Aptitudes

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----Explanation for aptitudes are listed below ----  

10 june 11

1.  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: A. Rs. 1425 B. Rs. 1500 C. Rs. 1537.50 D. Rs. 1576 Answer & Explanation Answer: Option B Explanation: Let the total profit be Rs. 100. After paying to charity, A's share = Rs. 95 x 3 = Rs. 57. 5 If A's share is Rs. 57, total profit = Rs. 100. If A's share Rs. 855, total profit = 100 x 855 = 1500. 57

2.	Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
	A. 12 B. 14 C. 27 D. 53 Answer & Explanation Answer: Option B Explanation: In this series, each number is repeated, then 13 is subtracted to arrive at the next number.

3.If one-third of one-fourth of a number is 15, then three-tenth of that number is:

A. 35 B. 36 C. 45 D. 54 Answer & Explanation Answer: Option D Explanation: Let the number be x. Then, 1 of 1 of x = 15      x = 15 x 12 = 180. 3 4 So, required number = 3 x 180 = 54. 10

2 june 11

1.	A man completes  of a job in 10 days. At this rate, how many more days will it takes him to finish the job?
	A. 5 B. 6 C. 7 D. 7 1 2 Answer & Explanation Answer: Option B Explanation: Work done = 5 8 Balance work = 1 - 5 = 3 8 8 Let the required number of days be x. Then, 5 : 3 = :: 10 : x      5 x x = 3 x 10 8 8 8 8  x = 3 x 10 x 8 8 5  x = 6.

2.	In the series 2, 6, 18, 54, ...... what will be the 8th term ?
	A. 4370 B. 4374 C. 7443 D. 7434 Answer & Explanation Answer: Option B Explanation: Clearly, 2 x 3 = 6, 6 x 3 = 18, 18 x 3 = 54,..... So, the series is a G.P. in which a = 2, r = 3. Therefore 8th term = ar8-1 = ar7 = 2 x 37 = (2 x 2187) = 4374.

3. Finf the next number??     3, 10, 101,?

A. 10101 B. 10201 C. 10202 D. 11012 Answer & Explanation Answer: Option C Explanation: Each term in the series is obtained by adding 1 to the square of the preceding term. So, missing term = (101)2 + 1 = 10202.

3.	If the two strings are identical, then strcmp() function returns
	A. -1 B. 1 C. 0 D. Yes Answer & Explanation Answer: Option C Explanation: Declaration: strcmp(const char *s1, const char*s2); The strcmp return an int value that is if s1 < s2 returns a value < 0 if s1 == s2 returns 0 if s1 > s2 returns a value > 0

1 july 11

1.	Arrange the words given below in a meaningful sequence. 1. Key 2. Door 3. Lock 4. Room 5. Switch on
	A. 5, 1, 2, 4, 3 B. 4, 2, 1, 5, 3 C. 1, 3, 2, 4, 5 D. 1, 2, 3, 5, 4 Answer & Explanation Answer: Option C Explanation: The correct order is : Key Lock Door Room Switch on 1 3 2 4 5

2.	harvest
	A. autumn B. stockpile C. tractor D. crop Answer & Explanation Answer: Option D Explanation: To harvest something, one must have a crop, which is the essential element for this item. Autumn (choice a) is not the only time crops are harvested. There may not be enough of a crop to stockpile (choice b), and you can harvest crops without a tractor (choice c).

3.

What was the day of the week on 28th May, 2006?

A. Thursday B. Friday C. Saturday D. Sunday Answer & Explanation Answer: Option D Explanation: 28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006) Odd days in 1600 years = 0 Odd days in 400 years = 0 5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2)  6 odd days Jan. Feb. March April May (31 + 28 + 31 + 30 + 28 ) = 148 days  148 days = (21 weeks + 1 day)  1 odd day. Total number of odd days = (0 + 0 + 6 + 1) = 7  0 odd day. Given day is Sunday.

27 june 11

1)	If x and y are the two digits of the number 653 xy such that this number is divisible by 80, then x + y = ?
	A. 2 or 6 B. 4 C. 4 or 8 D. 8 E. None of these Answer & Explanation Answer: Option A Explanation: 80 = 2 x 5 x 8 Since 653 xy is divisible by 2 and 5 both, so y = 0. Now, 653 x0 is divisible by 8, so 3x0 should be divisible by 8. This happens when x = 2 or 6. x + y = (2 + 0) = 2     [or]     x + y = (6 + 0) = 6.

2.	In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ?
	A. 0 B. 12 C. 13 D. 20 Answer & Explanation Answer: Option D Explanation: Number = (12 x 35) Correct Quotient = 420 ÷ 21 = 20

26 june 11

1)	On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
	A. 0 B. 1 C. 2 D. 4 Answer & Explanation Answer: Option D Explanation: Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.     x = 5k + 3     x2 = (5k + 3)2    = (25k2 + 30k + 9)    = 5(5k2 + 6k + 1) + 4 On dividing x2 by 5, we get 4 as remainder.

2)	n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
	A. 3 B. 2 C. 1 D. 0 Answer & Explanation Answer: Option B Explanation: Let n = 4q + 3. Then 2n = 8q + 6   = 4(2q + 1 ) + 2. Thus, when 2n is divided by 4, the remainder is 2.

25 june 11

1.	If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:
	A. 2 B. 5 C. 6 D. 7 E. None of these Answer & Explanation Answer: Option D Explanation: Sum of digits = (4 + 8 + 1 + x + 6 + 7 + 3) = (29 + x), which must be divisible by 9.    x = 7.

2.	If n is a natural number, then (6n2 + 6n) is always divisible by:
	A. 6 only B. 6 and 12 both C. 12 only D. by 18 only Answer & Explanation Answer: Option B Explanation: (6n2 + 6n) = 6n(n + 1), which is always divisible by 6 and 12 both, since n(n + 1) is always even.

24 june 11

1.	The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
	A. 240 B. 270 C. 295 D. 360

    Answer: Option B

Explanation:

Let the smaller number be x. Then larger number = (x + 1365).

 x + 1365 = 6x + 15

 5x = 1350

 x = 270

Smaller number = 270.  

2.	What is the unit digit in {(6374)1793 x (625)317 x (341491)}?
	A. 0 B. 2 C. 3 D. 5

     Answer: Option A

Explanation:

Unit digit in (6374)¹⁷⁹³ = Unit digint in (4)¹⁷⁹³

    = Unit digit in [(4²)⁸⁹⁶ x 4]

    = Unit digit in (6 x 4) = 4

Unit digit in (625)³¹⁷ = Unit digit in (5)³¹⁷ = 5

Unit digit in (341)⁴⁹¹ = Unit digit in (1)⁴⁹¹ = 1

Required digit = Unit digit in (4 x 5 x 1) = 0.