What comes next in this series  3, 8, 15, 24, 35, 48,63,80,.......?
Ans=99

1X1-1=0
2X2-1=3
3X3-1=8
4X4-1=15
5X5-1=24
6X6-1=35
7X7-1=48
8X8-1=63
9X9-1=80
10X10-1=99

how many times 4 comes in 10 to 100?
Ans: 20

How many prime numbers between 56 to 100?
Ans: 9

 59, 61, 67. 71, 73, 79, 83, 89, 97

If the product of three different positive integers are 6 ,than twice the sum of integers is?
Ans:12
Numbers are: 1,2,3
Their product= 1X2X3=6
Their sum=1+2+3=6
 twice the sum of integers is=6X2

Tk 7500 is divided in the ratio 1:2:3:4:5.Find the difference between highest and lowest value?
Ans:
Here,
Sum of ratios are = (  1+2+3+4+5)=15
Highest value = (5/15) X 7500 = 2500
Lowest value =(1/15) X 7500= 500
so ,the difference =2500-500=2000

Out of 7500 candidates 75% were offered to study in Arts and 45% in Business. How many were offered both?
Ans:1500

Total sum of percentage =  (75+45)%=120%
Percentage offered in both = 120 - 100 = 20%
So,number of students who were offered both=  20% of 7500= 1500

how many ounces make 4.75 pound?
Ans : 76
1 pound= 16 ounce
So,4.75 pound = (16 X 4.75)=76 ounce

What is the least number when devided by 4,5,6 leaves remainder 3 in each case?
Ans: 63

Half of the pillar is under the earth one third of it is under the water, and 12 feet is above the water,what is the length?

Here,
Suppose,
Total length =x
so,
under the earth= x/2
under the water=x/3
 above the water= 12

So,
x/2+x/3+12 =x
or,x/2+x/3-x=-12
or,-x=-72
or,x=72

Find the value -2+(-2)-{-(2)}-2
Ans:-4

If X:Y = Y:Z = 1.5 and Z = 2, what is the value of X?
Ans:4.5

Here,
 Y:Z = 1.5
or, Y/Z = 1.5
Or, Y = 1.5
Z = 1.5x2 = 3
Now, Z:Y = 1.5
:. X = 1.5Y = (3/2)3 = 9/2 = 4.5
A mixture of 72 kg contains 17 parts of  A, 3 parts of b,4 parts of c.Find the quantity of b?

A car washer machine can wash 8 cars in 18 minute,how many car she can wash within 3 hours at same rate?
Ans: 80

Car can be washed = (8/18)  x 180 =80   

Total age of father’s and son’s  is 42.Their difference is 22. What is  sons age now?
Ans; 20

Here,
Fathers age =x
Sons age=y
so,x+y=42….(1)
    x-y=22..(2)
Doing 1-2,
we get,
2y=20
or,y=10
So,sons age=20

What must be added to (4a2+9b2) to make it square?
Ans: 12ab

If a+b=13 and a-b= 3,then value of a2+b2 =?
Ans:89

Here,
a+b=13
 a-b= 3
So, a=8 b=5
So,a2+b2 =64+25=89

The selling price of 15 items equal to buying price of 20 items. What is the percentage of profit?

A student ranked 13th from right and 8th from left.How many student are there?
Ans:20

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