SBI PO Exam – Solved Model Question Quantitative Aptitude Paper 8

1. What percentage of numbers from 1 to 70 have 1 or 9 in the unit?s digit?
a) 1
b) 14
c) 20
d) 21
e) None of these

2. (935421 × 625) = ?
a) 575648125
b) 584638125
c) 584649125
d) 585628125
e) None of these

3. Reena took a loan of Rs.1200 with simple interest for as many years as the rate of interest. If she paid Rs.432 as interest at the end of the loan period, what was the rate of interest?
a) 3.6
b) 6
c) 18
d) Data inadequate
e) None of these

4. A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water at ther ate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
a) 7580
b) 7960
c) 8290
d) 8640
e) None of these

5. In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs.20 per kg respectively so as to get a mixture worth Rs.16.50 kg?
a) 3 : 7
b) 5 : 7
c) 7 : 3
d) 7 : 5
e) None of these

6. What was the day of the week on 28th May 2006?
a) Thursday
b) Friday
c) Saturday
d) Sunday
e) None of these

7. A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is
a) 2.5 km/hr
b) 4.2 km/hr
c) 5 km/hr
d) 10.5 km/hr
e) None of these

8. If the sum of the interior angles of a regular polygon measures upto 1440 degrees, how many sides does the polygon have?
a) 10 sides
b) 8 sides
c) 12 sides
d) 9 sides
e) None of these

9. Number of solutions of the equation tan x + sec x = 2 cos x, lying in the interval [0, 2?] is
a) 0
b) 1
c) 2
d) 3
e) None of these

10. A alone can do a piece of work in 6 days and B alone 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
a) Rs.375
b) Rs.400
c) Rs.600
d) Rs.800
e) None of these

11. A train travels at an average of 50 miles per hour for 2×1/2 hours and then travels at a speed of 70 miles per hour for 1×1/2 hours. How far the train did travels in the entire 4 hours?
a) 120 miles
b) 150 miles
c) 200 miles
d) 230 miles
e) None of these

12. A shopkeeper give 12% additional discount on the discounted price, after giving an initial discount of 20% on the labeled price of a radio. If the final sale price of the radio is Rs.704, then what is its labeled price?
a) Rs.844.80
b) Rs.929.28
c) Rs.1000
d) Rs.1044.80
e) None of these

13. A person was asked to state his age in years. His reply was, ?Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.? What was the age of the person?
a) 14 years
b) 18 years
c) 20 years
d) 32 years
e) None of these

14. In how many ways can the letters of the word ‘LEADER’ be arranged?
a) 72
b) 144
c) 360
d) 72
e) None of these

15. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remained in each case.
a) 4
b) 7
c) 9
d) 13
e) None of these

16. The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
a) 76Kg
b) 76.5Kg
c) 85Kg
d) Data inadequate
e) None of these

17. In Arum?s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arum and he thinks that Arum?s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arum?
a) 67 kg
b) 68 kg
c) 69 Kg.
d) Data inadequate
e) None of these

18. Product of two co-prime numbers is 117. Their LCM should be
a) 1
b) 117
c) equal to their H.C.F.
d) Cannot be calculated
e) None of these

19. A starts a business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B?s contribution in the capital?
a) Rs.7500
b) Rs.8000
c) Rs.8500
d) Rs.9000
e) None of these

20. In how many different ways can the letters of the word ‘DETAIL’ be arranged in such a way that the vowels occupy only the odd positions?
a) 32
b) 48
c) 36
d) 60
e) None of these

21. Two dice are tossed. The probability that the total score is a prime number is:
a) 1/6
b) 5/12
c) 1/2
d) 7/9
e) None of these

22. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
a) 4 years
b) 8 years
c) 10 years
d) 12 years
e) None of these

23. A shopkeeper professes to sell his goods at cost price but uses a weight of 800 gm instead of kilogram weight. Thus, he make a profit of
a) 20%
b) 22%
c) 25%
d) Data inadequate
e) None of these

24. The number of common terms to the two sequences 17, 21, 25 ?. 417 and 16, 21, 26 ?. 466 is :
a) 19
b) 20
c) 21
d) 84
e) None of these

25. ?50 × ?98 is equal to
a) 63.75
b) 65.95
c) 70
d) 70.25
e) None of these
SBI Aptitude-English
SBI PO Preliminary Exam Model Paper

English Language

Directions (Qs. 1-10): Read the following passage carefully and answer the questions given after the passage. Certain words/phrases have been printed in bold to help you locate them while answering some of the questions.

India is rushing headlong towards economic success and modernization, counting on high-tech industries such as information technology and biotechnology to propel the nation to prosperity. India’s recent announcement that it would no longer produce unlicensed inexpensive generic pharmaceuticals bowed to the realities of the World Trade Organisation while at the same time challenging the domestic drug industry to compete with the multinational firms. Unfortunately, its weak higher education sector constitutes the Achilles heel of this strategy. Its systematic disinvestment in higher education in recent years has yielded neither world-class research nor very many highly trained scholars, scientists nor manager to sustain high – tech development.

India?s main competitors especially China but also Singapore, Taiwan and South Korea are investing in large and differentiated higher education system. They are providing access to large numbers of students at the bottom of the academic system while at the same time building some research – based universities that are able to compete with the world?s best institutions. The recent London Times Higher Education Supplement ranking of the world?s top 200 universities included three in China, three in Hong Kong, three in South Korea, one in Taiwan and one in India. These countries are positioning themselves in the knowledge based economies of the coming era.

There was a time when countries could achieve economic success with cheap labour and low – tech manufacturing. Low wages still help, but contemporary large – scale development requires a ophisticated and at least partly knowledge based economy. India has chosen that path but will find a major stumbling block in its university system. India has significant advantage in the 21st century knowledge race. It?s education sector is the third largest in the world in student numbers after China and the United States. It uses English as the primary language of higher education and research. It has a long academic tradition. Academic freedom is respected. There are a small number of high quality institutions, departments and centres that can form the basis of quality in higher education. The fact that the States, rather than the Central Government, exercise major responsibility for higher education creates a rather cumbersome structure, but the system allows for a variety of policies and approaches.

Yet the weaknesses for outweigh the strengths. India educates approximately 10 per cent of its young people in higher education compared with more than half in the major industrialized countries and 15 per cent in China. Almost all of the world?s academic systems resemble a pyramid, with a small high quality tier at the top and a massive sector at the bottom. India has a tiny top tier. None of its universities occupy a solid position at the top. A few of the best universities have some excellent departments and centres and there are a small number of outstanding undergraduate colleges. The University Grants Commission’s recent major support of five universities to build on their recognised strength is a step forward, recognizing a differentiated academic system and fostering excellence. These universities, combined, enroll well under 1 percent of the student population.