This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Fresh day Kutty, let's solve. Here are the solutions to the problems: 27. 6.68 × 6.4 Step 1: Multiply the numbers. 6.68 × 6.4 = 42.752 The correct option is (c). 42.752 28. If A:B=2:3; B:C=4:5 then A:B:C=? Step 1: Write the given ratios. A:B = 2:3 B:C = 4:5 Step 2: Make the value of B common in both ratios. The least common multiple of 3 and 4 is 12. Multiply the first ratio by 4: A:B = (2 × 4) : (3 × 4) = 8:12 Multiply the second ratio by 3: B:C = (4 × 3) : (5 × 3) = 12:15 Step 3: Combine the ratios. A:B:C = 8:12:15 The correct option is (c). 8:12:15 29. If total salary of A and B is Rs.45000 and their ratio of salary is 7:3, then find the salary of A. Step 1: Let the salaries of A and B be 7x and 3x respectively. Step 2: The total salary is Rs. 45000. 7x + 3x = 45000 10x = 45000 x = (45000)/(10) x = 4500 Step 3: Find the salary of A. Salary of A = 7x = 7 × 4500 = 31500 The correct option is (a). Rs. 31500 30. 9999 + 3333 - 6666 = ? Step 1: Perform the addition. 9999 + 3333 = 13332 Step 2: Perform the subtraction. 13332 - 6666 = 6666 The correct option is (c). 6666 31. 5978 + 6134 + 7014 = ? Step 1: Add the numbers. 5978 + 6134 + 7014 = 19126 The correct option is (b). 19126 32. Find the average of 25+35+45+55+65+75+85+95. Step 1: Sum the numbers. 25+35+45+55+65+75+85+95 = 460 Step 2: Count the number of values. There are 8 values. Step 3: Calculate the average. Average = Sum of valuesNumber of values Average = (460)/(8) Average = 57.5 The given options are (a) 70, (b) 60, (c) 80, (d) 100. None of the options match the calculated average. However, the option (b) 60 is marked as correct in the image. If we assume there might be a typo in the question or options, and the closest integer is desired, 60 is not the closest. Let's recheck the sum. 25+35=60 45+55=100 65+75=140 85+95=180 60+100+140+180 = 480. Let's re-sum carefully: 25+35+45+55+65+75+85+95 = 480. Step 3: Calculate the average with the corrected sum. Average = (480)/(8) Average = 60 The correct option is (b). 60 33. Mr. X bought a car for Rs.1 lakh and sold it at 25% loss. What is the selling price of the car? Step 1: Identify the cost price (CP). CP = Rs. 1 lakh = Rs. 100,000 Step 2: Calculate the loss amount. Loss = 25\% of CP = 0.25 × 100,000 = Rs. 25,000 Step 3: Calculate the selling price (SP). SP = CP - Loss SP = 100,000 - 25,000 = Rs. 75,000 The correct option is (c). Rs. 75,000 34. The distance between TPJ and MS is 450 km. The distance is covered by a train in 5 hours. What is the distance covered in 1 hour. Step 1: Calculate the speed of the train. Speed = DistanceTime Speed = 450 km5 hours Speed = 90 km/hour Step 2: The distance covered in 1 hour is equal to the speed. Distance in 1 hour = 90 km The correct option is (b). 90 km 35. 625 divided by 25 + 225 divided by 15 + 900 divided by 30 = ? Step 1: Perform the divisions according to the order of operations. 625 ÷ 25 = 25 225 ÷ 15 = 15 900 ÷ 30 = 30 Step 2: Perform the additions. 25 + 15 + 30 = 70 The correct option is (d). 70 36. 3, 6, 9, 15, 24, 39, 63, \_. Step 1: Analyze the pattern. This is a Fibonacci-like sequence where each term is the sum of the two preceding terms. 3+6=9 6+9=15 9+15=24 15+24=39 24+39=63 Step 2: Find the next term. 39+63=102 The correct option is (a). 102 37. What is 50% of 75% of 75? Step 1: Convert percentages to decimals. 50\% = 0.50 75\% = 0.75 Step 2: Calculate 75% of 75. 0.75 × 75 = 56.25 Step 3: Calculate 50% of the result from Step 2. 0.50 × 56.25 = 28.125 The correct option is (b). 28.125 38. Mr.X 's monthly salary is 28500/- His monthly expenses is 24,000/-. He deposits Rs.3500 per month in a savings account. What is the left over money in his hand at the end of one year? Step 1: Calculate total monthly deductions. Total monthly deductions = Monthly expenses + Monthly savings deposit Total monthly deductions = 24000 + 3500 = Rs. 27500 Step 2: Calculate monthly money left in hand. Monthly money left = Monthly salary - Total monthly deductions Monthly money left = 28500 - 27500 = Rs. 1000 Step 3: Calculate money left in hand at the end of one year (12 months). Annual money left = Monthly money left × 12 Annual money left = 1000 × 12 = Rs. 12000 The correct option is (b). Rs. 12000 39. ACE, FHJ, KMO, PRT, Find next three letters? Step 1: Analyze the pattern of the first letters of each group. A (1st letter) +5 F (6th letter) +5 K (11th letter) +5 P (16th letter) +5 U (21st letter) Step 2: Analyze the pattern of the second letters of each group. C (3rd letter) +5 H (8th letter) +5 M (13th letter) +5 R (18th letter) +5 W (23rd letter) Step 3: Analyze the pattern of the third letters of each group. E (5th letter) +5 J (10th letter) +5 O (15th letter) +5 T (20th letter) +5 Y (25th letter) Step 4: Combine the next letters. The next three letters are UWY. The correct option is (c). UWY Send me the next one 📸