Answer: D) Rs. 112.5 Explanation: Manju borrows Rs. 5000 for 2 years at 4% p.a. simple interest  She also lends it at 6 1⁄4% p.a for 2 years  => Total Gain = 6 1/4% − 4% = 2 1/4% So her gain in the transaction for 1 year = The simple interest she gets for Rs.5000 for 1 year at 2 1⁄4% per annum = PTR100=5000×94×1100 = Rs. 112.5/ year.

Answer: B) 37.5 Explanation: Angle between hands of a clock   When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock   => 30H-M5+M2 degrees   Here H = 4, M = 15 and the minute hand is behind the hour hand.   Hence the angle    = 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees

Answer: B) always less than either of the original fractions Explanation: We can easily Answer this by taking some values.   The question states that the two fractions, each have values between 0 and 1.Let us say one of the fraction is 1/2 and the other fraction is 1/3 .The product of the two fractions is 1/2 x 1/3 = 1/6 . is lesser than both 1/2  and 1/3 .So, the correct answer is that the product is always less than either of the original fractions.

Answer: A) 2000 Explanation: Let 's' be the number of small packets and 'b' the number of large packets sold on that day.   Therefore, s + b = 5000 ... eqn (1)   Each small packet was sold for Rs.150.Therefore, 's' small packets would have fetched Rs.150s.   Each large packets was sold for Rs.250.Therefore, 'b' large packets would have fetched Rs.250b.   Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)   Or 150s + 250b = 10,50,000 ... eqn (2)   Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)   Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000Or b = 3000   We know that s + b = 5000So, s = 5000 - b = 5000 - 3000 = 2000.   2000 small packets were sold.

Answer: D) 50% Explanation: Let the salary of Karthik 2 years ago be Rs.100So, Lucky's salary 2 years ago was Rs.50   Karthik's present salary has seen two 10 percent increases. So as Lucky's salary. So, Karthik's salary 1 year ago = 100 + 10% of 100 = 100 + 10 = 110.Karthik's present salary = 110 + 10% of 110 = 110 + 11 = 121.   Lucky's salary 1 year ago = 50 + 10% of 50 = 50 + 5 = 55Lucky's present salary = 55 + 10% of 55 = 55 + 5.5 = 60.5   Lucky's present salary of 60.5 = 50% of Karthik's present salary of 121.

Answer: C) 9 Explanation: The mother completes the job in x hours.So, the daughter will take 2x hours to complete the same job.   In an hour, the mother will complete 1/x of the total job.In an hour, the daughter will complete 1/2x of the total job.   So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.i.e., in an hour they will complete 3/2x of the job.   The question states that they complete the entire task in 6 hours if they work together.i.e., they complete 1/6 th of the task in an hour.   Equating the two information, we get 3/2x = 1/6By solving for x, we get 2x = 18 or x = 9.   The mother takes 9 hours to complete the job.

Answer: D) 1000(p - q) + qr Explanation: We need to find the total cost to send r messsages, r > 1000. The first 1000 messsages will cost Rs.p each (Or)  The total cost of first 1000 messsages = Rs.1000p The remaining (r - 1000) messsages will cost Rs.q each (Or) The cost of the (r - 1000) = Rs.(r - 1000)y   Therefore, total cost = 1000p + rq - 1000q = 1000(p - q) + qr

Answer: A) 5 Explanation: The following arrangements satisfy all 3 conditions. Arrangement 1: 3 books in a row; 12 rows. Arrangement 2: 4 books in a row; 9 rows.Arrangement 3: 6 books in a row; 6 rows.Arrangement 4: 9 books in a row; 4 rows.Arrangement 5: 12 books in a row; 3 rows.   Therefore, the possible arrangements are 5.