Number Series & Data Sufficiency Quiz for SBI PO

Find the value of  X.

Ques 1) 5, 11, 131, 635, X
a) 1955
b) 1793
c)1835
d)1493




Ques 2) 10, 99, 686, 3425, 10272, X
a) 10542
b) 21542
c) 20542
d) 11542


Ques 3) 22, 24, 12, 8.4, 9.2, X
a) 18.4
b) 11.02
c) 24
d) 10.2


Ques 4) 77, 28, 64, 39, 55, X
a) 11
b) 31
c) 47
d) 46


Ques 5) 2, 4, 8 , 64, X
a) 512
b) 514
c) 216
d) 24


DATA SUFFICIENCY QUIZ:

Directions: 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 statements are sufficient to answer the question. Read both the statements and give answer.

Ques 6) For a badminton tournament, 2 players are to be selected from a group of ‘n’ players to form a doubles team. What is the value of n?

Statements
(i) The number of ways in which 2 players can be selected from a group of ‘n’ players is 21.
(ii) The number of ways of selecting 2 players from a group of ‘n’ players is the same as selecting 5persons from a group of ‘n’ players.

a) If the data in both statements I and II together are not sufficient to answer the question.
b) If the data in both the statement I and II together are necessary to answer the question.
c) If either of the data in statement I alone or in statement II alone are sufficient to answer the question.
d) 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
e) 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.


Ques 7) 8 men and 14 women are working together in a field, after working for 3 days, 5 men and 8 women leave the work.how many more days will be required to complete the work?

Statements
(i)19men and 12 women together can complete the work in 18days.
(ii)16 men can complete two third of the work in 16days.
(iii) In a day, the work done by three men is equal to the work done by four women.

a) (i) only is sufficient
b) (ii) only is sufficient
c) (iii) only is sufficient
d) (i) or (ii) or (iii) is sufficient
e) (ii) or (iii) only is sufficient


Ques 8) At what time will the train reach city X from city Y?

Statements
(i) The train crosses another train of equal length of 200 meters and running in opposite directions in 15 seconds.
(ii)The train leaves city Y at 7.15 a.m. for city X situated at a distance of 558 km
(iii) The 200 metres long train crosses a signal pole in 10seconds.

a) (i) only is sufficient
b) (ii)only is sufficient
c) (iii)only is sufficient
d) (i) or (iii) only is sufficient
e) All (i), (ii) and (iii) are required


Ques 9) What was the percentage of discount given?

Statements
(i) 23.5% profit was earned by selling an almirah of Rs.12350
(ii) If there were no discount, the earned profit would have been 30%
(iii) the cost price of the Almirah was Rs. 10000

a) only (i) and (ii) are sufficient
b) only (ii) and (iii) are sufficient
c) only (i) and (iii) are sufficient
d) any two of the three are sufficient
e) none of these


Ques 10) In a phone directory, 20% of the names start with A. The names that start with surnames are 25%, what percent of names start with A but not with the surname.?

Statements
(i).The names that start with surnames and with C are 10% of all the names in the directory and those that start with surnames but not with B are 15% of all the names in the directory.
(ii) The names that start with surnames and with B are 10% of all the names in the directory and those that start with the surnames but not with C are 10% of all the names on the directory.

a) If the data in both statements (i) and (ii) together is not sufficient to answer the question.
b) If the data in both the statement (i) and ii together is necessary to answer the question.
c) If either of the data in statement (i) alone or in the statement (ii) alone are sufficient to answer the question.
d) If the data in statement (i) alone is sufficient to answer the question, while the data in statement (ii) alone are not sufficient to answer the question
e) If the data in statement (ii) alone is sufficient to answer the question, while the data in statement (i) alone are not sufficient to answer the question.


Solution with Explanation

Solution 1

+(1*2*3) , + (4*5*6) , + (7*8*9), + (10*11*12)
5 + (1*2*3) = 5+6=11
11+ (4*5*6)=11+(120) = 131
131+ (7*8*9)= 131+504 = 635
So 635 + (10*11*12) = 635+ 1320 = 1955

Solution 2

The series follows a pattern of multiplying the number with a prime number and subtracting the same from the resultant after multiplication, prime numbers in descending order starting from 11.

*11-11 , *7-7 , *5-5 , *3-3 , *2-2
10 *11-11= 99
99*7-7=686
686*5-5=3425
3425*3-3=10272
10272*2-2=20542

Solution 3

22, 24 , 12 , 8.4 , 9.2, x This series is really simple but doesn’t strikes our minds at once, the pattern is

÷1+2 , ÷3+4 , ÷5+6 , ÷7+8 , ÷9+10
So
22/1+2=24
24/3+4=12
12/5+6=8.4
8.4/7+8= 9.2
9.2/9+10=11.02

Solution 4

77, 28, 64 , 39 , 55 , x
77- (72) = 28 ,
28+(62) =64 ,
64- (52) = 39 ,
39+ (42) = 55,
Answer : 55- (32)=46

Solution 5

2 , 4 , 8 , 64 , x
The pattern is * , ( )³ , ( ) , ( )⁷

2 * = 4
4*( )³ = 8
8 * ( ) =64
64* ( )⁷ =512


Solution 6




Solution 7

Clearly, (i) only gives the answer
Similarly (ii) only gives the answer
And (iii) gives the answer
So correct answer is (d)

Solution 8

(iii) gives , speed =200/10 m/s = 20 m/s = 20 x 18/5 = 72 km/hr

(ii) gives,time taken = 558/72 = 7 hrs 45 min
So the train will reach city X at 3 p.m.
Hence , (i) is redundant.

Solution 9

(i) SP =Rs. 12350, gain = 23.5 %
CP = Rs.( 100/ 123.5 x 12350) = Rs. 10000
(ii) MP = 130% of Rs.10000 = Rs.13000
From (i) and (ii), discout= Rs.(13000-12350) = 650
Discount % = 650/ 13000*100 = 5%
(iii) gives CP = Rs. 10000
So (ii) and (iii) give the answer
Correct answer is e

Solution 10

From statement (i)
The names that start with surnames and with C are 10%
With B are 25% - 15% = 10%
i.e. 5% of the names that start with the surnames do not start with B or C , but we also do not know how many of them start with A
Hence we cannot answer this question

From statement (ii)
The names that start with surnames and with B are 10%
With C are 25% - 10% = 15%
Not a single name starts with the surname and the letter A, thus we can answer the question.
Hence E
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