Reasoning - practice problems - page 3 of 31
Number of problems found: 613
- Eggs in basket
If the eggs in a basket are removed twice at a time, one will remain. Two eggs will remain if the eggs are removed three at a time. If the eggs are removed four, five, or six at a time, the three, four, and five eggs will remain, respectively. However, no - Three 241
Three-fifths of the t-shirts in a t-shirt shop are blue. Five-eights of those T-shirts are on sale. One-third of the blue of the blue shirts that are on sale are size medium. What fraction of the shop's blue T-shirts are on sale and size medium? - Dividing by negative mixed
Susan really wants to find 2 2/3÷-1 3/7. She writes the division as 2 2/3×-1 7/3. What is wrong with Amelia's reasoning? - A ferry
A ferry with a capacity of 10 people takes a group of 13 men and 7 women across a river. Find the number of ways in which the group may be taken across the if all women go on the first group. - The track 2
The track team is trying to reduce their time for a relay race. First, they reduce their time by 2.1 minutes. Then, they are able to reduce that time by 1/10. If their final time is 3.96 minutes, what was their beginning time? Show or explain your reasoni - 52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain three aces? - Family survey
A total of 160 families with 4 children each were surveyed with the following results. Boys; 4; 3; 2; 1; 0 Girls ; 0; 1; 2; 3; 4 Families; 7; 50; 55; 32; 16 Let the probability of picking a boy or a girl be 1/2. Let P=boy, Q=girl. What is the probability - A man 11
A man is x years old. In 10 years, he will be twice as old as he was 5 years ago. How old will he be in 10 years? - Same remainder
Find the greatest number that will divide 43, 91, and 183 so as to leave the same the remainder in each case. - So far
So far on its tour, a band sold out 3 shows and did not sell out the other 3 shows. Considering this data, how many of the band's next 4 shows would you expect to be sold out? - Kenneth 2
Kenneth has 100 pennies, 20 nickels, 10 dimes, and 4 quarters. How many ways can he choose coins that total 25 cents? - Patsy
Patsy makes pillows. She needs 232 inches of trim for the edging. Trim costs $5.50 for a 3-yard spool or $1.10 per foot. What is the least amount Patsy can spend to get the trim she needs? Explain your reasoning. - Tables and chairs
The cost of 4 tables and 3 chairs is $225, and 3 tables and 4 chairs cost $195. Find the cost of 2 chairs and 1 table. - My 4
My 4-digit number is a palindrome; it has a remainder of 21 when you divide it by 100. what is my number? A palindrome is a number that does not change if you write it backward. - The sum 31
The sum of two fractions is 13 3/4. Their difference is 8 1/5. What are fractions? - Advantageous internet
We had long been using internet from Company A at €17.49 per month after the contract period. We switched to internet from Company B at €11.39 per month, with the condition that a fee of €48.38 is paid in the first month, which includes the installation. - Maroš
Mark draws two cards from a deck of Mariáš cards (32 cards). What is the probability that he draws a seven or an ace, but not the green seven? - At Junior's
A pizzeria offers pizza with tomato and cheese as a base. If a customer wishes, they may add toppings from the following options: ham, mushrooms, corn, and onion, each ingredient at most once. Every pizza is available in three sizes: small, medium, and la - Runner 6
A runner runs the first lap of a circuit at an average speed of 5 km/h. At what speed must she run the second lap so that her average speed for both laps combined is 10 km/h? - AP - sum15
Calculate the sum of the first 15 terms of the arithmetic sequence if a₁ = 5 and d = −3.
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