First Naukri Data Sufficiency Quiz 1

From 1st statement:

The selling price of 2 pencils=220+(2*5.5)=231/-

Let the marked price is = 100x

Hence 77x=231

So, 100x=300

Hence the marked price is 300/-

From the 2nd statement:

As we don't know the amount of discount given we can’t find the marked price

Let, 

the present age of Narendra Modi is x

the present age of Amit Shah is y

the present age of Aditya is z

the present age of Rahul Gandhi is k

From the First statement

y:z=4:5

Or, 5y=4z….(1)

From 2nd statement

y=20….(2)

x+1=z….(3)

From 3rd statement

k-5=x…(4)

It is clear that any of the  statements individually can’t answer this question

If we combine the first 2 statements then we will get z=25 Hence x=24

Hence the present age of Narendra Modi is 24

The data in statements I and II are sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.

Let the length of A and B are x1 m and x2 m respectively

And their speeds are v1 m/s and v2 m/s respectively

Statement 1:

(x1+x2)/(v1+v2)=50….(1)

Statement 2:

x2=32

|v1-v2|=7 km/hr= (35/18) m/s….(2)

Statement 3:

v1:v2=19:26….(3)

It is clear that any of the statements cannot individually solve the problem.

Now if we combine all the statements

From 3) v2>v1, v1:v2=19:26

From 2) v2-v1=7

Solving this we will get v1=19km/hr=5.27m/s

v2=7.22 m/s

As from statement 2: x2=32m

Hence from statement 1 we can easily find the value of x1 or the length of the bus A

Hence the data in all the statements I, II and III together is necessary to answer the question. Or option (c)

Let, the money is p

Rate of interest r

And the time t

From statement 1:

(prt/100)=p

(rt/100)=1

As t=12.5 we can find the value of r

From statement 2:

p \times \left ( 1 + \frac{r}{100}\right )^{t} = 5832

Here p=5000

t=2

We can easily find the value of r

So, the data in statements I alone or in statement II alone is sufficient to answer the question.

Option c)

Let, the digit at the unit's place is y and the tens’s place is x.

Hence the number is 10x+y

Statement 1:

x+y=13….(1)

Statement 2:

10y+x-10x-y=45

=> 9(y-x)=45

=> y-x=5….(2)

Hence the statement 1 and statement 2 alone is not sufficient to answer the question

But if we combine both the statements then we will get x=4 y=9 hence the number is 49

Hence, The data in both statements I and II together are necessary to answer the question.

Or option d)

Let the speed of Salman is x km/hr

And the speed of John Abraham is y km/hr

From statement 1:

x+5=y … (1)

From statement 2:

If john increases his speed by 25% then his speed will be 1.25y km/hr

1 hr 40 mins = 5/3 hrs

(500/y)-(500/1.25y)=(5/3) …. (2)

Here any of the statements alone cannot solve the statement.

If we combine the 2 statements then from (2) we can find the value of y then from (1) we can find the value of x then by 250/x we can find the answer 

Hence (d)  the data in both the statements I and II together is necessary to answer the question.

 

From statement 1:

As we can’t say weather YZ is the hypotenuse or not hence we cann’t find the area

Statement 2:

Let the length of the perpendicular, base and hypotenuse is x,y,z respectively

Hence,

(x+y-z)/2=5

And

As circumradius is 12.5 cm hence z=12.5*2=25cm

Hence x+y=35…(1)

As from Pythagoras theorem

x^{2} + y^{2} = 25^{2} ....... (2)

By solving 1 and 2 we can find the value of x and y and then we can find the area by xy/2

Hence

The answer is option (b) The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

From statement 1:

25x + 8y = 378

Or, 3.125x+y=47.25 (dividing both sides by 8)

y=47.25-3.125x

This is same as the statement 2 given in the question

Hence we can find the value for x and y or the sum of x and y

Option c) The data in both the statements I and II is not sufficient to answer the question.

From statement 1:

The sum of first k natural numbers is = k(k+1)/2

Let the missing number is p

\frac{k\times\left ( k+1 \right )}{2} -p=195

=> Product of 2 consecutive natural numbers=390-2p

Now the minimum value of k for which k(k+1)>390 is k=20 and the product is 420 and p will be 15

If we take k=21 then p=72 which is not possible

So, the only value that can be missed is 15

Statement 2: This statement alone is not sufficient

Statement 3:This statement is not sufficient

Option b) Only statement I is sufficient. 

Let After the division Shyam got x/-, Baburao got y/- and Raju got z/-

Hence x+y+z=229…(1)

Statement 1:

z=(x+y)*(3/5)

5z-(3x+3y)=0.... (2)

From statement 2:

|y-z|=4…(3)

From statement 3:

z>y…(4)

These 3 statements alone are not sufficient.

From (3) and (4)

z-y=4

Or, z=y+4…(5)

From (2)

5y+20-3x-3y=0

3x-2y=20…(6)

Applying (5) in (1)

x+y+y+4=229

x+2y=225…(7)

By solving (6) and (7) we can get the answer

Hence

Option d) Only statements I, II, and III together are sufficient.