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Consider the following sentences: 1. If a = bc with HCF(b, c) = 1, then HCF(c, bd) = HCF(c, d). 2. If a = bc with HCF(b, c) = 1, then LCM(a, d) = LCM(c, bd). Which of the above statements is/are correct?
Consider the following statements: 1. The HCF of (p + q) and (p2 – q2) is (p + q). 2. The HCF of (p – q) and (p2 – q2) is (p + q). 3. The HCF of (p + q) and (p3 + q3) is (p + q). 4. The HCF of (p – q) and (p3 – q3)  is (p + q). Which of the above statements is/are correct?
HCF of 132, 156 and 192 is x, HCF of 105, 150 and 210 is y, and HCF of 112, 196 and 210 is z. Which is the greatest HCF?
Consider the following in respect of natural numbers a, b and c: 1. LCM(ab, ac) = a × LCM(b, c) 2. HCF(ab, ac) = a × HCF(b, c) 3. HCF (a, b) < LCM(a, b) 4. HCF(a, b) divides LCM(a, b) Where, a ≠ b ≠ c  Which of the above are correct?
Which of the following is/are true? I. HCF of p2-p-6 and p6-93 is 1. II. HCF of x+y and x10-y10 is x+y. III. HCF of x+y and x10+y10 is x+y.
Z24 মৌলটির সঠিক ইলেকট্রন বিন্যাস হল-
If a complex number z, with integral real and imaginary parts, satisfies z2+ z̅2=16, then find the value of |z|.
From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.
HCF and LCM of two numbers P and Q are 16 and 560 respectively and when 8 is added to P and 20 is added to Q, then HCF and LCM become 20 and 600 respectively, then what is the ratio of the value of P to Q? Assume both P and Q are more than 50.
There are two distinct numbers A and B of which A is larger. If LCM and HCF of A and B are 525 and 15 respectively and their LCM is 7 times that of B, then what is the HCF of A and B when 5 is added to both A and B?