Rationale: Odd x Odd = Odd
Odd x Even = Even
Even x Even = Even
To fulfill condition Either (A+1) or (B+1) needs to be Even
So either A or B needs to be odd
Or At Least one of them is odd.
The answer: (C)
Question: A and B are integers. The expression (A+1)(B+1) is even. What can be said about A and B?
Options:
(A) They are both even numbers.
(B) At least one of them is even
(C) At least one of them is odd.
(D) They are both odd.
(E) Nothing can be said surly on A and B
Reasoning: A = 2000(21/20)2 = 2205
Ans: (A)
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Options:
(A) 2205
(B) 8786
(C) 8275
(D) 2872
(E) 2282
Rationale: Req percentage = 11628/20400*100 = 57%
The answer: (A)
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Options:
(A) 57%
(B) 60%
(C) 90%
(D) 65%
(E) 70%
Reasoning: Largest 5 digit number is 99999
After doing 99999 88 we get remainder 31
Hence largest 5 digit number exactly divisible by 88 = 99999 - 31 = 99968
Ans: (E)
Question: Find the largest 5 digit number which is exactly divisible by 88?
Options:
(A) 98765
(B) 98907
(C) 99944
(D) 99954
(E) 99968
Rationale: 1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 81 = 9
The answer: (A)
Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Options:
(A) 9
(B) 8
(C) 5
(D) 5
(E) 4
Rationale: The total of six numbers = 6X8 = 48
The total of first 2 and last 3 numbers is = 2 X 11+3 X 4 = 34
So, the middle number is (48 - 34 ) = 14
The answer: (D)
Question: The Average of six numbers is 8. The average of the first two is 11 and the average of the last three is 4. What is the middle number?
Options:
(A) A) 15
(B) B) 8
(C) C) 6
(D) D) 14
(E) E) 9