Permutation

Q.

A grain wholesaler earns a profit of 12 Rs per bag of wheat sold and a loss of 8 Rs per bag of rice sold.

(a) If he sells 1500 bags of wheat and 2050 bags of rice in a month, what is his profit or loss?

(b) What is the number of wheat bags he must sell to have neither profit nor loss, if the number of rice bags sold is 2400 bags?

Q.

A grain wholesaler earns a profit of rupees 12 per bag of wheat sold and loss of rupees 8 per bag of rice sold. what is the number of wheat bags he must sell to have neither profit nor loss , if the number of rice bags sold is 2400 bags ?

Q.

How many ways are there to arrange the letters in the word ‘GARDEN’ with the vowels in alphabetical order?

1. $120$

2. $240$

3. $360$

4. $480$

Q. Which letter appears exactly in the middle of the 19th letter from the end and the 18th letter from the beginning of the English alphabet?

1. O
2. M
3. L
4. N

Q. The number of integers greater than 6000 that can be formed using the digits 3, 5, 6, 7 and 8 without repetition is

1. 192
2. 120
3. 216
4. 72

Q.

Find the total number of 9 digit numbers which have all different digits.

1. 3265920

2. 3267720

3. $9\times 9!$

4. $9\times 10!$

Q. The letters of the word $AEIOU$ are permuted in all possible ways and the words thus formed are arranged as in a dictionary, the rank of the word $UIOEA$ is:

1. $118$
2. $116$
3. $114$
4. $120$

Q. What are Armstrong numbers?

Q. Find the units' digit in the expression $(515{)}^{31}+(525{)}^{90}$ ?

Q. If ${}^{2n+1}{\text{P}}_{n-1}$ : ${}^{2n-1}{\text{P}}_n$ = 3 : 5 then 'n' is

1. 4
2. 6
3. 7
4. 2

Q. The letters of the word KING are permuted in all possible ways and the words thus formed are arranged as in a dictionary, the rank of the word KING is

1. 19
2. 16
3. 13
4. 14

Q. Sam has 7 liters of water to fill in 14 water bottles, then the ratio of amount of water to the number of water bottles is .

1. 1 : 2
2. 2 : 1
3. 1 : 4

Q. In a certain city, all telephone numbers have six digits, the first two digits always being $41$ or $42$ or $46$ or $62$ or $64$. the number of telephone numbers having all six digits distinct is

1. $8400$
2. $9200$
3. $7200$
4. None of these

Q.

The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is .

1. 55

2. 66

3. 77

4. 88

Q. What was the charge against Bal Gangadhar Tilak, for which he was sentenced to six years' transportation in July $1908$?

1. For being the chief exponent of the cult of extremism
2. For insisting violence during the Surat session of the INC
3. For seditious writings in his paper Kesari
4. For being instrumental in the murder of the British Plaque commissioner in Poona

Q. Find the sum of all $4$ digited numbers that can be formed using the digits $0,2,4,7,8$ without repetition.

1. $545958$
2. $545958$
3. $545968$
4. None of these

Q. The length of the rope is decreased by 12.5%. What is the new length if it was 150 metres

Q. which number is the one digit of the cube of 13 is

Q. For positive integers $x$, let the symbol $\underset{–}{\underset{–}{x}}$ represent the sum of the digits of $x$. For example, $\underset{–}{\underset{–}{74}}=7+4=11$. If $n$ is a positive integer and $\underset{–}{\underset{–}{n}}=\underset{–}{\underset{–}{33}}+\underset{–}{\underset{–}{17}}$, which of the following could be the value of $n$?

1. $65$
2. $86$
3. $14$
4. $51$
5. $34$

Q. Identify the part of a sentence which is grammatically incorrect:

1. D
2. No Error
3. A
4. B
5. C

Q. If one metre of cloth costs $Rs.10,$ then the cost of $10.75$ metres of cloth is

1. $Rs.167.5$
2. $Rs.107.5$
3. $Rs.1075$
4. $Rs.1675$

Q. The letters of the word COCHIN are permuted and all the permutations are arranged in alphabetical order as in English dictionary. The number of words that appear before the word COCHIN is

1. $96$
2. $360$
3. $192$
4. $48$

Q. Find the missing character in the above figure:

5	3	1
12	8	11
139	61	?

1. $12$
2. $120$
3. $63$
4. None of these

Q. The following question is based on the following alphabet series.
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Which letter is the seventh to the right of the thirteenth letter from your left ?

1. S
2. T
3. U
4. V
5. None of these

Q. In a cafetaria, 60 pizzas are sold in 3 hours. At the same rate, how many pizzas would have been sold in 12 hours?

1. 240
2. 20
3. 120
4. 180

Q. In Indian bank, approximately how many degrees should be there in the central angle?

1. ${80}^o$
2. ${12}^o$
3. ${52}^o$
4. ${72}^o$

Q. If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number

1. 601
2. 600
3. 602
4. 603