Question 1

In what proportion would Raj, Karan and Altaf distribute profit among them ? I. Raj gets two-fifth of the profit. II. Karim and Altaf have made 75% of the total investment.

Accepted Answer

Even both the statements together are not sufficient to answer the question.

Question 2

What will be the total weight of 10 poles each of the same weight ? I. One-fourth of the weight of a pole is 5 kilograms. II. The total weight of three poles is 20 kilograms more than the total weight of two poles.

Accepted Answer

From I, we find that the weight of one pole is (5 x 4) = 20 kg ,and so the weight of 10 poles is 200 kg. Thus, I alone is sufficient. From II. we have : (weight of 3 poles — weight of 2 poles) -= 20 kg or weight of one pole - 20 kg. So. weight of 10 poles 200 kg. Thus. II alone is also sufficient

Question 3

In a code, 'lee pee tin' means 'Always keep smiling'. What is the code for ? I. 'tin lut lee' means 'Always keep left'. II. 'dee pee' means 'Rose smiling.

Accepted Answer

Comparing the information in the question with I. we find that 'tin' and 'lee' are the codes for 'always' and 'keep'. So. 'pee' represents 'smiling' Thus, I alone is sufficient Am. comparing the information in the question with II, we find that the common code word 'pee' stands for the common word 'smiling'. Thus, II alone is also sufficient

Question 4

Manoj, Prabhakar, Mash and Kamal are four friends. Who among them is the heaviest '' I. Prabhakar is heavier than Manoj and Kamal but lighter than Akash. II.Manoj is lighter than Prabhakar and Mask but heavier than Kamal.

Accepted Answer

From I, we have, P > M, P > K, A > P. From II we have, M > K, P > M, A > P. Combining the above two, we have : A > P > M > K. Thus, Akash is the heaviest. So, both the statements are required.

Question 5

Each boy contribute rupees equal to the number of girls and each girl contribute rupees equal to the number of boys in a class of 60 students. If the total contribution collected is Rs.1600,how many girls are there in the class ?

Accepted Answer

40

Question 6

First day of the month is Tuesday and Last day of the same month is Monday. Then which one will be that month ?

Accepted Answer

We know that the day repeats after every seven days. Given that first day of the month is Tuesday i.e 1st - Tuesday 1+7 = 8 - Tuesday 8+7 =15- Tuesday 15+7=22-Tuesday 22+7=29-Tuesday But given that last day of the same month is Monday It is possible only in he month of Febuary with 28 days.

Question 7

What day is the fourteenth of a given month I. The last day of the month is a Wednesday. II. The third Saturday of the month was seventeenth.

Accepted Answer

Statement II reveals that 17th Was a Saturday and therefore, 14th was Wednesday So, only statement II is needed

Question 8

Is Arun taller than Sachin ? I. Dinesh is of the same height as Arun and Sachin. II. Sachin is not shorter than Dinesh.

Accepted Answer

From statement I, we can conclude that Dinesh. Arun and Sachin are of the same height So. Arun is not taller than Sachin. Thus, only statement I is sufficient to answer the question. .

Question 9

When is Manohar's birthday this year ? I. It is between January 13 and 15, January 13 being Wednesday. II. It is not on Friday.

Accepted Answer

From statement I, we conclude that Manohar's birthday is on January 14. which is Thursday. this year. So, only I is needed.

Question 10

How many visitors saw the exhibition yesterday ? I. Each entry pass holder can take up to three persons with him/her. II. In all, 243 passes were sold yesterday

Accepted Answer

From the two statements, we find that maximum (243 x 3) i.e, 729 visitors saw the exhibition, But the exact number cannot be determined

Question 11

Vipin's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vipin's salary ? I. Javed's salary is 75% that of Vipin's salary. II. Javed's salary is Rs 4500.

Accepted Answer

Statement I is merely an interpretation of the information contained in the question However, Vipin's salary can be determined from statement II as follows Let Vipin's and Javed's salaries be 4x and ax respectively. Then, 3x = 4500 or x = 1500 Vipin's salary = 4x = Rs 6000. Thus, II alone is sufficient.

Question 12

How is D related to A? I. B is the brother of A. II. B is D's son.

Accepted Answer

From both the statements together, we find that D is the father of B and B is the brother of A. So, D is the father of A. Thus, both the given statements are needed.

Question 13

Rakesh scored more than Raju Ravi scored less than Rakesh Raju scored more than Ravi Ranga score more than Raju but less than Rakesh Then who is the top scorrer among them ?

Accepted Answer

1. Rakesh 2. Ranga 3. Raju 4. Ravi

Question 14

Rohit, 'Kajal, Tanmay and Suman are four friends. Who is the oldest among them ? I. The total age of Kajol and Tanmay together is more than that of Suman. II. The total age of Rohit and Kajol together is less than that of Suntan.

Accepted Answer

From given statements, we find that K + T > S and R - K <S. Thus. who is oldest is not known

Question 15

On which day in April is Gautam's birthday ? I. Gautam was born exactly 28 years after his mother was born. II. His mother will be 55 years 4 months and 5 days on August 18 this year.

Accepted Answer

Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I. Thus, both the statements are required.

Question 16

What is the price range of ordinary wall clocks ? I. The price range of ordinary wrist watches of company X is Rs 400 to Rs 600. II. The price range of ordinary wall clocks of company X is 50 percent that of their ordinary watches.

Accepted Answer

From both the statements together, we can conclude that the price range of ordinary wall clocks is Rs 200 to Rs 300. Thus, both I and II are required

Question 17

How many sons does D have ? I. A's father has three children. II. B is A's brother and son of D.

Accepted Answer

From both I and II together, we can conclude that A and B are the children of D, but the sex of A and the third child of D is not known. So, both the statements together are also not sufficient to answer the question.

Question 18

Buses are always punctual in city X. How long, at the most, will Mr. Roy have to wait for the bus ? I. Mr. Roy has come to the bus stand at 9 A.M. II. There is a bus at 10 A.M. and possibly another bus even earlier.

Accepted Answer

From both the given statements, we find that Mr. Roy reached the bus stand at 9 AM and a bus is sure to arrive at 10 AM. So. Mr. Roy has to wait for at the most one hour.

Question 19

What time did the train leave today ? I. The train normally leaves on time. II. The scheduled departure is at 14 : 30.

Accepted Answer

Clearly, even both the statements together do not reveal the exact time of departure of the train today.

Question 20

What is Gagan's age ? I. Gagan, Vimal and Kunal are all of the siime age. II. Total age of Vimal, Kunal and Anil is 32 and Anil is as old as Vimal and Kunal together.

Accepted Answer

As given in statements I and II, we have G = V = K, V + K + A = 32 and A = V + K. Putting V + K = A in second. we get 2A = 32 or A = 16. Thus, V + K = 16 and V = K. So, V = K = 8. Thus, R = 8 Hence, both the statements are needed.

Data Sufficiency Questions