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Answer :
Look for the Pattern: The sequence given is 2, 4, 8, 16.
Each number is obtained by multiplying the previous number by 2. So, the next number after 16 should be:
[tex]16 \times 2 = 32[/tex]Therefore, the correct answer is (c) 32.
Calculate the Cost of Pencils:
The cost of 5 pencils is Rs. 25. Let's find the cost for 8 pencils. The cost per pencil is calculated as:
[tex]\text{Cost per pencil} = \frac{25}{5} = \text{Rs. 5}[/tex]For 8 pencils, the cost would be:
[tex]8 \times 5 = \text{Rs. 40}[/tex]Hence, the correct answer is (c) Rs. 40.
Find the Odd Number:
The numbers given are 11, 13, 17, 19, 21, 23. These are mostly prime numbers except 21.
21 is the only even number and not a prime number, so the correct answer is (c) 21.
Calculate the Time Taken:
If 3 people take 3 hours to paint a wall, then the work-rate is 1 wall per 9 person-hours.
Doubling the number of people to 6 will halve the time required:
[tex]\frac{3 \times 3}{6} = 1.5 \text{ hours}[/tex]Thus, the correct answer is (b) 1.5 hours.
Find the Missing Number:
The pattern is increasing by a factor of 2: 7, 14, then 28.
Therefore, the next number should be:
[tex]14 \times 2 = 28[/tex]Thus, the correct answer is (c) 28.
Angle of a Straight Line:
A straight line always forms a 180° angle.
Thus, the correct answer is (c) 180°.
Find the Clock Angle:
When the time is 3:15, the minute hand is on 3 (15 minutes), and the hour hand is a quarter of the way between 3 and 4.
The angle between each hour is 30°, so the angle is:
[tex]30° + 7.5° = 30° + 0.5 \times 30° = 7.5°[/tex]Thus, the correct answer is (b) 7.5°.
Decoding the Code:
The code EARTH is transformed into GDUWK. Each letter is shifted forward by 3 letters in the alphabet.
By shifting each letter in MOON similarly:
M -> P, O -> R, O -> R, N -> QTherefore, MOON is coded as PRRQ, making the correct answer (a) PRRQ.
Find the Consecutive Odd Numbers:
Let the numbers be [tex]x - 2, x, x + 2[/tex].
Adding them gives the equation: [tex](x - 2) + x + (x + 2) = 51[/tex]
Simplifying, we get:
[tex]3x = 51 \Rightarrow x = 17[/tex]Therefore, the numbers are 15, 17, 19, making the correct answer (a) 15, 17, 19.
Calculate the Train's Travel Distance:
The speed of the train is [tex]\frac{120 \, \text{km}}{2 \, \text{hours}} = 60 \, \text{km/h}[/tex].
For 5 hours, the train will travel:
[tex]60 \, \text{km/h} \times 5 \, \text{hours} = 300 \, \text{km}[/tex]
Thus, the correct answer is (c) 300 km.
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