A box contains 24 identical balls of which 12 are white and 12 are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the 4th time on the 7th draw is?

How many odd numbers less than 1000 can be formed by using the digits 0,3,5,7 when repetition of digits is not allowed?

In each of the following questions there are some statements. Which are followed by some conclusions. Choose the conclusions which logically follow from the given statements. Statements: Some tables are treesSome trees are flowersAll flowers are jungles Conclusion:1. Some jungles are tables2. Some trees are jungles3. Some flowers are tables 4. All jungles are flowers A.) Only 2 followsB.) Only 1 and 2 follows C.) Only 2 and 3 follows D.) Only 3 followsE.) None of these

In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statementsare sufficient to answer the question. Read both the statements and Give answer(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question(D) If the data given in both statements I and II together are not sufficient to answer the question and(E) If the data in both statements I and II together are necessary to answer the question.what are the sides of an right angled triangle?I.The difference between hypotenuse and base is 6cmII.The difference between the hypotenuse and perpendicular is 3 cm.

In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statementsare sufficient to answer the question. Read both the statements and Give answer(A) If the data in statement I alone are sufficient to answer the question,

while the data in statement II alone are not sufficient to answer the question(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question(D) If the data given in both statements I and II together are not sufficient to answer the question and(E) If the data in both statements I and II together are necessary to answer the question.what wil come inplace of c in the series a,b,c,d,e ?I.a,b,c,d,e are five consecutive even numbers.II.common difference between two consecutive numbers is 2,and a is second smallest natural number.

Statements:Some cups are pots.All the pots are tubes.All the cups are bottles.Conclusions:1.Some bottles are tubes.2.Some pots are bottles. 3.Some tubes are cups.

1) Only (1)

2) Only (2)3) Only (3)4) none of these

Correct Option is: 4

Statements:Some questions are answers.Some answers are writers.All the writers are poets.Conclusions:1.Some writers are answers.2.Some poets are questions.3.All the questions are poets.4.Some poets are answers.

1) Only (1) and (2)2) Only (1) and (4)3) Only (1) and (3)

4) Only (2) and (4)

Correct Option is: 2

Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water?

hree men (Tom, Peter and Jack) and three women (Eliza, Anne and Karen) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of cottages.1. Anne, Tom and Jack do not want to stay in any cottage, which is at the end of the row. 2. Eliza and Anne are unwilling to stay beside any occupied cottage.3. Karen is next to Peter and Jack.4. Between Anne and Jack?s cottage there is just one vacant cottage.5. None of the girls occupy adjacent cottages.6. The cottage occupied by Tom is next to an end cottage.

How many of them occupy cottages next to a vacant cottage?

1) 22) 33) 44) 5

Correct Option is:

3

Directions (Questions 46-50) In each of the following questions one word is different from therest. Find out the word which does not belong to the group46. A) Yokel B) Upshot C) Lout D) Bumpkin47. A) Sofa B) Bed C) Divan D) Chair E) Table48. A) Keraunophobia B) Tonitrophobia C) Phonophobia D) Astraphobia49. A) HB B) ZU C) NI D) TO E) PK50. A) Printer B) Author C) Publisher D) Correspondent E) Reader

16.A) From which train did you come?B) A series of incidents have taken place.C) It is a five men committee.D) This pronunciation is peculiar to Bengalis.17.A) They have placed order for books.B) He has applied for lectureship.C) The river has overflown its bank.D) Give me rupees two and a half.18.A) The proceeds of the charity show are for riot victimsB) He asked Ajay and I to go.C) The weather of this place does not suit me.D Either Rajesh or his friends has done it.19.A) It is far too hard an essay for me to attempt.B) It is too far hard an essay to attempt for me.C) Too far it is an essay hard for me to attempt.D) It is too hard an essay for me to far attempt20.A) Hoping to be hearing from you, I remain yours sincerely.B) Hoping to hear from you, I remain yours sincerely.C) Hoping to have heard from you, I sincerely remain yours.D) Sincerely I remain yours hoping to be hearing from you.