1. How many meaningful English words can be formed by using letters of the word "ELPA"?
A
One
B
Two
C
Three
D
More than three
The word "ELPA" consists of 4 letters. Let`s analyze how many meaningful English words can be formed using these letters:
So, there are 5 meaningful English words that can be formed using the letters of the word "ELPA".
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2. Express 231 in prime factors
A
3x7x11
B
21x11
C
33x4
D
3x4x11
3x7x11
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3. Find the value of the polynomial 5x - 4x² + 3 at x = -1
A
8
B
-9
C
3
D
-6
-6
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4. if (1, -2) is a solution of the equation 2x -y = p, then find the value of p
A
4
B
0
C
2
D
1
4
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5. The ratio of two sides of a parallelogram in 3:5 and its perimeter is 96 cim. Find the adjacent side of the parallelogram.
A
18 cm
B
20 cm
C
60 cm
D
45 cm
18 cm
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6. Express 0.000532 is standard form
A
532 x 105
B
5.32 x 10-4
C
532 x x 10-3
D
0.532 x 102
5.32 x 10<sup>-4</sup>
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7. How many pieces of length 125 can be cut from a rod 50 m long?
A
35
B
40
C
52
D
28
Given:
length of rod = 50 m, length of each piece = 125 cm
Formula Used:
number of pieces of rod = length of rod/length of each piece
1 m = 100 cm
Calculation:
⇒ length of rod = 50 m = 5000 cm
⇒ number of pieces of rod = 5000/125 = 40
∴ required number of pieces of rod = 40
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8. What is the value of p(t) = 2 + t + 2t2 - t3 for p(0)
A
1
B
2
C
3
D
5
2
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9. The multiplicative inverse of -13 is p/13, then -p is equal to
A
1
B
0
C
-13
D
None of these
1
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10. What should come in the place of question mark(?) in the following question? using BODMAS
(25)2 + (16)2 - (18)2 - (4)2 + (√4)2 - (√121) = ?
A
534
B
524
C
576
D
512
11. √x × 125 = (24646-22771)×11
A
27225
B
29225
C
28225
D
30225
27225
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12. Find the rate of interest when:(%) Principal = Rs.11000, SI = Rs.7040 and time = 8 years
A
10
B
4
C
8
D
6
8
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13. What is the average of first five multiples of 13?
A
39
B
37
C
35
D
41
14. Henry lended a sum of Rs.4950 for 20% per annum at compound interest then the sum of the amount will be Rs.7128 is obtained. After how many years he will get that amount?
A
2
B
1
C
3
D
4
7128 = 4950 (120/100)^x
This equation holds for x = 2
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15. If p(A) = 0.3, p(B) = 0.8 and p(A and B) = 0.7, find p(A or B)
A
0.3
B
0.5
C
0.6
D
0.4
0.4
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16. Find the length of the largest pole that can be placed in a room of dimensions 36 m × 12 m × 9 m
A
43
B
41
C
39
D
45
39
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17. √((68÷17×9)÷16) = ? - 0.5
A
1
B
4
C
2
D
3
2
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18. Find the area of trapezium whose parallel sides are 24 cm and 20 cm long, and the distance between them is 17 cm. (In cm2 )
A
354
B
364
C
374
D
344
19. Find the area of the square whose side is 235 cm. (In cm2
A
54225
B
56225
C
53225
D
55225
20. Find the greatest number of three digits which is divisible by 12, 24, 32 and 30.
A
970
B
990
C
980
D
960
21. If a line passing through the points (k, 3k) and (2, 3) is perpendicular to the line 3x + 4y + 5 = 0, then what is the value of k?
A
4/5
B
2/5
C
3/5
D
1/5
22. Which of the following sets is finite?
A
Set of lines perpendicular to x-axis
B
The set of numbers which are multiple of 5
C
Set of letters in English alphabet
D
Set of lines parallel to x-axis
Set of letters in English alphabet
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23. If f(x) = x2 – 8x + 7, then what is the value of f`(4) + 3f`(2)?
A
–18
B
–16
C
–12
D
–20
24. If f(x) = kx3 + px + 10 and f`(3) = 15 and f`(1) = 10, then what is the value of (k + p)?
A
109/12
B
113/12
C
119/12
D
115/12
25. What is the equation of a line passing through (3, 5) and inclined at an angle of 135 degree with the positive direction of x-axis?
A
x + y = 8
B
x – y = –8
C
x + y = –8
D
x – y = 8
x + y = 8
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26. The set builder form of the set A = {3, 9, 27, 81, 243} is ____
A
{x : x = 3n, n ∈ N and 1 < n < 5}
B
{x : x = 3n, n ∈ N and 1 < n ≤ 5}
C
{x : x = 3n, n ∈ N and 1 ≤ n ≤ 5}
D
{x : x = 3n, n ∈ N and 1 ≤ n < 5}
{x : x = 3n, n ∈ N and 1 ≤ n ≤ 5}
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27. Which of the following is correct roaster form of set A = {x : x is an integer and –1 ≤ x < 3}?
A
A = {–1, 0, 1, 2}
B
A = {–1, 0, 1, 2, 3}
C
A = {0, 1, 2}
D
A = {0, 1, 2, 3}
A = {–1, 0, 1, 2}
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28. The length of the latus-rectum of the ellipse x2 + 4y2 + 2x + 16y + 13 = 0 is __
A
2
B
3
C
4
D
1
29. Which of the following is correct form of De-Morgan`s Law?
A
(A ⋂ B )` = A` ∪ B`
B
(A ⋂ B)` = A` ⋂ B`
C
A ∪ B) = A ⋂ B
D
(A ⋂ B) = A` ⋂ B`
(A ⋂ B )` = A` ∪ B`
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30. What is the equation of the line which is parallel to 2x – 3y + 10 = 0 and passes through the point (2, 3)?
A
2x – 3y + 5 = 0
B
2x + 3y + 10 = 0
C
2x – 3y + 10 = 0
D
2x + 3y + 5 = 0
2x – 3y + 5 = 0
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