- Data Sufficiency Quiz 16
- Data Sufficiency Quiz 15
- Data Sufficiency Quiz 14
- Data Sufficiency Quiz 13
- Data Sufficiency Quiz 12
- Data Sufficiency Quiz 11
- Data Sufficiency Quiz 10
- Data Sufficiency Quiz 9
- Data Sufficiency Quiz 8
- Data Sufficiency Quiz 7
- Data Sufficiency Quiz 6
- Data Sufficiency Quiz 5
- Data Sufficiency Quiz 4
- Data Sufficiency Quiz 3
- Data Sufficiency Quiz 2
- Data Sufficiency Quiz 1

Important for :

1

While writing first N natural numbers, I missed one number. What is the number that I missed?

B

Sum of the first N natural number = | n (n + 1) |

2 |

Let I missed number x then,

N (n + 1) | – x = 320, N(N + 1) – 2X = 640 |

2 |

Product of two consecutive number – 2x = 640

Product of two consecutive number = 640 + 2x

It means, the Product of two consecutive number should be greater than 640

The first possible number = 25 × 26 = 650 = 640 + 2x

it means, the number of terms = 25 = n

and x = 5

If we take n = 26 then

26 × 27 = 702 = 640 + 2x

In this case, x = 31 which is greater than 26 therefore only n = 25 is possible

Hence, we can conclude our answer to this statement.

we can conclude only the condition that the number I missed was an odd number. To this statement it is not possible to get a unique answer.

we can conclude the sum of all the number without missing any number but we don’t have any information about the number I missed.

Hence, option B is correct.

2

A triangle is circumscribed by a circle. What is the perimeter of the triangle?

D

If we combine all the statements then we can conclude that we need to find the perimeter of an isosceles right – angle triangle the hypotenuse of which is 28 cm (the diameter of the circle).

By the Pythagorean theorem, we can get our unique answer.

Hence, option D is correct.

3

What is the respective speed of the two trains, A and B of length 150 meters and 175 meters respectively.

A

From the question, the length of train A = 150 meters and let the speed = x m/sec

And the length of train B = 175 meters and the speed = y m per sec

From the statement I, distance = speed × time

325 = (x + y) × 5

x + y = 65 ------ (i)

From the statement II, x – y = 5 ------- (ii)

If we combine the statement I , and II and solve the equation then we can get our answer.

From the statement III, x + y = 65 ------- (iii)

If we combine statement II, and III then we can get our answer.

Hence, option A is correct.

4

A sum of Rs. 229 was divided among a, b, and c. What is the difference between the share of a and that of b?

D

From the question, a + b + c = 229 ........ (i)

From the statement I, c = 60% (a + b) = > 3a + 3b = 5c ........ (ii)

Multiply equation (i) by 5 and add both the equation then we can get a + b but we cannot find a – b.

From the statement II,

|b – c| = 4 [ The modulus sign is given because we do not know whether b > c or c > b ]

From the statement III, we conclude that c > b

Therefore, by combining statement II and III

c – b = 4 ........... (III)

Put the value of c in the equation I, a + 2b = 225 ........(iv)

Put the value of c in the equation (ii), 3a – 2b = 20 ...... (v)

By solving equation iv and v we can get the values of a and b and hence we can find their difference as well

Therefore, answer can be concluded by combining all the statements.

Hence, option D is correct.

5

A dishonest merchant professes to sell his article at Cost price but uses a faulty scale while selling. What is the profit percentage does the merchant make when he sells the article at Cost Price?

A

From the statement I, we can conclude that the CP = 25

From the statement II, when he sells 100 units that time scale weighs only 80 units

Let the cp of one unit = Rs. 1 then the CP of 80 units = Rs. 80 and the SP of 80 units = Rs. 100

From here we can conclude the profit percentage as 25%. Here we need to calculate percentage value so we don’t have need to exact cost price.

From the statement III, let he sells total 100 units. And the CP of one unit = Rs. 1

Then the SP of 100 units = 120% of 100 = 120 and the net profit percentage = 50% therefore, CP = 80 it means he uses 20% less weight

If he had sold the article at CP then his profit would have been 25%

Hence, option A is correct.