Can You Survive The Math Practice Test?

The length of the train cannot be determined because the time it takes to cross the platform does not provide enough information to calculate the length of the train. Additional information, such as the speed of the train, is needed to determine the length.

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To find the value of three-seventh of 35 percent of 420, we first calculate 35 percent of 420 which is 147. Then, we find three-seventh of 147 which is 63. Therefore, the correct answer is 63.

The average body weight of all the seven students can be calculated by adding up the individual weights of the students and then dividing the sum by the total number of students. In this case, the sum of the weights is 54 + 78 + 43 + 82 + 67 + 42 + 75 = 441 kg. Since there are seven students, the average body weight would be 441 kg divided by 7, which equals 63 kg.

The given number series follows the pattern of adding consecutive odd numbers. Starting with 9, the first odd number 2 is added to it, resulting in 11. Then, the next odd number 4 is added to 11, resulting in 15. This pattern continues, with each consecutive odd number being added to the previous number in the series. Therefore, the next odd number 8 will be added to 129, resulting in 137. Finally, adding 8 to 137 gives us the missing number in the series, which is 145.

The profit percentage can be calculated by finding the difference between the selling price and the cost price, and then dividing that difference by the cost price. In this case, the difference is Rs. 15,000 - Rs. 12,000 = Rs. 3,000. Dividing this by the cost price of Rs. 12,000 and multiplying by 100 gives us a profit percentage of 25%.

The average speed of the car can be calculated by dividing the total distance covered (3250 km) by the total time taken (65 hours), which gives us 50 kmph. Since the average speed of the bus is three-fifths of the car's average speed, we can calculate it by multiplying the car's average speed by three-fifths. Therefore, the average speed of the bus is (3/5) * 50 kmph, which equals 30 kmph.

The question states that if a number is added to two-fifth of itself, the result is 455. To find the number, we can set up an equation. Let's assume the number is x. Two-fifth of x is (2/5)x. Adding x to (2/5)x gives us the equation x + (2/5)x = 455. Simplifying this equation, we get (7/5)x = 455. To solve for x, we can multiply both sides of the equation by 5/7. This gives us x = (455 * 5)/7 = 325. Therefore, the number is 325.

In two years, Vijay donates blood thrice, which means he donates a total of 3 x 350 ml = 1050 ml of blood. Since there are 1000 ml in 1 liter, Vijay donates 1050/1000 = 1.05 liters of blood in two years. Therefore, in 6 years, he will donate 3 x 1.05 = 3.15 liters of blood.

The angles of a triangle are in the ratio of 3:5:4. Let's assume the smallest angle is 3x, the second largest angle is 5x, and the largest angle is 4x. The sum of the angles of a triangle is 180°, so we can set up the equation 3x + 5x + 4x = 180°. Solving this equation, we find that x = 12°. Therefore, the smallest angle is 3(12°) = 36° and the second largest angle is 5(12°) = 60°. Twice the smallest angle is 2(36°) = 72°. The difference between 72° and 60° is 72° - 60° = 12°. However, the question asks for the difference between twice the smallest angle and the second largest angle, so the correct answer is 72° - 60° = 30°.

The word "REMAKE" has 6 letters. To find the number of different ways these letters can be arranged, we use the formula for permutations of n objects taken all at a time, which is n!. In this case, 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720. However, since the letter "E" appears twice, we must divide by the factorial of the number of times it repeats, which is 2!. Therefore, the total number of different ways the letters of the word "REMAKE" can be arranged is 720 / 2! = 360.

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The question is asking for an approximate value to replace the question mark. Looking at the given options, the closest value to 3800 is 3800 itself. Therefore, the correct answer is 3800.

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The given number series follows a pattern where each number is obtained by subtracting a certain value from the previous number. In this series, the pattern is as follows: 652 - 224 = 428, 428 - 112 = 316, 316 - 56 = 260, 260 - 28 = 232. Therefore, to find the next number, we subtract 14 from 232, resulting in 218. Hence, the correct answer is 218.

If we let the number be x, the equation can be written as x * (2/3)x = 864. Simplifying this equation, we get (2/3)x^2 = 864. Multiplying both sides by 3/2, we obtain x^2 = 1296. Taking the square root of both sides, we find x = 36. Therefore, the number is 36.

The sum of half the smallest angle and twice the largest angle of a parallelogram can be found by using the properties of a parallelogram. In a parallelogram, opposite angles are equal. Since one angle of the parallelogram is given as 256°, the opposite angle will also be 256°. Therefore, the smallest angle of the parallelogram is 256°. The largest angle of the parallelogram will be the opposite angle, which is also 256°. Hence, half the smallest angle is 128° and twice the largest angle is 512°. The sum of these two angles is 128° + 512° = 640°. However, none of the given answer choices match this sum. Therefore, the correct answer cannot be determined.

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The second highest fraction can be determined by comparing the numerators and denominators of the given fractions. Among the fractions 1/2, 5/14, 4/9, 3/4, and 2/3, the highest numerator is 5 and the highest denominator is 14. However, the fraction with the second highest value is 2/3, as it has a numerator of 2 and a denominator of 3, which is greater than the numerators and denominators of the other fractions.

Jaswinder secured 612 marks and failed by 108 marks. To find out the maximum marks of the examination, we need to add the marks Jaswinder secured with the marks he failed by. If he failed by 108 marks, then the total marks of the examination would be 612 + 108 = 720. However, this is not one of the options provided. Therefore, the correct answer must be the closest option to 720, which is 1600.

The man covered a distance of 180 km in 4 hours on a bike, which means he was traveling at a speed of 180/4 = 45 km/h. If he rides the bicycle at one-sixth the speed of the bike, his speed would be 45/6 = 7.5 km/h. Therefore, in 8 hours, he would cover a distance of 7.5 x 8 = 60 km.

The question states that Sukhwinder's annual income is Rs. 2.34 lacs. To find Ganeshi's monthly income, we need to first find Jassi's monthly income. It is given that two-thirds of Jassi's monthly income is equal to Sukhwinder's monthly income. So, Jassi's monthly income can be calculated by dividing Sukhwinder's annual income by 12 and then multiplying it by 2/3. Once we have Jassi's monthly income, we can find Ganeshi's monthly income by multiplying it by 2. Therefore, the correct answer is Rs. 58,500.

The perimeter of a square is equal to 4 times its side length. The perimeter of the rectangle is equal to 2 times its length plus 2 times its width. Given that the perimeter of the square is equal to the perimeter of the rectangle, we can set up the equation 4s = 2(30) + 2w, where s is the side length of the square and w is the width of the rectangle. Since the area of the rectangle is 360 sq. cm, we can also set up the equation lw = 360. Solving these two equations simultaneously, we find that the side length of the square is 21 cm.

The pattern in the number series is as follows:
12 + 4 = 16
16 + 16 = 32
32 + 36 = 68
68 + 64 = 132
132 + 100 = 232
Therefore, the next number in the series would be 232.