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**Quiz Description** :

**Name: **Data Sufficiency Objective Question answer test

**Subject: **Aptitude

**Topic: **Data Sufficiency

**Questions: **5 objective Type

**Time Allowed: **12 minutes

**Important for: **SBI PO, IBPS PO, CAT, GATE, Research Aptitude Test etc.

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- Question 1 of 5
##### 1. Question

1 pointsFind three positive consecutive even numbers.

A. The average of four consecutive even numbers starting room the last of the given numbers is 17.

B. The difference of the highest and the lowest number is 4.

C. The sum of the squares of the three numbers is 440.CorrectLet the three consecutive even numbers be x -2, x and x + 2.

A ⇒ [(x + 2) + (x + 4) + (x + 6) + (x + 8)] / 4

= 17

or, 4x + 20 = 4 × 17

∴ x = 12

So, The numbers are 10, 12, 14.C ⇒ [(x – 2)

^{2}+ x^{2}+ (x + 2)^{2}] / 440

or, 2(x^{2}+ 4) + x^{2}= 440

or, 3x^{2}= 432

or, x^{2}= 144

∴ x = ±12Neglecting the –ve value, we have x =12 and the number are 10, 12 and 14.

Thus, we conclude that either A or C is sufficient to find out the numbers. Hence, the answer if Either A or C is sufficient to answer the problem.IncorrectLet the three consecutive even numbers be x -2, x and x + 2.

A ⇒ [(x + 2) + (x + 4) + (x + 6) + (x + 8)] / 4

= 17

or, 4x + 20 = 4 × 17

∴ x = 12

So, The numbers are 10, 12, 14.C ⇒ [(x – 2)

^{2}+ x^{2}+ (x + 2)^{2}] / 440

or, 2(x^{2}+ 4) + x^{2}= 440

or, 3x^{2}= 432

or, x^{2}= 144

∴ x = ±12Neglecting the –ve value, we have x =12 and the number are 10, 12 and 14.

Thus, we conclude that either A or C is sufficient to find out the numbers. Hence, the answer if Either A or C is sufficient to answer the problem. - Question 2 of 5
##### 2. Question

1 pointsFind the number of sheep in a group of sheep and pigeons;

**A.**The total number of pigeons is one-third that of sheep.

**B.**In the group, the no. of legs is 36 more than twice the number of heads.

**C.**If 4 rabbits, which is two-thirds of the numbers for pigeons, be included in the group, the total number rises of 28.CorrectNumbers of pigeons = 4 × 3/2 = 6

Then numbers of sheep = 6 × 3 = 18

From B statement alone: numbers of legs = 2 × numbers of heads + 36

or, 4S + 2P = 2(S + P) + 36

Where S = number of sheep and P = numbers of pigeons

(A sheep has four legs while a pigeon has 2, but each of them has only one head.)

Or, 2S = 36

∴ S = 18

Thus statement ‘Either B alone or A and C together are sufficient’ fullfille the conditions about the question given.IncorrectNumbers of pigeons = 4 × 3/2 = 6

Then numbers of sheep = 6 × 3 = 18

From B statement alone: numbers of legs = 2 × numbers of heads + 36

or, 4S + 2P = 2(S + P) + 36

Where S = number of sheep and P = numbers of pigeons

(A sheep has four legs while a pigeon has 2, but each of them has only one head.)

Or, 2S = 36

∴ S = 18

Thus statement ‘Either B alone or A and C together are sufficient’ fullfille the conditions about the question given. - Question 3 of 5
##### 3. Question

1 pointsRahul’s income is how much more than Sohan’s income?

A. Rahul’s income is 30% less than her husband’s whose provident fund deduction at the rate of 5% is Rs. 975 per month.

B. Sohan’s spends 30% of her income on house rent, 15% of which is electricity bill.

C. Rahul’s expenditure on house rent is Rs, 4500 more than that of Sohan’s.CorrectFrom statement A, David’s income can be obtained. But Sohan’s income can’t be obtained even with the help of B and C together. So, our answer is ‘All even together are not sufficient’ is correct for answer the question.

IncorrectFrom statement A, David’s income can be obtained. But Sohan’s income can’t be obtained even with the help of B and C together. So, our answer is ‘All even together are not sufficient’ is correct for answer the question.

- Question 4 of 5
##### 4. Question

1 pointsRs. 310 is divided among three persons A, B and C. Find A’s share.

A. B gets Rs. 16 more than C.

B. A gets Rs. 3 more than C.

C. A gets Rs. 13 less than B.CorrectWe have A + B + C = 310

(A) ⇒ B = 16 + C;

(B) ⇒ A = 3 + C;

(C) ⇒ A = B – 13;

So, from any two of the statements A, B and C the share of any person can be obtained. Thus ‘All together are necessary’ is correct.IncorrectWe have A + B + C = 310

(A) ⇒ B = 16 + C;

(B) ⇒ A = 3 + C;

(C) ⇒ A = B – 13;

So, from any two of the statements A, B and C the share of any person can be obtained. Thus ‘All together are necessary’ is correct. - Question 5 of 5
##### 5. Question

1 pointsFind out the share of B out of the combined share of A, B and C of Rs. 946.

A. The share of A is 2/9 of the combined share of B and C.

B. The share of B is 3/19 of the combined share of A and C.

C. The share of C is 2.143 times the combined share of B and A.Correct(B) ⇒ B : (A + C) = 3/19 = 3 : 19

∴ B = 3 / (3 + 19 = 22) × 946 = 3 × 43 = Rs. 129(A) ⇒ A : (B + C) = 2/9 = 2 : 9

∴ A = 2 / (2 + 9 = 11) × 946 = 2 × 86 = Rs. 172(C) ⇒ C : (A + B) = 2.143 = 2143/1000 = 2143 : 1000

∴ C = [2143 / 3143] × 946 = Rs. 645So, (A) + (C) = A + C = 172 + 645 = 817

We have, A + B + C = 946

Hence, B = 946 – 817 = Rs 129

Thus A and C together are also sufficient. Thus ‘Either statement A and C together or B alone is sufficient’ is correct as per the question requirement.Incorrect(B) ⇒ B : (A + C) = 3/19 = 3 : 19

∴ B = 3 / (3 + 19 = 22) × 946 = 3 × 43 = Rs. 129(A) ⇒ A : (B + C) = 2/9 = 2 : 9

∴ A = 2 / (2 + 9 = 11) × 946 = 2 × 86 = Rs. 172(C) ⇒ C : (A + B) = 2.143 = 2143/1000 = 2143 : 1000

∴ C = [2143 / 3143] × 946 = Rs. 645So, (A) + (C) = A + C = 172 + 645 = 817

We have, A + B + C = 946

Hence, B = 946 – 817 = Rs 129

Thus A and C together are also sufficient. Thus ‘Either statement A and C together or B alone is sufficient’ is correct as per the question requirement.