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ADF JOA Numerical study materials
ADF JOA Numerical study resources

ADF JOA Numerical practice questions

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Question 1Number Series and Pattern Recognition

What is the next number in the sequence: 2, 4, 6, 8, ...?

  1. 10 Correct answer.
  2. 12
  3. 11
  4. 9

Explanation

The sequence increases by 2 each time. Adding 2 to the last term 8 gives 10.

Question 2Number Series and Pattern Recognition

What is the next number in the sequence: 1, 4, 9, 16, ...?

  1. 25 Correct answer.
  2. 24
  3. 36
  4. 20

Explanation

These are the squares of consecutive integers: 1^2, 2^2, 3^2, 4^2. The next is 5^2 = 25.

Question 3Number Series and Pattern Recognition

Find the next number: 1, 1, 2, 3, 5, 8, ...

  1. 12
  2. 10
  3. 13 Correct answer.
  4. 11

Explanation

This is the Fibonacci sequence, where each term is the sum of the two preceding terms. 5 + 8 = 13.

Question 4Number Series and Pattern Recognition

What is the next term in the pattern: 1, 8, 27, 64, ...?

  1. 125 Correct answer.
  2. 81
  3. 121
  4. 100

Explanation

These are cubes of consecutive integers: 1^3, 2^3, 3^3, 4^3. The next is 5^3 = 125.

Question 5Number Series and Pattern Recognition

What is the next number in the sequence: 2, 5, 10, 17, ...?

  1. 27
  2. 24
  3. 26 Correct answer.
  4. 25

Explanation

The differences between consecutive terms are 3, 5, 7, which increase by 2. The next difference should be 9, so 17 + 9 = 26.

Question 6Number Series and Pattern Recognition

Find the next term: 1, 4, 27, 256, ...

  1. 3125 Correct answer.
  2. 1024
  3. 625
  4. 729

Explanation

Each term is n^n for n = 1, 2, 3, 4. The next is 5^5 = 3125.

Question 7Number Series and Pattern Recognition

What is the next number in the series: 3, 7, 15, 31, ...?

  1. 64
  2. 65
  3. 62
  4. 63 Correct answer.

Explanation

Each term is one less than a power of 2: 2^2-1, 2^3-1, 2^4-1, 2^5-1. The next is 2^6-1 = 63.

Question 8Number Series and Pattern Recognition

Identify the next term: 5, 11, 23, 47, ...

  1. 93
  2. 94
  3. 96
  4. 95 Correct answer.

Explanation

Each term is obtained by doubling the previous term and adding 1: 5*2+1=11, 11*2+1=23, 23*2+1=47. The next is 47*2+1=95.

Question 9Number Series and Pattern Recognition

What comes next: 2, 6, 12, 20, 30, ...?

  1. 42 Correct answer.
  2. 36
  3. 40
  4. 44

Explanation

The terms are n(n+1) for n=1,2,3,4,5: 1*2=2, 2*3=6, 3*4=12, 4*5=20, 5*6=30. The next is 6*7=42.

Question 10Number Series and Pattern Recognition

Find the next number: 1, 2, 6, 24, 120, ...

  1. 480
  2. 720 Correct answer.
  3. 600
  4. 840

Explanation

The sequence gives factorials: 1!, 2!, 3!, 4!, 5!. The next is 6! = 720.

Question 11Number Series and Pattern Recognition

What is the next term in the sequence: 0, 3, 8, 15, 24, ...?

  1. 33
  2. 34
  3. 35 Correct answer.
  4. 36

Explanation

The terms are n^2 - 1 for n=1,2,3,4,5: 1-1=0, 4-1=3, 9-1=8, 16-1=15, 25-1=24. The next is 36-1=35.

Question 12Number Series and Pattern Recognition

Find the next term: 1, 2, 4, 7, 11, 16, ...

  1. 22 Correct answer.
  2. 23
  3. 20
  4. 21

Explanation

The differences between consecutive terms are 1, 2, 3, 4, 5, which increase by 1 each time. The next difference should be 6, so 16 + 6 = 22.

Question 13Number Series and Pattern Recognition

What is the next number in the pattern: 2, 12, 36, 80, 150, ...?

  1. 240
  2. 252 Correct answer.
  3. 260
  4. 216

Explanation

The terms can be written as n^3 + n^2 for n=1,2,3,4,5: 1+1=2, 8+4=12, 27+9=36, 64+16=80, 125+25=150. The next is 216+36=252.

Question 14Number Series and Pattern Recognition

Find the next term: 1, 3, 7, 15, 31, ...

  1. 63 Correct answer.
  2. 64
  3. 65
  4. 62

Explanation

Each term is one less than a power of 2: 2^1-1, 2^2-1, 2^3-1, 2^4-1, 2^5-1. The next is 2^6-1 = 63.

Question 15Number Series and Pattern Recognition

What is the next number in the sequence: 4, 9, 16, 25, 36, ...?

  1. 64
  2. 48
  3. 49 Correct answer.
  4. 50

Explanation

These are squares of consecutive integers starting from 2: 2^2, 3^2, 4^2, 5^2, 6^2. The next is 7^2 = 49.

Question 16Number Series and Pattern Recognition

Identify the next term: 3, 5, 9, 17, 33, ...

  1. 65 Correct answer.
  2. 66
  3. 63
  4. 64

Explanation

Each term is obtained by doubling the previous term and subtracting 1: 3*2-1=5, 5*2-1=9, 9*2-1=17, 17*2-1=33. The next is 33*2-1=65.

Question 17Number Series and Pattern Recognition

What is the next number in the series: 1, 1, 2, 6, 24, ...?

  1. 96
  2. 120 Correct answer.
  3. 144
  4. 100

Explanation

The sequence is the factorial numbers: 0!, 1!, 2!, 3!, 4!. The next is 5! = 120.

Question 18Number Series and Pattern Recognition

Find the next term: 2, 8, 18, 32, 50, ...

  1. 70
  2. 72 Correct answer.
  3. 68
  4. 74

Explanation

The terms are 2n^2 for n=1,2,3,4,5: 2, 8, 18, 32, 50. The next is 2*6^2 = 72.

Question 19Number Series and Pattern Recognition

What is the next number in the sequence: 1, 4, 10, 20, 35, ...?

  1. 56 Correct answer.
  2. 55
  3. 54
  4. 57

Explanation

The differences are 3, 6, 10, 15, which are triangular numbers. The next difference should be 21, so 35 + 21 = 56.

Question 20Number Series and Pattern Recognition

Identify the next term: 2, 5, 11, 23, 47, ...

  1. 96
  2. 93
  3. 95 Correct answer.
  4. 94

Explanation

The pattern is to double the previous term and add 1: 2*2+1=5, 5*2+1=11, 11*2+1=23, 23*2+1=47. The next is 47*2+1=95.

Question 21Number Series and Pattern Recognition

Find the next number: 3, 7, 16, 35, 74, ...

  1. 152
  2. 153 Correct answer.
  3. 154
  4. 151

Explanation

Each term is obtained by doubling the previous term and adding an increasing integer: 3*2+1=7, 7*2+2=16, 16*2+3=35, 35*2+4=74. The next is 74*2+5=153.

Question 22Number Series and Pattern Recognition

What is the next number in the sequence: 2, 4, 8, 16, ...?

  1. 24
  2. 20
  3. 18
  4. 32 Correct answer.

Explanation

Each term is double the previous term. Therefore, the next term is 16 × 2 = 32.

Question 23Number Series and Pattern Recognition

What is the next number in the sequence: 100, 90, 81, 73, ...?

  1. 65
  2. 67
  3. 66 Correct answer.
  4. 64

Explanation

The differences between consecutive terms are 10, 9, and 8, decreasing by 1 each time. The next difference should be 7, so 73 − 7 = 66.

Question 24Number Series and Pattern Recognition

What is the next number in the sequence: 3, 6, 12, 24, ...?

  1. 48 Correct answer.
  2. 36
  3. 42
  4. 30

Explanation

Each term is multiplied by 2 to get the next term. Thus, 24 × 2 = 48.

Question 25Number Series and Pattern Recognition

What is the next number in the sequence: 1, 2, 4, 8, 16, ...?

  1. 32 Correct answer.
  2. 20
  3. 18
  4. 24

Explanation

The sequence doubles each time. Therefore, the next term is 16 × 2 = 32.

Question 26Number Series and Pattern Recognition

What is the next number in the sequence: 2, 3, 5, 7, 11, ...?

  1. 12
  2. 14
  3. 15
  4. 13 Correct answer.

Explanation

The sequence consists of prime numbers in order. The next prime after 11 is 13.

Question 27Number Series and Pattern Recognition

What is the next number in the sequence: 1, 3, 6, 10, 15, ...?

  1. 21 Correct answer.
  2. 22
  3. 20
  4. 18

Explanation

These are triangular numbers, where each term is the sum of the first n natural numbers. The differences are 2, 3, 4, 5, so the next difference is 6, giving 15 + 6 = 21.

Question 28Number Series and Pattern Recognition

What is the next number in the sequence: 2, 4, 12, 48, ...?

  1. 96
  2. 144
  3. 192
  4. 240 Correct answer.

Explanation

Each term is multiplied by an increasing integer: ×2, ×3, ×4. The next multiplier is ×5, so 48 × 5 = 240.

Question 29Number Series and Pattern Recognition

What is the next number in the sequence: 1, 4, 9, 16, 25, ...?

  1. 49
  2. 30
  3. 36 Correct answer.
  4. 35

Explanation

These are perfect squares: 1^2, 2^2, 3^2, etc. The next square is 6^2 = 36.

Question 30Number Series and Pattern Recognition

What is the next number in the sequence: 2, 6, 12, 20, 30, ...?

  1. 40
  2. 44
  3. 36
  4. 42 Correct answer.

Explanation

Each term is n(n+1) for n=1,2,3,... The differences are 4,6,8,10, so the next difference is 12, giving 30+12=42.

Question 31Number Series and Pattern Recognition

What is the next number in the sequence: 1, 2, 4, 7, 11, ...?

  1. 17
  2. 16 Correct answer.
  3. 15
  4. 14

Explanation

The differences between terms are 1, 2, 3, 4, increasing by 1. The next difference is 5, so 11 + 5 = 16.

Question 32Number Series and Pattern Recognition

What is the next number in the sequence: 2, 3, 5, 9, 17, ...?

  1. 35
  2. 29
  3. 31
  4. 33 Correct answer.

Explanation

Each term after the first is obtained by doubling the previous term and subtracting 1: 2×2−1=3, 3×2−1=5, etc. So 17×2−1=33.

Question 33Number Series and Pattern Recognition

What is the next number in the sequence: 1, 2, 6, 24, 120, ...?

  1. 720 Correct answer.
  2. 480
  3. 840
  4. 600

Explanation

The sequence is the factorial numbers: 1!, 2!, 3!, 4!, 5!. The next term is 6! = 720.

Question 34Number Series and Pattern Recognition

What is the next number in the sequence: 2, 5, 10, 17, 26, ...?

  1. 35
  2. 39
  3. 41
  4. 37 Correct answer.

Explanation

The differences are 3, 5, 7, 9, increasing by 2 each time. The next difference is 11, so 26 + 11 = 37.

Question 35Number Series and Pattern Recognition

What is the next number in the sequence: 1, 1, 2, 3, 5, 8, 13, ...?

  1. 19
  2. 21 Correct answer.
  3. 20
  4. 22

Explanation

This is the Fibonacci sequence, where each term is the sum of the two preceding terms. So 8 + 13 = 21.

Question 36Number Series and Pattern Recognition

What is the next number in the sequence: 3, 8, 15, 24, 35, ...?

  1. 44
  2. 48 Correct answer.
  3. 50
  4. 46

Explanation

Each term is n^2 + 2n for n=1,2,3,... Alternatively, differences are 5,7,9,11, so the next difference is 13, giving 35+13=48.

Question 37Number Series and Pattern Recognition

What is the next number in the sequence: 1, 8, 27, 64, 125, ...?

  1. 225
  2. 200
  3. 243
  4. 216 Correct answer.

Explanation

These are perfect cubes: 1^3, 2^3, 3^3, 4^3, 5^3. The next cube is 6^3 = 216.

Question 38Number Series and Pattern Recognition

What is the next number in the sequence: 2, 3, 7, 16, 32, ...?

  1. 57 Correct answer.
  2. 55
  3. 60
  4. 53

Explanation

The differences are 1, 4, 9, 16, which are perfect squares. The next difference is 25, so 32 + 25 = 57.

Question 39Number Series and Pattern Recognition

What is the next number in the sequence: 5, 10, 20, 40, 80, ...?

  1. 140
  2. 160 Correct answer.
  3. 100
  4. 120

Explanation

Each term is double the previous term. Therefore, the next term is 80 × 2 = 160.

Question 40Number Series and Pattern Recognition

What is the next number in the sequence: 1, 3, 8, 19, 42, ...?

  1. 91
  2. 85
  3. 87
  4. 89 Correct answer.

Explanation

Each term is obtained by doubling the previous term and adding an increasing integer: 1×2+1=3, 3×2+2=8, 8×2+3=19, 19×2+4=42. The next step is 42×2+5=89.

Question 41Arithmetic Operations and Computation

A warehouse stores 1,248 pallets in 6 identical rows. How many pallets are in each row?

  1. 198
  2. 218
  3. 228
  4. 208 Correct answer.

Explanation

Divide the total by the number of rows: 1,248 ÷ 6. Since 6 × 200 = 1,200 and 6 × 8 = 48, the quotient is 208.

Question 42Arithmetic Operations and Computation

What is 47 × 25?

  1. 1,275
  2. 1,150
  3. 1,175 Correct answer.
  4. 1,075

Explanation

Multiply 47 by 25 by breaking 25 into 100 ÷ 4: 47 × 100 = 4,700, then divide by 4 to get 1,175. Checking directly, 47 × 20 = 940 and 47 × 5 = 235, and their sum is 1,175.

Question 43Arithmetic Operations and Computation

Which number is 3,406 rounded to the nearest hundred?

  1. 3,410
  2. 3,300
  3. 3,500
  4. 3,400 Correct answer.

Explanation

Rounding to the nearest hundred examines the tens digit, which is 0. Because 0 is less than 5, the hundreds digit stays the same and the tens and ones become zero, giving 3,400.

Question 44Arithmetic Operations and Computation

A delivery van travels 84 kilometers per hour for 3.5 hours. How far does it travel?

  1. 308 km
  2. 252 km
  3. 336 km
  4. 294 km Correct answer.

Explanation

Distance equals rate times time: 84 × 3.5. Since 84 × 3 = 252 and 84 × 0.5 = 42, the total distance is 294 km.

Question 45Arithmetic Operations and Computation

What is the value of 5 + 3 × (8 − 4)?

  1. 14
  2. 20
  3. 17 Correct answer.
  4. 32

Explanation

Order of operations requires evaluating parentheses first: 8 − 4 = 4. Then multiply 3 × 4 = 12, and finally add 5 to get 17.

Question 46Arithmetic Operations and Computation

Which of these numbers is divisible by 9?

  1. 4,561
  2. 4,532
  3. 4,527 Correct answer.
  4. 4,540

Explanation

A number is divisible by 9 when the sum of its digits is divisible by 9. For 4,527 the digit sum is 4+5+2+7 = 18, which is divisible by 9.

Question 47Arithmetic Operations and Computation

A recipe uses 3/4 cup of sugar for one batch. How much sugar is needed for 2/3 of a batch?

  1. 1/2 cup Correct answer.
  2. 1/4 cup
  3. 5/12 cup
  4. 9/8 cups

Explanation

Multiply the per-batch amount by the fraction of a batch: (3/4) × (2/3). The 3s cancel and 2/4 reduces to 1/2 cup.

Question 48Arithmetic Operations and Computation

What is 0.6 written as a fraction in lowest terms?

  1. 3/5 Correct answer.
  2. 2/3
  3. 3/50
  4. 6/100

Explanation

The decimal 0.6 means 6 tenths, or 6/10. Dividing numerator and denominator by 2 gives 3/5, which is already in lowest terms.

Question 49Arithmetic Operations and Computation

A team completes 3/8 of a project in the first month and 1/4 in the second month. What fraction remains?

  1. 5/8
  2. 1/8
  3. 3/8 Correct answer.
  4. 1/2

Explanation

Convert 1/4 to eighths as 2/8, then add: 3/8 + 2/8 = 5/8 completed. The remaining fraction is 1 − 5/8 = 3/8.

Question 50Arithmetic Operations and Computation

A shirt priced at $80 is discounted by 15%, then an additional 10% is taken off the reduced price. What is the final price?

  1. $60.00
  2. $68.00
  3. $61.20 Correct answer.
  4. $62.00

Explanation

After the 15% discount the price is 80 × 0.85 = $68. The second discount of 10% applies to $68, giving 68 × 0.90 = $61.20.