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Quantitative Aptitude || Super Quiz 4 || 2019-20

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Question 1

If a, b, c, d are positive quantities such that a2 = b3 = c5 = d6 then logd(abc) equals

Question 2

Given log10 2 = 0.301, the value of log10 2.5 equals

Question 3

The sum of all natural numbers between 200 and 400 which are divisible 7 is

Question 4

For natural numbers N, the inequality 2N > N2 holds when

Question 5

Let X be the set of real numbers x such that (x3 – 27)/(x – 3) is well defined and equals 27. Then

Question 6

In an office with international business, there are 42 executives each of whom knows at least one of the three languages Chinese, French and German. Out of them, 14 know Chinese, 24 know French and 20 know German. Three executives know Chinese and German, two know French and German, while there is just one who knows all the three languages. Then the number of executives who know Chinese and French but not German is

Question 7

The velocity of a railway engine is 42 km/hr when no compartment is attached and the magnitude of velocity diminishes at a rate directly proportional to the square root of the number of compartments attached. If the velocity of the train carried by this engine is 24 km/hr when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is

Question 8

Let X be a two digit number such that both X and X2 end with the same digit and none of the digits in X equals zero. When the digits of X are written in the reversed order, the square of the new number so obtained has last digit as 6 and is less than 3000. Then the number of distinct possibilities for X is given by

Question 9

Which one of the following is not a tangent to the circle x2 + y2 – 8y = 48?

Question 10

If an = 2an – 1 + 1 (n = 0, 1, 2, …) and a0 = 1 then

Question 11

The sum of the infinite series 1 – 5a + 9a2 – 13a3 + 17a4 – … …, where |a| < 1, is

Question 12

The last digit of 777777 is
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Nov 15CAT & MBA