VERIFIED ANSWERS WITH RATIONALE LATEST 2026
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This comprehensive 200-question PICAT/ASVAB practice guide covers all
core exam subjects, including Arithmetic Reasoning, Mathematics
Knowledge, Word Knowledge, Paragraph Comprehension, General Science,
and Mechanical Comprehension. Each question provides realistic test
scenarios with multiple-choice answers, correct responses, and detailed
rationales to reinforce understanding. Topics range from basic arithmetic
operations, algebra, geometry, and probability to vocabulary building,
reading comprehension, and fundamental scientific principles like chemistry,
biology, and physics. Mechanical concepts such as simple machines,
automotive systems, and tool identification are also included. This resource
emphasizes concept mastery and test-taking strategies essential for achieving
competitive scores on military entrance examinations.
1. Mike has $5.25 in quarters and dimes. He has exactly 15 dimes. How many
quarters does he have?
A) 6
B) 12
C) 15
D) 21
Answer: C
Explanation: If Mike has 15 dimes, he has (15)($0.10) = $1.50 in dimes. Subtract
that from the total to find out how much he has in quarters: $5.25 – $1.50 = $3.75.
Then, divide that result by $0.25 to determine how many quarters he has:
$3.75/$0.25 = 15 .
2. Kelly used to pay $500 a month for rent. Now she pays $525 a month for rent.
By what percent did her rent increase?
A) 0.5%
B) 5%
C) 10%
D) 12.5%
,Answer: B
Explanation: The percent increase is the amount of increase divided by the original
amount. The increase is $525 - $500 = $25. So, $25/$500 = 0.05. Convert 0.05 to a
percent by multiplying by 100 to get 5% .
3. A bag has 8 pennies, 5 dimes, and 7 nickels. A coin is randomly chosen from the
bag. What is the probability that the coin chosen is a dime?
A) 1/20
B) 1/4
C) 1/3
D) 3/10
Answer: B
Explanation: The probability of randomly selecting a dime is equal to the number
of dimes in the bag, 5, divided by the total number of coins in the bag: 8 + 5 + 7 =
20. So, 5 ÷ 20 = 1/4 .
4. There are 2 pints in 1 quart and 4 quarts in a gallon. How many pints are in 2
gallons?
A) 32 pints
B) 16 pints
C) 8 pints
D) 4 pints
Answer: B
Explanation: 1 gallon contains 4 quarts. Therefore, 2 gallons contain 8 quarts.
Since 1 quart contains 2 pints, 8 x 2 = 16 pints .
5. Paul invests $2,000 in an account that pays 4 percent annual interest. How much
will he earn in interest in one year?
A) $160
B) $80
C) $120
D) $800
Answer: B
Explanation: Use the interest formula I = Prt, where I is the interest, P is the
principal, r is the interest rate (as a decimal), and t is the time in years. I =
$2,000(0.04)(1) = $80 .
6. One mile is equal to 5,280 feet. Sergeant Jeffries walked 1.2 miles. How many
feet did he walk?
A) 7,392 ft
,B) 1,056 ft
C) 5,780 ft
D) 6,336 ft
Answer: D
Explanation: Convert miles to feet by multiplying 1.2 miles by the conversion
factor: 1.2 x 5,280 = 6,336 ft .
7. A total of 200 people attended a conference. If 53 percent of the attendees were
women, how many attendees were women?
A) 94
B) 212
C) 53
D) 106
Answer: D
Explanation: Multiply the percent of women, 53%, as a decimal (0.53), by the
number of attendees (200): 200 x 0.53 = 106 .
8. Suppose you have $88 in your checking account. You pay $22 for a sweater and
$8 for lunch, and then you deposit a $38 check. What is the balance in your
account?
A) $58
B) $96
C) $20
D) $156
Answer: B
Explanation: Subtract the purchase amounts ($22 and $8) from the amount in your
checking account: $88 – $22 – $8 = $58. Then, add the amount of deposit: $58 +
$38 = $96 .
9. There are 24 right-handed students in a class of 30. A student is chosen from the
class at random. What is the probability that the student is left-handed?
A) 1/2
B) 1/5
C) 4/5
D) 1/4
Answer: B
Explanation: The number of left-handed students is 30 - 24 = 6. The probability of
choosing a left-handed student is 6/30. Reduce the fraction: 6/30 = 1/5 .
, 10. At a laundromat, it costs $1.75 to wash each load of laundry and $1.50 to dry
each load of laundry. How much will you pay to wash and dry four loads of
laundry?
A) $2.25
B) $20.00
C) $20.25
D) $13.00
Answer: D
Explanation: Each total load costs $1.75 + $1.50 = $3.25. Multiply that by 4 to get
the total cost of all your laundry: 3.25 × 4 = $13 .
11. Which of the following actions produces a chemical change?
A) Boiling water
B) Burning rice
C) Adding salt to hot water
D) Melting butter on cooked rice
Answer: B
Explanation: Burning rice is a chemical change because it involves a chemical
reaction (combustion) that produces new substances. Boiling water, adding salt,
and melting butter are physical changes .
12. Which of the following is a non-renewable resource?
A) Wood
B) Water
C) Copper
D) Biomass
Answer: C
Explanation: Copper is a non-renewable resource because it is a finite mineral
resource that cannot be replaced by natural means on a human timescale .
13. Particles that orbit the nucleus of an atom are:
A) Anions
B) Electrons
C) Positrons
D) Photons
Answer: B
Explanation: Electrons are negatively charged subatomic particles that orbit the
nucleus of an atom .
14. The tympanic membranes are also known as the: