Quant Quiz 22nd September 2018

Directions (1-5) Study the following information carefully to answer the questions.

In a medical college there are 1600 students studying Dentistry and Homeopathy. Each student from each course knows one or more languages out of English, Hindi and Bangla. 45% of the students study Dentistry and remaining students study Homeopathy. Out of the students studying Dentistry, boys and girls are in the ratio of 5:3 respectively.Out of the boys studying Dentistry, 16% know English, 10% know only Hindi and 4% know only Bangla. 24% know English as well as Hindi. 20% know English as well as Bangla. 14% know Hindi as well as Bangla. Remaining boys know all three languages. Out of the girls studying Dentistry, 20% know only English, 10% know only Hindi and 10% know only Bangla . 20% know English as well as Hindi. 20% know English as well as Bangla. 10% know Hindi as well as Bangla . Remaining girls know-all three languages. Out of the students studying Homeopathy boys and girls are in the ratio of 4  : 7 respectively. Out of the boys studying Homeopathy, 20% know only English, 15% know only Hindi and 5% know only Bangla. 15% know English as well as Hindi. 25% know English as well as Bangla. 10% know Hindi as well as Bangla. Remaining boys know all three languages. Out of the girls studying Homeopathy, 15% know only English, 15% know only Hindi and 5% know only Bangla. 20% know English as well as Hindi. 20% know English as well as Bangla. 15% know Hindi as well as Bangla. Remaining girls know all three languages.

Question 1: How many students studying Dentistry know only either English or Hindi?

(1) 166 

(2) 162 

(3) 308

(4) 198 

(5) 248

Question 2: Total how many students in the college know all three languages? 

(1)108 

(2)132 

(3)169

(4)137 

(5)142

Question 3: What percent of the total number of girls in the college know Bangla? 

(1) 45 

(2) 40 

(3) 48

(4) 42 

(5) 50

Question 4: How many students studying Homeopathy, do not know English?

(1) 292 

(2) 232 

(3) 228

(4) 298 

(5) 207

Question 5: Out of the students studying Homeopathy, what is the ratio between number of boys knowing English and the number of girls knowing Hindi respectively?

(1) 3 : 5

(2) 2 : 3

(3) 9 : 11

(4) 9 : 13

(5) 1 : 3

Directions (6-10): In the following questions each question is followed by three statements I, II and III. Read the question and the statements carefully and choose your answer according to which set of statement(s) is/are sufficient to answer the question.

Question 6: What is the distance between city P and city Q? 
I.Two persons A and B started simultaneously from P to Q, with their speeds in the ratio 4 : 5.

II.B reached P one hour earlier than A to Q.
III.The difference between speeds of A and B is 20 kmph

(1): I and III only
(2) : II and III only
(3) : I and II only
(4) : All I, II and III together
(5) : Data inadequate

Question 7: What is the rate of interest on a certain sum? 
I.The interest earned on the sum at the same rate of simple interest after 3 years is Rs.4500.

 II.If the rate of interest is 2.5% more, the simple interest earned will be Rs.900 more. 
III.The amount received on the sum at the end of the 2 years at simple interest is Rs.15,000

(1) : I and II only
(2) : II and III only
(3) : I and III only
(4) : All I, II and III together
(5) : Any two statements together

Question 8: What is the area of the rectangle? 
I.The ratio of length to breadth of the rectangle is 35 : 12.
 
II.The perimeter of the rectangle is 188 cm.
 
III.The length of diagonal of the rectangle is 74 cm

(1) : I and II only
(2) : I and III only
(3) : (I and II) or (II and III)
(4) : Any two of the three
(5) : (I and II) or(I and III) only

Question 9: How many boys are there in the class? 
I.The number of boys is 15 more than the number of girls.
 
II.The average weight of boys is 41 kg and that of girls is 32 kg.
 
III.The average weight of all the students of the class is 37 kg

(1) : I and II only
(2) : II and III only
(3) : All I, II and III
(4) : (I and II) or (II and III)
(5) : The question cannot be answered even after using all the statements together.

Question 10: What is the profit percentage if a discount of 10% is offered on an article?

 I.Had there been no discount offered, the profit earned on the sale the article would be 40%.

 II.The discount offered on the article is 14% of the cost price. 
III.The cost price of the article is Rs.1000

(1) : I only
(2) : Either I or II
(3) : All I, II & III together
(4) : Each statement alone is sufficient
(5) : None of these

SOLUTION

1.(4)
 Required number of students = 72 + 45+ 54 + 27 = 198
2.(3) 
Required number of students = 54 + 27 + 32 + 56= 169
3.(5) 
Required percentage= (27 + 54 + 27 + 27 + 28 + 112 + 84 + 56)/(270 +560)x 100%= 50%
4.(1)
 Required number of students = 48 + 16 + 32 + 84 + 28 + 84= 292
5.(2) 
Required ratio = (64+ 48+ 80+ 32) : (84+ 112 + 84+ 56)= 224:336=2:3

6. (4) All I, II and III together

7. (5) Any two statements together

8. (4) Any two of the three

9. (3) All I, II and III

10. (2) Either I or II

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