Q1. Half the girls and one-third of the boys of a college reside in the hostel. What fractional part of the student body is hostel dwellers if the total number of girls in the college is 100 and is one-fourth of the total strength?
(a) Two-fifths
(b) Five-twelfths
(c) One-fifth
(d) Three-eights
(e) None of these
Q2. The monthly incomes of two persons are in the ratio of 4 : 5 and their monthly expenditures are in the ratio of 7 : 9. If each saves Rs. 50 a month, then what are their monthly incomes?
(a) Rs. 100, Rs. 125
(b) Rs. 200, Rs. 250
(c) Rs. 300, Rs. 375
(d) Rs. 400, Rs. 500
(e) None of these
Q3. When a bus started from the first stop, the number of male passengers to the number of female passengers was 3 : 1. At the Second stop, 16 passengers got down and 6 more female passengers got in. The ratio of the male to female passengers now become 2 :1. What was the total number of passengers in the bus when it started from the first stop?
(a) 64
(b) 48
(c) 54
(d) 72
(e) 80
Q4. X’s income is three-fourths of Y’s income, and X’s expenditure is fourth-fifths of Y’s expenditure. If X’s income is nine-tenths of Y’s expenditure, find the ratio of X’s savings to Y’s savings.
(a) 1 : 2
(b) 2 : 1
(c) 1 :4
(d) 2 : 3
(e) None of these
Q5. Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person’s speed to that of 1st escalator is 2 : 3 (steps). The ratio of 2nd person’s speed of that of 2nd escalator is 3 : 5 (steps). Find the total number of steps they both have taken together.
(a) 85
(b) 93
(c) 80
(d) 75
(e) None of these
Q6. A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black pair is double that a brown pair. While preparing the bill, the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50 per cent. The ratio of the number of black and brown pairs of socks in the original order was:
(a) 4 : 1
(b) 2 : 1
(c) 1 : 4
(d) 1 : 2
(e) None of these
Q7. In an examination, a student was asked to find three-fourths of a certain number. By mistake he found three-fourteenths of it. His answer was 150 more than the correct answer. The given number is:
(a) 180
(b) 240
(c) 280
(d) 290
(e) None of these
Q8. A number consists of two digits whose sum is 7. If the digits are reversed, then the number is increased by 27. The number is
(a) 25
(b) 34
(c) 16
(d) 52
(e) None of these
Q9. At the first stop on his route, a driver unloaded two-fifths of the packages in his van. After he unloaded another three packages at his next stop, half of the original number of packages in the van remained. How many packages were in the van before the first delivery?
(a) 10
(b) 25
(c) 30
(d) 36
(e) None of these
Q10. The sum of the squares of two numbers is 3341 and the difference of their squares is 891. The numbers are:
(a) 25, 46
(b) 35, 46
(c) 25, 36
(d) 35, 25
(e) None of these
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MAHENDRA GURU