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Quant Quiz

1.What is the difference between the compound interests on Rs. 5000 for 1.5 years at 4% per annum compounded yearly and half-yearly?
(1)Rs. 2.04
(2)Rs. 3.06
(3)Rs. 4.80
(4)Rs. 8.30
(5)none of these

2.The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:
(1)2
(2)5
(3)8
(4)2.5
(5) none of these
3.The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
(1)25% increase
(2)50% increase
(3)50% decrease .
(4)75% decrease
(5)none of these

4.The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
(1)40
(2)50
(3)120
(4)Data inadequate
(5)None of these

5.In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
(1)810
(2)1440
(3)2880
(4)50400
(5)5760

6.In how many ways can the letters of the word 'LEADER' be arranged?
(1)720
(2)360
(3)840
(4)368
(5) none of these

7.Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
(1)9/20
(2)5/4
(3)8/7
(4)2/9
(5)none of these

Directions (Q’s 8-10): Each of the questions below consists of a question and three statements numbered I ,II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the question and statements

8.What is the area of the hall?
I Material cost of flooring per square metre is Rs. 2.50
II Labour cost of flooring the hall is Rs. 3500
III Total cost of flooring the hall is Rs. 14,500.

(1)I and II only
(2)II and III only
(3) All I, II and III
(4)Any two of the three
(5)none of these

9.What is the area of a right-angled triangle?
I The perimeter of the triangle is 30 cm.
II The ratio between the base and the height of the triangle is 5 : 12.
IIIThe area of the triangle is equal to the area of a rectangle of length 10 cm.

(1)I and II only
(2)II and III only
(3)I and III only
(4)III, and either I or II only
(5) none of these

10.In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?
I The captain is eleven years older than the youngest player.
IIThe average age of 10 players, other than the captain is 27.3 years.
III aving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.

(1)Any two of the three
(2)All I, II and III
(3)II only or I and III only
(4)II and III only
(5)None of these

Answers