- How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

A. 1480

B. 2520

C. 5040

D. 7020 - A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?

A. 16

B. 20

C. 24

D. 28 - How many 4 digit numbers can be formed using the digits (1, 3, 4, 5, 7, 9) when repetition of digits is not allowed?

A. 300

B. 320

C. 340

D. 360 - Using all the letters of the word 'THURSDAY', how many different words can be formed?

A. 7

B. 7!

C. 8

D. 8! - There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?

A. 280

B. 330

C. 380

D. 430 - The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is:

A. 117

B. 118

C. 119

D. 120 - Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?

A. 30

B. 32

C. 34

D. 36 - A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is:

A. 4

B. 12

C. 18

D. 20 - In how many ways can the letters of the word 'LEADER' be arranged?

A. 72

B. 144

C. 360

D. 720 - How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

A. 5

B. 10

C. 15

D. 20

The Word LOGARITHMS contain 10 letters.

To find how many 4 letter word we can find from that = 10*9*8*7 = 5040

There are three ladies and five gentlemen and a committee of 5 members to be formed.

Number of ways such that two ladies are always included in the committee = 6C

The given digits are six.

The number of 4 digit numbers that can be formed using six digits is 6P

Total number of letters = 8

Using these letters the number of 8 letters words formed is 8P

The total number of stations = 20

From 20 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in 20P

20P

Number of words which can be formed = 5! - 1 = 120 - 1 = 119

We know that, the number of straight lines that can be formed by the 11 points in which 6 points are collinear except those that can be selected out of these 6 points are collinear.

Hence, the required number of straight lines

= 11C

= 55 - 15 - 10 + 2 = 32

Total number of ways = 2C

The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.

Required number of ways = 6! / (1!)(2!)(1!)(1!)(1!) = 360

Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.

The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.

The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.

Required number of numbers = (1 * 5 * 4) = 20

Questions on Age Average Problems

Questions on Average Coding-Decoding Problems

Questions on Coding & Decoding Compound Interest Problems

Questions on Compound Interest LCM-HCF Problems

Questions on L.C.M & H.C.F Number Problems

Questions on Numbers Percentage Problems

Questions on Percentages Permutation-Combination Problems

Questions on Permutation & Combination Pipes-Cisterns Problems

Questions on Pipes & Cisterns Probability Problems

Questions on Probability Profit-Loss Problems

Questions on Profit & Loss More Test Categories - Aptitude Questions

Explore more Test categories

Latest happenings - Sep'18 Current Affairs Test - August 2018

Latest happenings - Aug'18 Current Affairs Test - July 2018

Latest happenings - Jul'18 Indian Economy Test

Test your Indian Economy IQ Indian Science Test

Test your Indian Science IQ Indian Sports Test

Test your Indian Sports IQ Indian Technology Test

Test your Indian Technology IQ More Test Categories - Current Affairs

Explore more Test categories