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MAH MCA CET
Question Paper - 2022
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This question paper has been compiled on the basis of memory
based questions recall. We have tried to provide as many
questions-answers as we could possibly collect. Hope this helps
you in your preparation.
Section 1
COMPUTER
Q1. What will be the output of the following programs?
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Int main()
{
int a = 3, b = 5;
int t = a;
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a=b;
b=t;
printf(“%d %d ,a, b);
}
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1. 3, 3
2. 3, 5
3. 5, 5
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4. 5, 3
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Q2. Stack is a
1. Last in first out
2. First in last out
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3. Both a and b
4. none
Q3. Postfix expression of ((A - (B+C)) * D) $(E+F) is
1. ABC+D*EF+$
2. ABC+D-*EF+$
3. ABC+-DE*F+$
4. ABC+-D*EF$+
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Q4. ASCII stands for
1. American Standard Code for Information Interchange
2. All purpose scientific Code for Information Interchange
3. American Security Code for Information Interchange
4. None of the above
Q5. In C random access is achieved by using
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1. fseek (*fptr, offset, from_where)
2. fseek (fptr, offset, from_where)
3. fseek (*fptr,, from_where)
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4. All
Q6. In a doubly linked list minimum number of fields in each node are
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1. 4
2. 3
3. 2
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4. 5
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Q7. Nonlinear data structure is
1. Linked list
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2. Binary tree
3. stack
4. queue
Q8. 8 Binary tree of order n contains at least _____ keys
1. (n-1)/2
2
2. 𝑛
3. (n-3)/2
4. none
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Q9. The time taken for the desired sector to rotate to the disk head is called
1. Positioning time
2. Random access time
3. Seek time
4. Rotational latency
Q10. If the resource allocation graph contains no cycles then
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1. none
2. No deadlock
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3. deadlock
4. May or may not be deadlock
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Q11. Which of the following is not a valid identifier
1. average
2. none
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3. 8_name
4. _Tot
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Q12. Banker’s algorithm to avoid deadlock, matrix can be updated in process by
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1. available := available +request
2. available := available -request
3. available := allocated +request
4. none
Q13. In C, the NULL statement which does nothing is just
1. ,
2. ;
3. :
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4. .
Q14. Flip flop stores
1. 1 bit information
2. 2 bit information
3. 3 bit information
4. 4 bit information
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Q15. For a deadlock to arise, which of the following conditions must hold simultaneously?
1. Mutual exclusion
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2. No preemption
3. Hold and wait
4. All of the mentioned
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Q16. Banker’s algorithm is used for
1. To rectify deadlock
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2. To detect deadlock
3. To prevent deadlock
4. To solve deadlock
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Q17. The first computers were programmed using _____
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1. Assembly language
2. Machine language
3. Source code
4. Object code
Q18. Grouping and processing all of a forms transaction at one time is called
1. Batch processing
2. A database management system
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3. All of these
4. None of these
Q19. Device drivers are
1. Tine power cords for external storage devices
2. Experts who know to maximize the performance of device
3. Small, special purpose programs
4. The innermost part of the operating system
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Q20. The main purpose of a database management program is to
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1. Used to store, retrieve, and run queries on data a database management system
2. Used to remove queries on data a database management system
3. All of these
4. None of these
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Q21. How does a “smart” terminal differ from a dumb terminal?
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1. It has primary memory
2. A dumb terminal is simply an output device that accepts data from the CPU. In contrast, a smart
terminal is a monitor that has its own processor for special features, such as bold and blinking
characters.
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3. Both 1 and 2
4. None of the above
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Q22. The piece of hardware that converts your computer digital signal to an analog signal that can
travel over telephone lines is called a
1. Modem
2. Tower
3. Red wire
4. Blue card
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Q23. A goal of normalization is to ______
1. Minimize the number of relationships
2. Minimize the number of entities
3. Minimize the number of tables
4. Minimize the number of redundancy
Q24. An operating system that can do multitasking means that
1. The OS can divide up work between several CPUs.
2. Several programs can be operated concurrently.
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3. Multiple people can use the computer concurrently.
4. All of the above
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Correct Answer : b
Q25. In a sequence of events that takes place in an instruction cycle, the first cycle is
1. Execute cycle
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2. Decode cycle
3. Fetch cycle
4. Restore cycle
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Q26. A central computer that holds collections of data and programs for many PCs, workstations,
and other computers is a
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1. Supercomputers
2. Mini computers
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3. Server
4. Laptop
Q27. The simultaneous processing of two or more programs by multiple processor is _______
1. multiprogramming
2. multitasking
3. time-sharing
4. multiprocessing
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Q28. Computer uses the _____ number system to store data & perform calculations
1. Decimal
2. Hexadecimal
3. Octal
4. Binary
Q29. Arithmetic operations are ____
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1. Addition (+)
2. Subtraction (-)
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3. Multiplication (x)
4. All of the above
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Q30. With which tools any part of documents can be seen on the screen?
1. Editing
2. Searching
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3. Pasting
4. Scrolling
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Q31. What is a relational database?
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1. Attributes
2. tables
3. records
4. fields
Q32. A ____ is the unique name that you give to a file of information.
1. Device letter
2. Folder
3. Filename
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4. Filename extension
Q33. Virtual memory is _____
1. RAM
2. Only necessary if you do not have any RAM in your computer
3. A back up device for floppy disks
4. Memory on the hard disk that the CPU uses as an extended RAM
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Q34. System software is the set of programs that enables your computer's hardware devices and
____ software to work together.
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1. Management
2. Utility
3. Processing
4. Application
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Section 2
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Mathematics
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Q. 1 The solution of Differential equation
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1.
2.
3.
4.
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Q2. If the price of sugar is increased by 5 % by what percentage a person should reduce his sugar
consumption?
1. 405/205
2. 505/105
3. 450/105
4. 500/105
2
Q3. Area of trapezium is 480 𝑐𝑚 . Distance between 2 parallel sides is 15, one side is 20 cm , the
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other side is:
1. 40 cm
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2. 44 cm
3. 43 cm
4. 42 cm
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Q4. In two APs the common difference is 0, sum of the consecutive 3 terms is 15, P and Q are
products of the terms such that P/Q = ⅞ then terms which satisfy these conditions are
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1. 7,5,3 and 6,5,4
2. -5,5,15, abd -6,5,16
3. 3,5,7 and 4,5,6
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4. none
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Q5. Probability of a non swimmer is ⅕. Probability of out of 5 students , four are swimmer is
4
1. (4/5) 1/5
4
2. (4/5) 1/5
4
3. (4/5) 1/5
4. (4/5)
𝑛
Q6. Binomial Expansion of (𝑎 − 𝑏) * n⩽5, sum of 5th and 6th term is 0, then what is value of a/b ?
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1. (n-5)/6
2. (n-4)/5
3. 5/(n-4)
4. 6/(n-5)
2 2
Q7. The least value of 2𝑠𝑖𝑛 θ + 3𝑐𝑜𝑠 θ is
1. 3
2. 1
m
3. 2
4. none
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Q8. Three persons X, Y and Z invested an amount of 380, 400 and 420. Divide profit of Rs 180
among them
1. 60, 57, 63
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2. 57, 60, 63
3. 63, 57, 60
4. none
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Q9. Which is an even number?
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1. 22563
2. 12479
3. 45678
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4. 34233
Q10. Points A(2a, 4a), B(2a, 6a) and C(2a + 3, 5a0, a>0 are vertices of
1. Isosceles triangle
2. Right angled triangle
3. Equilateral triangle
4. none
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Q11. A and B participated in a race. A covers 200m distance in 22sec and B covers it in 25 sec.
How far is B when A has crossed the finishing line?
1. 8m
2. 12m
3. 24m
4. 16m
Q12.
m
1. 2
2. -2
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3. 2
4. 3
m
Q13. A function f: ([ 0,∞)→ [ 0,∞) and f(x)=x/(x+1) is
1. Neither one-one nor onto
2. Onto but not one-one
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3. One-one and onto
4. One-one but not onto
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Q14. A cuboid has dimensions 80 x 30 x 40, a color paper has to be put onto the back, both sides
and front side. What will be the area of the paper required?
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2
1. 6000𝑐𝑚
2
2. 8000𝑐𝑚
2
3. 8800𝑐𝑚
2
4. 600𝑐𝑚
Q15. , then are in
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1. AP
2. GP
3. HP
4. none
2
𝑥
Q16. Given f→[ -10, 10]→R, sin f(x)=sinx + 𝑎 be odd function, then set of values of ‘a’ -
1. (-10, 10) - {0}
2. (0,15)
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3. [100,∞)
4. (100,∞)
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Q17. Sum of cubes of n natural numbers
2
(𝑛(𝑛+1))
1. 4
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2
(𝑛(𝑛+3) )
2. 4
2
(𝑛(𝑛+2) )
3. 4
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4. none
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Q18. Maximum and minimum value of 8 cos𝛉 - 15 sin𝛉
1. 17 and -17
2. 18 and -18
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3. 25 and -25
4. none
Q19. Sum of n natural numbers
𝑛(𝑛+1)
1. 2
𝑛(𝑛+3)
2. 2
𝑛(𝑛−1)
3. 2
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4. none
2
Q20. Angle between tangents drawn from a parabola 𝑦 = 4a(x -a) is
−1
1. 𝑡𝑎𝑛 (-2)
2. 45
3. 90
4. 60
m
Q21. In what proportion the 35% alcohol should be mixed with 60% of alcohol to make a 50% of
alcohol solution?
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1. 2/3
2. 3/2
3. 2/5
4. 3/5
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2
Q22. Order and degree of differential equation of 𝑦 = 2c (x + 𝑐) is
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1. 1,3
2. 3,2
3. 2,3
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4. 3,1
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Q23. What is the fraction to 5/7 which is an ⅖ is to 9/15 ?
1. 10/21
2. 21/10
3. 10/23
4. None
Q24. If 1/a = 1/b + 1/c then c equals
1. ab/(b-a)
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2. ab/(b+a)
3. ab/(a-b)
4. none
2 2
Q25. Shortest distance between the parabola 2𝑦 = 2𝑥 − 1 and 2𝑥 = 2𝑦 − 1
1. 1/(2 2)
2. 2 2
3. 36/5
4. 4
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2 2
Q26. Eccentricity of the hyperbola 2𝑥 − 𝑦 =6
1. 2
2. 3
3. 3
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4. 6
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2 2
𝑥 𝑦
Q27. Equation 10 − 𝑎 + 4 − 𝑎 = 1 represents an ellipse if
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1. a>10
2. a>4
3. a<4
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4. 4<a<10
2
𝑑𝑦 𝑦
Q28. Solution of Differential Equation 𝑑𝑥 = − 2
𝑥 − 𝑥𝑦
−𝑦
1. ky= 𝑒
𝑥
𝑦
2. 𝑘𝑦= 𝑒 𝑥
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−𝑦
3. kx= 𝑒
𝑥
𝑦
4. ky= 𝑒
𝑥
Q29. Value of 3 cosec 20 - sec 20 is
1. 2sin 20/ sin 40
2. 4
3. Sin 20/ sin 40
4. 2
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2
Q30. Solution at the differential equation ydx + ( x +𝑥 y)dy = 0
1. -1/xy = c
2. -1/xy + log y = c
3. 1/xy + log y = c
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4. Log y = cx
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2
Q31. The vertex of the parabola 𝑦 − 10𝑦 + 22 = 0 is
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1. (3,4)
2. (3,5)
3. (5,3)
4. None of these
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2
Q33. For how many value of 𝝧 between 2𝞹 is the equation 2 cosec 2𝝧 Cot𝝧 - 𝐶𝑜𝑡 𝝧 = is valid?
1. 0
2. 2
3. 1
4. None of these
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Q34. There are “n” arithmetic progressions beginning with 1 and there common difference being
1,2,3,......n respectively then sum of their nth term is ……..
1 2
1. 2
𝑛 (𝑛 + 1)
1 2
2. 2
𝑛(𝑛 − 1)
1 2
3. 2
𝑛(𝑛 + 1)
1 2
4. 3
𝑛(𝑛 − 1)
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Q35. The area enclosed by |x| + |y| = 1 is
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1. 1
2. 3
3. 2
4. 4
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Q36. Ina caravan, in addition to 50 hens there are 45 goats and 8 camels with some keepers. If the
total number of feet be 224 more than the number of heads, find the number of keepers.
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1. 5
2. 10
3. 18
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4. 15
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𝑦
𝑑𝑦 𝑥 𝑙𝑜𝑔 𝑥 𝑒
Q37. The solution of differential equation 𝑑𝑥 − (1 + 𝑙𝑜𝑔𝑥) = (1 +𝑙𝑜𝑔 𝑥) if y(1)=0, is
𝑦
𝑦 𝑒
1. 𝑒 =𝑥
𝑦
𝑥 𝑒
2. 𝑥 = 𝑦
𝑦
𝑦𝑒
𝑥 𝑒
3. 𝑥 = 𝑥
4. none
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2
𝑑𝑦 𝑦
Q38. The solution of the differential equation 𝑑𝑥 = 2 is
𝑥𝑦 − 𝑥
𝑥𝑦
1. 𝑦 = 𝑐𝑒
𝑥/𝑦
2. 𝑦 = 𝑐𝑒
3. log y = xy + c
4. log x = xy + c
Q39. The value o f 3sin x + cos x is maximum when x is equal to
m
1. 30°
2. 45°
3. 60°
4. 90°
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Q40. The radius of the circle passing through the center of the incircle of triangle ABC and through
the end points of BC is given by
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1. a/2 sin A
2. a/2 cos A
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3. a/2 sec A/2
4. none
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2 2
𝑚 −𝑛
Q41. If sin𝝧 = 2 2 , then the value of tan𝝧 is
𝑚 +𝑛
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2 2
𝑚 −𝑛
1. tan𝝧=
𝑚𝑛
2 2
𝑚 +𝑛
2. tan𝝧=
𝑚𝑛
3. Both 1 and 2
4. None of the above
Q42. One of the two events must occur. If the chance of one is 2/3rd of the other, then the odds in
favour of the other are.
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1. 3/2
2. 5/7
3. 2/3
4. none
𝑥−𝑦 𝑦−𝑥
Q43. The solution of the differential equation 𝑒 𝑑𝑥 + 𝑒 𝑑𝑦 = 0 can be
2𝑥 2𝑦
1. 𝑒 −𝑒 = 0
2𝑥 2𝑦
2. 𝑒 + 𝑒 = 0
𝑥−𝑦 𝑦−𝑥
3. 𝑒 +𝑒 = 0
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4. none
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Q44. Ten years ago, the average age of A and B was 20 years. Average age of A, B and C is 30
years today. How old will C be after 5 years
1. 30
m
2. 20
3. 51
4. 35
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Q45. If tan𝛉 = 3 and 𝛉 lies in the third quadrant then the value of sin𝛉 is
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1. 1/ 10
2. - 1/ 10
3. - 3/ 10
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4. 3/ 10
Q46. In a rhombus ABCD the diagonal AC and BD intersect at a point (1,2). If the point B is (2,3).
The diagonal AC has equation
1. X - y=-1
2. X + y=0
3. X + y=3
4. none
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Q47. f(x).f(1/x)=f(x) + f(1/x) and f(4)=65 then f(6) is
1. 220
2. 217
3. 200
4. 273
2 2
𝑥 𝑦
Q48. The straight line y =3x+c will be tangent to hyperbola 25 − 16 = 1 if c is equal to
m
1. 119
2. 209
3. 225
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4. 144
Q49. A boy carved his initials on the back of the tree at a height of 2.5 m above the ground the tree
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was 5 m tall at that time, in 10 years the tree attained a height of 15 m. The initial carved by a boy
will now be found at what height above the ground?
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1. 15 m
2. 17.5 m
3. 2.5 m
4. 7.5 m
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2 2
𝑥 𝑦
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Q50. The radius of the circle passing through the foci of the ellipse 16 + 9
= 1 and having its
center at ellipse (0,3)
1. 12
2. 7
3. 4
4. None
Q51. What is the angle between any two diagonals of a cube ?
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−1
1. 𝑐𝑜𝑠 1/ 3
−1
2. 𝑐𝑜𝑠 1/3
−1
3. 𝑠𝑖𝑛 1/3
4. none
Q52. The probability that at least one of the events A and B occurs is 0.6. If A and B occur
simultaneously with probability 0.2, then P(Aˉ)+P(Bˉ) is
1. 1.4
2. 1.2
m
3. 0.4
4. 0.8
2
Q53. If 𝑎 = (1/10) , b= 1/5, c=
1. c < a < b
1
100
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then which of the following statements is correct?
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2. a < b< c
3. a < c < b
4. None
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Q54. The height of a room is 40% of the semiperimeter. It cost Rs 260 to paper the wall of the room
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with paper 50 cm wide at Rs 2 per m allowing the area of 15 sq.m for doors and windows the height
of the room is
1. 4.0 m
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2. 3.9 m
3. 2.6 m
4. 4.2 m
2 2 2
Q55. Suppose a,b,c are in Arithmetic progression and 𝑎 , 𝑏 , 𝑐 are in geometric progression. If a<
b< c and a+b+c=3/2, the value of a is
1. 1/2 -1/ 3
2. 1/2 -1/ 2
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3. 1/2 2
4. None
3
Q56. Let function f : R→R defined by f(x)=𝑥 , x∈R is
1. Injective
2. Bijective
3. Surjective
4. None
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Q57. The area of quadrilateral formed by common tangent to ellipses
2 2 2 2
𝑥 𝑦 𝑥 𝑦
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𝐸1 : 16
+ 9 = 1 & 𝐸2 : 9
+ 16 = 1 is
1. 49
2. 50
3. 25
m
4. 100
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Q58. The age of surabhi neeraj is in the ratio 6:7, after 6 years the ratio of their age be 15:17. What
is the age of the neeraj?
1. 24 years
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2. 32 years
3. 26 years
4. 28 years
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Q59. The sum of 2n terms of the series of which every term is a times the term before it and every
odd term is c times the term before it, and first term being 1 is
𝑛
(𝑎𝑐) − 1)
(a) (1+a)( 𝑎𝑐 − 1
𝑛
(𝑎𝑐) − 1)
(b) (1+a)( 𝑎𝑐 + 1
𝑛
(𝑎𝑐) + 1)
(c) (1+a)( 𝑎𝑐 − 1
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(d)None of the above
m
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m
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