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6, 6, 7, ?, 91, 463
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Answer : 4.25
Explanation :
6*1 – 1 + 1 = 6
6*2 – 2 – 3 = 7
7*3 – 1 + 5 = 25
25*4 – 2 – 7 = 91
91*5 – 1 + 9 = 463
2, 1, 13, 34, 106, ?
Answer : 3.221
2 + 1³ – 2 = 1
1 + 2³ + 4 = 13
13 + 3³ – 6 = 34
34 + 4³ + 8 = 106
9x – 17.45 = 67.55 + 4x y – 6)(y – 5) = (y – 4)(y – 3)
Answer : 1. X > Y
Explanation:
9x – 17.45 = 67.55 + 4x
9x – 4x = 67.55 + 17.45
5x = 85 => x= 17
(y – 6)(y – 5) = (y – 4)(y – 3)
4y = 18; y = 4.5
x² – 17x + 72 = 0 6y² – 31y + 35 = 0
x² – 17x + 72 = 0
x = 8, 9
6y² – 31y + 35 = 0
y = 1.6, 3.5
4x² + 25x + 21 = 0 3y² + 29y + 56 = 0
Answer : 5. X = Y or relation cannot be established
4x² + 25x + 21 = 0
x = -1, – 5.25
3y² + 29y + 56 = 0
y = -7, -2.6
Directions(6-9): Study the table and answer the given questions.
Number of Smartphones sold by the five different shops in five different months
Que - What is the average number of Smartphones sold by Shop O in August, September and December?
Answer : 2. 177
Average number of Smartphones sold by Shop O in August, September and December = (175 + 159 + 197)/3 = 177
Que - What is the difference between the total number of Smartphones sold by Shop K and L together in September and the total number of Smartphones sold by shops M and N together in December?
Answer : 1.175
Total number of Smartphones sold by Shop K and L together in September = 109 + 87 = 196
Total number of Smartphones sold by Shop M and N together in December = 220 + 151 = 371
Difference = 371 – 196 = 175
Que - If the number of Smartphones sold by shop T in January was 70% more than that sold by the same shop in November, what was the number of Smartphones sold by the shop O in January?
Answer : 5. 306
170/100 * 180 = 306
Que - The total number of Smartphones sold by shops L and N together in November is what percent more than the number of Smartphones sold by shop K in August?
Answer : 3. 72%
Required % = (258 – 150)/150 *100 = 72%
7, ?, 19, 45, 95, 177
Answer : 5.9
7 + 1² + 1= 9
9 + 3² + 1= 19
19 + 5² + 1= 45
6, 8, 12, 42, 160, ?
Answer : 4.810
6 * 1 + 2 = 8
8 * 2 – 4 = 12
12 * 3 + 6 = 42
42 * 4 – 8 = 160
160 * 5 + 10 = 810
√((444)÷37 + 15 + 11 * (?)) = 7
Answer : 3. 2
12 + 15 + 11x = 49
11x + 27 = 49
x = 2
(32.4 * 8 * 5 + 4) ÷ 26 + 14 = (?)²
Answer : 1. 8
32.4 * 8 * 5 + 4 = 1300
1300 ÷ 26 + 14 = 64 => x = 8
x² – 9x + 20 = 0 2y² – 3y – 20 = 0
Answer : 3. X ≥ Y
x² – 9x + 20 = 0
x = 4, 5
2y² – 3y – 20 = 0
y = – 2.5, 4
2x² – 11x + 14 = 0 y² – 9y + 20 = 0
Answer : 2. X < Y
2x² – 11x + 14 = 0
x = 3.5, 2
y² – 9y + 20 = 0
y = 5, 4
[(5√6 + √6) x (16√6 + 9√6)] – 96 = ?
Answer : 2. 804
[(5√6 + √6) x (16√6 + 9√6)] – 96
[√6(5 + 1) x √6(16 + 9)] – 96
900 – 96 = 804
√(49 x 24 x 2 -(11)³ + 68) = ?
Answer : 2. 33
√(2352 – 1331 + 68) = √1089 =33
14, 27, 43, 65, ?, 157
Answer : 1. 99
14*2 – 1 = 27
27*2 – 11 = 43
43*2 – 21 = 65
4, ?, 120, 595, 2376 7125
Answer : 3. 21
4*7 -7 = 21
21*6 -6 = 120
120*5 -5 = 595.
x² – 39x + 324 = 0 y² – 47y + 420 = 0
x² – 39x + 324 = 0
x = 27, 12
y² – 47y + 420 = 0
y = 35, 12
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