IPPB Scale-1 Officer Prelims 2017 - Day 15 (Data Sufficiency))

1. What is the rate of interest per annum ?

I.An amount double itself at SI in 10 years
II.The difference between SI and CI on an amount of Rs.20,000 in 2 years is Rs.200
III.The CI accured in 8 years is more than the amount.

1.Either I or II  is sufficient
2.Both I and II are sufficient
3.Both II and III are sufficient
4.Either I or III is sufficient
5.None of these

Sol. 1.Either I or II is sufficient

From I :
Principal = P, Amount = 2P
Interest = 2P – P = P
SI =P = P*R*10/100 => R = 10%
From II 
R = (200/20000)1/2 * 100 =10%

2. What is the speed of the car ?

I.The bus takes 2hrs more than the train to cover a distance of 220km
II.The car moves 17kmph faster than bus

1.If the data in statement I alone is sufficient to answer the question.
2.If the data in statement II alone is sufficient to answer the question.
3.If the data either in statement I alone or statement II alone are sufficient to answer the question.
4. If the data given in both I and II together are not sufficient to answer the question.
5.If the data in both the statements I and II together are necessary to answer the question.

Sol. 5.If the data in both the statements I and II together are necessary to answer the question.

Time taken by bus = t+2hrs
Speed of the car = S+17
D = 220km
S = 220/t+2
S+17 = 220/t
Equate this two to find the speed
3. How many articles were sold ?

I.Total profit earned was Rs. 2160
II.Cost-price per article was Rs. 680
III. Selling price per article was Rs. 800

1.II and III only are Sufficient
2.I and II only  are Sufficient
3.All I, II and III  are Sufficient
4.Any two of the three  are Sufficient
5.None of these

Sol. 3. All I, II and III are Sufficient

From statements II and III
Profit on each article = 800 – 680 = 120
From statements I, II and III
Number of articles sold
= 2160/120 = 18.
4. What is the speed of the boat in still water ?

I.The boat covers 10km in 2hrs in downstream
II.The boat covers same distance in 5hrs in upstream
III.The speed of stream is one third of that of boat in still water

A)Only I and II together are sufficient
B)Only I and III together are sufficient
C)I, II and III together not sufficient
D)I,II and III together are not necessary
E)I and either II or III are sufficient

Sol. I and II :
U = (5+2)/2 = 3.5kmph
I and III
U+u/3 = 5
4u=15
U=3.7kmph

5. Ganesh  borrowed a sum at CI. What is the amount returned in 2 years ?

I.The rate of interest is 4% PA

II.The SI incurred on the sum in 1 year is Rs.500

III. The borrowed sum is 10 times the amount earned as SI in 2 years

A)Only I and II together are sufficient

B)Only I and III together are sufficient

C)I, II and III together not sufficient

D)II and either I or III are sufficient

E)None of these

Sol. From II and III

SI for 2 years = 1000
P = 10*1000 = 10000
CI =P(1+ R/100)n

6. What is Sasi’s present age ?

I.Sasi is three years older than Sila

II.The ratio between Sila and Renuka’s age is 3:4

A)Only I sufficient

B)Only II sufficient

C)Both I and II are sufficient

D)Neither I nor II are sufficient

E)None of these

Sol. From I and II we cannot find the exact Sasi’s present age.

7. What is the salary of X in a group of X, Y, Z, whose average salary is Rs. 36,700 ?

I.Total Salaries of Y and Z is Rs.78,650

II.Total salaries of X and Y is Rs. 97,550

A)Only I sufficient

B)Only II sufficient

C)Both I and II are sufficient

D)Either I or II are sufficient

E)None of these

Sol. Total Salary = 36700*3 = 110100 = x+y+z

Y+Z = 78650
X+Y = 97550

8. What is the profit earned by selling a TV for Rs.17525 ?

I.The CP of 5 such TV is equal to the SP of 4 such TV

II.13% profit is earned by selling each TV

A)Only I sufficient

B)Only II sufficient

C)Both I and II are sufficient

D)Either I or II are sufficient

E)Neither I or II

Sol.  D)Either I or II are sufficient

Explanation :
From I :
CP = 4/5 = 100*17525/125
From II :
CP = 113*17525/100

9. How many men and women can complete a piece of work in 15 days ?

I.If 12 men can complete the same work in 20 days

II.If 10 women and 6 men  complete the same  work in 12days

A)Only I sufficient

B)Only II sufficient

C)Both I and II are sufficient

D)Either I or II are sufficient

E)Neither I or II

Sol. C)Both I and II are sufficient

Explanation :
12m = 1/20
1m = 1/12*20
10W+6M = 1/12
Find the 1W workdone to find xm+yw = 1/15

10. What is the two digit number ?

I.The sum of the 2 digit number is 6

II.The difference between the 2 digit number is 0

A)Only I sufficient

B)Only II sufficient

C)Both I and II are sufficient

D)Either I or II are sufficient

E)Neither I or II

Sol. C)Both I and II are sufficient

Explanation :
X+y = 6
x-y =0 then x=3, y=3
solve  this 2 equation

Important Note:

To receive the fastest updates on Bank Exams like IBPS, SBI, RBI, IPPB, etc. as well as all other ongoing as well as forthcoming exams, kindly subscribe to our website. All you have to do is enter your email in the pop-up that appears on the website when you first enter it on the home page. Once you’re subscribed, you will receive all the latest updates concerning all competitive exams.

For more Updates & Notifications for bank exams like SBI PO, SBI CLERK, IBPS PO, IBPS RRB, IBPS CLERK, IBPS SO, NIACL, SSC CHSL, SSC CGL etc. like our facebook page at :