Numbers and Sequences Additional One Mark Online Test

Numbers and Sequences Additional One Mark Online Test (10th Standard Mathematics)

Pick how many questions you want and set a time limit, then start. You'll get your score at the end with the correct answer and an explanation for every question. Free, in Tamil and English — 15 questions available.

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If the HCF of 120 and 45 is expressible in the form \(120x - 225\), then the value of \(x\) is

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

If a positive integer \(n\) is divided by \(7\), the remainder is \(5\). What is the remainder when \(n^2\) is divided by \(7\)?

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

If \(2^a \times 3^b \times 5^c = 3600\), where \(a\), \(b\), and \(c\) are natural numbers, then the value of \(a + b + c\) is

A.6 B.7 C.8 D.9

The least positive integer value of \(x\) satisfying the congruence \(5x \equiv 4 \pmod{6}\) is

A.2 B.4 C.5 D.8

If the general term of a sequence is \(a_n = (-1)^n (n^2 + 1)\), then the value of \(a_4 - a_3\) is

A.7 B.17 C.27 D.37

If the \(7^{\text{th}}\) term of an Arithmetic Progression is \(40\) and the \(13^{\text{th}}\) term is \(76\), then its common difference is

A.4 B.5 C.6 D.8

The sum of the first \(20\) terms of an Arithmetic Progression with first term \(5\) and common difference \(4\) is

A.800 B.820 C.860 D.900

If the \(3^{\text{rd}}\) term of a Geometric Progression is \(24\) and the \(6^{\text{th}}\) term is \(192\), then its first term is

A.3 B.4 C.6 D.12

The sum to infinity of the Geometric Progression \(12, 4, \frac{4}{3}, \dots\) is

A.16 B.18 C.20 D.24

Q10

The sum of the squares of the first \(10\) natural numbers is

A.285 B.330 C.385 D.505

Q11

If the sum of the first \(n\) natural numbers is \(15\), then the sum of their cubes is

A.125 B.225 C.625 D.3375

Q12

Using Euclid's division lemma, when the integer \(-25\) is divided by \(4\), the quotient and remainder are respectively

A.\(-6, -1\) B.\(-6, 1\) C.\(-7, 3\) D.\(-7, 1\)

Q13

The number of distinct prime factors in the prime factorization of \(13824\) is

A.2 B.3 C.5 D.6

Q14

If today is Sunday, then the day of the week \(100\) days from now (excluding today) will be

A.Monday B.Tuesday C.Wednesday D.Thursday

Q15

If the three consecutive terms \(x + 2\), \(2x + 3\), and \(5x - 1\) form an Arithmetic Progression, then the value of \(x\) is

A.2 B.3 C.2.5 D.3.5

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About this Numbers and Sequences test

This free online practice test covers Numbers and Sequences from the 10th Standard Mathematics (Samacheer Kalvi) syllabus. Choose the number of questions and an optional time limit, then answer and submit — everything is checked in your browser, with the correct answers and a worked explanation shown at the end. For the full solutions to every question in this set, see the solved MCQs page.

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