Quantitative Aptitude: Ratio and Proportion

1.      Rs. 1278 is divided among 6 men, 5 women and 3 boys. The ratio of share of a man, a woman and a boy is 8: 11: 13. What is the share of a man?
A) Rs85
B) Rs72
C) Rs90
D) Rs110
E) None

2.      A child has 3 different kinds of chocolates costing Rs 2, Rs 5 and Rs 10. He spends a total Rs. 140 on the chocolates. How many chocolate minimum and maximum we can buy with one condition we must buy from all varieties?
A) 19, 63
B) 20, 60
C) 22, 62
D) 17, 56
E) None

3.      There are two container of equal capacity . The ratio of milk to water in 1st can 5:3 and in 2nd can is 4:3. If they are mixed up, what is the new ratio?
A) 45:67
B) 55:68
C) 67:45
D) 37:45
E) None

4.      In a competitive exam, the number of passed students was four times the number of failed students. If there had been 35 fewer appeared students and 9 more had failed, the ratio of passed and failed students would have been 2 : 1, then the total number of students appeared for the exam ?
A) 170
B) 165
C) 180
D) 155
E) None

5.      If 8 men and 3 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a boy and that of a man for a given time ?
A) 2:3
B) 3:2
C) 4:1
D) 1:4
E) None

6.      Rs 1440 were distributed among A ,B,C and D in such a way that C and D together gets half of what A and B together gets and C gets one third amount of B. Also D gets 5/3 times as much as C. what is the amount of A?
A) Rs560
B) Rs420
C) Rs460
D) Rs545
E) None

7.      The value of a diamond is directly proportional to the square of its weight. A diamond unfortunately breaks into three pieces with weights in the ratio of 3: 4: 5, thus a loss of Rs. 9.4 lakh is incurred. What is the actual value of diamond:
A) 15Lakh
B) 18Lakh
C) 16.5Lakh
D) 14.4Lakh
E) None

8.      In a Temple every devotee offers fruits to the orphans. Thus every orphan receives Mango, apple and grapes in the ratio of 2 : 5 : 7 in terms of dozen. But the weight of a grape is 35 gm and weight of a mango and an apple are in the ratio of 5 : 6, while the weight of an apple is 180 gm. Find the ratio of all the three fruits in terms of weight, that an orphan gets:
A) 55:140:32
B) 60:180:49
C) 45:122:37
D) 44:153:48
E) None

9.      A cat leaps 6 leaps for every 4 leaps of a dog, but 4 leaps of the dog are equal to 5 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?
A) 4:7
B) 5:6
C) 6:5
D) 7:4
E) None

10.  The students in three classes are in the ratio 8 : 9 : 11. If 15 students are increased in each class, the ratio changes to 11 : 12 : 14. Then the total number of students in the three classes before the increase is:
A) 105
B) 120
C) 140
D) 155
E) None

Quantitative Aptitude: Number Series

1.       14, ?, 56, 272, 1568, 9344

a)42                       b)50         c)48                d)56                e)60

2.       22, 23 , 50, ?, 652, 3285

a)159               b)150               c)135               d)132               e)148

3.       15, 8, 9, 15, ?, 82.5

a)42                 b)40                 c)28                 d)32                 e)30

4.       8, 49, 244, ?, 2930, 5861

a)600               b)720               c)850               d)900               e)977

5.       5, 20, 84, 249, ?, 499

a)480               b)540               c)620               d)500               e)550

6.       36, 61, 45, ?, 50, 51

a)30                 b)54                 c)50                 d)42                 e)57

7.       14, 10, 31, ?, 129, 287

a)22                 b)20                 c)35                 d)19                 e)26

8.       10, 29, ?, 107, 205, 419

a)40                 b)49                 c)45                 d)38                 e)42

9.       40, 161, ?, 555, 844, 1205

a)280               b)300               c)330               d)250               e)325

10.   14, 8, 6, 4, 5, ?

a)3.5                b)4                   c)3.2                d)4.5                e)5.3

Quantitative Aptitude: Time, Speed and Distance

1. A train met with an accident 60km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?

A) 50km/hr

B) 45km/hr

C) 60km/hr

D) 55km/hr

E) None

2. Two man start together to walk a certain distance, one at 4 km/hr and another at 5 km/hr. The former arrives half an hour before the latter. Find the distance.

A) 10km

B) 15km

C) 20km

D) 8km

E) None

3. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

A) 2hrs

B) 1hr 30min

C) 2hrs 15min

D) 1hr

E) None

4. Two racers start running towards each other, one from A to B and another from B to A. They cross each other after one hour and the first racer reaches B, 5/6 hour before the second racer reaches A. If the distance between A and B is 50 km. what is the speed of the slower racer?

A) 15km/hr

B) 20km/hr

C) 25km/hr

D) 30km/hr

E) None

Reasoning: Syllogism Set 2

1. Statements: Some fonts are paras. Some fonts are styles. All styles are boards. No board is file.
   Conclusions: 
   I. No font is file.
   II. Some boards are paras
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
2. Statements: All fonts are para. Some para are style. Some styles are boards. All boards are files.
   Conclusions: 
   I. Some para being board is a possibility.
   II. Some styles are files.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   
3. Statements: All fonts are styles. All styles are paras. Some paras are boards. Some boards are files.
   Conclusions: 
   I. Some paras are fonts.
   II. Some files are paras
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   
4. Statements: Some fonts are paras, Some paras are boards. Some boards are styles. Some styles are files.
   Conclusions: 
   I. Some files are fonts.
   II. No file is a font.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow
   
   
5. Statements: All fonts are styles. No style is para. Some paras are boards. Some files are styles.
   Conclusions: 
   I. All paras being files is a possibility.
   II. All files being board is a possibility.
   A) only I follows
   B) only II follows
   C) either I or II follows
   D) neither I nor II follow
   E) both I and II follow

Reasoning: Syllogism Set 1

1.      Statements: Some tigers are lions. All tigers are rats. No lion is dog. All cats are dogs.
Conclusions: 
I. All tigers are cats is a possibility.
II. No cat is lion.
A) only I follows                             B) only II follows                   C) either I or II follows
D) neither I nor II follow                E) both I and II follow

2.      Statements: All tigers are lions. All rats are tigers. Some dogs are lions. All cats are lions.
Conclusions: 
I. Some cats being tigers is a possibility.
II. Some cats are dogs.
A) only I follows                             B) only II follows                   C) either I or II follows
D) neither I nor II follow                E) both I and II follow

3.      Statements: Some tigers are dogs. All dogs are lions. All lions are goats. No cat is lion.
Conclusions: 
I. All cats being goats is a possibility.
II. Some tigers are lions.
A) only I follows                             B) only II follows                   C) either I or II follows
D) neither I nor II follow                E) both I and II follow

4.      Statements: No lion is tiger. All tigers are dogs. Some cats are lions. Some dogs are lions.
Conclusions: 
I. All dogs being tigers is a possibility.
II. All cats being tigers is a possibility.
A) only I follows                             B) only II follows                   C) either I or II follows
D) neither I nor II follow                E) both I and II follow

5.      Statements: All lions are tigers. No tiger is cat. Some cats are dogs. Some rats are tigers.
Conclusions: 
I. All rats being dog is a possibility.
II. No cat is lion.
A) only I follows                             B) only II follows                   C) either I or II follows
D) neither I nor II follow                E) both I and II follow

Reasoning: Alphanumeric Series Set 1

Directions (1-5): Study the following arrangement and answer questions given:
H 4 R % M A # K 2 P 5 I © N 3 W @ F & J 1 U V 9 Q E D 7 8

1.      If all the symbols are dropped from the arrangement, then which of the following is the 6th letter to the right of the 15th letter from the right end?
A) N             B) J                              C) E                             D) 1                 E) None of these

2.      How many consonants are there in the arrangement each of which is immediately followed by a letter?
A) None      B) One                        C) Two                        D) Three        E) More than three

3.      Complete the series: QEU V9J 1UF &JW ?
A) @N©      B) @FN                      C) FNB                       D) @WN         E) None of these

4.      How many such numbers are there each of which is immediately preceded by a symbol?
A) None      B) One                        C) Two                        D) Three        E) More than three

5.      Four of the five are alike in a certain way, which does not belong to the group?
A) P52         B) QE9                        C) MA#                       D) ©NI           E) F&@