Monday 12 December 2016

QUANTITATIVE  APTITUDE FOR BANK & OTHER COMPETITIVE EXAMINATION




Q1. The expenses of a hotel consist of two parts. One part varies with the number of inmates while the other is constant. When the number of inmates is 200 and 250, the expenses are respectively Rs. 1300 and Rs. 1600. Then, the expenses for 300 inmates are:  (a) Rs. 1800
(b) Rs. 1900
(c) Rs. 2000
(d) Rs. 2100
(e) None of these


Q2. A student bought 4 books for Rs. 120 from one books shop and 6 books for Rs. 150 from another. The average price (in rupees), he paid per book was:   
(a) 27
(b) 27.50
(c) 135
(d) 138
(e) None of these

Q3. The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of the correct one of 87 kg. The correct average weight is:  
(a) 88.95 kg
(b) 89.25 kg 
(c) 89.55 kg 
(d) 89.85 kg 
(e) None of these

Q4. A starts business with a capital of 2400. B and C joins with some investment after 6 months and 3 months respectively. If at the end of the year they earn profit of 4 : 5 : 3 respectively. What is C’s investment in the Business?   
(a) 6000
(b) 7000
(c) 8000
(d) 7200
(e) None of these 

Q5. Aditya, Rahul and Ravi rented a house for a year. Aditya stayed for 4 months only. Rahul left after 8 months. Ravi stayed there for entire year. Find the share of rent of Rahul if total rent was Rs 9000 a year.  
(a) 3000
(b) 2000
(c) 1000
(d) 500
(e) None of these 

Directions (6-10): In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provide in the statements are sufficient to answer the question. Read both the statements and give answer.
(a) 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  
(b) 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
(c) If the data either in statement I alone or in statement II alone are sufficient to answer the question 
(d) If the data given in both statement I and II together are not sufficient to answer the question and 
(e) If the data in both statements I and II together are necessary to answer the question 
  
Q6. By selling a product with 20% profit. How much profit was earned? 
(i) The difference between CP and SP was Rs 80 
(ii) The SP is 120% of CP

Q7. How much profit did Abhinav made by selling a TV
(i) He bought the TV on 30% discount on Market Price 
(ii) He sold it on 30% profit on Marked Price  

Q8. How much was loss 
(i) The CP was 1000
(ii) The loss was 30% of CP

Q9. What percent of profit was earned when selling the product 
(i) The profit earned was Rs 100
(ii) Had it been sold for Rs 155 the profit would have Rs 35  
                                                                                                                         
Q10. What is the price of an Apple 
(i) A man can buy 14 apple and 35 banana for Rs 84 

(ii) With 50% discount on price of Apple, Rs 12 would buy 4 Apple and 5 Banana

Directions (11-15): Study the graph and answer the following questions.
Power Supply Position in India (in billion KWH)


Q11. What was the percentage increase in supply of power between 1980-81 and 1984-85?  
(a) 56%
(b) 145%
(c) 43%
(d) 85%
(e) None of these 

Q12. The cumulative shortfall between requirement and supply from 1980 to the end of 1985 was (in billion)  
(a) 56
(b) 85
(c) 45
(d) 76
(e) None of these 

Q13. The requirement of power in 1984-85 was how many times the availability of supply in 1978-79? 
(a) 2.6
(b) 1.75
(c) 2.75
(d) 2.0
(e) None of these 

Q14. The percentage of growth in power requirement from 1979-80 to 1984-85 was less than the percentage of growth in power requirement from 1974-75 to 1979-80 by what figure?  
(a) 3
(b) 4
(c) 15
(d) 7
(e) None of these 

Q15. Between 1979-80 and 1983-84, the power generation has generally logged behind power demand by how many years?  
(a) 1
(b) 2
(c) 3
(d) 4
(e) None of these
S2. Ans.(a) 
Sol. Cost of 10 books = Rs.(120 + 150) = Rs. 270 
Average cost = Rs. 270/10 = Rs. 27

S3. Ans.(d)
Sol. Total actual weight = (89.4 × 20 - 78 + 87) kg 
= 1797 kg.
∴ Correct average weight =1797/20 = 89.85 kg 

S4. Ans.(d)
Sol. 2400 × 12 : x × 6 : y × 3 = 4 : 5 : 3
Now 2400 × 12 = 4 in ratio 
So 7200 is 1 in ratio 
So, (x × 6)/5=7200 
x = 6000
So C share is 7200 
(y × 3)/3=7200 
y = 7200

S5. Ans.(a)
Sol. Rate of rent divide between them in the ratio of 4 : 8 : 12. So Rahul share is 8/24×9000=3000 

S6. Ans.(a)
Sol. We can find only from I 


S7. Ans.(d) 
Sol. We can’t find answer even I and II together 

S8. Ans.(e)
Sol. Both I and II required 

S9. Ans.(b)
Sol. We can find only with 2nd 

S10. Ans.(d)
Sol. We cannot find even with equation I and II  
S11. Ans.(c)
Sol. In 1980-81 is 105 while in 84-85 is 151. 
So percentage increases is ((151-105)/105)×100=(46/105)×100=43% 

S12. Ans.(d)
Sol. Total requirement = 120 + 129 + 137 + 145 + 170 = 701
Total supply = 105 + 115 + 124 + 130 + 151 = 625 
Difference = 701 - 625 = 76 

S13. Ans.(b)
Sol. 170 = 97 × x 
So, x=170/97=1.75   

S14. Ans.(d)
Sol. % Growth =(170-118)/118×100=44% 
In 1974-75 to 1979-80 growth =(118-78)/78=40/78×100=51% 
So, more = 51 - 44 = 7% 

S15. Ans.(c)
Sol. In 1979-80 demand was 118 which completed in 82-83 means 3 years. 

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