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Placement Questions & Answers :: IBM

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41. The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:

Answer: Rs. 1325

Explanation:

Here is no explanation for this answer

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42. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

Answer: 28 m

Explanation:

Here is no explanation for this answer

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43. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

Answer: 21/46

Explanation:

Let's assume the sample space = S
and Event of selecting 1 girl and 2 boys = E

So, n(S) = Number ways of selecting 3 students out of 25 = 25C3
=> (25 * 24 * 23)/(3 * 2 * 1) = 2300.
n(E) = (10C1 * 15C2)
= 10 * [(15 * 14)/(2 * 1)] = 1050.
P(E) = n(E)/n(S) = 1050/2300 = 21/46.

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44. The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

Answer: Rs. 1020

Explanation:

Here is no explanation for this answer

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45. If \(3\sqrt{5} + \sqrt{125}\) = 17.88, then what will be the value of \(\sqrt{80} + 6\sqrt{5}\)

Answer: 22.35

Explanation:

\(3\sqrt{5} + \sqrt{125}\) = 17.88
=> \(3\sqrt{5} + \sqrt{25}*\sqrt{5}\) = 17.88
=> \(3\sqrt{5} + 5\sqrt{5}\) =17.88
=> \(8\sqrt{5}\) = 17.88 => \(\sqrt{5}\) = 2.235

\(\sqrt{80} + 6\sqrt{5}\)
=> \(\sqrt{16} * \sqrt{5} + 6\sqrt{5}\)
=> \(4\sqrt{5} + 6\sqrt{5}\)
=> \(10\sqrt{5)\)

So 10 * 2.235 = 22.35

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46. A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

Answer: Rs. 8925

Explanation:

Here is no explanation for this answer

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47. A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:

Answer: Rs. 15

Explanation:

Here is no explanation for this answer

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48. What is the difference between the compound interests on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?

Answer: Rs. 2.04

Explanation:

Here is no explanation for this answer

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49. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

Answer: 10

Explanation:

Here is no explanation for this answer

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50. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30 with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60. What is the distance between the base of the tower and the point P ?

Answer: Data inadequate

Explanation:

Here is no explanation for this answer

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