Must Do Quant for SBI PO/Clerk 2018: 15 May

1. The present age of B is 33.33% more than the average age of A after 2 years. The ratio of the age of A after 3 years and the age of B 2 years before is 11 : 12. What will be the ratio of the age of A after 5 years to the age of B 3 years before?

1) 2 : 1

2) 1 : 2

3) 3 : 1

4) 1 : 1

5) None of these

2. The ratio of length to the breadth of a rectangular plot is 9 : 8. The perimeter of the plot is 408 metres. What is the area of the plot?

1) 7772 m²

2) 19434 m²

3) 21742 m²

4) 10368 m²

5) None of these

3. A certain company employed 299 women and 253 men and the average wage was Rs. 30.25 per day. If a man got Rs. 6 more than a woman, then what is the daily wage of a man?

1) Rs. 33.5

2) Rs. 33.25

3) Rs. 32.75

4) Rs. 34.25

5) None of these

4. The weight of a container alone is 16.66% of what the container weighs when filled with a certain liquid. When some liquid is removed the weight of the container and the remaining liquid is 33.33% of the earlier weight. What fractional part of the liquid has been removed?

1) ¹/₃

2)  ¹/₂

3) ²/₃

4) ³/₄

5) None of these

5. A man bought goods worth Rs. 4096 and sold one-sixth of them at 12%, one-third of them at 9% and one-fourth of them at 10% profit. Then at what loss per cent must he sell the remaining goods so as to get no profit and no loss on the whole transaction?

1) 30%

2) 28%

3) 27.6%

4) 29.6%

5) None of these

Directions (Q. 6-8): Each of the questions given below consists of a question and two statements (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer

1) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not
sufficient to answer the question.

2) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not
sufficient to answer the question.

3) if the data either in statement I alone or in statement II alone are sufficient to answer the question.

4) if the data even in both statements I and II together are not sufficient to answer the question.

5) if the data in both statements I and II together are necessary to answer the question.

6. Is the sum of the costs of a laptop and a music system more than the sum of the costs of a smart phone and a tablet?

I. 35% of the cost of a laptop and 25% of the cost of a music system is more than 45% of the cost of a smart phone and 65% of the cost of a tablet.

II. 25% of the cost of a laptop and 35% of the cost of a music system is less than 15% of the cost of a smart phone and
20% of the cost of a tablet.

7. For a company X, were the profits in year 2010 more than those in year 2011?

I. The company’s sales in year 2011 were greater than the sales in year 2010.

II. Profits in 2011 were 1.35 times the average profit in year 2010 and 2011 together.

8. A car can be purchased on a down payment plus fifty (interest-free) instalments. What is the approximate price of a car?

I. Each instalment is Rs. 15892

II. Down payment is 37% of the total price of the car.

Directions (Q. 9-14): What value should come in the place of question mark (?) in the following number series.

9.   1260,   1169,    1088,   1017,   956,   ?

1) 905

2) 895

3) 885

4) 875

5) 865

10.   516,   738,   1182,   1848,   2736,   ?

1) 3412

2) 3522

3) 3686

4) 3734

5) 3846

11.   8,   73,   418,   1717,   4846,   ?

1) 8624

2) 8947

3) 9136

4) 9308

5) 9996

12.   2476,    2279,   2090,    1909,   1736,   ?

1) 1627

2) 1571

3) 1472

4) 1540

5) 1432

13.    5,   35,    76,    253,    488,   911,   ?

1) 1210

2) 1325

3) 1460

4) 1575

5) 1680

Answers:

1. 4
2. 4
3. 1
4. 5
5. 1
6. 3
7. 2
8. 5
9. 1;   –91, –81, –71, –61, –51, …
10. 5; +222, +444, +666, +888, +1110…
11. 2;  +8² + 1, +7³ + 2, +6⁴ + 3, 5⁵ + 4, +4⁶ + 5…
12. 2; (49)² + 75, (47)² + 70, (45)² + 65, (43)² + 60, (41)² + 55, (39)² + 50
13.  3; (5 × 2²) + 15 = 35,  (10 × 3²) – 14 = 76,   (15 × 4²) + 13 = 253,   (20 × 5²) – 12 = 488,  (25 × 6²) + 11 = 911,  (30 + 7²) – 10 = 1460