# General Maths Questions and Answers Section 3

1. Three forces of magnitudes 1, 2, 3 dynes meet in a point and act along diagonals of three adjacent faces of a cube. The resultant force is
A. 114 dyne
B. 6 dyne
C. 5 dyne
D. None of the above

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2. The mean age of a combined group of men and women is 30 years. If the means of the age of men and women are respectively 32 and 27, then the percentage of women in the group is:
A. 30
B. 40
C. 50
D. 60

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3. The moduli of two complex numbers are less than unity, then the modulus of the sum of these complex numbers will be:
A. Less than unity
B. Greater than unity
C. Equal to unity
D. All of the above

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4. 7 white balls and 3 black balls are placed in a row at random. The probability that no two black balls are adjacent, is:
A. 1/2
B. 7/15
C. 2/15
D. 2/17

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5. In how many ways can 10 true­false questions be replied:
A. 20
B. 100
C. 512
D. 1024

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6. How many even numbers of 3 different digits can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 (repetition is not allowed):
A. 224
B. 280
C. 324
D. None of these

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7. A G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd places, then the common ratio will be equal to:
A. 2
B. 3
C. 4
D. 5

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8. In a touring cricket team there are 16 players in all including 5 bowlers and 2 wicket­keepers. How many teams of 11 players from these, can be chosen, so as to include three bowlers and one wicket­keeper:
A. 650
B. 720
C. 750
D. 800

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9. If MASTER is coded LZRSDQ, then, how is TELEPHONE coded?
A. SDKDOGNMD
B. SDOHPELET
C. SDKDENOPH
D. PHONETELE

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10. A train covers a distance of 10 km in 12 min. If its speed is decreased by 10 kmph, then the time taken by the train to cover the same distance will be:
A. 18 min
B. 14 min
C. 15 min
D. 16 min

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