PERCENTAGE

PERCENTAGE

QUES 1: If the price of an article increases by 40%.  Then how much consumption should be reduce,     

                so that the expenditure remain same?

(i)                  40%        (ii)          28.57 % (iii)         28%        (iv)         66.66%  (v) None of these

       QUES 2:  If Rita’s marks are 20% more than Neeta’s marks. Then find Neeta’s marks are how much       

                      percent less than Rita’s marks?

(i)                  25%        (ii)           20%       (iii)          16.67% (iv)          15%        (v)  None of these

       QUES 3:  If the length of rectangle increase by 12% and width decrease by 8%.Then find percent

                       change in area?

(i)                  4%          (ii)           3.04%    (iii)          8%        (iv)           5%          (v)  None of these

        QUES 4: If the price of petrol increase by 15% and consumption increase by 20% .Then find percent

                      change in expenditure?

(i)                  38%        (ii)           35%       (iii)          25%     (iv)            5%          (v)  None of these

         QUES 5: The radius of circle increase by 15%.Then find the percent change in area?

(i)                  30%        (ii)           22.5%    (iii)          32.25%(iv)           15%        (v)  None of these

        QUES 6: The radius of circle decrease by 9%.Then find the percent change in area?

(i)                  9%          (ii)           18%       (iii)          8.1%    (iv)            17.19%  (v)  None of these

  QUES 7: A shop keeper increases a price of article by 12% and then decrease by 12%..Find the total loss / gain percent?

(i)                  25% Loss(ii)           24% Loss(iii)     25.44% Gain (iv)  1.44% Loss(v)  None of these

  QUES 8: Richa spends 18% of her income on rent. 6% on transport 15% on house hold article, 16%

                  on saving. Then she has Rs. 1575 left. What was her total income?

(i)                  2500       (ii)           5300      (iii)          3000   (iv)             3500       (v)  None of these

  QUES 9: Rajan spent 20% of his income on sports , 25% of the remaining on house hold article and

                 10% of the remaining on savings. Then he has Rs. 5400 left. What was his total income?

(i)                  6000       (ii)           7500      (iii)          10000 (iv)             8500       (v)  None of these

  QUES 10: Radhika spends 20% of her income on rent, 15% of the remaining on food and 10% on

                  Cloth, 10% of the remaining on other expenses. Then she has Rs. 18900. Find her total

                  income?

(i)                  1,15,000(ii)           1,00,000 (iii)       35,000 (iv)        95,000 (v)  None of these

QUES 11: Mr. Gupta gives 1/3^rd of his income to his wife, 1/7^th of the remaining to his daughter, 2/7^th

                 of the remaining to trust.Then he has Rs. 4200 left. Find his total income?

(i)                  10,920   (ii)          12,090    (iii)          10,200 (iv)           10,290   (v) ) None of these

QUES 12: Gauri gives 4/7^th  of her monthly income to her mother, 1/3^rd  of the remaining to her 

                  father. Then she has Rs. 9800 left. Find her total annual income?

(i)                  41160    (ii)        34300   (iii)           411160(iv)           31160    (v) ) None of these

QUES 13: If the population of the village is 800 and if it increases 5% annually. What is the                   

                  population after 2 years?

(i)                  882         (ii)        880         (iii)            885      (iv)            892         (v) ) None of these

       QUES 14: If the population of the town is 25000.If it increases 10% in 1^st year, decreases 20% in 2^nd

                                year and increase 15% in 3^rd year. Then find the population after 3 years?   

(i)                  25300    (ii)        23500   (iii)              25500(iv)              24500    (v) ) None of these

QUES 15: In an election between two candidates. One get 64% of total votes and he won by 12600

                 votes. Find the number of votes obtain by the other candidate?

(i)                  12600    (ii)        16000   (iii)              16200(iv)              16000    (v) ) None of these

QUES 16: In an election between two candidates. One get 40% of total valid votes and he losses by 3600

                 votes. 10% of total votes were invalid. Find the total number of votes?

(i)                  2000       (ii)        35000   (iii)              20000(iv)              15000    (v) ) None of these

QUES 17: If the numerator of a fraction is increase by 300% and the denominator increase by 150%.

                 The resultant fraction is 3/5. Find the original fraction?

(i)                  3/7         (ii)        5/8       (iii)      24/25        (iv)               3/8         (v) ) None of these

ANSWERS

Question	Answer	Question	Answer	Question	Answer
1	(ii)	7	(iv)	13	(i)
2	(iii)	8	(iv)	14	(i)
3	(ii)	9	(iii)	15	(iii)
4	(i)	10	(iii)	16	(iii)
5	(iii)	11	(iv)	17	(iv)
6	(iv)	12	(ii)

PERMUTATION

QUESTIONS

QUES 1: In how many different ways can the letters of the word ‘DEPARTMENT’ be arranged?

QUES 2: In how many different ways can the letters of the word ‘TELECOM’ be arranged?

QUES 3: In how many different ways can the letters of the word ‘UNIVERSE’ be arranged?

QUES 4: In how many different ways can the letters of the word ‘BUSINESS’ be arranged?

QUES 5: In how many different ways can the letters of the word ‘ACCESS’ be arranged. So, all the S’s always comes together?                                     

QUES 6: In how many different ways can the letters of the word ‘FOLLOWED’ be arranged. So, all the vowels always comes together?

QUES 7: In how many different ways can the letters of the word ‘COMMUNICATIONS’ be arranged. So, that M,N & U always comes together?

QUES 8: In how many different ways can the letters of the word ‘KNOCK’ be arranged?

QUES 9: In how many different ways can the letters of the word ‘DEVELOPERS’ be arranged. So, that all the vowels always comes together?

 QUES 10: In how many different ways can the letters of the word ‘ASSISSINATION’ be arranged. So, that all the S's always comes together?

QUES 11: In how many different ways can the letters of the word ‘HAPPINESS’ be arranged. So, that A,P& I always comes together?

QUES 12: In how many different ways can the letters of the word ‘INHALE’ be arranged ?

ANSWERS:

Question	Answer	Question	Answer
1	907200	7	13608000
2	2520	8	60
3	20160	9	20160
4	6720	10	151200
5	60	11	4320
6	1080	12	720

RUCHI JAIN

QUESTION ON PROBABILITY

QUES 1:

There are 8 Male and 7 Female Persons in a Committee we have to select 4 persons for a group.

A)     What is the probability that 3 Male and 1 Female person is there ?

(i)                  25/39     (ii)           56/195  (iii)          11/39     (iv)         156/195                (v)          None of these

B)      What is the probability that atleast 1 Female person is there ?

(i)                  37/39     (ii)           85/195  (iii)          11/195  (iv)         65/195                  (v)          None of these

C)      What is the probability that atmost 2  Male persons is there ?

(i)                  5/63       (ii)           56/165  (iii)          11/65     (iv)         43/65                     (v)          None of these

D)     What is the probability that no Female person is there ?

(i)                  5/39       (ii)           6/195     (iii)          2/39       (iv)         56/195                  (v)          None of these

QUES 2:

In a college 6 Arts, 8 Commerce and 5 Science teachers are there.

A)     If 5 teachers are seleted at random, then what is the probability that 2 Arts, 2 Commerce and 1 science teacher is there?

(i)            175/969                (ii)           65/969  (iii)          64/323  (iv)         6/19       (v)          None of these

B)      If 4 teachers are seleted at random, then what is the probability that no Commerce  teacher is there?

(i)            5/323     (ii)           5/646     (iii)          1/11       (iv)         55/646  (v)          None of these

C)      If 3 teachers are seleted at random, then what is the probability that atleast 1 Arts  teacher is there?

(i)            5/9         (ii)           56/969  (iii)          37/39     (iv)         683/969                (v)          None of these

D)     If 3 teachers are seleted at random, then what is the probability that exactly 1 science teacher and 2 other than science teachers are there?

(i)                  55/969  (ii)           455/969                (iii)          1/69       (iv)         56/69     (v)          None of these

QUES 3:

A bag contains 5 Red, 3 Green, 2 Blue and 4 Yellow balls.

A)     If 2 balls are drawn randomly, what is the probability that both are Yellow ?

(i)            1/28       (ii)           6/91       (iii)          3/14       (iv)         1/9         (v)          None of these

B)      If 3 balls are drawn randomly, what is the probability that 2 are Green and 1 is Yellow ?

(i)            3/14       (ii)           2/91       (iii)          9/182     (iv)         3/91       (v)          None of these

C)      If 3 balls are drawn randomly, what is the probability that atleast 1 is Red ?

(i)                  10/13     (ii)           1/13       (iii)          3/13       (iv)         2/13       (v)          None of these

ANSWERS :

QUES 1 :                              

A)     (ii)

B)      (i)

C)      (iv)

D)     (iii)

QUES 2 :

A)     (i)

B)      (iv)

C)      (iv)

D)     (ii)

QUES 3 :

A)     (ii)

B)      (iv)

C)      (i)

QUESTIONS BASED ON PROBABILITY

QUES 1:

An urn contains 6 Red, 4 Blue, 2 Green and 3 Yellow marbles.

(a)    If two marbles are picked at random, what is the probability that both are Red?

(i)                  1/7         (ii)          1/3         (iii)          2/15       (iv)         2/5         (v) None of these

(b)   If three marbles are picked at random, what is the probability that two are Blue and one is Yellow ?

(i)                  3/91       (ii)           1/5         (iii)          18/455  (iv)         7/15       (v) None of these

(c)    If four marbles are picked at random, what is the probability that at least one is Blue?

(i)                  4/15       (ii)           69/91     (iii)          11/15     (iv)         22/91     (v) None of these

(d)   If two marbles are picked at random, what is the probability that either both are Green or both are Yellow ?

(i)                  5/91       (ii)           1/35       (iii)          1/3         (iv)         4/105     (v) None of these

(e)   If four marbles are picked at random, what is the probability that one is Green, two are  Blue and one is Red?

(i)                  24/455  (ii)           13/35     (iii)          11/15     (iv)         7/91       (v) None of these

QUES 2:

 A bag contains 3 Red balls, 5 Blue balls and 6 Green balls.

(a)    If three balls are randomly drawn from  the bag, then what is the probability that all are Blue coloured ?

(i)                  3/18       (ii)           5/182     (iii)          25/182 (iv)         1/4        (v)          None of these

(b)   If three balls are randomly drawn from the bag, then what is the probability that 2 are Green and 1 is Red.

(i)                  54/364  (ii)           2 5/182 (iii)          15/364  (iv)         45/364 (v)          None of these

(c)    If two balls are randomly drawn from the bag, then what is the probability that either both are Red or Blue ?

(i)                  13/18     (ii)           2 5/91    (iii)          30/91     (iv)         31/91    (v)          None of these

(d)   If three balls are randomly drawn from the bag, then what is the probability that atmost 2 are Green.

(i)                  5/91       (ii)           86/91     (iii)          2 5/51    (iv)         1/24      (v)          None of these

(e)   If three balls are randomly drawn from the bag, then what is the probability that atleast 1 is Red.

(i)                  199/364(ii)           2 5/364 (iii)          1/12       (iv)         1/364    (v)          None of these

(f)     If three balls are randomly drawn from the bag, then what is the probability that none is Blue.

(i)                  3/13        (ii)           7/18       (iii)          2 5/113 (iv)          1/3        (v)          None of these

(g)    If three balls are randomly drawn from the bag, then what is the probability that one is Blue and other 2 are of other than Blue.

(i)                  3/18       (ii)           2 5/18    (iii)          45/91     (iv)         1/4        (v)          None of these

 ANSWERS:

QUES 1

(a)  (i)

(b)  (iii)        

(c)   (iii)

(d)  (iv)

(e)  (i)

QUES 2

(a)  (ii)

(b)  (iv)

(c)   (iii)

(d)  (ii)

(e)  (i)

(f)   (i)

(g)  (iii)