Q1. Anuj travels first 1/3 rd of the total distance at the speed of 10kmph and the next 1/3 rd distance at the speed of 20kmph and the last 1/3 rd distance at the speed of 60kmph. What will be the average speed?
(a)18
(b)20
(c)22
(d)10
(e)15
Q2. In an office, the average weight of 24 employees is 60 kg. If n employees were included whose average weigh was 54 kg, then what is the total number of employees in the office provided the new average weight of all the (24+n) employees is a whole number.
(a)14
(b)26
(c)36
(d)28
(e)22
Q3. Four runners started running the race in the same direction around a circular path of 7 km. Their speeds are 4,3,9 and 3.5 kmph individually. If they have started their race at 6 o’clock in the morning, then at what time they will be at the starting point?
(a)12
(b)14
(c)10
(d)5
(e)18
Q4. A jar was full of honey. A person used to draw out 20% of the honey from the jar and replace with sugar solution. He performs the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. What is the initial amount of honey in the jar?
(a)2 kg
(b)1.5 kg
(c) 1 kg
(d)1.25 kg
(e) None of these
Q5. The average marks of the students in four sections A,B,C and D together is 60%. The average marks of the students of A,B,C and D individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of sections B and C together is 60%. What is the ratio of number of students in sections A and D ?
(a) 4 : 3
(b) 3 : 4
(c) 2 : 3
(d) 1 : 2
(e) None of these
Q6. A car agency has 108 cars. It sold some cars at 9% profit and rest at 36% profit. Thus he gains 17% on the sale of all his cars. What is the no.of cars sold at 36% profit?
(a)24
(b)26
(c)30
(d)35
(e)32
Q7. There are 43800 students in 4 schools of a city. If half of the first, two-third of the second, three-fourth of the third and four-fifth of the fourth are the same no. of students, then find the ratio of number of students of A and D if A,B, C and D be the first, second, third and fourth schools respectively.
(a)5 : 8
(b) 8 : 5
(c) 7 : 5
(d) 3 : 5
(e) None of these
Q8. A,B and C have 40, x and y balls with them respectively. If B gives 20 balls to A, he is left with half as many balls as C. If together they had 60 more balls, each of them would have had 100 balls on an average. What is the value of x : y?
(a) 4 : 3
(b) 3 : 2
(c) 2 : 5
(d) 2 : 3
(e) None of these
Q9. A cat takes 7 steps for every 5 steps of a dog, but 5 steps of a dog are equal to 6 steps of cat. What is the ratio of speed of cat to that of dog?
(a)4 : 9
(b)7 : 13
(c) 7 : 6
(d)5 : 8
(e) None of these
Q10. In a family, there were n people. The expenditure of rice per month in this family is equal to 5 times the square of no. of people in the family. If the elder son left the family to study in USA there was decrease in consumption of 95 kg rice per month. What is the value of n?
(a)15
(b)11
(c)12
(d)10
(e)None of these
Directions (Q11 – 15): What should come in place of the question mark (?) in following number series problems?
Q11. 170,120,50,24,10,?
(a) 2
(b) 4
(c) 0
(d) 3
(e) 1
Q12. 829,918,839,908,849,?
(a) 879
(b) 898
(c) 889
(d) 890
(e) 892
Q13. 77,81,95,125,?,257
(a) 179
(b) 189
(c) 177
(d) 162
(e) 197
Q14. 11,14,33,28,99,?
(a) 64
(b) 62
(c) 52
(d) 65
(e) 56
Q15. 980,484,236,112,50,?,3.5
(a) 18
(b) 21
(c) 19
(d) 7
(e) 27
400 Important Quantitative Aptitude Ques...
