Directions (1-5): In the following questions three equations numbered I, II and III are given. You have to solve all the equations either together or separately, or two together and one separately, or by any other method and
Give answer If
(a) x < y = z
(b) x < y < z
(c) x < y > z
(d) x = y > z
(e) x = y = z or if none of the above relationship is established
Q1. I. 7x + 6y + 4z = 122
II. 4x + 5y + 3z = 88
III.9x + 2y + z = 78
Q2. I. 7x + 6y = 110
II. 4x + 3y = 59
III. x + z = 15
Q3. I.
III.6y + 5z = 71
Q4. I. 8x + 7y = 135
II. 5x + 6y = 99
III. 9y + 8z = 121
Q5. I. (x + y)3 = 1331
II. x - y + z = 0
III. xy = 28
Directions (6-10): In each of these questions, a question is given followed by information in three statements. You have to find out the data in which statement (s) is sufficient to answer the question and mark your answer accordingly.
Q6. What is the area of the right angled triangle?
I. Base of the triangle is X cm.
II. Height of the triangle is Y cm.
III. Hypotenuse of the triangle is Z cm.
(a) Both I and II
(b) Only II
(c) Both II and III
(d) Any two of three
(e) None of these
Q7. What is the rate of interest p.c.p.a.?
I. An amount doubles itself at simple interest in 10 yr.
II. Difference between the compound interest and simple interest on an amount of Rs. 15000 in 2 yr is Rs. 150.
III. The compound interest accrued in 8 yr is more than the amount (principal).
(a) Only I
(b) Only II
(c) Both II and III
(d) Both I and III
(e) Only either I or II
Q8. What are the marks scored by Abhijit in English?
I. Marks scored by Abhijit in Maths are more than his marks in Science by 20.
II. Total marks scored by Abhijit in Maths, Science and English are 198.
III. Marks scored by Abhijit in Science are more than his marks in English by 12.
(a) Any two of the three
(b) Both II and III
(c) All I, II and III
(d) Question cannot be answered even with the information in all the three statements
(e) None of the above
Q9. How many students secured atleast 60% marks in Mathematics in a class of 240 students?
I. 20% of the students in the class secured 80% and above marks in Mathematics.
II. 80 students have secured more than 50% but less than 60% marks in Mathematics.
III. The number of students who secured marks between 60 and 79% was equal to the number of students who secured less than 50% marks in Mathematics.
(a) All I, II and III are necessary to answer to question.
(b) Both I and III are sufficient
(c) Both II and III are sufficient
(d) Both I and II are sufficient
(e) The question cannot us answered even with all I, II and III
Q10. In an institute employing managers, observers and assistants, what is the monthly salary of an assistant?
I. Each observer gets Rs. 12000 per month more than an assistant.
II. An observer and an assistant, together get Rs. 32000 per month.
III. The total salary per month of a manager and an observer is Rs. 57000.
(a) Either I or II and III are sufficient
(b) Both I and II are sufficient.
(c) Any two of I, II and III are sufficient
(d) All I, II and III are necessary to answer the question.
(e) The question cannot be answered even with all I, II and III
Directions (11-15): In these questions, a number series is given. In each series only one number is wrong. Find out the wrong number?
Q11. 72.5 86 113 168 275 491 923
(a) 86
(b) 113
(c) 168
(d) 275
(e) 491
Q12. 484 240 120 57 26.5 11.25 3.625
(a) 240
(b) 120
(c) 57
(d) 26.5
(e) 11.25
Q13. 6 7 16 41 90 154 292
(a) 7
(b) 16
(c) 41
(d) 90
(e) 154
Q14. 8 12 24 46 72 108 216
(a) 12
(b) 24
(c) 46
(d) 72
(e) None of these
Q15. 2 9 32 105 436 2195 13182
(a) 436
(b) 2195
(c) 9
(d) 32
(e) None of these
Answer :-
1) a
2) c
3) e
4) d
5) e
6) d
7) e
8) c
9) e
10) b
11) c
12) b
13) e
14) c
15) d
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Kindly provide solutions, that would be added benefit.
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