Find the number of triangles in the given figure

Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
 16 : 69 :: 24 : ? :: 31 : 144 

In the word ‘LAVISLY’, replace each vowel with the next letter in the alphabetical series and each consonant with the previous letter in the Alphabetical Series. How many letters occur more than once in this newly formed word?

Direction : Study the following information carefully and answer the question given below:
Eight friends Manoj, Neeru, Ombir, Vipin, Willy, Xevier, Yacoub and Zampa attend symposiums on different months of the year viz. March, June, October and November, such that not more than two friends attend their symposiums in each of the months. Symposiums can be held on either 10th or 27th day of the month.
No two symposiums can be held on the same day. Willy and Neeru attend the symposiums on the same month. There are three symposiums held between the symposiums of Xevier and Ombir. Willy does not attend their symposium in November. Zampa attends his symposium immediately after Neeru. Vipin attends his symposium in the month of November. The number of friends who attend their symposiums between the symposiums of Yacoub and Zampa is the same as the number of friends who attend their symposiums between the symposiums of Neeru and Vipin. Xevier does not attend the symposium on October. Willy attends his symposium before Neeru.

How many friends attended symposium after Vipin? 

Direction:  Study the following information carefully and answer the questions given below:
Seven friends Sushil, Gaurav, Mahesh, Chandan, Rajiv, Anil and Lalit have different hobbies, viz. Travelling, Reading, Dancing, Painting, Cooking, Singing and Riding , but not necessarily in the same order. Each of them belongs to a different city, viz. Delhi , Mumbai, Agra, Banglore, Hyderabad, Lucknow and Kanpur, but not necessarily in the same order. Sushil belongs to Hyderabad. Chandan likes Riding . The person who likes Cooking is from Mumbai. The person who like Dancing is from Lucknow. Anil does not belong to Lucknow, Mumbai, Delhi or Banglore. Anil does not like Singing, Reading or Painting. Gaurav does not belong to Agra, Mumbai, Delhi or Banglore. Gaurav does not like Painting, Travelling, Reading or Singing. Mahesh does not like Cooking and he is not from Banglore or Delhi. Neither Chandan nor Lalit belongs to Delhi. Sushil does not like Reading. The person from Agra likes singing.

Who among the following belongs to Kanpur? 

In a certain code language, W is written as B, K is written as H, L is written as U, N is written as A, O is written as M, E is written as R, D is written as G, G is written as E, then how will KNOWLEDGE be written in that code?

In the following question, select the missing number from the given series.
111, 222, 444, ?, 1776, 3552

Direction: In each question given below two/three statements are followed by two conclusions numbered I and II. You have to take the all given statements to be true even if they seem to be at variance from the commonly known facts. Read the conclusions and decide which logically follows from the two given statements disregarding commonly known facts:
 A. If only conclusion I follows.
 B. If only conclusion II follows.
 C. If either conclusion I or II follows.
 D. If neither conclusion I nor II follows.
 E. If both conclusions I and II follow. 

Statements:
 Some boys are graduates.
 All Bachelors are not boys.
 Some boys smoke regularly.
 Conclusions:
 (I) All bachelor do not smoke regularly.
 (II) All Bachelors may be graduates.