1. A dealer sells an item for Rs 667, and makes a profit of 16%. He sells another item at a loss of 10% and in whole process he makes no profit no loss. What was the cost of second item ?
(a) Rs. 900
(b) Rs. 920
(c) Rs. 950
(d) Rs. 980
(e) None of these
2. A mixture contains milk and water in the ratio of 4 : 3 on adding 5 liter of water the ratio of milk and water becomes 9 : 8. Find the quantity of water in the mixture ?
(a) 9 liter
(b) 15 liter
(c) 21 liter
(d) 24 liter
(e) 27 liter
3. In how many ways can a party of 6 men and 6 women be seated at a round table, so that no two women are adjacent ?
(a) 518400
(b) 86400
(c) 14400
(d) 1440
(e) 840
4. 8 men can complete a piece of work in 15 days and 7 women can complete the same piece of work in 25 days. If all the 8 men and 7 women work together, in how many days will the work get completed ?
(a) 7(3/5) days
(b) 6(2/3) days
(c) 9(3/8) days
(d) 9(2/3) days
(e) 9 days
5. In an examination a student attempted all 60 questions. He gets 2 marks for every right answer and minus 1 marks for each wrong answer. Find how many wrong questions were he attempted if got total 72 marks ?
(a) 24
(b) 36
(c) 16
(d) 20
(e) None of these
6. Average monthly salary of 8 technicians of a workshop was Rs. 1200 and average monthly salary of non-technician was Rs.300. Find total number of employee of this workshop if average monthly salary of all the employee was Rs.500 ?
(a) 16
(b) 28
(c) 56
(d) 40
(e) None of these
7. A shopkeeper buys some quantity of lemon at the rate 3 in Rs. 2 and buys same quantity of lemon at the rate 2 in Rs 3. He sold all of them at the rate 5 in Rs. 5. If during the transaction the shopkeeper losses Rs. 30. Find the quantity of the first types of lemon that he mixed ?
(a) 360
(b) 280
(c) 180
(d) Cannot be determined
(e) None of these
8. A shopkeeper gives two successive discount of 50% and 40% respectively. If second discount is Rs.180. Find selling price of this article ?
(a) 900
(b) 270
(c) 370
(d) 570
(e) None of these
9. A man travels 25% part of the Journey at the speed of 50 km/hr, next 60 % part of the journey at the speed of 40 km/hr. and rest part of the journey at the speed of 20 km/hr. Find average speed of the men during whole journey ?
(a) 34(4/11) km/hr
(b) 37(4/11) km/hr
(c) 36(4/11) km/hr
(d) 80 km/hr
(e) None of these
10. When a train is running at 3/5 of its usual speed, it got late by 30 minutes to cover a certain distance. Find the actual time to cover by the train?
(a) 55 minutes
(b) 45 minutes
(c) 60 minutes
(d) 75 minutes
(e) None of these
ANSWERS :-
1. (b) Rs. 920
CP of 1st item = 667x100/116 = 575
Profit = 667-575= 92
Now, in whole transaction he neither gains nor losses
So profit on first = loss on second
Let the cost of second be x
Loss = 10%
Loss = 0.1x or x/10
x/10 = 92 == > x= 920.
2. (e)27 litres
Let the quantity of milk and water be 4x and 3x respectively.
Now, 4x/(3x+5) = 9/8
32x = 27x+45
Therefore, X= 45/5 = 9
Quantity of water = 3x = 27litres.
3. (b) 86400
First the six men can sit on round table in (6-1)! = 5! Ways
Now, for no two women adjacent, there are six vacant seat between each pair of men.
So number of ways 6 women can sit on these six vacant seat is 6P6 = 6! Ways.
So total number of arrangements = 5!x6! = 120x720 = 86400.
4. (c) 9(3/8) days.
Let the total work be 15x25.
Now, efficiency of 8 men = 15x25/15 = 25
Efficiency of 7 women = 15x25/25 = 15
Total efficiency = 15+25 = 40
Time = 15x25/40 = 75/8 = 9(3/8) days.
5. (c) 16
If no wrong answer wud have given , he wud have scored 60x2= 120
But, he scored = 72
He lost = 120-72 = 48 marks
For each question answered wrongly he lost 2 marks of that question and 1 marks as penalty i.e., 3 mraks.
So wrong answered questions = 48/3 = 16.
Alternate:-
Let he attempted x correct and y wrong question
2x-y = 72 and x+y = 60
Solving, we get x= 44 and y = 16
Hence, he answered 16 questions wrongly.
6. (e) None of these
Let the number of non technician be X
1200x8 + 300*X = (8+X)*500
9600+300X = 4000+500X
X= 28
Total number of employees = 28+8 = 36.
7. (c) 180
Let No. of Ist type of lemon = No. of IInd type of lemon = X
CP = 2X/3 + 3X/2 = 13X/6
SP = 2X*5/5 = 2X.
Loss = 30
13X/6 – 2X = 30
13X-12X = 180 == > X= 180
8. (b) 270
Let CP be 100
100---(-50%)--->50---(-40%)-->30.
SP =30, when CP =100 and Second Discount = 50-30 = 20.
Now, 2nd Discount of 20 ---------> SP = 30
2nd Discount of 180 ------------>SP = 30x180/20 = 270.
Alternate Method:-
Let cost of article after first discount is X.
X*40/100 = 180
== > X= 450.
SP after second Discount = 450-180 = 270
9. (c) 36(4/11) km/hr
Let the total distance be 100km.
Now, ATQ
25km @ 50kmph will take = 1/2 hrs
60km @ 40kmph will take = 3/2 hrs
15km @20kmph will take = 3/4 hrs
Total time = 1/2+3/2+3/4 = 11/4hrs.
Avg Speed = 100x4/11 = 36(4/11) km/hr.
10. (b) 45 minutes
No comments:
Post a Comment
Note: only a member of this blog may post a comment.