# Quantitative Aptitude: Data Interpretation Questions Set 40

Data Interpretation Questions (DI) for IBPS PO 2017, IBPS PO, NIACL, NICL, SBI PO RBI Grade B, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams.Â Casellete based Data Interpretation Set IBPS PO 2017

Direction (1-5): Study the following information and answer the questions that follow:

Vishal and Shekhar have some toffees initially. Everyday Vishal and Shekhar buy a fixed number of toffees. The number of toffees that they buy each day is different from other’s number. After 4 days, they have equal number of toffees. After 12 days Vishal has 8 (16/23)% more toffees than Shekhar. After 13 days, Sunidhi who has no toffee initially, took 6 toffees from Vishal and 3 toffees from Shekhar, as a result now Vishal has 6 toffees more than Shekhar. After 15 days, they all clubbed together their toffees and divided equally among the three. Now each of them has 71 toffees. Based on this information answer the questions that follows.

1. How many toffees Vishal had initially?
A) 50
B) 48
C) 56
D) 52
E) 64
Option D
Solution
:
Let Vishal has V toffees initially and he buys A toffees each day
Let Shekhar has S toffees initially and he buys B toffees each day
After 4 days, they have equal number of toffees.
hence V+4A = S+4B
=> V-S=4(B-A) —- (i) After 12 days Vishal has 8 (16/23)% =200/13% more toffees than Shekhar
V + 12A = (S+ 12 B)* (1+2/23)
=> V+12A =25/23 * (S+12B) —– (ii) After 13 days, Sunidhi who has no toffee initially, took 6 toffees from Vishal and 3 toffees from Shekhar, as a result now Vishal has 6 toffees more than Shekhar.
Toffees with Vishal after 13 days = V+13B ; when 6 toffees given to Sunidhi now he has V+13A-6
Toffees with Shekhar after 13 days = S +13B; when 3 toffees given to Sunidhi now he has S+13B -3
also ;
V+13A-6 = (S+13B -3) + 6
=>V+13A = S+13B+9
=>V-S=13(B-A)+9 ———– (iii)
After 15 days, they all clubbed together their toffees and divided equally among the three. Now each of them has 71 toffees.
All the toffees that they have after 15 days is due to Vishal and Shekhar, as Sundihi had 0 toffees initially
So V+15A + S+15B=3*71=213 —- (iv)
Equate eq (i) and (iii) for V-S = V-S in each equation , so we have now
4(B-A)= 13(B-A)+9
We get A-B= 1
A=1+B—-(v)
put this in eq (i)
S-V=4
S=V+4— (vi)
Put A=1+B and S=V+4
in eq (ii) and (iv) to get two equations with two variable
we will get
V+12B=88
and
V+15B=97
solve and get
B=3 and V=52
hence
A=4 and S=56
so now we have all the required value; keep them handy
V=52; A=4
S=56; B=3
So Vishal has 52 toffees initially
2. How many toffees Shekhar buys everyday?
A) 2
B) 3
C) 4
D) 5
E) 6
Option B
3. After 14 days how many toffees did Shekhar and Sunidhi had in total?
A) 101
B) 104
C) 107
D) 110
E) 113
Option B
Solution
:
After 14 days Shekhar had 56+14*3 -3 =95 toffees (as 3 toffees have been taken by Sunidhi)
Sunidhi has 9 toffees
total=95+9=104
4. By what percent the number of toffees that Shekhar had was less than that of Vishal after 11 days?
A) 7.90%
B) 8.24%
C) 9.27%
D) 6.24%
E) 7.29%
Option E
Solution
:
After 11 days
Vishal=52+11*4=96
Shekhar=56+11*3=89
Required % = (96-89)/96 *100 =
5. If Vishal and Shekhar keeps on buying toffees in same manner, then the number of toffees they will have in total after 50 days is?
A) 402
B) 503
C) 387
D) 457
E) 458
Option C
Solution
:
After 15 days they had 71 toffees each
So After 50 days
71+71+(50-15)*4 + (50-15)*3= 387

Direction (6-10): Study the following information and answer the questions that follow:

In a bilateral cricket series between India and Australia, the probability that India wins the first game is 0.4. If India wins any game, the probability that it wins the next game is 0.3; otherwise the probability is 0.2.

1. Find the probability that India wins the first two games.
A) 0.08
B) 0.32
C) 0.18
D) 0.12
E) None of these
Option D
Solution
:
P(Win first game)* P(Win second game)= 0.4*0.3=0.12
2. Find the probability that India wins at least one of the first two games.
A) 0.48
B) 0.32
C) 0.56
D) 0.52
E) 0.58
Option D
Solution
:
P(won at least 1 game)= 1- P(won no games)
=1- [P(lost 1st game)*P(lost second game)] =1- [(1-0.4)*(1-0.2)] (0.2) in the second bracket because after losing the first game the probability of wining the second match is 0.2. So 1-0.2 is the probability of losing that game too.
3. Find the probability that India wins the first three games.
A) 0.028
B) 0.030
C) 0.032
D) 0.036
E) 0.044
Option D
Solution
:
0.4*0.3*0.3= 0.036
4. Find the probability that India wins exactly one of the first three matches.
A) 0.416
B) 0.396
C) 0.096
D) 0.404
E) 0.214
Option D
Solution
:
This problem can be solved in three parts
Part 1- India wins first game and loses second and third
part 2= Lose + Win + Lose
Part 3= Lose + Lose+ Win
P (Part 1)= India wins first game * India loses second game* India loses third game
= 0.4 * (1-0.3)* (1-0.2)= 0.4*0.7*0.8 = 0.224
P (Part2)= India loses first game * Wins second game * Loses third game
= (1-0.4)* 0.2 * (1-0.3)= 0.6*0.2*0.7= 0.084
P (Part 3)= L*L*W = (1-0.4)* (1-0.2) * 0.2= 0.6*0.8*0.2= 0.096
P= P1+P2+P3= 0.404
5. Find the probability that India wins exactly one of the first two games.
A) 0.20
B) 0.40
C) 0.44
D) 0.36
E) 0.28
Option B
Solution
:
Part 1= Won first * Lost Second= 0.4* (1-0.3)= 0.4*0.7=0.28
Part 2= Lost First* Won second = (1-0.4)*0.2= 0.6*0.2=0.12
P= 0.28+0.12=0.40

## 28 Thoughts to “Quantitative Aptitude: Data Interpretation Questions Set 40”

…:)

2. Alice

superb ques ðŸ™‚

3. Misha

MAM 5th question not getting understand….

1. Suraj

question or solution?

1. Misha

BOTH SIR

1. Suraj

ok
The questions asks, if Both Vishal and Shekhar buy the toffee at the same rate for 50 days, then how many toffees in total they will have after 50 days
See this line in the passage After 15 days, they all clubbed together their toffees and divided equally among the three. Now each of them has 71 toffees.
It means now each of Vishal, Shekhar and Sunidhi have 71 toffees.
means Vishal and Shekhar till 15 days have = 71 +71 toffees in total
TO calculate for rest of the days i.e 50-15=35 days, we have to multiply this 35 days with the number of toffees that vishal and shekhar buy every day
vishal buys 4 toffee every day, shekhar 3 toffees every day
So total we have
71 + 71 +35*4 + 35*3

1. Misha

thanK U SIR

2. Misha

sir in probability questions i’ve always doubt…what should i do for that topic…

3. Suraj

for probability you must know permutation and combination also. So take any book of quants, give some time to these three chapters, Permutation, Combination and then probability,, first leran the concept and practice some solved questions. Then solve lots of questions without seeing the solution,, spend some time on these topics,, u can ask any doubts after that here on our doubt page: http://aspirantszone.com/discussion-zone-doubts-page-1

4. Misha

ok sir

2. mimi

sir in probability qn it is written – If India wins any game, the probability that it wins the next game is 0.3; otherwise the probability is 0.2.
this means what? what i unstd is probability of winning first game is 0.4
winning 2nd game is 0.3
n loosing 2nd game is 0.2
am i right??
if it is so then why in qn 7,9 and 10 it is written that loosing 2nd game is (1-0.3)
sir plz explain this .. asap

1. Suraj

if india wins any game then the probability to win the next game is 0.3
if india loses any game then the probability to win next game is 0.2

1. mimi

The game India wins or loses is the first game??

2. Suraj

which ques?

3. mimi

4. Suraj

Not necessarily.. for the first game win the prob is given 0.4
Prob for win just after another win is 0.3 .
Means prob of a person winningfirst three games is 0.4Ã—0.3Ã—0.
see that even for 3rd game we have taken 0.3 .. because prob for win just after another win is 0.3 .
0.4 is only for 1st game

5. mimi

oh .. tq sir..
sir plz update daily with di , reasoining and eng quizzes..
these are very gud collection

6. study time;)

1))6 1/2 (2)4 hour

7. study time;)

4))32//5))13 1/5

8. <>>>>>>>>>>>>>

sir,plz explain it.

9. <>>>>>>>>>>>>>

IN QUESTION 4————-it is both compound interest

10. study time;)

sir plz provide di based on pipe and cistain

3. AMAZON

After 12 days Vishal has 8 (16/23)% =200/13% more toffees than Shekhar
V + 12A = (S+ 12 B)* (1+2/23)
=> V+12A =25/23 * (S+12B)

@@surajskt:disqus sir can you explain this step?

1. Suraj

It is given 8 (16/23)% more = 200/23 %
or (100 + 200/23)/100
= 1 + 2/23

4. Sneha Dubey

sir, probability ke questions bhut achhe h…please provide more questions on probability..

5. cActi

@surajskt:disqus ??

6. Richard Parker

thank you AZ for these good questions