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Q:

If a + b + c = 7/12, 3a – 4b + 5c = 3/4 and 7a – 11b – 13c = – 7/12, then what is the value of a + c?

A) 1/2 B) 5/12
C) 3/4 D) 1/4
 
Answer & Explanation Answer: B) 5/12

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Filed Under: Simplification
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Q:

If 3x + 4y – 11 = 18 and 8x – 6y + 12 = 6, then what is the value of 5x – 3y – 9?

A) 18 B) – 9
C) – 27 D) – 18
 
Answer & Explanation Answer: B) – 9

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Q:

If α and β are the roots of the equation x2+ x  1 = 0, then what is the equation whose roots are α5 and β5?

A) x2 + 7x – 1 = 0 B) x2 – 7x – 1 = 0
C) x2 – 11x – 1 = 0 D) x2 + 11x – 1 = 0
 
Answer & Explanation Answer: D) x2 + 11x – 1 = 0

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Q:

What is the value of √121 + √12321 + √1234321 + √123454321?

A) 12345 B) 123456
C) 12344 D) 123454
 
Answer & Explanation Answer: C) 12344

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Q:

How many natural numbers are there between √261 and √45109?

A) 144 B) 196
C) 168 D) 195
 
Answer & Explanation Answer: B) 196

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Filed Under: Problems on Numbers
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Q:

What is the unit digit of 15+25+35+...+205 ?

A) 0 B) 5
C) 2 D) 4
 
Answer & Explanation Answer: A) 0

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Q:

What is the value of 13×7+17×11+111×15+...+1899×903 ?

A) 21/509 B) 18/403
C) 25/301 D) 29/31
 
Answer & Explanation Answer: C) 25/301

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Q:

If 1+121+141+161+181-131-151-17 = 1+ 1x, then what is the value of x?

A) 6 B) 8
C) 5 D) 7
 
Answer & Explanation Answer: B) 8

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