SBI Clerk Grade Quantitative Aptitude Quiz

The pattern in the given sequence is that each number is obtained by multiplying the previous number by 2 and then adding 3. Starting with 7, we have 7 * 2 + 3 = 17, then 17 * 2 + 3 = 37, then 37 * 2 + 3 = 77, and so on. Therefore, the missing number in the sequence is 67 * 2 + 3 = 137.

The given expression involves dividing 11880 by 44 and then dividing the result by 18. Dividing 11880 by 44 gives us 270, and dividing 270 by 18 gives us 15. Therefore, the value of the expression is 15.

The pattern in the given sequence is that each number is obtained by multiplying the previous number by 3 and then subtracting a constant value. Starting with 8, we have 8 * 3 - 2 = 22, 22 * 3 - 2 = 64, 64 * 3 - 2 = 190, and 190 * 3 - 2 = 568. Therefore, the next number in the sequence would be 568 * 3 - 2 = 1702.

The original two-digit number can be determined to be 48. This can be found by setting up a system of equations. Let's call the tens digit x and the units digit y. From the information given, we know that x + y = 12 and 10y + x = 10x + y + 36. Simplifying the second equation, we get 9y - 9x = 36, which can be further simplified to y - x = 4. Solving the system of equations, we find that x = 4 and y = 8, giving us the original number 48.

The given sequence is formed by dividing the previous number by 6. Starting with 5760, we divide it by 6 to get 960. Continuing this pattern, we divide 960 by 6 to get 160. Dividing 160 by 6 gives us 26.67, but since the sequence only consists of whole numbers, we round it down to 26. Finally, dividing 26 by 6 gives us 4.33, which is rounded down to 4. Therefore, the missing number in the sequence is 4. However, none of the given options match 4, so the correct answer is 8.

When 6 students with an average weight of 52 kg leave the class, their total weight is 6 * 52 = 312 kg.
Then, 6 students with an average weight of 42 kg join the class, adding a total weight of 6 * 42 = 252 kg.
The total weight change is 252 - 312 = -60 kg.
Since the average weight is the total weight divided by the number of students, the new average weight can be calculated as (40 * 55 - 60) / 40 = 53.5 kg.

The average speed of a car is calculated by dividing the total distance traveled by the total time taken. In this case, the car covers a total distance of 39 km + 25 km = 64 km. The total time taken is 45 min + 35 min = 80 min. Converting the time to hours, we get 80 min ÷ 60 min/h = 1.33 h. Dividing the total distance (64 km) by the total time (1.33 h), we get an average speed of approximately 48 km/h.

The speed of the man in still water can be determined by finding the average of his speeds downstream and upstream. Since the downstream speed is faster at 13 km/h and the upstream speed is slower at 9 km/h, the average speed will be closer to the downstream speed. Therefore, the speed of the man in still water is 11 km/h.

The average number of books sold by all the given stores in February is 211. This is calculated by adding up all the numbers (207, 211, 219, 223, and 227) and then dividing the sum by the total number of values, which is 5.

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The given expression involves multiplication and addition. To find the answer, we need to perform the multiplication first, then the addition. Multiplying 156.25 by 12.4 gives us 1937.5, and multiplying 1.8 by 52.5 gives us 94.5. Adding these two results together gives us 1937.5 + 94.5 = 2032. Then, subtracting 175.85 from this sum gives us 2032 - 175.85 = 1856.15. Therefore, the correct answer is 2207.85.

Since A, B, and C invested for equal periods of time, their share of the annual profit will be directly proportional to their investments. Therefore, the ratio of their shares will be equal to the ratio of their investments.

The total investment is Rs. 64000 + Rs. 52000 + Rs. 36000 = Rs. 152000.

The ratio of A's investment to the total investment is Rs. 64000 / Rs. 152000 = 4/19.

So, A's share of the annual profit is Rs. 35584 * (4/19) = Rs. 7488.

Similarly, the ratio of C's investment to the total investment is Rs. 36000 / Rs. 152000 = 9/38.

Therefore, C's share of the annual profit is Rs. 7488 * (9/38) = Rs. 20016.

Hence, the correct answer is Rs. 20016.

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Let's assume the number of capsules purchased is x.
According to the given information, the cost of x capsules is Rs. 176.
If each capsule was cheaper by Rs. 3, then the cost of 6 more capsules would be Rs. 176.
This means that the cost of 6 capsules is Rs. 18 (6 * 3).
So, the cost of 1 capsule is Rs. 3 (18 / 6).
Now, we can find the number of capsules purchased by dividing the total cost (Rs. 176) by the cost of 1 capsule (Rs. 3).
176 / 3 = 58.67
Since the number of capsules must be a whole number, the closest option is 16, which is the correct answer.

Ram was supposed to find 7/8th of a fraction, but instead, he divided the fraction by 7/8. This means that he essentially multiplied the fraction by 8/7. Since he was off the correct answer by 751784, we can assume that this value is equal to the difference between the correct answer and the answer Ram arrived at. Therefore, the correct answer can be found by adding 751784 to the answer Ram arrived at.

The worker earns Rs. 26 for each day worked and Rs. 7 for each day idle. Let's assume the worker worked for x days and remained idle for y days. The total amount earned can be expressed as 26x + 7y. We are given that the total amount earned is Rs. 829 and the total number of days is 56. Therefore, we have the equation 26x + 7y = 829 and x + y = 56. Solving these equations, we find that x = 37 and y = 19. Therefore, the worker remained idle for 19 days.

The given expression involves multiplication and subtraction. First, we calculate the products of the numbers: 2.6 multiplied by 1.5 equals 3.9, and 3.4 multiplied by 1.2 equals 4.08. Then, we subtract the product of 18 and 2.5, which is 45. Finally, we add the two products together and subtract the result from the product of 18 and 2.5. The final result is 3.48.

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The length of the rectangle is equal to the side of a square whose area is 729 sq. m. The area of a square is calculated by multiplying the length of one side by itself. Therefore, the length of the rectangle is the square root of 729, which is 27 m. The difference between the length and breadth of the rectangle is 6 m, so the breadth of the rectangle is 27 - 6 = 21 m. The perimeter of a rectangle is calculated by adding the lengths of all its sides. Therefore, the perimeter of the rectangle is 2 * (length + breadth) = 2 * (27 + 21) = 96 m.

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The difference between the total number of books sold by all the given stores together in January and April is 363.

The total cost of the 36 kg of sugar bought at Rs. 45 per kg is 36 * 45 = Rs. 1620. The total cost of the 24 kg of sugar bought at Rs. 40 per kg is 24 * 40 = Rs. 960. The total cost of the mixed sugar is Rs. 1620 + Rs. 960 = Rs. 2580. To earn a 20% profit, the selling price should be 120% of the cost price. Therefore, the selling price should be 1.2 * Rs. 2580 = Rs. 3096. The selling price per kg is Rs. 3096 / (36 + 24) = Rs. 3096 / 60 = Rs. 51.60. Rounding to two decimal places, the selling price per kg is Rs. 52.42.

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Let the distance between the man's house and the station be D km.

When the man runs at 6 km/h, he misses the train by 8 minutes. This means that the time taken to reach the station at this speed is (D/6) hours.

When the man runs at 10 km/h, he reaches 7 minutes before the departure of the train. This means that the time taken to reach the station at this speed is (D/10) hours.

We can set up the equation (D/6) + 8/60 = (D/10) - 7/60 to solve for D.

Simplifying this equation, we get D = 1.2 km.

Therefore, the distance of the station from the man's house is 1.2 km.

If 36 workers can finish the work in 14 days, it means that the total work requires 36 workers * 14 days = 504 worker-days.
To complete the work in 8 days, the same amount of work needs to be done in less time, so the required worker-days will be 504 worker-days / 8 days = 63 workers.
Since there are already 36 workers, the number of extra workers required is 63 workers - 36 workers = 27 workers.

The respective ratio between the total number of books sold by stores A and C together in March and the total number of books sold by stores E and F together in May is 9:11.

The compound interest can be calculated using the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the number of years. In this case, the principal amount is Rs. 18600, the rate of interest for the first year is 8%, the rate of interest for the second year is 15%, and the time is 2 years. Plugging these values into the formula, we get A = 18600(1 + 0.08/1)^(1*1) * (1 + 0.15/1)^(1*1) = 18600(1.08)(1.15) = Rs. 4501.20.

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Let's assume the number of roses in the garden is 3x and the number of lilies is 2x. Since the average number of roses and lilies is 180, we can set up the equation (3x + 2x)/2 = 180. Simplifying this equation gives us 5x/2 = 180. Multiplying both sides by 2/5, we find that x = 72. Therefore, the number of lilies in the garden is 2x = 2 * 72 = 144.

In 2012, the ratio of the number of students in institutes A and B was 7:15. In 2013, the number of students in institute A increased by 25%, which means it became 1.25 times the previous number. Similarly, the number of students in institute B increased by 26%, which means it became 1.26 times the previous number. Therefore, the ratio of the number of students in institutes A and B in 2013 would be (7 * 1.25) : (15 * 1.26) = 8.75:18.9, which can be simplified to 25:54.

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To find the total price at which Raghuvir should sell 15 calculators and 24 watches together, we need to calculate the cost price of 15 calculators and 24 watches.

Let the cost price of 1 calculator be x and the cost price of 1 watch be y.

From the given information, we can form the equations:
10x + 16y = 56100 (equation 1)
(1 + 20/100)(10x + 16y) = 56100 (equation 2)

Simplifying equation 2, we get:
(6/5)(10x + 16y) = 56100
12x + 19.2y = 56100 (equation 3)

Solving equations 1 and 3 simultaneously, we can find the values of x and y.

Now, we can calculate the cost price of 15 calculators and 24 watches using the values of x and y.

Finally, we need to apply the 20% profit on the calculated cost price and find the total selling price.

After the calculations, we get the answer as Rs. 100980.

The number of books sold by store E in March is 33% less than the number of books sold by store A in May.

The given sequence follows a pattern where each number is obtained by multiplying the previous number by a prime number and then adding 5. Starting with 6, the pattern is as follows: 6 x 2 + 5 = 17, 17 x 3 + 5 = 56, 56 x 5 + 5 = 285, 285 x 7 + 5 = 2000, and finally 2000 x 11 + 5 = 22005. Therefore, the missing number in the sequence is 3611.

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Abhijit initially invested Rs. 50000 with company X for two years at a simple interest rate of 15% per annum. After two years, he received the entire amount and invested it with company Y at a compound interest rate of 12% per annum for two years. The final amount he received after the second investment was Rs. 81536.

The given expression involves a series of arithmetic operations. First, we divide 15 by 12.5, which gives us 1.2. Then, we multiply this result by 35, resulting in 42. Next, we multiply 42.8 by 2.5, which equals 107. Finally, we add 42 and 107, resulting in 149. Since the given expression is equal to 102, the answer must be 7.

If A alone takes 15 days to finish the work, it means that A can complete 1/15th of the work in one day. Since A is 60% more efficient than B, it implies that B is 40% less efficient than A. Therefore, B can complete only 60% of what A can do in a day. Working together, A and B can complete 1/15 + 60% of 1/15 = 1/15 + 3/50 = 17/150 of the work in one day. To complete the entire work, they will need 150/17 days, which is approximately 8.82 days.

The total number of books sold by store B during all the given months together is 86 percent of the total number of books sold by store D during all the given months together.