1.
Find the 22^{nd} term of the Arithmetic Progression whose first term is 20 and common difference is 1/3.
2.
The graph of y = x^{2} lies entirely in the quadrants.
3.
If ( log a )/ 5 = ( log b )/6 =( log c )/7 , then b^{2}=
4.
If log_{10 }(2x + 3) - 1= log_{10}x , then find x.
5.
When a fair coin is tossed nine times, find the probability of getting heads at least once.
6.
In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.
SCD, TEF, UGH, ____, WKL
7.
Which symbol is needed to balance the scale?
8.
Find the remainder when 67^{99} is divided by 7
9.
Two numbers are in the ratio 3:4. If their LCM is 240, the smaller of the two numbers is
10.
LCM of two numbers is 936. If their HCF is 4 and one of the number is 72, the other is
11.
A’s salary is 50% more than B’s. How much percent is B’s salary less than A’s?
12.
Ramesh’s salary was reduced by 10% and then the reduced salary was increased by 10%. What was his ultimate loss?
13.
The price of milk was first increased by 10% and then decreased by 20%. What is the net percentage change in final price of milk?
14.
If a:b = 2:3 and b:c = 4:3, then find a:b:c
15.
Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs 4000, the new ratio becomes 40:57. What is Sumit present salary.
16.
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number.
17.
There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
18.
If there are 15 Railway stations between Bangalore and Chennai, then how many general class tickets needs to be printed so as to enable a person to travel from anywhere to anywhere.
19.
In how many ways can we arrange the word ‘FUZZTONE’ so that all the vowels come together?
20.
A trekking group is to be formed having 6 members. They are to be selected from 3 girls, 4 boys and 5 teachers. In how many ways can the group be formed so that there are 3 teachers and 3 boys or 2 girls and 4 teachers?
21.
If Surjan doesn’t want three vowels together, then in how many, can he arrange letters of the word 'MARKER'?
22.
In how many different ways can the letters of the word ‘GEOMETRY’ be arranged so that the vowels always come together?
23.
If x:y = 1:3, then find the value of (7x+3y):(2x+y)