1.      What is the volume of the cylindrical tank ?
Statement I: Diameter of the base is equal to the height of the tank.
Statement II: Height of the tank is 20 m.
Statement III: Area of the base is 320 sq. m.
A) Only I and III.
B) Only I
C) Only III
D) Any of the two
E) None of these


2.      What is the selling price of the camera if no discount is offered ?
Statement I: Cost price of the camera is Rs.10,000.
Statement II: Profit earned was  20%.
Statement III: Had 20% discount been offered on selling price  the profit would have been Rs. 700.
A) Only III
B) Only II and III
C) Only I and II
D) All of these
E) Any two of these

3.      How many students failed in class 6 ?
Statement I: 400 students passed in class .
Statement II: Number of students failed in class 6 is 10% of those of failed in class 7?
Statement III: 75% of the students who appeared in examination have passed either in class 8.
A) Only II and III
B) Only I and II
C) Only III
D) None of these
E) All of these

4.      What is the rate of interest p.c.p.a?
Statement I: Simple Interest accrued in two years on the same amount at the same rate of interest is Rs. 44,000.
Statement II: The amount becomes Rs. 15,400 in two years on simple interest .
Statement III: Difference between the compound  interest and simple interest earned in two years on the amount invested is Rs. 120.
A)  Only I and II
B) Only II and III
C) Only II
D) Only I and III
E) All of the above
5.      Two persons P and Q . P bought some copies and some books from a shopkeeper .The shopkeeper charged extra Rs.15 ,though he was getting a  profit of Rs. 60/copy and Rs 350/book . For what price did P and Q sell the book if they both earned a profit of 50%?
Statement I: The selling price of 4 copies and 2 books was Rs. 600.
Statement II: P and Q sold equal number of copies and books .
Statement III: They invested a total amount of Rs.10,000  on copies and Rs .15,000 on books.
A) Only II
B) None of the above
C) Only II and III
D) Only I and II
E) All of these


6.      In how many days will Mohit alone complete the work?
Statement I: Soham alone can do the work in 20 days .Mohit is 10% more efficient than Soham  and Rita . 30% of work is done by Mohit ?
Statement II: Soham and Mohit together can finish the work in 8(2/11) days , Mohit and Rita in 7(1/5) days and, Rita and  Soham  can do the same work in 6(2/3) days .
A) Only II
B) Both I and II
C) Either  I or II
D) Neither I nor II
E) Only I


7.      What is the population of city X ?
Statement I: The population of city X is 80% of that of city Y .The difference of population of city X and city Y is 312500.
Statement II: The ratio of the population of males and females in city X is 27 : 23 and the difference between their population is 1,00,000.
A) Only II
B) Either I or II
C) Only II
D) Both I and II
E) None of the above


8.      Raman mixed two types of wheat  for selling the mixture in his shop .What is the quantity (in kg) of the first type wheat in the mixture ?
Statement I: The price of the second type of wheat is Rs. 50/kg . The difference between the quantity of first type of wheat and second type of wheat in the mixture is 3 kg.
Statement II: The price of the first type of wheat is Rs. 47 /kg. Raman earned a profit of 20% by selling the mixture at the rate of Rs. 57.60 /kg.
A) Neither I nor II
B) Either I or II
C) Both I and II
D) Only I
E) Only II

9.      What is the monthly salary of Himesh ?
Statement I: The salary of Himesh increased by 33(1/3) % two years ago and 25 % a year ago. The difference in increase was Rs. 32000/3.
Statement II: Himesh spends 18% of his salary on grocery and 14 % of it on sports. 14% of total salary is spent on transportation and entertainment . (3/10)th part of the total salary is spent on house rent and thereafter he saves Rs. 32000.
A) Only I
B) Either I and II
C) Neither I nor II
D) Both I and II
E) Only II


10.   How many students are there in the class?
Statement I: If two students weighing 44 kg and 52 kg leave the class and are replaced by two students weighing 64 kg and 56 kg .The average weight of the class increases by 1.2 kg .
Statement II: The average weight of the class is Rs. 52 kg.
A) Only II
B) Either I or II
C) Neither I nor II
D) Both I and II
E) Only I

11. Triangle ABC has angle BAC equal to 90°. What is the measure of the angle ABC? 
A. The angle ACB is 35°.
B. The angle CBA is 55°.

12. X, Y and Z are three consecutive even numbers (not necessarily in this order). What is the sum of these numbers? 
A. The difference between X and Z is 4. 
B. One-third of Y is 14. 

13. What is the salary of P, in a group of P, Q, R, S, T and U, whose average salary is Rs. 35,000? 
A. Total of the salary of Q and S is Rs. 54000. 
B. Total of the salary of T and U is Rs. 58000. 

14. What is the rate p.c.p.a. on an amount of Rs. 6,000 deposited in a Bank? 
A. The simple interest for four years is Rs. 3600. 
B. The difference between the simple interest and compound interest is Rs. 894.0375. 

15. What is the number? 
A. 20% of that number is one fifth of that number. 
B. 5/6th of that number is less than that number by 15.


16. What is the area of the hall? 
I. Material cost of flooring per sq metre is Rs. 250
II. labour cost of flooring the hall is Rs. 3,500
III. Total cost of flooring the hall is Rs. 14,500 
(a) I and II only 
(b) II and III only 
(c) All I, II and III 
(d) Any two of the three 
(e) None of these 

17. What was the percentage of discount offered?
I. Profit earned by selling the article for Rs. 252 after giving discount was Rs. 52. 
II. Had there been no discount the profit earned would have been Rs. 80
III. Had there been no discount the profit earned would have been 40%. 
(a) I and II only 
(b) II and either I or III only 
(c) I and III only 
(d) I and either II or III only 
(e) None of these 

18. What is the speed of the train?
I. The train crosses a signal pole in 13 sec. 
II. The train crosses a platform of length 250 m in 27 seconds. 
III. The train crosses another train running in the same direction in 32 seconds. 
(a) I and II only 
(b) I and III only 
(c) II and III only 
(d) Any two of the three 
(e) None of these 

19. What is the population of State ‘A’?
I. After increasing the population of State A by 15% it becomes 1.61 lakhs 
II. Ratio of population of State A to that of State B is 7 : 8 respectively
III. Population of State B is 1.6 lakhs 
(a) I only 
(b) II and III only 
(c) I and II only 
(d) Either only I or II and III 
(e) All I, II and III 

20. How many workers are required for completing the construction work in 10 days?
I. 20% of the work can be completed by 8 workers in 8 days 
II. 20 workers can complete the work in 16 days
III. One eighth of the work can be completed by 8 workers in 5 days 
(a) I and II only 
(b) II and III only 
(c) I only 
(d) III only 
(e) Any one of three

21. X, Y and Z secured 45%, 50% and 60% marks respectively in Biology. W’s marks in Biology is 12.5 more than X’s marks and 4 less than Z’s marks. Find out the individual marks of four students.   
A. For the students total marks obtained for Biology is 311.5.
B. Total of W’s and X’s marks in Biology is 147.5.
C. Z has obtained 84 marks. 
(a) A and B together
(b) Only C
(c) A and either B or C
(d) All together
(e) None of the above





22. At what time will a train reach Lucknow from Patna?                
A. The train crosses another train of equal length of 97.5 m and running in opposite direction in 9  sec.
B. The train leaves Patna at 11:15 am for Lucknow, which is at a distance of 567 km.
C. The 97.50-m-long train crosses a signal pole in 5 sec. 
(a) Only A
(b) B and C together
(c) A and C together
(d) All statements are required
(e) Only B

23. Find the height of an equilateral triangle.                         
A. Perimeter of the triangle is equal to the perimeter of the rectangle whose length and breadth are in the ratio of  5 :3.
B. Perimeter of a square is known, which is twice the perimeter of the triangle.
C. Area of the triangle is known.
(a) Any two of them
(b) Any of them
(c) Only C
(d) Either B or C alone
(e) A and either B or C

24. What is the value of a two–digit number?
A. The sum of the digits is 5. 
B. The difference of the squares of the digits is 15. 
C. The difference of their digits is 3. 
(a) A and B together are sufficient 
(b) B and C together are sufficient
(c) C and A together are sufficient
(d) Any one pair of A and B, B and C or C and A is sufficient
(e) Data inadequate  

25. A boat takes 2 hours to travel from point A to B in still water. To find out its speed upstream, which of the following information is/are required?
A. Distance between point A and B.
B. Time taken to travel downstream from B to A.
C. Speed of the stream of water. 
(a) All are required 
(b) Any one pair of A and B, B and C or C and A is sufficient.
(c) Only A and B
(d) Only A and C
(e)None of these

26. A boat takes a total time of three hours to travel downstream from P and Q and upstream back from Q to P. What is the speed of the boat in still water?

       A.      The speed of the river current is 1 km per hour
       B.      The distance between P and Q is 4 km.

(a)    I alone sufficient while II alone not sufficient to answer
(b)    II alone sufficient while I alone not sufficient to answer
(c)     Either I or II alone sufficient to answer
(d)    Both I and II are not sufficient to answer
(e)    Both I and II are necessary to answer


27. What is the speed of the boat in still water?
  
  I.        It takes 2 hours to cover the distance between A and B downstream.
   II.        It takes 4 hours to cover the distance between A and B upstream.

       (a)   I alone sufficient while II alone not sufficient to answer
       (b)   II alone sufficient while I alone not sufficient to answer
       (c)   Either I or II alone sufficient to answer
       (d)   Both I and II are not sufficient to answer
       (e)   Both I and II are necessary to answer



28.What is the speed of the boat in still water?

                     I.        The boat covers a distance of 48 kms in 6 hours while running upstream.
                    II.        The boat covers the same distance in 4 hours while running downstream.

     (a)   I alone sufficient while II alone not sufficient to answer
     (b)   II alone sufficient while I alone not sufficient to answer
     (c)   Either I or II alone sufficient to answer
     (d)   Both I and II are not sufficient to answer
     (e)   Both I and II are necessary to answer







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