# QUIZ 14

### Quant Quiz

There are 215 students in a college. The foreign language department offers French, German and Spanish. In a survey we found that
(i) 8 students take all the three languages.
(ii) 69 students study French.
(iii) There are twice as many students who study both French and Spanish (but not German) as those who study both French and German (but not Spanish), and three times as many as those who study all three.
(iv)  120 students study Spanish.
(v) 23 students do not study any foreign language.
(vi) The group of students who study both French and Spanish (but not German) is exactly the same size as the group of students who study both German and Spanish.

Q1. How many students are there who study only French?
1) 23     2) 24     3) 25     4) 26     5) 27

Q2. The number of students who study only Spanish is
1) 68     2) 72     3) 76     4) 78     5) 82

Q3. How many students are there who study at least one foreign language?
1) 190     2) 192     3) 194     4) 196     5) 198

Q4. What is the difference between the number of students who study only Spanish and the number of students who study only German?
1) 33     2) 34     3) 35     4) 36     5) 37

Q5. What is the ratio of the number of students who study Spanish and French but not German to number of students who study Spanish and German but not French?
1) 3 : 1     2) 1 : 3     3) 3 : 2     4) 2 : 3     5) 1 : 1

Directions (6-10): Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer-
(1) If the question can be answered by using statement I alone but cannot be answered by statement II alone.
(2) If the question can be answered by using statement II alone but cannot be answered by statement I alone.
(3) If both statements I and II together are required to answer the question.
(4) If the answer can be found by using any of the two statements alone.
(5) If both the statements together are not sufficient to answer the question.

Q6. A man sells TV sets at profit of 20%. How much total amount he gains in profit?
He sells 20 TV set. II. He sells each TV set at Rs 12000.

Q7. What is the age of Ravi at present?
His present age is 4 times the present age of Ram. II. Five years ago Ravi’s age was 7 times the age of Ram.

Q8. Area of a rectangle is equal to the area of a right-angled triangle. What is the length and width of the rectangle?
1.Base of triangle is 10 cm. II. Height of triangle is 20 cm.

Q9. What is the time taken by Ram from point A to other point B?
If he walks 25% faster than his usual speed then he reaches 20 seconds earlier.
If he walks half of his usual speed, he takes 100 seconds more to reach the finishing point B.

Q10. What is the length of the train?
It crosses a pole in 10 seconds. II. Speed of the train is 10 m/sec.

1.(3)      2.(2)       3.(2)     4. (5)     5.(3) Ratio =24/16= 3 : 2

Solutions (6-10)

6. 3;      Both statements are required for answer.

SP = 12000, Profit = 20%

Cost Price = 1000 ie profit = 2000

Total profit = 2000 × 20 = 40000

7. 3;     From statement I:

x = 4y                             …(i)

From statement II:

x – 5 = 7(y – 5)

7y – x = 30                    …(ii)

Solving equations (i) and (ii), x = 40, y = 10

8. 5;      Data is not sufficient to find the answer.

9. 4;      Both statements alone are sufficient to answer.

Let be speed = v, distance = x, time = t

t =  x/v           …(i)

From statement I:

x/5v/4=t – 20

4x/5v= t – 20

x/v = 5/4(t – 20)           …(ii)

From (i) and (ii), t =  5 / 4(t – 20)

4t = 5t – 100

t = 100 seconds

From statement II:

x / v / 2 = t + 100

2x / v = t + 100

t + 100 = 2t

t = 100 seconds

10. 3;    Both statements are required to answer the question.

From statement I:

1/v =  10 seconds                   (1 = length, v = speed)

From statement II:

v = 10 m/sec

1 = 10 × v = 100 m

### Reasoning Quiz

Directions (1-6): Study the information given below and answer the given questions.
Six friends A, B, C, D, E and F have three types of vehicles – Alto, Fiat and Nano – and they like three colours – Black, White and Red. Each of them has a car. Only two of them have the same type of cars and only two of them like the same colour.
A and F do not like Alto and Red colour. C and D do not like Fiat and White colour. A and B do not like Fiat. B does not like Nano and Red colour, and C does not like Alto and Red colour. The one who has Fiat, does not like Black colour. E and B do not like White colour.

Q1. Which two friends have Red cars?
(1) A and B     (2) B and C     (3) D and E     (4) D and F     (5) C and E

Q2. Which two friends have Fiats?
(1) E and F     (2) D and F     (3) B and E     (4) A and C     (5) E and C

Q3. Who has a Black Nano?
(1) A     (2) B     (3) C     (4) D     (5) E

Q4. Which of the following combinations is not true?
(1) B – Black –Alto     (2) E – Red – Nano     (3) D – Red – Alto     (4) C – Black – Nano     (5) None of these

Q5. Which of the following cars does A own?
(1) Black Alto     (2) Red Fiat     (3) White Alto     (4) White Nano     (5) Black Nano

Q6. Which of the following statements is true?
(1) C likes White Nano     (2) E likes Black Fiat     (3) B likes Red Alto     (4) F likes White Fiat     (5) None of these

Directions (7-11): In each question below are given three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts.

Q7. Statements:
Some flowers are fruits.     All fruits are trees.     No tree is a plant.
Conclusions:
I. At least some plants are fruits.     II. All trees being flowers is a possibility.     III. At least some trees are fruits.
(1) Only I follows     (2) Only land II follow     (3) Only II and III follow     (4) Only I and III follow     (5) None of these

Q8. Statements:
Some keys are locks.     All locks are doors.     Some doors are windows.
Conclusions:
I. At least some locks are windows.     II. Some windows are doors.     III. Some keys are doors.
(1) None follows     (2) Only II and III follow     (3) Only II follows     (4) Only III follows     (5)All follow

Q9. Statements:
All tablas are sitars.     All sitars are harmoniums.     All harmoniums are violins.
Conclusions:
I. All sitars are violins.     II. All tablas are harmoniums.     III. Some violins are sitars.
(1) All follow     (2) Only II and III follow     (3) Only I and II follow     (4) Only III follows     (5) None follows

Q10. Statements:
All bananas are apples.     Some apples are oranges.     All oranges are grapes.
Conclusions:
I. All grapes are apples.     II. All apples are bananas.     III. All oranges being bananas is a possibility.
(1) Only I follows     (2) Only II follows     (3) Only III follows     (4) All follow     (5) None follows

Q11. Statements:
Some teachers are doctors.     Some doctors are professors.     All professors are writers.
Conclusions:
I. All teachers being writers is a possibility.     II. All professors being doctors is a possibility.     III. Some writers are doctors.
(1) All follow     (2) Only I and II follow     (3) Only I and III follow     (4) Only II and III follow     (5) None of these

1-3     2-1     3-3     4-2     5-4     6-4     7-3     8-2     9-1     10-3     11-1

### English – Para jumbles

Q1.
A : All the people of the neighbourhood were mortally afraid of them.
B : They were so powerful that they could catch growing lions and tear them to pieces.
C : Someone told them that they would become immortal if they killed Death.
D : The young men believed themselves to be very good friends.
E : All of them set out in search of their foe called Death.
F : Once upon atime there lived three young men in a certain town of Hindustan.
The Proper sequence should be:
A. ABCDEF     B. FDBACE     C. DCABFE     D. EFCDBA     E. BAFECD

Q2.
A : Above all, they are cheaper and easier to process making them a viable alternative to metals.
B : Polymers are essentially a long chains of hydrocarbon molecules.
C : Today polymers as strong as metals have been developed.
D : Metals are today being replaced by polymers in many applications.
E : These have replaced the traditional chromium-plated metallic bumpers in cars.
F : Many Indian Institutes of science and Technology run special programmes on polymer science.
The Proper sequence should be:
A. FECDAB     B. BADCEF     C. ABCDEF     D. CDFEBA     E. DBCEAF

Q3.
A : It has format which is very similar to that of Brain and Language, a sister journal.
B: Since the sixties there has been an increasing interest in neurophysiology, which deals with the neural bases of mental activity and behaviour
C : Since then, a number of journals devoted entirely to this area of research have appeared.
D : Before the 1960’s when this field was the concern of a small number of investigators, research articles were scattered in various neurological journals.
E : Brain and cognition is one such journal.
F: So far the journal has published the mixture of articles including reports and investigations.
The Proper sequence should be:
A.  BDCEAF     B.  ABCDEF     C.  DEFCBA     D.  FACBDE     E.  CFDEBA