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General Intelligence Number Series Number Series Q. #6526 (CAT-I)

Find the missing term in the sequence: 3, 12, 27, 48, 75, 108, ?

A. 147

B. 162

C. 183

D. 192

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Correct Answer: Option A

The pattern of the sequence is 3 × n² where n = 1, 2, 3, 4, 5, 6, 7: 3 × 1² = 3 × 1 = 3 3 × 2² = 3 × 4 = 12 3 × 3² = 3 × 9 = 27 3 × 4² = 3 × 16 = 48 3 × 5² = 3 × 25 = 75 3 × 6² = 3 × 36 = 108 3 × 7² = 3 × 49 = 147 • Hence, the correct term is 147.

General Intelligence Number Series Number Series Q. #6525 (CAT-I)

What is the next term in the given number series: 2, 6, 12, 20, 30, 42, 56, ?

A. 64

B. 70

C. 72

D. 76

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Correct Answer: Option C

The series follows the pattern of consecutive product of integers n × (n + 1) or adding consecutive even numbers: 1 × 2 = 2 2 × 3 = 6 3 × 4 = 12 4 × 5 = 20 5 × 6 = 30 6 × 7 = 42 7 × 8 = 56 8 × 9 = 72 • Thus, the next number in the sequence is 72.

General Intelligence Number Series Number Series Q. #6524 (CAT-I)

Find the missing number in the series: 5, 16, 49, 148, ?

A. 440

B. 441

C. 443

D. 445

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Correct Answer: Option D

The underlying pattern multiplies the previous term by 3 and adds 1: 5 × 3 + 1 = 16 16 × 3 + 1 = 49 49 × 3 + 1 = 148 148 × 3 + 1 = 445 • Therefore, the missing term is 445.

General Intelligence Number Series Number Series Q. #6523 (CAT-I)

Find the wrong number in the sequence: 102, 101, 98, 93, 86, 74, 66, 53

A. 101

B. 93

C. 74

D. 66

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Correct Answer: Option C

• The pattern involves subtracting consecutive odd numbers starting from 1. 102 - 1 = 101 101 - 3 = 98 98 - 5 = 93 93 - 7 = 86 86 - 9 = 77 77 - 11 = 66 66 - 13 = 53 • Hence, the number 74 is incorrect and must be replaced by 77.

General Intelligence Number Series Number Series Q. #6522 (CAT-I)

Identify the incorrect number in the series: 380, 188, 92, 48, 20, 8, 2

A. 92

B. 48

C. 20

D. 188

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Correct Answer: Option B

• The recurring pattern from one term to the next is (÷ 2 - 2). 380 ÷ 2 - 2 = 190 - 2 = 188 188 ÷ 2 - 2 = 94 - 2 = 92 92 ÷ 2 - 2 = 46 - 2 = 44 44 ÷ 2 - 2 = 22 - 2 = 20 20 ÷ 2 - 2 = 10 - 2 = 8 8 ÷ 2 - 2 = 4 - 2 = 2 • Thus, 48 is the wrong term; it should be 44.

General Intelligence Number Series Number Series Q. #6521 (CAT-I)

Find the wrong number in the following series: 8, 14, 26, 48, 98, 194, 386

A. 14

B. 26

C. 48

D. 98

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Correct Answer: Option C

• The difference between consecutive terms doubles at each step. 14 - 8 = 6 26 - 14 = 12 = (6 × 2) Next term should be 26 + 24 = 50 50 + 48 = 98 98 + 96 = 194 194 + 192 = 386 • Therefore, 48 is incorrect and should be replaced by 50.

General Intelligence Number Series Number Series Q. #6520 (CAT-I)

Find the incorrect (wrong) number in the given series: 1, 8, 27, 64, 124, 216, 343

A. 27

B. 64

C. 216

D. 124

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Correct Answer: Option D

• The terms in the series are standard cubes of consecutive natural numbers n³. 1³ = 1 2³ = 8 3³ = 27 4³ = 64 5³ = 125 6³ = 216 7³ = 343 • Hence, the number 124 is incorrect; it should be 125.

General Intelligence Number Series Number Series Q. #6519 (CAT-I)

Find the missing number in the sequence: 128, 127, 123, 114, 98, ?

A. 81

B. 73

C. 78

D. 64

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Correct Answer: Option B

• The series subtracts consecutive perfect squares starting from 1². 128 - 1² = 128 - 1 = 127 127 - 2² = 127 - 4 = 123 123 - 3² = 123 - 9 = 114 114 - 4² = 114 - 16 = 98 Missing term = 98 - 5² = 98 - 25 = 73

General Intelligence Number Series Number Series Q. #6518 (CAT-I)

What will replace the question mark in the following series: 7, 15, 29, 59, 117, ?

A. 235

B. 268

C. 243

D. 290

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Correct Answer: Option A

• The pattern alternates between (× 2 + 1) and (× 2 - 1). 7 × 2 + 1 = 15 15 × 2 - 1 = 29 29 × 2 + 1 = 59 59 × 2 - 1 = 117 Missing term = 117 × 2 + 1 = 234 + 1 = 235

General Intelligence Number Series Number Series Q. #6517 (CAT-I)

Find the missing term in the sequence: 49, 121, 169, 289, ?

A. 400

B. 529

C. 361

D. 441

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Correct Answer: Option C

• The series consists of the squares of consecutive prime numbers. 7² = 49 11² = 121 13² = 169 17² = 289 The next prime number after 17 is 19. Missing term = 19² = 361

General Intelligence Number Series Number Series Q. #6516 (CAT-I)

Find the missing number in the following series: 24, 60, 120, 210, ?

A. 336

B. 300

C. 420

D. 525

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Correct Answer: Option A

• Each term in the series is represented by the formula n³ - n for consecutive integers starting from n = 3. 3³ - 3 = 27 - 3 = 24 4³ - 4 = 64 - 4 = 60 5³ - 5 = 125 - 5 = 120 6³ - 6 = 216 - 6 = 210 Missing term = 7³ - 7 = 343 - 7 = 336

General Intelligence Number Series Number Series Q. #6515 (CAT-I)

Find the missing number in the given series: 2, 5, 9, 19, 37, ?

A. 73

B. 75

C. 76

D. 78

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Correct Answer: Option B

• The series follows an alternating arithmetic-multiplication rule: multiply by 2 and alternately add 1 or subtract 1. 2 × 2 + 1 = 5 5 × 2 - 1 = 9 9 × 2 + 1 = 19 19 × 2 - 1 = 37 Missing term = 37 × 2 + 1 = 75

General Intelligence Number Series Number Series Q. #6514 (CAT-I)

Find the missing number in the series: 3, 5, 10, 17, 29, 48, ?

A. 72

B. 77

C. 82

D. 79

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Correct Answer: Option D

• The differences between consecutive terms follow a Fibonacci-like pattern where each difference is the sum of the preceding two differences. 5 - 3 = 2 10 - 5 = 5 17 - 10 = 7 (where 2 + 5 = 7) 29 - 17 = 12 (where 5 + 7 = 12) 48 - 29 = 19 (where 7 + 12 = 19) Next difference = 12 + 19 = 31 Missing term = 48 + 31 = 79

Mathematics Compound Interest Compound Interest Q. #6513 (CAT-I)

বার্ষিক কত চক্রবৃদ্ধি সুদের হারে 2,000 টাকা 3 বছরে সুদে-আসলে 2,662 টাকা হবে?

A. 8%

B. 12%

C. 10%

D. 15%

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Correct Answer: Option C

• সূত্র: A = P(1 + r/100)ⁿ এখানে, P = 2000, A = 2662, n = 3 বছর 2662 = 2000 × (1 + r/100)³ 2662 / 2000 = (1 + r/100)³ 1331 / 1000 = (1 + r/100)³ (11/10)³ = (1 + r/100)³ 11/10 = 1 + r/100 r/100 = 11/10 - 1 = 1/10 r = 100/10 = 10% • অতএব, বার্ষিক সুদের হার 10%।

Mathematics Compound Interest Compound Interest Q. #6512 (CAT-I)

বার্ষিক 20% চক্রবৃদ্ধি সুদের হারে 8,000 টাকার 1 বছরের সমূল চক্রবৃদ্ধি কত হবে, যদি সুদ প্রতি 6 মাস অন্তর ধার্য করা হয়?

A. 9,680 টাকা

B. 9,600 টাকা

C. 9,720 টাকা

D. 9,800 টাকা

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Correct Answer: Option A

• অর্ধবার্ষিক চক্রবৃদ্ধি সুদের ক্ষেত্রে: সুদের হার R = 20% ÷ 2 = 10% সময় n = 1 × 2 = 2 টি অর্ধবছর • সমূল চক্রবৃদ্ধি A = P(1 + R/100)ⁿ A = 8000 × (1 + 10/100)² A = 8000 × (11/10) × (11/10) A = 8000 × (121/100) A = 80 × 121 = 9,680 টাকা।