Quant Quiz-V

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