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&@

Reasoning: Blood Relations Set 1

Directions (1 – 3):
B is the mother of C who is the sister of G and H only. I is the son of H. D is the father of E. Among the children of A and B, only 1 is unmarried. G is the uncle of E who is the sister of F. C has only 2 children.

1.      How is G related to B?
A) son                                                        B) daughter
C) son-in-law                                             D) daughter-in-law
E) Cannot be determined

2.      Who is the unmarried child of A and B?
A) C                                                          B) G
C) H                                                          D) E
E) Cannot be determined

3.      Who is the mother of F?
A) C                                                          B) H
C) B                                                           D) Cannot be determined
E) None of these

Directions (4 – 5): Consider the following relationships and answer based on the relationships given below:
‘P % Q’ means ‘P is daughter of Q’
‘P # Q’ means ‘P is wife of Q’
‘P $ Q’ means ‘P is father of Q’
‘P @ Q’ means ‘P is brother of Q’

4.      N @ B $ M % D indicates what relationship between N and D?
A) D is sister of N                                       B) D is nephew of N
C) D is sister in law of N                            D) N is wife of D
E) None of these

5.      The expression “M # Q @ D % S” indicates which of the following relationship?
A) Q is father of S                                      B) D is brother-in-law of M
C) M is sister of S                                       D) S is mother-in-law of M
E) None of above