RBI Assistant Exam 2012 Question Paper: Quantitative Aptitude

The average age of the woman and her daughter is 19 years, and the ratio of their ages is 16:3. To find the age of the daughter, we can set up a proportion using the ratio. Let's assume the daughter's age is 3x. Then, the woman's age would be 16x. The sum of their ages is 3x + 16x = 19x. Since the average age is 19 years, we can set up the equation 19x/2 = 19. Solving for x, we find x = 2. Therefore, the daughter's age is 3x = 3(2) = 6 years.

To find out how many dozen guavas the juice center will require for 36 days, we can use the concept of proportion. We know that the juice center requires 35 dozen guavas for 28 days. Therefore, the ratio of guavas to days is 35 dozen guavas / 28 days = 1.25 dozen guavas per day. To find out the number of dozen guavas required for 36 days, we can multiply the ratio by 36: 1.25 dozen guavas/day * 36 days = 45 dozen guavas. Therefore, the correct answer is 45.

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The pattern in the given series is that each number is obtained by multiplying the previous number by 2 and then adding 1. So, to find the missing numbers, we need to multiply 7 by 2 and add 1, which gives us 15. Hence, the missing numbers are 12 and 15.

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To find the value that should come in place of the question mark, we need to solve the given equation. First, we calculate the value inside the parentheses, which is 44 multiplied by 5.5, resulting in 242. Then, we divide 4477 by 242, which equals 18.5. Therefore, the correct answer is 18.5.

In the given equation, the pattern seems to be subtracting a smaller number from a larger number. The first number, 35154, is subtracted by 20465 to get 14689. Then, 14689 is subtracted by 5201 to get 9488. Therefore, the missing number should be 9488.

To find 33.5% of 250, we can multiply 250 by 0.335 (33.5/100). This calculation gives us 83.75. Therefore, the correct answer is 83.75.

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In the given sequence, the first digit of each number is increasing by 1, while the second and third digits are the same in each number. Therefore, the missing number should have the first digit as 7, and the second and third digits as 7. Hence, the correct answer is 776.

Let's assume the number is 'x'. The sum of 55% of x and 40% of x is equal to 180.5. Mathematically, this can be represented as (0.55x + 0.40x = 180.5). Simplifying this equation, we get (0.95x = 180.5). Dividing both sides by 0.95, we find that x is equal to 190. Now, we need to find 80% of x. Multiplying 190 by 0.80 gives us 152. Therefore, the correct answer is 152.

To find the value that should come in place of the question mark, we need to perform the given calculation. First, we multiply 243 by 124, which equals 30,132. Then, we subtract 25,340 from this result, giving us 4,792. Therefore, the correct answer is 4792.

The correct answer is 5.75. To solve this equation, we need to divide 92 by 8, which equals 11.5. Then, we divide 11.5 by 2, which gives us 5.75. Therefore, 5.75 is the value that should come in place of the question mark.

The given number series follows the pattern of multiplying each number by 2 and then adding 5. Starting from 5, the next number is obtained by multiplying 5 by 2 and adding 5, which gives 15. Similarly, 15 is multiplied by 2 and 5 is added to get 35, and so on. Applying the same pattern, the missing number after 155 would be obtained by multiplying 155 by 2 and adding 5, resulting in 315. Therefore, the correct answer is 315.

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The car covers a certain distance in three hours at the speed of 124 km/hr. This means that the car travels a total distance of 3 * 124 = 372 km. Now, we are given that the truck travels a distance of 120 km less than the car in the same time. Therefore, the truck travels a distance of 372 - 120 = 252 km. Since the time taken by both the car and the truck is the same, we can calculate the average speed of the truck by dividing the distance traveled by the time taken: 252 km / 3 hours = 84 km/hr. Therefore, the average speed of the truck is 84 km/hr.

The given equation can be solved by simplifying the expressions on both sides. (121)3 means 121 raised to the power of 3, which is equal to 1331. (1331)2 means 1331 raised to the power of 2, which is equal to 176,473. So the equation becomes 1331 ÷ 176,473 = (11)? 3. Dividing 1331 by 176,473 gives a very small decimal value. And since 11 raised to any power will always result in a larger number, the only possible value for the question mark is 1.

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28% of 950 can be found by multiplying 950 by 0.28, which gives 266. Therefore, the number of employees who got promoted is 266.

To make 3000 a perfect square, we need to find the square root of 3000. The square root of 3000 is approximately 54.77. Since a perfect square is always an integer, we need to find the closest integer to 54.77, which is 55. To make 3000 a perfect square, we need to add the square of the difference between 55 and the square root of 3000. The difference is 55 - 54.77 = 0.23. The square of 0.23 is approximately 0.0529. Therefore, the least number to be added to 3000 to make it a perfect square is 0.0529, which can be rounded to 0.053 or 25.

The pattern in the number series is that each number is multiplied by 2, then by 3, then by 4, and so on. Starting with 3, when we multiply it by 2, we get 6. Then, when we multiply 6 by 3, we get 18. Continuing this pattern, when we multiply 18 by 4, we get 72, and when we multiply 72 by 5, we get 360. Therefore, the next number in the series should be obtained by multiplying 360 by 6, which gives us 2160.

The number series is formed by subtracting a decreasing sequence of numbers from the previous number. Starting from 688, we subtract 216 to get 472, then subtract 125 to get 347, then subtract 64 to get 283, and finally subtract 27 to get 256. Therefore, the missing number should be 256 minus 27, which is 229.

The owner of the electronic store charges his customers 11% more than the cost price. This means that the selling price is 111% of the cost price. To find the original price of the TV, we need to divide the selling price by 111% (or 1.11). Rs. 1,33,200 / 1.11 = Rs. 1,20,000. Therefore, the original price of the TV was Rs. 1,20,000.

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Mohan sold an item for Rs.4,510 and incurred a loss of 45%. To find the original cost price, we can use the formula: Selling Price = Cost Price - Loss. Substituting the given values, we get: 4510 = Cost Price - (45/100) * Cost Price. Simplifying this equation, we find: Cost Price = 4510 / (1 - 0.45) = 4510 / 0.55 = Rs.8,200. To calculate the selling price needed to earn a profit of 45%, we use the formula: Selling Price = Cost Price + Profit. Substituting the values, we get: Selling Price = 8200 + (45/100) * 8200 = 8200 + 3690 = Rs.11,890. Therefore, the correct answer is Rs.11,890.

The cost of four calculators and two stencils is given as Rs.6,200. To find the cost of ten calculators and five stencils, we can assume that the cost of each calculator and stencil remains the same. Therefore, we can calculate the cost per calculator and stencil by dividing Rs.6,200 by the total number of calculators and stencils (4+2=6). The cost per calculator and stencil is Rs.1,033.33. Multiplying this cost by the total number of calculators and stencils (10+5=15), we get Rs.15,500 as the cost of ten calculators and five stencils.

The pattern in the given sequence is that each number is the square of the previous number. Therefore, the number that should come in place of the question mark is the square of 16, which is 256.

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The correct answer is 9 because it is the only figure that satisfies the given inequality. The symbol ">" stands for "greater than", so we are looking for a figure that is greater than the given values (-7, 8, -8, and -9). Among the given figures, only 9 is greater than all of these values.

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To find the missing value, we can set up the equation: 65% of 654 - x% of 860 = 210.1. We can first find 65% of 654 by multiplying 654 by 0.65, which equals 425.1. Next, we can find x% of 860 by multiplying 860 by x/100. Substituting these values into the equation, we get 425.1 - (860x/100) = 210.1. Solving for x, we can simplify the equation to 215 = 860x/100. Cross multiplying and simplifying further, we find that x = 25. Therefore, the missing value is 25.

Let's assume the first odd number is A. Since the numbers are consecutive, the next odd numbers would be A+2, A+4, and A+6. The average of these four numbers is 54. We can write this as (A + A+2 + A+4 + A+6)/4 = 54. Simplifying this equation, we get 4A + 12 = 216. Solving for A, we find A = 51. The product of A and C would be 51 * (51+4) = 51 * 55 = 2805.

To find the missing value, we need to solve the equation. We know that 5 multiplied by the missing value is equal to 4808 divided by 8. By dividing 4808 by 8, we get 601. Multiplying 5 by the missing value should give us 601. Therefore, the missing value is 120.2.

To solve this equation, we need to perform the calculations inside the brackets first.

92 ÷ 184 = 0.5

0.5 x 1.5 = 0.75

Now, we compare the result with the given options. We can see that -0.7 is the only option that is lesser than 0.75. Therefore, -0.7 is the correct answer.

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The compound interest formula is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years. In this case, the principal amount is Rs.7,640, the annual interest rate is 15%, and the time period is 2 years. Plugging these values into the formula, we get A = 7640(1 + 0.15/100)^(2*1). Solving this equation, we find that A is approximately Rs.9,103.9. The compound interest is then calculated by subtracting the principal amount from the final amount, resulting in Rs.9,103.9 - Rs.7,640 = Rs.2,463.9.

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12 men can complete the work in 6 days, so the work done by 1 man in 1 day is 1/72 (1/6 * 1/12 = 1/72).
10 men and 21 women can complete the work in 3 days, so the work done by them in 1 day is 1/3.
Let's assume the work done by 1 woman in 1 day is x. So, the work done by 21 women in 1 day is 21x. Therefore, the total work done by 10 men and 21 women in 1 day is 1/3, which can be expressed as 1/72 + 21x = 1/3. Solving this equation, we get x = 1/252.
Now, we need to find the number of days it takes for 12 women to complete the work. Since the work done by 1 woman in 1 day is 1/252, the work done by 12 women in 1 day is 12/252 = 1/21. Therefore, it will take 21 days for 12 women to complete the work. But since the options do not include 21, the correct answer is 9 days.

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