Q.1 A candidate attempted 12 questions & secured full marks in all of them. If he obtained 60% in the test & all Questions carried equal marks then what is the number of questions in the test ?
A) 36
B) 30
C) 25
D) 20
Ans. D
Let no. of questions = x
X * 60 % = 12
X * 60/100 = 12
X = 20
Q.2 Two equal glasses respectively 1/3rd & 1/4th full of milk. They are then filled up with water & the contents mixed in a tumbler. Find the ratio of milk & water in a tumbler ?
A) 7 : 17
B) 2 : 5
C) 9 : 21
D) 3 : 5
Ans. A
Ist glass = Milk : water = 1/3 : 2/3
2nd glass= Milk : Water= ¼ : ¾
Milk = 1/3 + ¼ = 7/12
Water = 2/3 + ¾ = 17/12
Now, find ratio of milk : Water = 7/12 * 12/17
= 7 : 17
Q.3 A & B are two alloys of gold & copper by mixing metals in proportions 7 : 2 & 7 : 11. If equal quantities of alloys are melted to form as third alloy C in the proportion of Gold & Copper in C will be :
A) 5 : 7
B) 7 : 5
C) 5 : 9
D) 9 : 5
Ans. B
Let quantitites of A & B each be 18 gm
Therefore, in A mass of Gold = 7*18/9 = 14 gm
& In A mass of Copper = 2*18/9 = 4
In B mass of Gold = 7*18/18 = 7 gm
& In B mass of Copper = 11*18/18 = 11 gm
Therefore, total quantity of Gold in C = 14+7 = 21 gm
& total quantity of copper in C = 4+11 = 15gm
Therefore required ratio = 21 : 15
=7 : 5
Q.4 If 1/3 rd of liquid contents of a can evaporates on the first day & 3/4th of the remaining evaporates on the second day. The fractional part of the original contents remaining at the closing of the second day is :
A) ½
B) 1/6
C) 4/7
D) 7/12
Ans. B
IInd day, 2/3 evaporates (therefore, 1-2/3 = 1/3)
Now,1/3 of ¾ (3/4 is given in question)
=¼ remains
Thus remaining amount is:
¼ * 2/3 = 1/6 of original contents
PASSAGE:
There are 2500 students in a school . Ratio of number of boys & girls is 3:2. All students play different games like Hockey, Boxing, Tennis, Football & Volleyball. 28% girls play hockey. 16% boys like Tennis. 1/5th of the boys play Volleyball. In Tennis, ratio of girls & boys is 2:3. 25% of the total number of students prefer Boxing. In Volleyball, Number of girls 60 % of number of boys involved in this game. 22% girls like football. Rest girls are in Boxing. 18% boys play Hockey & rest play Football.
Q.5 How many girls play tennis & Volleyball together ?
A) 340
B) 400
C) 380
D) 320
Ans. A
160 + 180 = 340
Q.6 The number of boys who prefer Boxing is what percent of the total number of students in the school ?
A) 10.8 %
B) 18.6 %
C) 12 %
D) 9 %
Ans. B
465/2500 * 100 = 18.6 %
Q.7 How many girls prefer Boxing ?
A) 180
B) 220
C) 160
D) 200
Ans. C
Number of players who play Hockey : 1000- (Number of girls who play games other than Hockey)
1000 – 280+160+220+180
1000-840 = 160
Q.8 Total number of boys in Hockey is what percent of the total number of girls in the same game ?
A) 103.70 %
B) 117.43 %
C) 80.36 %
D) 96.43 %
Ans. D
270/280*100 = 96.43
Q.9 How many boys like Football ?
A) 270
B) 240
C) 225
D) 300
Ans. C
1500 – (Number of boys who play games other than football)
1500- (270 + 465 + 240 + 300)
1500 – 1275 = 225
