Q:

If a and b are the roots of the equation Px2  Qx + R = 0, then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a)?

A) Q2-2P2R+PPR2 B) Q2-2PRR+PPR2
C) Q2-2R2P+RP2R2 D) Q2-2PR2R+2PP2R2
 
Answer & Explanation Answer: B) Q2-2PRR+PPR2

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Exam Prep: Bank Exams

0 1185
Q:

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

A) x2 – 1522x + 14641 = 0 B) x2 + 1921x + 14641 = 0
C) x2– 1764x + 14641 = 0 D) x2+ 2520x + 14641 = 0
 
Answer & Explanation Answer: A) x2 – 1522x + 14641 = 0

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2 1014
Q:

If the difference between the roots of the equation Ax2  Bx + C = 0 is 4, then which of the following is TRUE?

A) B2 – 16A2 = 4AC + 4B2 B) B2 – 10A2 = 4AC + 6A2
C) B2 – 8A2 = 4AC + 10A2 D) B2 – 16A2 = 4AC + 8B2
 
Answer & Explanation Answer: B) B2 – 10A2 = 4AC + 6A2

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0 807
Q:

If a = 3+23-2, b = 3-23+2 then a2+b2-ab ?

A) 97 B) (2√3) + 2
C) (4√6) + 1 D) 98
 
Answer & Explanation Answer: A) 97

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0 884
Q:

Which of the following statement(s) is/are TRUE?

I. √5 + √5 > √7 + √3
II. √6 + √7 > √8 + √5
III. √3 + √9 > √6 + √6

A) Only I B) Only I and II
C) Only II and III D) Only I and III
 
Answer & Explanation Answer: B) Only I and II

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0 34989
Q:

M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

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2 1980
Q:

If x + y = 10 and xy = 4, then what is the value of x4 + y4?

A) 8464 B) 8432
C) 7478 D) 6218
 
Answer & Explanation Answer: B) 8432

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0 1296
Q:

If A = 232, B = 231+ 230+ 229+ ... + 20and C = 315+ 314+ 313+ ... + 30, then which of the following option is TRUE?

A) C > B > A B) C > A > B
C) A > B > C D) A > C > B
 
Answer & Explanation Answer: B) C > A > B

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0 1926