## 10 AugSome Commonly Occuring Clock Problems

Clock Problems are often seen in several aptitude test papers. The underlying principles are basic modular arithmetic although the questions may seem to be confusing at times. Some of the questions below keep coming in many different exams. We provide a list of basic facts needed...

## 26 JunFind the missing number

Find the missing number in the following sequences:   1) 61, 52, 63, 94, __ , 18, 001, 121 [CSIR NET, June, 2014, Mathematical Sciences.] A) 46 B) 70 C) 64 D) 44   2) 4, 2, 6, 8, 14, __ , 36 A) 16 B) 12 C) 22 D) 30   3) 72,...

## 16 AprThe Number of Solutions of a System of Linear Equations

The standard form of a linear equation in $$n$$ unknowns $$x_1,x_2,\dots ,x_n$$ is $$a_1x_1+a_2x_2+\dots +a_nx_n=b,$$ where $$a_1,a_2,\dots ,a_n$$ and $$b$$ are constants. Here constants mean some real numbers (these constants may come from any number field). A collection of one or more linear equations of same variables is called...

## 28 JanFind the Remainder

1) The remainder when $$3^{31}$$ is divided by 5 is A) 2 B) 3 C) 4 D) 1 (Hint: - gcd(3,5)=1 and $$\phi (5)=4,$$ thus $$3^4\equiv 1(mod 5).$$) 2) The reminder when $$5^{99}$$ is divided by 13 is A) 0 B) 8 C) 1 D) 4   3) The reminder when...

## 28 JanNumeral System

1) The symbol $$25_b$$ represents a two-digit number in base b. If the number $$52_b$$ is double the number $$25_b,$$ then b is: [Asked in “FMS”.] A) 7 B) 8 C) 9 D) 11   2) Convert the decimal number 22 to binary number.   3) Convert the decimal number...

## 23 JanH.C.F. and L.C.M.

1) The H.C.F. of $$\frac{9}{4},\frac{3}{20},\frac{9}{10} and \frac{15}{16}$$ is: A) $$\frac{3}{80}$$ B) $$\frac{3}{2}$$ C) $$\frac{1}{40}$$ D) $$\frac{45}{2}$$   2) The L.C.M. of $$\frac{2}{3},\frac{3}{20},\frac{9}{10} and \frac{15}{16}$$ is: A) $$\frac{3}{80}$$ B) $$\frac{3}{2}$$ C) $$\frac{1}{15}$$ D) $$\frac{45}{2}$$   3) The H.C.F. of 1.26, 1.155, 0.21 and 0.315 is: A) 0.05 B) 0.105 C) 1.05 D) 0.03...

## 23 JanProbability

1) $$x_{1}, x_{2}, x_{3},\dots x_{50}$$ are fifty real numbers such that $$x_{r}< x_{r+1}$$ for r = 1, 2, 3...

## 23 Janসাধাৰণ গণিত (১)

প্ৰশ্নসমূহ:- ১) ১.৪২৮৫৭১৪২৮৫৭১৪২৮৫৭১...

## 23 JanCoding and Artificial language (Aptitude test)

1) In a certain code ‘1 7 2 9’ means ‘in a programming language’, ‘7 9 3’ means ‘as a set’ and ‘2 3 4 5 6 7’ means ‘in the set as an element’. What is the code for ‘a’? A) 1 B) 7 C) 9 D) 3   2)...

## 23 JanNumber of Cubes (Aptitude Test)

All the faces of four equal cubes are painted with green color. Then each cube is cut into 64 small equal cubes.   1) How many small cubes will have 4 colored faces and two non-colored faces? A) 32 B) 64 C) 0 D) 12   2) How many small...