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From the given information above,

Total number of male members in the first generation = The man + His four sons = 1 + 4 = 5

Total number of sonthat each son of the man have = 4× 3 = 12

So, total number of male members in the whole family = 12 + 5 = 17

Hence, 17is the correct answer.

Given,

'P' means 'subtracted from',

'X' means 'multiplied by',

'Y' means 'added to', and

'Z' means 'Divided by'

54 Z 3 Y 22 X 5 = ?

∴54 ÷3 + 22 ×5 = 18 + 110 = 128

Hence, the correct answer is 128.

Let the number be x.

x is added to itself 14 times = 15x

Given,

15x = 195

x = 195/15

x = 13.

Hence, the correct answer is "13".

Given,

4 × 6 - 2 = 14

1)- and÷, 2 and 6→4 × 2÷6≠14 (Means - is replaced by÷, and 2 and 6 are interchanges)

2)× and +, 4 and 6→ 6+4- 2 ≠14 (Means× is replaced by +, and 4 and 6 are interchanges)

3)× and÷, 2 and 4→2÷6 - 4≠14 (Means× is replaced by÷, and 2 and 4 are interchanges)

4)- and +, 2 and 6 → 4 × 2+6= 14 (Means - is replaced by +, and 2 and 6 are interchanges)

Hence, the correct answet is- and +, 2 and 6.

Given:

Let boys = B and girl = G

Therefore, Emma has = G + B children

Ana is a girl and has the same number of brothers as sisters.

Therefore,excluding Ana,

G - 1 = B ........(1)

Andrew is a boy and has twice as many sisters as brothers.

Therefore, excluding Andrew,

2(B -1) = G

2B - 2 = G.........(2)

By equation (1) and (2)

B = 3 and G = 4

Hence, the number of children Emma have is 7.

Seven Coaches:A, B, C, D, E, F, and G.

Games:Hockey, Cricket, Badminton, Tennis, Volleyball, Basketball, and Football.

Days:Monday to Sunday.

1.C trains Badminton on Friday.

2.A trains Football on Tuesday.

3.G trains on Sunday but does not train Cricket or Tennis.

4.D trains Basketball on the previous day of the day on which F trains. (Only possible when D trains on Wednesday and F trains on Thursday)

5.B teaches Volleyball on theprevious day of the day on which a coach trains Hockey. (This statement clears that B trains on Saturday, and Hockey will be on Sunday).

6.E does not train Tennis, so the remaining game left is Cricket. ThereforeEtrainscricket.

⇒ Since the only game left now is Tennis, F trains Tennis.

Therefore, from the above table, it is clear that F trains on Thursday.

Hence, the correct answer is "Thursday".

The logic followed here is :

In each equation, first and second number are divided by 2 and the resultants are concatenated.

30 + 40 = 1520

30÷ 2 = 15; 40÷ 2 = 20; Therefore, 1520

36 + 28 = 1814

36÷ 2 = 18; 28÷ 2 = 14; Therefore, 1814

40 + 20 = 2010

40÷ 2 = 20; 20÷ 2 = 10; Therefore, 2010

50 + 22 =

50÷ 2 = 25; 22÷ 2 = 11; Therefore, 2511

Hence, option 3 is the correct answer.

Given Statements:

A and B play hockey and football.

B and C play cricket and football.

C and E play cricket and volleyball.

D and E play tennis.

A and C play volleyball and football.

A and D play hockey and football.

Inference:

People who play Hockey - A, B,D

People who play Football - A, B, C, D

People who play Cricket - B, C, E

People who play Volleyball - C, E, A

People who play Tennis - D, E

Now, the person plays Football, Hockey and Tennis isD.

Hence,Dis correct.

1)A and B play Football, Cricket, and Hockey.

2)B and C play Hockey and Badminton.

Means B plays Football, Cricket, Hockey, and Badminton.

3)C and D play Badminton and Tennis.

C plays hockey, Badminton, and Tennis.

4)D and A play Football, Cricket, and Tennis.

Means A plays Football, Cricket, Hockey, and Tennis.

D plays Football, Cricket, Tennis, and Badminton.

Conclusions:

(A) C does not play Cricket→ True

(B) B and D both play Tennis→ False (B does not play Tennis)

(C) A plays football, Cricket, and Badminton→ False (A does not play Badminton)

(D) A, B and D play Football and Cricket→ True

(E) Except B all play Tennis→ True

Hence, "(A), (D) and (E) only" is the correct answer.

The logic follows here is:

i)T likes W5 andQ likes W4 is given in the question.

ii) U does not like W2 or W3 or W6 or W7 is given.

We know,T likes W5 andQ likes W4.

Hence, only W1 is left which is liked by U.

iii)P and R do not like the odd-numbered watches.

Means,Pand Rlike the even-numbered watches.

Three even number watches are there namely W2, W4, and W6.

Here, W4 is already liked by Q andP likes prime numbered watch is given.

Only, W2 is a prime number watch from all the even number watches.

Hence, P likes the W2 watch.

Now, R also like even number watch is given and only W6 is left from all the even number watches.

Hence, R likes the W6 watch.

iv)S likes W2 or W7 is given.

We know that W2 is liked by P.

Hence, W7 is liked by S.

Now, Only W3 is left which is definitely like by V.

Statements:

I. S likes W7→ True

II. R likes W2→ False

III. U likes W1→ True

IV. V likes W3→ True

Hence, the correct answer isI, III, and IV.

Given:

i)A and B play football and hockey.

ii)C and E play Tennis and Cricket.

iii)A and D play Tennis and Volleyball.

iv)B and E play cricket.

v)C and E play volleyball.

vi)C and D play hockey.

vii)D and E play football and cricket.

Drawing the table from the given information:

D play Tennis, Cricket, Hockey, Volleyball, and Football

Hence, the correct answer is"D".

Given:

i)A and B play cricket and Tennis

ii)B and E play hockey

iii)A and C play Volleyball

iv)C and D play Hockey and Tennis

v)C and E play football

Drawing the table from the given information:

D playonly Hockey and Tennis.

Hence, the correct answer is "D".

Given:

i)A and B play cricket and Tennis

ii)B and E play hockey

iii)A and C play Volleyball

iv)C and D play Hockey and Tennis

v)C and E play football

Drawing the table from the given information:

B playshockey, cricket, and tennis.

Hence, the correct answer is "B".

Given:

Four passengers on a train find that they form an interesting group. (Let A, B, C, and D)

Two of them are lawyers and the other two are doctors.

Two of them speak Bengoli and the other two speak Hindi and no two of the same profession speak the same language.

They also find two of them are Christians and two are Muslims and notwo of the same religion speak the same language.

The Hindi speaking doctor is a Christian.

From here, we can definitely say that Bengoli speaking doctors must be Muslims(notwo of the same religion speak the same language. )

Hence, Bengali speaking doctors is a muslim

According to the given information,

The time of departure of next train = 18:00 hrs

As given the train for Patna leaves every two and a half hours from New Delhi Railway Station.

Thus time of departure of previous train = (18:00 - 2:30) hrs = 15:30 hrs

As theannouncement was made at the station that the train for Patna had left 40 minutes ago means: (15:30 + 00:40) = 16:10 hrs

Hence, the correct answer is "16:10 hrs".

Checking the given option :

1) Harish, Javed and Laxman

It is not possible becauseIf Harish and Javed both ride , Laxman cannot ride as given in the question.

2)Harish, Javed and Kumar

It is true becauseIf Harish and Javed both ride, Laxman cannot ride andIf Javed rides, either Kumar or Mohan must ride Kumar and Laxman cannot both ride, but one of them must ride as given in the question.

3)Feroz, Gautam and Javed

It is not possible becauseIf Javed rides, either Kumar or Mohan must ride Kumar and Laxman cannot both ride, but one of them must ride asgiven in the question.

4)Gautam, Kumar and Laxman

It is not possible becauseKumar and Mohan cannot both ride asgiven in the question.

According to the given information :

I)If Harish and Javed both ride, Laxman cannot ride.

II)If Javed rides, either Kumar or Mohan must ride Kumar and Laxman cannot both ride, but one of them must ride.

So, If Javed and Mohan both ride than Harish must ride.

Hence, 'Harish must be' the correct answer.

Given:

A train travels at a certain average speed for a distance of 63 km

Then travels a distance of 72 km at an average speed of 6 km/hr. more than its original speed.

It takes 3 hours to complete the total journey

Total distance:63 + 72 = 135 km

Total time = 3 hr.

Speed = Distance/Time

Using formula;

Speed is equal to 45 km/hr.

The Sum of time for completing 63 km and 72 km must be equal to 3 hr. or 180 min

Now, using the option

1)

60 km/h

Time for 63 km:63/60 = 1.05 hr.

Time for 72km: 72/66= 1.09hr

Not equal to 3 hr.

2)

54 km/hr

Time for 63 km:63/54= 1.16hr.

Time for 72km: 72/60= 1.2hr

Not equal to 3 hr.

3)

42 km/hr.

Time for 63 km:63/42= 1.5hr.

Time for 72km: 72/48= 1.5hr

Equal to 3 hr.

Hence, Original speed is 42 km/hr.

Speed of train A = 80 km/h

Time is taken by train A = t hr

Time is taken by train B = (t - 15/60) hr

Distance = 100 km

Let Speed of Train B = Skm/h

According to ques;

Distance covered by train A = Speed× time

100 = 80× t

t = 5/4 hr

Similarly

Distance covered by train B = Speed× time

100 = S× (t - 15/60)

put t = 5/4 hr

100 = S× (5/4 - 15/60)

100 = S× 1

S = 100 km/h

Hence, Speed of train B is 100 km/h.

Given:

Mr. Kumar drives to work at an average speed of 48 km per hour

The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance.

Concept used:

When the speed Is constant then the ratio of Distance and Time is directly proportional

Speed = Distance/Time

Calculation:

The ratio of Time is

⇒ 60x : 40x = 3x : 2x

According to the questions

⇒ 3x - 2x = 10 mins

⇒ x = 10 minx

Tota time = 5x = 50 mins

⇒ Distance = 48 × (50/60)

⇒ Distance = 40 km.

∴ Mr. Kumar office is 40 km away.

Formula:

Speed =Distance/Time

Calculation:

From 6 am, He drives for 2 hourswith a constant speed of 50km/h,

So distance covered = speed × time =50 × 2 =100km.

The time is now8 am, He increases his speed and drives with a speed of 60km/h to cover the remaining distance(280 - 100) = 180km

So time taken = distance/speed = 180/60= 3 hour.

Initially, drives for2 hours then again for 3 hours,

Total 5 hours, from 6:a.m.

Thereforeat 11 am he will reach Ahmedabad.

Hence,11 a.m.is the correct answer.

1) 8 - 3÷ 16× 36 + 6 = 14

After changing the symbol by their meaning, we get:

L.H.S = 8 × 3- 16+ 36 ÷ 6

= 24 – 16 + 6

= 30 – 16

= 14 = R.H.S

2) 8 + 3÷ 16× 36 - 6 = 14

After changing the symbol by their meaning, we get:

L.H.S = 8 ÷ 3- 16+ 36 × 6

= 2.67 – 16 + 216

= 218.27 – 16

= 202.27 ≠ R.H.S

3) 8÷ 3 - 16 + 36× 6 = 14

After changing the symbol by their meaning, we get:

L.H.S = 8- 3 × 16 ÷ 36+ 6

= 8 – 1.34 + 6

= 14 – 1.34

= 12.66 ≠ R.H.S

4) 8× 3÷ 16 + 36 - 6 = 14

After changing the symbol by their meaning, we get:

L.H.S = 8+ 3- 16 ÷ 36 × 6

= 8 + 3 – 2.64

= 11 – 2.64

= 8.36 ≠ R.H.S

Hence, ‘8 - 3÷ 16× 36 + 6 = 14’ is the correct answer.