Mixed Deck — All SCAT Topics Flashcards

decrease : increase ::

Answer: shallow : deep

The analogy 'decrease : increase' establishes an antonym relationship, where the two words have opposite meanings. To decrease is the opposite of to increase. Similarly, 'shallow : deep' presents a pair of antonyms, as shallow is the opposite of deep in terms of vertical extent.

A student has an average score of 85 on three tests. If the student scores a 97 on the fourth test, what is the new average for all four tests?

Answer: 88

First, find the total points from the first three tests. An average of 85 on three tests means the total score is 3 * 85 = 255. Next, add the fourth test score to this total: 255 + 97 = 352. To find the new average, divide the new total by the number of tests, which is now four: 352 / 4 = 88.

A pie chart shows 25% of students prefer math, 40% science, 20% English, and 15% history. If there are 200 students, how many prefer science?

Answer: 80

40% of 200 = 0.40 × 200 = 80 students.

Which column is bigger?

Answer: Column A is greater

When Column A is greater, it means that the numerical value or quantity presented in Column A consistently exceeds that of Column B. After performing any necessary calculations or comparisons, Column A would always be found to have a larger magnitude. Without the actual columns, we infer this based on the provided correct answer.

Compare: Column A: 7/12 - 1/4 versus Column B: 1/3. Which is greater?

Answer: They are equal

7/12 - 1/4 = 7/12 - 3/12 = 4/12 = 1/3, which equals Column B.

Which word is OPPOSITE in meaning to AUDACIOUS?

Answer: Timid

Audacious means willing to take bold risks; its antonym is 'timid,' meaning lacking courage or confidence.

A sequence starts at 3 and each term is multiplied by 4 to get the next. What is the 4th term?

Answer: 192

The sequence is 3, 12, 48, 192; the 4th term is 192.

A 40-liter mixture is 25% alcohol. How many liters of pure alcohol must be added to make the mixture 40% alcohol?

Answer: 10 liters

Setting up (10 + x)/(40 + x) = 0.40 and solving gives x = 10 liters.

CHAPTER is to BOOK as ACT is to _______.

Answer: PLAY

This is a 'part to whole' analogy. A CHAPTER is a main division of a BOOK. Likewise, an ACT is a main division of a PLAY.

A bag contains 5 red balls and 3 blue balls. If one ball is drawn at random, what is the probability it is red?

Answer: 5/8

P(red) = 5 favorable outcomes ÷ 8 total balls = 5/8.

INSOMNIA : SLEEP :: AMNESIA : _____

Answer: MEMORY

Insomnia is a condition characterized by the inability to sleep, just as amnesia is a condition characterized by the loss of memory.

ARID : DRY :: FRIGID : _____

Answer: COLD

Arid means extremely dry, and frigid means extremely cold — both are formal synonyms of their paired common word.

A student scored 85, 90, 78, and 92 on four tests. What score is needed on the fifth test to average exactly 88?

Answer: 95

Required total = 5 × 88 = 440; current total = 345; fifth score = 440 − 345 = 95.

A recipe requires 2.5 cups of flour to make 24 cookies. How many cups are needed to make 60 cookies?

Answer: 6.25 cups

Scale factor = 60 ÷ 24 = 2.5, so flour needed = 2.5 × 2.5 = 6.25 cups.

An investment of $1,000 earns 10% simple interest per year. How much total interest is earned after 3 years?

Answer: $300

Simple interest = P × r × t = $1,000 × 0.10 × 3 = $300.

Which column is bigger?

Answer: Not enough information is given

Similar to Q1, the absence of specific content for Column A and Column B makes it impossible to compare them. Without the actual values, expressions, or conditions for each column, one cannot logically determine if one is larger, if they are equal, or if the relationship varies. Thus, the information provided is insufficient for a definitive comparison.

Pipe A fills a tank in 3 hours; Pipe B drains it in 5 hours. With both pipes open, how long does it take to fill an empty tank?

Answer: 7.5 hours

Net rate = 1/3 − 1/5 = 2/15 per hour, so time = 15/2 = 7.5 hours.

Five houses stand in a row, painted Red, Blue, Green, Yellow, and White. The Green house is to the right of the Yellow house. The Blue house is not at either end of the row. The Red house is exactly between the Green and the White houses. If the Yellow house is at the far left end, which house is in the middle?

Answer: White

Given the Yellow house is first (Position 1). The Blue house cannot be at an end (so not in 1 or 5). The Red house is between Green and White, forming a G-R-W or W-R-G block. The only arrangement that fits all rules is: Yellow, Blue, White, Red, Green. This places Yellow at the far left, Blue is not at an end, the G-R-W block is intact (with Blue in between), and Green is to the right of Yellow. In this order, the house in the middle (Position 3) is the White house.

Compare the quantities in Column A and Column B. Given: x = 3 and y = -2 **Column A:** (x + y)² **Column B:** x² + y²

Answer: Quantity B is greater.

Substitute the given values into the expression for Quantity A: (3 + (-2))² = (1)² = 1. Substitute the values into the expression for Quantity B: (3)² + (-2)² = 9 + 4 = 13. Since 13 is greater than 1, Quantity B is greater.

CATERPILLAR : BUTTERFLY :: TADPOLE : _____

Answer: FROG

A caterpillar undergoes metamorphosis to become a butterfly, just as a tadpole undergoes metamorphosis to become a frog.