MBA Exam

There is a certain number of apples, guavas and oranges in basket. The number of each variety is more than one. The ratio of the number of apples to the number of guavas is equal to the ratio of number of guavas to the number of oranges.If the total number of fruits are 61, the find the number of guavas?

1) 16
2) 20
3) 25
4) 1

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MBA Other Question
A bag contains 9 blue cards numbered 1, …, 9 and 9 yellow cards numbered 1, …, 9. In how many ways can we choose 9 out of the 18 cards so that there are exactly 3 jugalbandis, where a jugalbandi means a blue card and a yellow card with the same number?

1) <sup>9</sup>C<sub>3</sub>× 12 × 10 × 8
2) <sup>9</sup>C<sub>3</sub> × <sup>6</sup>C<sub>3</sub> × 2<sup>3
</sup>
3) <sup>9</sup>C<sub>3</sub> × <sup>12</sup>C<sub>3
</sub>
4) <sup>9</sup>C<sub>3</sub> × <sup>6</sup>C<sub>3
</sub>
 The 23rd term and the 32nd term of a geometric progression are the number of factors of 54 and 72 respectively. What is the geometric mean of the first 54 terms of the progression?

1) 4 root3
2) 6 root2
3) 8 root3
4) 4 root6