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**Quiz Description** :

**Name: **Three Statement Data Sufficiency MCQ quiz – 2

**Subject: **Aptitude

**Topic: **Data Sufficiency

**Questions: **10 objective type

**Time Allowed: **15 minutes

**Important for: **IBPS PO, SBI PO, RBI Assistant, SSC CGL, RAT and other competitive examination.

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- Question 1 of 10
##### 1. Question

1 pointsIncome of JULIAN is 5/3 of the income of DANIEL. The expenses of JULIAN, DANIEL and R are in the ratio of 6 : 4 : 5. Find the expenses of DANIEL.

A. Expenses of R is Rs. 2000 less than that of JULIAN.

B. JULIAN’s saving is Rs. 3000.

C. Income of R is one-third of the total incomes of JULIAN, DANIEL and R of Rs. 36000.Correct(A) ⇒ Expenses of (JULIAN – R) = 6 – 5 = 1 ≡ Rs. 2000

∴ Expense of DANIEL = 4 ≡ Rs. 8000

(C) ⇒ Income of R = 36000/3 = Rs. 12000

∴ Income of (JULIAN + DANIEL) = RS. 24000

Income of JULIAN + 3/5 income of JULIAN = Rs. 24000

∴ Income of JULIAN = 24000 × 5/8 = Rs. 15000

(B) ⇒ JULIAN’s saving = JULIAN’s (income – expense) = Rs. 3000

Now, (B) + (C) ⇒ JULIAN’s expense = 15000 – 3000 = Rs. 12000

∴ Expense of DANIEL = 1200/6× 4 = Rs. 8000

Hence our answer is ‘**Either B and C together or A alone is sufficient**’.Incorrect(A) ⇒ Expenses of (JULIAN – R) = 6 – 5 = 1 ≡ Rs. 2000

∴ Expense of DANIEL = 4 ≡ Rs. 8000

(C) ⇒ Income of R = 36000/3 = Rs. 12000

∴ Income of (JULIAN + DANIEL) = RS. 24000

Income of JULIAN + 3/5 income of JULIAN = Rs. 24000

∴ Income of JULIAN = 24000 × 5/8 = Rs. 15000

(B) ⇒ JULIAN’s saving = JULIAN’s (income – expense) = Rs. 3000

Now, (B) + (C) ⇒ JULIAN’s expense = 15000 – 3000 = Rs. 12000

∴ Expense of DANIEL = 1200/6× 4 = Rs. 8000

Hence our answer is ‘**Either B and C together or A alone is sufficient**’. - Question 2 of 10
##### 2. Question

1 pointsMatilda is 6 years older than Sienna. What will be the sum of their present ages?

A. After 6 years the ratio of their ages will be 6 : 5.

B. The ratio of their present ages is 5 : 4.

C. 6 years ago the ratio of their ages was 4 : 3.CorrectLet Sienna’s age = S while Matilda’s age = M

∴ M = S + 6 (1)

(A) (M+6)/(S+6) = 6/5

(B) M/S = 5/4

(C) (M-6)/(S-6) = 4/3

From the above equations we can determine the value of both the unknown i.e. M and S. Hence the option ‘**Any one of A, B and C is sufficient**’ is correct answer.IncorrectLet Sienna’s age = S while Matilda’s age = M

∴ M = S + 6 (1)

(A) (M+6)/(S+6) = 6/5

(B) M/S = 5/4

(C) (M-6)/(S-6) = 4/3

From the above equations we can determine the value of both the unknown i.e. M and S. Hence the option ‘**Any one of A, B and C is sufficient**’ is correct answer. - Question 3 of 10
##### 3. Question

1 pointsWhat will be the average of three numbers?

A. The difference of the first two numbers is 2.

B. The largest no. is greater than the smallest number by 10.

C. The difference of the last two numbers is 8.CorrectWe have, x

^{2}= k ⇒ x = ±√k

x^{2}< k ⇒ – √k< x <√k

and x^{2}> k ⇒ x < – √k or x >√k

(A) ⇒ a^{2}< 61 ⇒ – √61≤ a ≤√61

Since (7^{2}=) 49 < 61 < (8^{2}= )64 and a is an integer so we have, -7 ≤ a ≤ 7.

(B) ⇒ a < 5

(C) ⇒ a2 > 31 ⇒ a < – √31 or a >√31

Since (5^{2}=)25 < 31 < (6^{2}=)36 and a is an integer, so we have a < -5 or a > 5.

Combining all these, we get a = -6, -7.

No single value of ‘a’ is obtained. Hence our answer is ‘**All even together are not sufficient**’.IncorrectWe have, x

^{2}= k ⇒ x = ±√k

x^{2}< k ⇒ – √k< x <√k

and x^{2}> k ⇒ x < – √k or x >√k

(A) ⇒ a^{2}< 61 ⇒ – √61≤ a ≤√61

Since (7^{2}=) 49 < 61 < (8^{2}= )64 and a is an integer so we have, -7 ≤ a ≤ 7.

(B) ⇒ a < 5

(C) ⇒ a2 > 31 ⇒ a < – √31 or a >√31

Since (5^{2}=)25 < 31 < (6^{2}=)36 and a is an integer, so we have a < -5 or a > 5.

Combining all these, we get a = -6, -7.

No single value of ‘a’ is obtained. Hence our answer is ‘**All even together are not sufficient**’. - Question 4 of 10
##### 4. Question

1 pointsIf p and q are integers, is p + q an odd number?

A. p ≤ q

B. 11 < p ≤ 13

C. 12 < q ≤ 14Correct(B)⇒ p = 12, 13

(C)⇒ q =13, 14

(A)⇒ p ≤ q

We see that no combination of statement gives the certain value of p + q.

Even after combining the three statements, we get

p = 12, 13 and q = 13 (q = 14 is not acceptable).

Still when p = 12 then p + q = 12 + 13 = 25, an odd number.

When p = 13 then p + q = 13 + 13 = 26, an even number.

Hence our answer is ‘**All even together are not sufficient**’.Incorrect(B)⇒ p = 12, 13

(C)⇒ q =13, 14

(A)⇒ p ≤ q

We see that no combination of statement gives the certain value of p + q.

Even after combining the three statements, we get

p = 12, 13 and q = 13 (q = 14 is not acceptable).

Still when p = 12 then p + q = 12 + 13 = 25, an odd number.

When p = 13 then p + q = 13 + 13 = 26, an even number.

Hence our answer is ‘**All even together are not sufficient**’. - Question 5 of 10
##### 5. Question

1 pointsA customer is given two successive discounts on an article. To find the second discount, which of the following information’s is/are necessary/sufficient?

A. The cost price of the article.

B. The selling price of the article.

C. The first discount percentage is 75% of the second discount percentage.CorrectSuppose second discount percentage is x%. Then with the help of

(C), first discount % = 3/4 x% = 0.75 x%

Selling price = Cost price (((100 – 0.75 x))/100)(((100-x))/100)

Since SP and CP are given in statements (A) and (B), we can find the value of x. Thus, answer ‘**All the three together are not necessary**’ is correct.IncorrectSuppose second discount percentage is x%. Then with the help of

(C), first discount % = 3/4 x% = 0.75 x%

Selling price = Cost price (((100 – 0.75 x))/100)(((100-x))/100)

Since SP and CP are given in statements (A) and (B), we can find the value of x. Thus, answer ‘**All the three together are not necessary**’ is correct. - Question 6 of 10
##### 6. Question

1 pointsA shopkeeper sold a watch and got Rs. 225 as profit. Find the profit percentage.

A. Selling price of the watch is Rs. 650.

B. He gave 20% discount on the labeled price, which is Rs. 812.50.

C. Cost price of the watch is Rs. 425.Correct(B) ⇒ Selling price = (100 – 20 =) 80% of Rs. 812.50 = Rs. 650

Profit percentage = (Profit/([CP (=SP -Profit)]))×100

As the profit is already given, if either CP or SP is known, profit percentage can be obtained. So, the answer is ‘**Any one of A, B and C is sufficient**’.Incorrect(B) ⇒ Selling price = (100 – 20 =) 80% of Rs. 812.50 = Rs. 650

Profit percentage = (Profit/([CP (=SP -Profit)]))×100

As the profit is already given, if either CP or SP is known, profit percentage can be obtained. So, the answer is ‘**Any one of A, B and C is sufficient**’. - Question 7 of 10
##### 7. Question

1 pointsWhat is the gain or loss percent of Seema who sells two chairs?

A. She sells one chair at 25% loss.

B. She sells the other chair at 25% gain.

C. She has bought her two chairs for Rs. 2760.Correct(C) Gives the cost price of each chair, which is (2760/2) = Rs. 1380 (A) and (B) give the selling price of each chair. Hence, with the help of all the three statements, we can find the profit and hence the % profit. Hence answer ‘

**All together are necessary**’ is correct.Incorrect(C) Gives the cost price of each chair, which is (2760/2) = Rs. 1380 (A) and (B) give the selling price of each chair. Hence, with the help of all the three statements, we can find the profit and hence the % profit. Hence answer ‘

**All together are necessary**’ is correct. - Question 8 of 10
##### 8. Question

1 pointsThe compound interest on a sum of Rs. 4000 is Rs. 1324. Find the rate of interest.

A. The simple interest on the same sum at the same rate is Rs. 1200.

B. Compound interest is compounded every four months.

C. The sum doubles itself in 25 years at the rate of 4% per annum.CorrectC is not an informative statement because it is true in all causes. In order to find out the rate of interest, we need the time for which the sum has been deposited. But this has not been provided either in A or in B. So the correct answer is ‘

**All even together are not sufficient**’.IncorrectC is not an informative statement because it is true in all causes. In order to find out the rate of interest, we need the time for which the sum has been deposited. But this has not been provided either in A or in B. So the correct answer is ‘

**All even together are not sufficient**’. - Question 9 of 10
##### 9. Question

1 pointsA person deposited two amounts to a money lender at 5% simple interest for 3 years and 5 years. Find the two amounts.

A. Difference between the interests is Rs. 600.

B. The two amounts are equal.

C. Had the amounts been deposited at 5% compound interest, the difference would have been Rs. 71194.CorrectAny two statements together are sufficient.

IncorrectAny two statements together are sufficient.

- Question 10 of 10
##### 10. Question

1 pointsTwo friends Sheela and Meena earned profit in a business. Find out their shares.

A. Sheela had invested her capital for 9 months and Meena for years.

B. The ratio of their capitals was 4 : 3.

C. The total profit was Rs. 27500CorrectFrom (A) and (B), we get

Ratio of profit = 9 × 4 : 12 × 3 = 36 : 36 = 1 : 1

Now, with help of (C), shares of each of them = 27500/((1 + 1) )×1 = Rs. 13750

Hence, the correct answer is ‘**All together are necessary**’.IncorrectFrom (A) and (B), we get

Ratio of profit = 9 × 4 : 12 × 3 = 36 : 36 = 1 : 1

Now, with help of (C), shares of each of them = 27500/((1 + 1) )×1 = Rs. 13750

Hence, the correct answer is ‘**All together are necessary**’.