Free Quantitative Reasoning MCQs with Answers

181. 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

• A. 14.27 % gain
• B. 15% gain
• C. 14 2/7% loss
• D. 15% loss

Explanation: To find the percentage of profit or loss, first determine the cost price and selling price per orange. The cost price of 1 orange is Rs. 350 divided by 100, which equals Rs. 3.50. The selling price for a dozen (12) oranges is Rs. 48, so the selling price of 1 orange is Rs. 48 divided by 12, which equals Rs. 4.00.The profit per orange is Rs. 4.00 - Rs. 3.50 = Rs. 0.50. To find the profit percentage, divide the profit by the cost price: (0.50 / 3.50) x 100% = 14.27% gain.Thus, Option A is correct. Options B, C, and D are incorrect because they either miscalculate the percentage or mistakenly suggest a loss instead of a gain.

182. Rodney borrowed $3500 from the student credit union for 2 years at 8% per annum simple interest with repayments made by equal installments at the the end of each calendar moth. The amount Rodney has to pay at the end of each month to the nearest dollar is:

• A. $169
• B. $221
• C. $280
• D. $23

Explanation: To calculate the monthly payment for a simple interest loan with equal installments, use the formula:Monthly Payment = (Principal + (Principal × Annual Interest Rate × Number of Years)) / Number of PaymentsFor this problem:Principal (P) = $3500, Annual Interest Rate (r) = 8% or 0.08, Number of Years (t) = 2, and Number of Payments = 24 (since payments are monthly for 2 years).Substitute into the formula:Monthly Payment = (3500 + (3500 × 0.08 × 2)) / 24Monthly Payment = (3500 + 560) / 24 = 4060 / 24 = 169.17Rounding to the nearest dollar, the correct monthly payment is $169.Option B ($221), Option C ($280), and Option D ($23) are incorrect because they do not result from the correct application of the formula.

183. The list price of a television set is t dollars.

• A. The quantity on the left is greater
• B. The quantity on the right is greater
• C. Both are equal
• D. The relationship cannot be determined without further information

Explanation: The original price of the television is represented by t dollars. When a 15% discount is given, the new price is calculated as 85% of the original price, which is 0.85t. This shows that both quantities are indeed equal, as they both represent the discounted price of the television. Option C correctly identifies this equality, while Options A and B are incorrect as they assume a calculation error. Option D is incorrect because the information provided is sufficient to determine the relationship between the quantities.

184. Aisha chose a whole number and multiplied it by 3. Which of the following numbers could not be her answer?

• A. 103
• B. 105
• C. 204
• D. 444

Explanation: The very first solution that comes to our mind is the one that we learned in school. If the sum of digits in a number is a multiple of 3 then the number is a multiple of 3, e.g., for 612, the sum of digits is 9 so it's a multiple of 3. Here 1+0+3 equals 4 hence it is not a multiple of three, the others however are such 1+5 = 6 2+4= 6 4+4+4= 12 These are all divisible by 3 so are multiples of 3

185. If the sum of five consecutive positive integers is 2005, then the largest of these numbers is

• A. 401
• B. 403
• C. 405
• D. 2001

Explanation: The sequence of 5 consecutive positive integers whose sum is 2005 is 399, 400, 401, 402 and 403. Hence the largest is 403.

186. There are 10 pupils in a dance class. Their teacher has 80 jelly beans. After she gives the same number of jelly beans to each of the girls in the class, there are 3 jelly beans leftover. How many boys are there in the class?

• A. 1
• B. 2
• C. 3
• D. 5

Explanation: 3 (, 9 - in a specific case) Showing the work. The teacher distributed 77(80-3) jellybeans among the girls in class. For the 77 jellybeans to be distributed equally, the number of girls has to be divisible by 77. The only factors of 77 are 1, 7, 11, 77. out of which only 1, 7 is less than 10. Taking a licence to use the semantics of the question, it mentions distribution to girls(plural), which discounts 1 as the number of girls. Hence the number of girls is 7 with that assumption and since the total is 10 pupils, the number of Boys is 3. Ignoring that crucial semantic 1 girl(gets 77 jellybeans and a cavity) and 9 Boys achieves the same result

187. A bridge is built across the river. The river is 120 metres wide. One quarter of the bridge is over the left river bank and one quarter of the bridge is over the right river bank. How long is the bridge?

• A. 150 m
• B. 180 m
• C. 210 m
• D. 240 m

Explanation: The river is 120 metres wide. If one quarter of the bridge is over the left bank and another quarter is over the right bank, this means half the bridge spans the river, while one quarter of the total length extends on each side. Therefore, the bridge length is twice the width of the river: 120 metres divided by the half that spans the river equals 240 metres in total length. This explains why Option D is correct. Options A, B, and C are incorrect as they do not account for the full length needed when adding the quarters on each side of the river.

188. Which of the following fractions is smaller than 2?

• A. 19/ 8
• B. 20/9
• C. 21/10
• D. 23/13

Explanation: It equals 1.7692307. As it is less than 2, this option will be marked as the correct option.

189. At National School, 50% of the students have bicycles. Of the students who have bicycles, 30% have black bicycles. What percent of students of National School have black bicycles?

• A. 15%
• B. 20%
• C. 25%
• D. 46%

Explanation: To solve the question, we first determine the percentage of students who have bicycles. The question states that 50% of the students have bicycles. Next, we find the percentage of those students who have black bicycles. The question tells us that 30% of the students with bicycles have black ones.To find the overall percentage of students who have black bicycles, we multiply the two percentages together: 50% * 30% = 0.5 * 0.3 = 0.15, which corresponds to 15%.Therefore, 15% of the students at National School have black bicycles. The other options (20%, 25%, and 46%) are incorrect because they do not correctly multiply the percentages provided in the question.

190. Mike cuts a pizza into quarters. Then he cuts every quarter into thirds. What part of the whole pizza is one piece?

• A. A third
• B. An eighth
• C. A quarter
• D. A twelfth

Explanation: When the pizza is first cut to quarters it has four parts, with every quarter cut into thirds the pizza has 12 parts, now each piece is one twelfth.