21. Which of the following statements is true?
Answer: Mark is the top scorer.
Explanation:Here is no explanation for this answer
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22. If each of the three nonzero numbers a , b , and c is divisible by 3, then abc must be divisible by which one of the following the number
Answer: 27
Explanation:Since each one of the three numbers a, b, and c is divisible by 3, the numbers can be represented as 3p,3q, and 3r, respectively, where p, q, and r are integers.
The product of the three numbers is 3p*3q*3r =27(pqr).
Since p, q, and r are integers, pqr is an integer and therefore abc is divisible by 27
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23. A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Answer: 45.45%
Explanation:Number of runs made by running = 110 - (3 * 4 + 8 * 6)
= 110 - (60) = 50.
Required percentage = ({50/110}*100)% = 45{5/11}%
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24. Factorize y^2 + 8y - 48 = 0
Answer: (y+12) (y-4)
Explanation:Here is no explanation for this answer
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25. How many ways can 360 be written as product of two numbers.
Answer: 12
Explanation:1*360, 2*180, 3*120, 4*90, 5*72, 6*60, 8*45, 9*40, 10*36, 12*30, 15*24, 18*20
SOL 2) 360 => 2^3 * 3^2 * 5^1 [i.e. a^x * b^y * c^z)
No. of ways can be written as a prod of 2 no's is
(x+1)*(y+1)(z+1)/2
=> (3+1)*(2+1)*(1+1)/2
=> 24/2 = 12
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26. Exactly seven swimmers – Tabasser, Ramim, Mehedi, Shams, Rakibul, Eradul and Zihan participate in and finish all of a series of swimming races. There are no ties for any position at the finish of any of the races.
Zihan always finishes somewhere ahead of Ramim.
Ramim always finishes somewhere ahead of Mehedi.
Either Tabasser finishes first and Rakibul finishes last, or Shams finishes first and Eradul or Mehedi finishes last.
If in a race Zihan finishes fifth, which of the following must be true?
Answer: Shams finishes first
Explanation:Here is no explanation for this answer
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27. If in a race Tabasser finishes first, Zihan can finish no lower than
Answer: fourth
Explanation:Here is no explanation for this answer
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28. If in a race Shams finishes second, which of the following can be true?
Answer: Eradul finishes before Zihan
Explanation:Here is no explanation for this answer
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29. If in a race Shams finishes sixth and Mehedi finishes fifth, which of the following can be true?
Answer: Eradul finishes third or fourth
Explanation:Here is no explanation for this answer
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30. If in a a race Tabasser finishes second and Mehedi finishes fifth, which of the following must be true?
Answer: Rakibul finishes sixth
Explanation:Here is no explanation for this answer
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