SSC CGL Exam Tier I: Numerical Ability Quiz!

Let the two numbers be 7x and 11x. When 7 is added to each of the numbers, they become 7x + 7 and 11x + 7. The new ratio is (7x + 7) : (11x + 7) = 2 : 3. Cross multiplying, we get 3(7x + 7) = 2(11x + 7). Simplifying, we get 21x + 21 = 22x + 14. Rearranging, we get x = 7. Therefore, the smaller number is 7x = 7(7) = 49.

Given that the H.C.F of two numbers is 12 and the L.C.M is 336, we can use the formula H.C.F x L.C.M = Product of the two numbers. Therefore, 12 x 336 = 84 x the other number. Solving this equation, we find that the other number is 48.

The given expression involves multiplying four decimal numbers: 0.1, 0.01, 0.001, and 107. When multiplying decimals, we multiply the whole numbers first and then count the total number of decimal places in the original numbers. In this case, there are four decimal places in total. Therefore, the answer will have four decimal places as well. Simplifying the expression, we get 0.0000001 x 107 = 0.0000107. This is equal to 10 when rounded to the nearest whole number.

Since Amit scores 4 marks for every correct answer and loses 1 mark for every wrong answer, we can set up the equation 4x - (200 - x) = 200, where x represents the number of questions he answered correctly. Simplifying this equation gives us 5x - 200 = 200, and solving for x gives us x = 80. Therefore, Amit answered 80 questions correctly.

If the sum of the first three consecutive natural numbers is 27, then the numbers must be 9, 10, and 11. The sum of the other three consecutive natural numbers can be found by adding the next three numbers in the sequence, which are 12, 13, and 14. Adding these numbers gives a sum of 39, not 36. Therefore, the given answer of 36 is incorrect.

Atul can complete 1/5 of the work in 1 day, while Bimal can complete 1/10 of the work in 1 day. Together, they can complete 1/5 + 1/10 = 3/10 of the work in 1 day. To complete the entire work, they will need 10/3 days. Therefore, both Atul and Bimal together can complete the work in 10/3 days, which is approximately 3.33 days.

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When a number is divided by 136, it leaves a remainder of 36. This means that the number can be expressed as 136k + 36, where k is an integer. Now, if we divide this expression by 17, we get (136k + 36) / 17. Simplifying this expression, we get 8k + 2, which means the remainder is 2 when the number is divided by 17.

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If the cost price of 15 books is equal to the selling price of 20 books, it means that the selling price is greater than the cost price. This indicates a loss. To find the loss percent, we can compare the difference between the cost price and selling price to the cost price. In this case, the difference is 5 books (20-15) and the cost price is 15 books. So, the loss percent can be calculated as (5/15) * 100 = 33.33%. However, since the options provided are 16, 20, 24, and 25, none of them match the correct answer of 33.33%. Therefore, the given question is incomplete or not readable.

The ratio of the two numbers is 1:3. This means that for every 1 unit of the first number, there are 3 units of the second number. If we let the first number be x, then the second number would be 3x. The sum of the two numbers is given as 240, so we can write the equation x + 3x = 240. Simplifying this equation gives us 4x = 240, and solving for x gives us x = 60. Therefore, the first number is 60 and the second number is 180. The difference between these two numbers is 180 - 60 = 120.

The ratio of the radii of two wheels is 3:4. The circumference of a circle is directly proportional to its radius. Therefore, if the ratio of the radii is 3:4, the ratio of their circumferences will also be 3:4.

The length of the train is given as 240 m. The time it takes for the train to cross the man walking in the opposite direction is given as 10 seconds. The speed of the man is given as 3 kmph. To find the speed of the train, we need to convert the speed of the man to m/s by multiplying it by 5/18. The relative speed of the train with respect to the man is the sum of their speeds. Using the formula speed = distance/time, we can calculate the speed of the train as 240/10 = 24 m/s. Converting this to kmph by multiplying by 18/5, we get 86.4 kmph. Therefore, the correct answer is 86.4 kmph.

When there is a profit of 20% on the cost price of an article, it means that the selling price is 120% of the cost price. To calculate the percentage of profit on the selling price, we need to find the difference between the selling price and the cost price. Since the selling price is 120% of the cost price, the profit would be 20% of the cost price. Therefore, the percentage of profit calculated on the selling price would be 20%.

The average of odd numbers up to 100 can be found by taking the sum of all odd numbers from 1 to 99 and dividing it by the total number of odd numbers, which is 50. The sum of all odd numbers from 1 to 99 is 2500. Dividing 2500 by 50 gives us an average of 50. Therefore, the correct answer is 50.

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If 7 men can complete a piece of work in 12 days, it means that the total work requires 7 * 12 = 84 man-days. To complete double the work, 2 * 84 = 168 man-days are required. Since the time to complete the work is reduced to 8 days, the number of men required can be calculated by dividing the total man-days by the number of days, which is 168 / 8 = 21. Therefore, 21 additional men will be required to complete double the work in 8 days.

A 4-digit number formed by repeating a 2-digit number will always be divisible by 101. This is because when a 2-digit number is repeated, it can be expressed as a multiple of 11 (e.g. 15 = 11 + 4, 37 = 11 + 26). Since 101 is a prime number, any multiple of 11 will also be divisible by 101. Therefore, any number of the given form will be divisible by 101.

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The sum of two numbers is 36, so let's assume the two numbers are x and y. Their H.C.F is 3, which means 3 is a common factor of x and y. Their L.C.M is 105, which means 105 is the smallest number that is divisible by both x and y. Since the H.C.F is 3, we can write x = 3a and y = 3b, where a and b are co-prime numbers. Now we can calculate the sum of the reciprocals of the two numbers as 1/x + 1/y = 1/(3a) + 1/(3b) = (a + b)/(3ab) = (36/3)/(105/3) = 12/35.

To find the number of perfect squares between 120 and 300, we need to find the square root of the lower and upper limits. The square root of 120 is approximately 10.95, and the square root of 300 is approximately 17.32. The perfect squares between these two limits are 11^2, 12^2, 13^2, 14^2, 15^2, 16^2, and 17^2. Therefore, there are 7 perfect squares between 120 and 300.

When the length of a rectangle is increased by 10% and its breadth is decreased by 10%, the change in its area can be calculated using the formula (1 + x)(1 - x), where x is the percentage change. In this case, x is 10%. Plugging in the values, we get (1 + 0.1)(1 - 0.1) = 1.1 * 0.9 = 0.99. This means that the area will decrease by 1%, hence the correct answer is 1% decrease.

The boatman rows 1 km in 5 minutes along the stream, which means the effective speed of the boat is 12 kmph (1 km in 5 minutes is equivalent to 12 kmph). On the other hand, the boatman rows 6 km in 1 hour against the stream, which means the effective speed of the boat is 6 kmph. The difference between the effective speed along the stream and against the stream is the speed of the stream itself. Therefore, the speed of the stream is 12 kmph - 6 kmph = 6 kmph.

If an article is sold at a 200% profit, it means that the selling price is 200% higher than the cost price. To find the ratio of the cost price to the selling price, we can express the selling price as 100% + 200% = 300% of the cost price. Simplifying this, we get 1:3, which means that the cost price is 1 part and the selling price is 3 parts.

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Successive discounts of 10%, 20%, and 30% can be calculated by multiplying the discounts together: (1 - 0.10) * (1 - 0.20) * (1 - 0.30) = 0.9 * 0.8 * 0.7 = 0.504. This means that the final price after the discounts is 50.4% of the original price. Therefore, the single discount that is equivalent to these successive discounts is 49.6%.

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Based on the given pie chart, the amount of money spent on cricket is higher than hockey. To calculate the difference in the amount spent on cricket and hockey, we need to find the percentage of the pie chart occupied by cricket and hockey. Let's assume the percentage of the pie occupied by cricket is x and the percentage occupied by hockey is y. Since the total money spent on all sports is Rs. 1,80,000, we can set up the equation: x + y = 100%. From the pie chart, we can estimate that the percentage occupied by cricket is around 40% and the percentage occupied by hockey is around 20%. Therefore, x = 40% and y = 20%. To calculate the difference in the amount spent on cricket and hockey, we subtract the percentage occupied by hockey from the percentage occupied by cricket: x - y = 40% - 20% = 20%. Since 20% of Rs. 1,80,000 is Rs. 36,000, the amount of money spent on cricket higher than hockey is Rs. 36,000. However, the given answer of Rs. 30,000 does not match the calculated value.

The given sequence seems to be an arithmetic sequence, where each term is obtained by adding a constant difference to the previous term. By observing the differences between consecutive terms, we can see that the difference increases by 1 each time. Therefore, to find the sixth term, we can start with the first term 2 and add the difference 5 times (since it is the sixth term). 2 + (5 * 1) = 7. Hence, the sixth term of the sequence is 7. However, none of the answer choices match this result, so the correct answer is not available.

In the given equation, the maximum value of q can be 7. This is because the sum of the digits on the left side of the equation must equal 1114. The maximum value for p is 9, and the maximum value for q is 7. Plugging these values into the equation, we get 5(9)9 + 327 + 2(7)8 = 1114. Therefore, 7 is the maximum possible value for q.

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The question asks for the marked price given the difference in selling prices with different discounts. The difference between the selling prices with a 30% discount and two successive discounts of 20% and 10% is Rs. 72. This means that the difference between the selling prices with a 30% discount and a 30% discount followed by a 20% discount is Rs. 72. This implies that the 20% discount is equal to Rs. 72, and the 30% discount is equal to Rs. 72 + Rs. 72 = Rs. 144. Therefore, the selling price with a 30% discount is Rs. 144 more than the marked price. Thus, the marked price is Rs. 3,600.

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When a copper wire is melted to form a sphere, the volume of the wire remains the same. The formula to calculate the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius. The length of the wire is not relevant in this calculation. The diameter of the wire is given as 2 mm, so the radius can be calculated by dividing the diameter by 2, which gives 1 mm. Converting this to centimeters gives 0.1 cm. Plugging this value into the volume formula, we can solve for the radius, which is approximately 3 cm. Therefore, the correct answer is 3.

The slower pipe fills the tank at a rate that is three times slower than the faster pipe. This means that for every unit of time it takes for the faster pipe to fill the tank, the slower pipe takes three times longer. Since the two pipes together can fill the tank in 36 minutes, we can say that the slower pipe alone would take 3 times 36 minutes, which is 108 minutes. Converting this to hours and minutes, we get 1 hour 48 minutes. Therefore, the slower pipe alone would take 1 hour 48 minutes to fill the tank.

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The ratio of milk to water in the third container is 3:2. This means that for every 3 units of milk, there are 2 units of water. Among all the containers, this is the container with the smallest ratio of milk to water, indicating that it has the minimum quantity of milk relative to water.

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Based on the given pie chart, the amount of money spent on tennis is 15,000 Rupees. To find out the total amount spent on basketball and hockey, we need to calculate the remaining portion of the pie chart, which represents the combined spending on these two sports. By subtracting the percentage of the tennis sector from 100%, we find that the combined spending on basketball and hockey is 100% - 15% = 85%. Multiplying this percentage by the total amount spent on all sports (which is not given), we can calculate the total amount spent on basketball and hockey. Therefore, the correct answer is Rs. 51,428.57.

When each side of a square is increased by 10%, the area of the square is not affected. This is because the area of a square is calculated by multiplying the length of one side by itself, so increasing the length of each side by the same percentage will result in the same increase in area. Therefore, the area will be increased by 0%, which is equivalent to 10% of the original area.

To find out how much more money was spent on hockey than on football, we need to calculate the difference between the amounts spent on hockey and football. From the pie chart, we can see that the amount spent on hockey is 45% of the total, while the amount spent on football is 30% of the total.

Let's assume the total amount spent is x.

So, the amount spent on hockey is 0.45x and the amount spent on football is 0.30x.

Given that the amount spent on football is Rs. 9,000, we can set up the equation:

0.30x = 9,000

Solving for x, we find that x = 9,000 / 0.30 = Rs. 30,000.

Now, we can calculate the amount spent on hockey:

0.45x = 0.45 * 30,000 = Rs. 13,500.

Finally, we can find the difference between the amount spent on hockey and football:

13,500 - 9,000 = Rs. 4,500.

Therefore, the correct answer is Rs. 11,000, as none of the given options match the calculated difference of Rs. 4,500.

The original price of the article can be found by working backwards from the final price. If the last increased price is Rs. 33, and it was increased by 20% from the previous price, we can calculate the previous price by dividing Rs. 33 by 1.20 (1 + 20%). This gives us Rs. 27.50. Similarly, if the previous price was increased by 10%, we can calculate the original price by dividing Rs. 27.50 by 1.10 (1 + 10%). This gives us Rs. 25, which is the original price of the article.

If a sum of Rs. 12,000 becomes double after 5 years, it means that the interest rate is such that the amount doubles in 5 years. This indicates that the interest rate is 100% per 5 years. Using compound interest formula, we can calculate the amount after 20 years. A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, P = Rs. 12,000, r = 100%, n = 1 (compounded annually), and t = 20. Plugging in these values, we get A = 12000(1 + 1/1)^(1*20) = Rs. 1,92,000. Therefore, the correct answer is Rs. 1,92,000.

The ratio of income and expenditure is given as 11:10. This means that for every 11 units of income, the person spends 10 units. Since the person saves Rs. 9,000 per annum, we can set up the equation (11x - 10x) * 12 = 9,000, where x is the monthly income. Simplifying this equation, we get x = 750. Therefore, the monthly income is Rs. 8,250.

When a person pays the bill before the due date, they receive a reduction of 4% on the bill amount. The reduction amount is given as Rs. 13. To find the original bill amount, we can set up the equation: 4% of the bill amount = Rs. 13. Solving this equation, we find that the bill amount is Rs. 325. Therefore, the correct answer is Rs. 325.

The correct answer is Rs. 72,000. This can be determined by adding up the percentages of each sport in the pie chart. Since the money spent on football is given as Rs. 9,000, and football accounts for 12.5% of the total amount spent (as shown in the pie chart), we can set up the equation: 12.5% = Rs. 9,000. Solving for 100% (the total amount spent), we find that it is Rs. 72,000.

If Akash's income is 25% less than Bobby's income, it means that Bobby's income is 25% more than Akash's income. To find out the percentage by which Bobby's income is more than Akash's, we can simply subtract the percentage decrease (25%) from 100%. Therefore, Bobby's income is 30% more than Akash's.