CSS MPT General Abilities MCQs - Practice Test # 2

The three consecutive prime numbers are 59, 61, and 67. Adding them together gives 187, so the largest number is 67.

If 25% of a number is 45, then the number is 180. 12% of 180 is 21.6

To find an equivalent ratio, we multiply or divide both parts of the ratio by the same number. In this case, multiplying 3 and 5 by 4 gives 12:20, which is equivalent.

Speed = Distance / Time. Therefore, speed = 180 km / 3 hours = 60 km/h.

Substitute the values of a and b into the expression to get 2(3)² + 3(2)² = 2(9) + 3(4) = 18 + 12 = 30.

At simple interest, the interest earned is constant each year. So, for a sum to double in 6 years, the rate per annum is 12%.

Substitute x = 3 into the equation to get 5(3) - 3y = 12. Solving gives y = 2.

More workers mean less time needed. Using inverse variation, 12 workers take 15 days, so 18 workers will take 10 days.

Dividing by a fraction is the same as multiplying by its reciprocal. So, (5/8) ÷ (15/16) × (8/5) simplifies to 1.

If the cost is 80% of the marked price and the shopkeeper gains 20%, the cost/marked price ratio is 5:6.

Speed = Distance / Time. So, time = Distance / Speed = 200 km / (120 km/3 hours) = 5 hours.

To simplify √(144/9), first compute the fraction inside the square root:

144 ÷ 9 = 16

Now, take the square root of the result:

√16 = 4

So, the simplified answer is 4.

Each term is (previous term × 2) + 1. So, the next term is (47 × 2) + 1 = 95.

Mean = (Sum of values) / (Number of values). So, the mean = (5+7+9+13+16) / 5 = 50 / 5 = 10.

Substitute x = 5 into the equation to get 4(5) + 5y = 40. Solving gives y = 4.

(2x)^3 = 8x³ and 4x² remains. So, the expression simplifies to 2x.

Step 1: Find the differences between terms:
6 − 2 = 4
12 − 6 = 6
20 − 12 = 8

So, the differences are: 4, 6, 8 — increasing by 2 each time.

Step 2: The next difference will be:
8 + 2 = 10

Step 3: Add this to the last term:
20 + 10 = 30

An angle that is more than 180° but less than 360° is called a reflex angle.

Area of a square = side², so side = √49 = 7. Perimeter = 4 × side = 4 × 7 = 28 cm.

Following the order of operations: 9 + (3×2) - (8÷4) = 9 + 6 - 2 = 15 - 2 = 13.

Cost per pen = Rs. 50 / 5 pens = Rs. 10 per pen. Therefore, the cost of 12 pens would be 12 × Rs. 10 = Rs. 120.

If 60% are male, then 40% are female (100% - 60% = 40%).

10% of 300 is 30. Then, 20% of 30 is 6.

Let B's age be x. A's age is 4x. So, x + 4x = 50, which simplifies to 5x = 50. Therefore, x = 10.

The LCM of 12, 15, and 20 is 60.

The area of a circle is πr². Substituting r = 7 gives 22/7 × 7² = 22 × 7 = 154 square cm.

To convert a fraction to a percentage, multiply by 100. Therefore, 3/8 as a percentage is 37.5%.

To find the missing number in the sequence 120, 99, 80, 63, 48, ?, we analyze the pattern.

The sequence is: 120, 99, 80, 63, 48, ?.

Calculate the differences between consecutive terms:

• 120 − 99 = 21
• 99 − 80 = 19
• 80 − 63 = 17
• 63 − 48 = 15

The differences are: 21, 19, 17, 15. These decrease by 2 each time (21 − 2 = 19, 19 − 2 = 17, 17 − 2 = 15). The next difference should be 15 − 2 = 13.

Subtract 13 from the last term (48):

• 48 − 13 = 35

Alternatively, observe the pattern in the sequence:

• The differences suggest a quadratic sequence, as the second differences are constant:
  • First differences: 21, 19, 17, 15
  • Second differences: 21 − 19 = 2, 19 − 17 = 2, 17 − 15 = 2 (constant)

This confirms the sequence follows a quadratic pattern. To verify, assume the terms follow a pattern related to n2 n^2 n2. Let's test by checking the next difference:

• The next term is 48 − 13 = 35.

We can also hypothesize a formula, but the difference method is sufficient. The decreasing differences (21, 19, 17, 15, 13) consistently lead to:

• 48 − 13 = 35

4 cubed is equal to 4 x 4 x 4, which equals 64.

First calculate (2/3) of 120 which is 80, then calculate (3/4) of 80 which is 60.

A right angle measures 90 degrees.

To convert km/h to m/s, divide by 3.6. So, 72 km/h is equal to 20 m/s.

Let the cost price be x. Selling price = Cost price + Gain. Therefore, x + 0.2x = 180. Solving for x, we get x = 150.

Perimeter of a rectangle = 2(length + width) = 2(12 + 8) = 2 x 20 = 40.

The average of the first n natural numbers is (n + 1) / 2. For 10 natural numbers, the average is (10 + 1) / 2 = 5.5.

Add 5 to both sides to isolate 2x, then divide by 2 to find x = 7.

Cancel out common terms in the numerator and denominator to simplify the expression to x/2y.

More men will take less time to dig the trench, so 6 men will take (8 x 12) / 6 = 16 days.

Simply add the given numbers to get the result 14.825.

To find the mean, add all the numbers and divide by the total count. (8 + 12 + 16 + 20 + 24) / 5 = 16.

The cost of 1 mango is Rs. 40 / 4 = Rs. 10. Therefore, the cost of 15 mangoes is 15 x 10 = Rs. 150.

Calculate (5² - 3²) which is (25 - 9) = 16. Then multiply by 2 to get 32.

Each number is multiplied by 3 to get the next number. So, 27 x 3 = 81.

Area of a triangle = 1/2 x base x height. Substituting the values, we get 1/2 x 12 x 8 = 48.

First add the fractions (1/2 + 1/4) = 3/4. Then multiply by 8 to get 6.

An octagon has 8 sides.

The value of pi (π) is approximately 3.14.

The formula for compound interest is A = P(1 + r/n)^(nt), where 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. Calculating, we get 10,000(1 + 0.10)^2 - 10,000 = 2100.

10³ ÷ 10² = 10^(3-2) = 10^1 = 10. Then multiply by 10² to get 10^3 = 1000.

Each side of the square is equal in length. Perimeter = 4 x side, so side = 64 / 4 = 16. Therefore, area = side x side = 16 x 16 = 256.

Substitute the values of x and y into the expression to get 2(2²) + 3(3²) = 2(4) + 3(9) = 8 + 27 = 35.

The sequence is increasing by consecutive odd numbers starting from 3. So, the next number is 28 + 11 = 39.

Substitute x = 5 into the expression to get 3(5)³ = 3(125) = 375.

First simplify the fractions to get 3 x 2 = 6.

Two angles that add up to 90 degrees are called complementary angles.

15 is not a prime number as it can be divided by 1, 3, 5, and 15.