Ques 1.
A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the workis done in 50 days. The number of additional men that should be appointed so that the whole work will befinished in time is
Solution :
200*50/ (1/4) = M*100/(3/4)
==>M=300
Additional members = 300-200
Ques 2.
The respective ratio between the side of a square and the diameter of circle is 3:10.If the circumference of the circle is 220m .what is the area of the square ?
Solution :
2*22/7 * r =220
==>r =35
==>D=70
10-----70
3------ ?
==>side square = (70*3)/10=21m
Area of square = 21*21=441m^2
Ques 3.
Two cars (A and B) started from the same point at the same time In opposite directions (one towards north and other towards south). Car A travelled a distance of 122 km in 5 hours. If the speedof Car B is 8.5 m/s, what is the distance between them after 3 hours ?
Solution :
122/5 = 24.4*3 = 73.2
8.5*18/5 = 30.6*3 = 91.8
73.2+91.8 = 165
Ques 4.
By selling 1 dozen ball pens, a shopkeeper earned theprofit equal to the selling price of 4 ball pens. His profitper cent is
Solution :
4/8*100=50%
Ques 5.
A dishonest dealer professes to sell his goods at the cost price but uses a false weight of 850 g instead of 1 kg. He gain percent is ?
Solution :
(1000-850)/850 =3/17*100
==>300/17 =17
Ques 6.
8 10 23 73 297 ?
Solution :
8*1+2=10
10*2+3=23
23*3+4=73
73*4+5=297
297*5+6=1491
Ques 7.
In how many ways can the letters of the word "IMAGINARY "be arranged in such a way that all the vowels never come together?
Solution :
[ 9! / 2!*2! ]- [ 6!*4! / 2!*2! ] =86400
Ques 8.
A certain sum of money is divided between Ram and Manohar in ratio 14:9 respectively. If ram's share is 3265 more than Manohar's share, find the sum of money that was divided among them ?
Solution :
Ratio = 14:9
Difference = 14-9
5 parts -------3265
23 parts ------ ?
Total sum = (3265*23)/5 = 15,019
Ques 9.
The respective ratio between X and Y is 6:5 . If X is increased by 25% and Y is increased by 15%.What is the new respective ratio between X and Y ?
Solution :
Ratio =X: Y=6:5
Assume its 600 : 500
After increasing X = 600+150=750
After increasing Y = 500+75=575
new ratio = 750:575 = 30:23
Ques 10.
6 boys and 6 girls sit in a row at random.The probability that all the girls sit together is?
Solution :
= >7! * 6! /12! = 1/132
