A car travels first half distance between two places with a speed of 40 kilometre per hour and rest of half distance with a speed of 60 km per hour. The average speed of car is:

Let the total distance covered be"s" km.

Total time taken,

=(s/2)/30+(s/2)/60

=3s/120

Average speed,

=s/(3s/120)

=s(120/3s)

=40 km/hr

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Complete the Given Series

Which is the number that comes next in the following sequence?

4, 6, 12, 14, 28, 30, (....)

Which is the number that comes next in the following sequence?

4, 6, 12, 14, 28, 30, (....)

The given sequence is a combination of two series:

I. 4, 12, 28, (.....) and

II. 6, 14, 30.

Now, the pattern followed in each of the above two series is:

+ 8, + 16, + 32, ... .

So, missing number = (28 + 32) = 60..

A,B,C,D,E and F are six members of a family.

One couple has parents and their children in the family.

A is the son of C and E is the daughter of A.

D is the daughter of F who is the mother of E.

Which of the following pairs is the children?

E is the daughter of A and F is the is the mother of E. so, A is the father of and hence the husband of F. Now, D is the daughter of F. So, D and E are the daughter of A and F. Also, A is the son of C. Now, only B remains. Thus, B and C are the parents of A. Clearly, A and F are the parents of the children D and E..

In following alphabet series , one term missing as shown by question mark . Choose missing term from options.

cx, fu, ir, ?, ol, ri

The first letter of each term is moved three steps forward and the second letter is moved three steps backward to obtain the corresponding letters of the next term.

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When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?

x = 13p + 11 and x = 17q + 9

13p + 11 = 17q + 9

17q - 13p = 2

q =(2 + 13p) /17

The least value of p for which q =(2 + 13p) /17is a whole number is p = 26

x = (13 x 26 + 11)

= (338 + 11)

= 349

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The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pies did the club make?

The total number of pies was 60/5= 12.

The cafeteria contributed : 4

So, the club must have made 12-4=8

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In following questions, a sequence of groups of alphabets and numbers is provided with one term missing , Choose the missing term from options. FLP, INS, LPV, ?

The first and third letters of each term are moved three steps forward and the second letters is moved two steps forward to obtain the corresponding letters of the next term..

Salesman, engineer and accountant. There are two married couple in the family. D, the salesman is married to the lady teacher. The doctor is married to the lawyer. F, the accountant is the son of B and brother of E. C, The lawyer is the daughter in law of A. E is the unmarried engineer. A is the grandmother of F. How is D related to F?

C the daughter in law of A who is the Grand Mother of F Means C is the mother of F. But F is the son of . So, B is C's husband. But C, the lawyer, is married to the doctor. So, B is the doctor. F, the accountant, will be the song of B and C. E is the unmarried engineer. So the other married couples can be that of grandmother of F i .e. A and D. But D, the salesman is married to the lady teacher. So, D, the salesman, father of F, father of B and the husband of A, the lady teacher. D is grandfather of f..

A + B means A is the father of B.

A -B means A is the wife of B.

A x B means A is the brother of B .

A Ã· B means A is the daughter of B.

If P + Q which of the following is true?

P + RÃ·Q means P is the father of R who is the daughter of Q i.e P is the father of R and Q is the mother of it is the husband of Q..

Look at this series: 21, 9, 21, 11, 21, 13, . . .

What number should come next?

What number should come next?

In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.

In this Series 21 is common random number.

Now add 2 with 9.

9 + 2 = 11

21 is next common number.

11 + 2 = 13

21 is next common number.

13 + 2 = 15.

21 is next common number.

So the answer is 21..

If a boat travels at a speed of 20 km per hour in stillwater. Now if it's travelling in downstream speed of 10 km per hour and travel 70 kilometre. What is the time taken by it?

Time= distance /speed

Sister boat is travelling in a downstream the speed of the stream adds up in the speed of boat so its speed=boat speed+downstream speed. which becomes 20+10=30 km/hr. Now applying the formula we get

Time=70/30 we get our answer which is 2.3

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A is the father of C. But C is not his son.

E is the daughter of C. F is the spouse of A.

B is the brother of C.D is the son of B.

G is a spouse B. H is a father of G.

Who is the grandmother of D?

D is the son of B, B is a brother of C and A is a father of C. This means that B is the father of D and A is the father of B.

So, A is the grandfather of D. Now ,F is the spouse of A. So, F is the grandmother of D.

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