Quant Quiz

1. The length of a rectangle is 20% more than its breadth. What will be the ratio of the area of this rectangle to the area of a square whose side is equal to the breadth of the rectangle? 

(1) 5 : 6 

(2) 6 : 5

(3) 2 : 1 

(4) Data inadequate  

5) None of these

2. A well with 14m inside diameter is dug 10m deep. Earth taken out around it to a width of 21 m to form an embankment. The height (in metres) of the embankment is:

(1) 1/2  

(2) 2/3

(3) 3/4 

(4) 3/4 

(5) None of these

3. The area of a square of side 8 cm is equal to a rectangle. Which of the following statement/s is/are definitely true about the rectangle? 

(1) The length of rectangle is 16 times its breadth

(2) The length of rectangle is 32 times its breadth

(3) the breadth of rectangle is 1/6 of its length

(4) the breadth of rectangle is 1/9 of its length

(5) None of these

4. A man sold a wristwatch for Rs. 2.400 at a loss of twenty five per cent. At what rate should he     have sold the wristwatch to earn a profit of twenty five per cent? 

(1) Rs. 3,600  

(2) Rs. 4.000   

(3) Rs. 3,500

(4) Rs. 3.800  

(5) None of these

5. Rehaan purchased a bike for Rs 54.000. He sold it at a loss of 8 per cent. With that money he again purchased another bike and sold it at a profit of 10 per cent. What is his overall loss/profit? 

(1) Loss of  657  

(2) Profit of  567  

(3) Loss of  649

(4) Profit of Rs 648  

(5) None of these

6. Meera purchased an item for Rs. 62,000 and sold it at loss of 25 percent. With that amount she purchased another item and sold it at a gain of 30 percent. What was her overall gain/loss? 

(1) Loss of Rs. 1560 

(2) Profit of Rs. 1560

(3) Loss of Rs. 1550 

(4) Profit of Rs. 1550  

(5) None of these

7. In an objective examination of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions, a student got a total of 387 marks. The number of questions attempted wrong were: 

(1) 9  

(2) 18 

(3) 27

(4) 36 

(5) None of these

8. A man has in all Rs. 640 in the denominations of one-rupee, five-rupee and ten rupee notes. The number of each type of notes are equal. What is the total number of notes he has? 

(1) 90 

(2) 100 

(3) 120

(4) 150 

(5) None of these

9. Sumit had 85 currency notes in all, some of which were of Rs. 100 denomination and the remaining of Rs. 50 denomination. The total amount of all these currency notes was Rs. 5000. What is the value of 50 rupee notes? 

(1) Rs. 150 

(2) Rs. 700

(3) Rs. 1500

(4) Rs. 3500 

(5) None of these

10. The Qutab Minar casts a shadow 150m long at the same time when the Vikas Minar casts a shadow 120m long on the ground. If the height of the Vikas Minar is 80m, what is the height of the Qutab Minar? 

(1) 100m 

(2) 120m   

(3) 150m

(4) 180m  

(5) None of these

Answers..

1. 2
2. 2
3. 1
4. 2
5. 4
6. 3
7. 1
8. 3
9. 4

10. 1

SOLUTIONS
Solution 1 : side of Square = b
Area of square = b*b
L = 20% more than B ===> L = 1.2B
area = L*B = 1.2B * B

Ratio = 1.2B*B / B*B = 1.2 = 6/5
Solution 2 : Volume of earth taken out = 22/7 * 7 * 7 * 10 = 1540 m^3
Now, this taken out earth also makes a cylinder which we call outer cylinder.
So, Volume of Inner cylinder + earth volume = Volume of outer cylinder
or, Volume of outer cylinder - Volume of inner cylinder = volume of earth
22/7 *28*28*h - 22/7 *7*7*h = 1540
22/7 (784h - 49h) = 1540
h = (1540*7)/(22*759) = 490/735 = 2/3
Solution 3 : Option -- A
Solution 4: SP = 2400/75 * 125 = Rs. 4000

Solution 5 : Overall gain/loss = -8 + 10 - 8*10/100 = 1.2 means profit.
Profit = 1.2% * 54000 = Rs. 648

Solution 6 : Overall loss/gain = -25 + 30 - 25*30/100 = -2.5% means loss.
Loss = 2.5% of 62000 = Rs. 1550
Solution 7 : avg = 387/90 = 4.3
5.....................-2
........4.3............
6.3...................0.7 -----------> 9:1
No. of wrong ones = 90/10 * 1 = 9
Solution 8 : x + 5x + 10x = 640
16x = 640 ---> x = 40
Total = 3x = 120
Solution 9 : avg = 5000/85 = 1000/17
100.........................50
...........1000/17...........
150/7...................700/7 -----------> 3:14
No. of 50 Rs note = 85/17 * 14 = 70
Total value of 50Rs note = 70*50 = Rs. 3500
Solution : 10
80/120 = x/150 ----> x = 100