Arithmetic Aptitude for Competitive Exam Success

Arithmetic Aptitude

Approximation & Simplification Banking Awareness Cloze Test Data Interpretation - Caselets Data Sufficiency - Banking Type Error Detection - Grammar Financial Markets Basics Mixtures and Alligations Mixtures and Alligations - Common Mistakes Mixtures and Alligations - Practice Problems with Solutions Mixtures and Alligations - Shortcuts and Tricks Number Series Para Jumbles Problems on Trains and Boats Problems on Trains and Boats - Common Mistakes Problems on Trains and Boats - Practice Problems with Solutions Problems on Trains and Boats - Shortcuts and Tricks Profit and Loss Problems Profit and Loss Problems - Common Mistakes Profit and Loss Problems - Practice Problems with Solutions Profit and Loss Problems - Shortcuts and Tricks Quadratic Equations for Banking Ratio, Proportion and Partnership Ratio, Proportion and Partnership - Common Mistakes Ratio, Proportion and Partnership - Practice Problems with Solutions Ratio, Proportion and Partnership - Shortcuts and Tricks Reading Comprehension - Banking Level Sentence Improvement Simple and Compound Interest Simple and Compound Interest - Common Mistakes Simple and Compound Interest - Practice Problems with Solutions Simple and Compound Interest - Shortcuts and Tricks Time and Work Problems Time and Work Problems - Common Mistakes Time and Work Problems - Practice Problems with Solutions Time and Work Problems - Shortcuts and Tricks Time, Speed and Distance Time, Speed and Distance - Common Mistakes Time, Speed and Distance - Practice Problems with Solutions Time, Speed and Distance - Shortcuts and Tricks

Q. If a sequence is defined by a_n = 3n + 1, what is a_5?

A. 14
B. 15
C. 16
D. 17

Solution

a_5 = 3(5) + 1 = 15 + 1 = 16.

Correct Answer: A — 14

Q. If a sequence starts with 2 and each term is multiplied by 3, what is the 4th term?

A. 18
B. 54
C. 162
D. 486

Solution

The sequence is 2, 6, 18, 54; the 4th term is 54.

Correct Answer: C — 162

Q. If n is an even integer, which of the following is always odd?

A. n + 1
B. n + 2
C. n - 2
D. n - 1

Solution

n - 1 is odd since subtracting 1 from an even number results in an odd number.

Correct Answer: D — n - 1

Q. If n is an odd integer, which of the following is always even?

A. n + 1
B. n - 1
C. 2n
D. All of the above

Solution

Both n + 1 and n - 1 are even, and 2n is always even.

Correct Answer: D — All of the above

Q. If the sequence is defined by a_n = 3n + 1, what is a_4?

A. 10
B. 11
C. 12
D. 13

Solution

a_4 = 3(4) + 1 = 12 + 1 = 13.

Correct Answer: A — 10

Q. If x + 3 = 10, what is the value of x?

A. 5
B. 6
C. 7
D. 8

Solution

x = 10 - 3 = 7.

Correct Answer: B — 6

Q. If x + 5 = 12, what is the value of x?

A. 5
B. 7
C. 12
D. 17

Solution

Subtracting 5 from both sides gives x = 7.

Correct Answer: B — 7

Q. If x = 3, what is the value of 2x^2 - 5?

A. 1
B. 7
C. 10
D. 11

Solution

Substituting x = 3 gives 2(3^2) - 5 = 18 - 5 = 13.

Correct Answer: B — 7

Q. If x is an integer such that 3x + 5 is even, what can be said about x?

A. x is even
B. x is odd
C. x can be any integer
D. x is a prime number

Solution

For 3x + 5 to be even, x must be odd.

Correct Answer: A — x is even

Q. If x ≡ 3 (mod 5), what is the value of x when x is the smallest positive integer?

A. 1
B. 2
C. 3
D. 4

Solution

The smallest positive integer satisfying x ≡ 3 (mod 5) is 3.

Correct Answer: C — 3

Q. Solve for x: 3x + 5 = 20.

A. 5
B. 10
C. 15
D. 20

Solution

3x = 15, so x = 5.

Correct Answer: A — 5

Q. What is 12 mod 7?

A. 5
B. 4
C. 3
D. 2

Solution

12 divided by 7 is 1 with a remainder of 5, so 12 mod 7 = 5.

Correct Answer: A — 5

Q. What is 15 divided by 4?

A. 3.75
B. 4
C. 3
D. 3.5

Solution

15 divided by 4 equals 3.75.

Correct Answer: A — 3.75

Q. What is 15 mod 4?

A. 1
B. 2
C. 3
D. 0

Solution

15 divided by 4 is 3 with a remainder of 3.

Correct Answer: C — 3

Q. What is 7 mod 3?

A. 1
B. 2
C. 3
D. 0

Solution

7 divided by 3 gives a remainder of 1.

Correct Answer: B — 2

Q. What is the 10th term of the arithmetic sequence 2, 5, 8, ...?

A. 29
B. 30
C. 31
D. 32

Solution

The nth term is given by 2 + (n-1) * 3. For n=10, it is 2 + 27 = 29.

Correct Answer: A — 29

Q. What is the 5th term in the arithmetic sequence 2, 5, 8, ...?

A. 14
B. 15
C. 16
D. 17

Solution

The common difference is 3. The 5th term is 2 + 4*3 = 14.

Correct Answer: A — 14

Q. What is the 5th term of the arithmetic sequence 2, 5, 8, ...?

A. 11
B. 14
C. 17
D. 20

Solution

The common difference is 3; the 5th term is 2 + 4*3 = 14.

Correct Answer: B — 14

Q. What is the 5th term of the arithmetic sequence 3, 7, 11, ...?

A. 15
B. 19
C. 23
D. 27

Solution

The common difference is 4; thus, the 5th term is 3 + 4*4 = 19.

Correct Answer: B — 19

Q. What is the 5th term of the arithmetic sequence where the first term is 2 and the common difference is 3?

A. 11
B. 14
C. 17
D. 20

Solution

The nth term is given by a_n = a_1 + (n-1)d. Here, a_5 = 2 + 4*3 = 14.

Correct Answer: B — 14

Q. What is the greatest common divisor (GCD) of 12 and 15?

A. 1
B. 3
C. 4
D. 6

Solution

The GCD of 12 and 15 is 3, as it is the largest number that divides both.

Correct Answer: B — 3

Q. What is the greatest common divisor (GCD) of 36 and 60?

A. 6
B. 12
C. 18
D. 24

Solution

The GCD of 36 and 60 is 12.

Correct Answer: B — 12

Q. What is the greatest common divisor (GCD) of 48 and 180?

A. 6
B. 12
C. 24
D. 36

Solution

The GCD of 48 and 180 is 12.

Correct Answer: B — 12

Q. What is the greatest common divisor (GCD) of 48 and 18?

A. 6
B. 12
C. 18
D. 24

Solution

GCD(48, 18) = 6.

Correct Answer: A — 6

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

A. 20
B. 24
C. 32
D. 36

Solution

The sequence doubles each time, so the next number is 32.

Correct Answer: C — 32

Q. What is the next term in the sequence 2, 4, 8, 16?

A. 20
B. 24
C. 32
D. 36

Solution

The sequence doubles each time, so the next term is 32.

Correct Answer: C — 32

Q. What is the product of the roots of the polynomial x^2 - 5x + 6?

A. 6
B. 5
C. 4
D. 3

Solution

The product of the roots is given by c/a = 6/1 = 6.

Correct Answer: A — 6

Q. What is the remainder when 12345 is divided by 7?

A. 1
B. 2
C. 3
D. 4

Solution

12345 mod 7 = 4, so the remainder is 4.

Correct Answer: B — 2

Q. What is the remainder when 25 is divided by 4?

A. 1
B. 2
C. 3
D. 0

Solution

25 divided by 4 gives a quotient of 6 and a remainder of 1.

Correct Answer: C — 3

Q. What is the remainder when 37 is divided by 5?

A. 0
B. 1
C. 2
D. 3

Solution

37 divided by 5 gives a quotient of 7 and a remainder of 2.

Correct Answer: C — 2

Showing 31 to 60 of 108 (4 Pages)