C.

35 kmph

D.

40 kmph

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Moderate Algebra Question - 8

Q8.

Common Information Question: 2/2

The total cost for the journey at this most economical speed is:

A.

Rs 6,000

B.

Rs 8,000

C.

Rs 10,000

D.

Rs 11,000

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Moderate Algebra Question - 9

Q9.

$A$ and $B$ throws one dice for a stake of Rs 11, which is to be won by the player who first throws a six. The game ends when the stake is won by $A$ or $B$. If $A$ has the first throw, then what are their respective expectations?

A.

5 and 6

B.

6 and 5

C.

11 and 10

D.

10 and 11

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Moderate Algebra Question - 10

Q10.

On January 1, 2004 two new societies $s_1$ and $s_2$ are formed, each $n$ numbers. On the first day of each subsequent month, $s_1$ adds $b$ members while $s_2$ multiples its current numbers by a constant factor $r$. Both the societies have the same number of members on July 2, 2004. If $b = 10.5n$, what is the value of $r$?

A.

2

B.

1.9

C.

1.8

D.

1.7

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