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Q:

Find the Odd one out of the given series

6, 15, 35, 77, 165, 221

A) 221	B) 165
C) 35	D) 77

Answer & Explanation Answer: B) 165

Explanation:

The terms of the series are products of two consecutive prime numbers i.e.

(2 x 3), (3 x 5), (5 x 7), (7 x 11),.....

So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.

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Filed Under: Odd Man Out
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Q:

Find the quadratic equations whose roots are the reciprocals of the roots of $2 x^{2} + 5 x + 3$ ?

A) $3 x^{2} + 5 x + 2 = 0$

B) $5 x^{2} + 3 x + 2 = 0$

C) $3 x^{2} - 5 x - 2 = 0$

D) None

A) A	B) B
C) C	D) D

Answer & Explanation Answer: A) A

Explanation:

The quadratic equation whose roots are reciprocal of $2 x^{2} + 5 x + 3 = 0$ can be obtained by replacing x by 1/x.

Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

=> $3 x^{2} + 5 x + 2 = 0$

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Filed Under: Mathematical Operations
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Q:

When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ?

A) 188 million	B) 166 2/3 million
C) 192 3/4 million	D) None

Answer & Explanation Answer: B) 166 2/3 million

Explanation:

5% - 2% = 3%
=> 3% ------ 5 million bags
100% ---- ?
=> 166 2/3 million bags.

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Filed Under: Arithmetical Reasoning
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Q:

Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m. ?

A) 20 kmph	B) 18 kmph
C) 12 kmph	D) 16 kmph

Answer & Explanation Answer: C) 12 kmph

Explanation:

Let the distance traveled be x km.
Then, x/10 - x/15 = 2
3x - 2x = 60 => x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.
So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.
Required speed = 60/5 = 12 kmph.

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Filed Under: Time and Distance
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Q:

A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ?

A) 7500	B) 6200
C) 5600	D) 4700

Answer & Explanation Answer: A) 7500

Explanation:

Let the candidates be A & B
35%-----------A
65%-----------B

Difference of votes (65-35)% = 30%

=> 30% ------- 2250
Then for 100% -------- ? => 7500

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Filed Under: Percentage
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Q:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?

A) 45 kmph	B) 25 kmph
C) 30 kmph	D) 50 kmph

Answer & Explanation Answer: D) 50 kmph

Explanation:

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

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Filed Under: Problems on Trains
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Q:

Find the odd one out of the series ?

35, 48, 54, 63, 81, 105

A) 63	B) 48
C) 35	D) 81

Answer & Explanation Answer: C) 35

Explanation:

48, 54, 63, 81 and 105 are divisible by 3 but not 35.

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Q:

45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ?

A) 36	B) 61
C) 48	D) 54

Answer & Explanation Answer: A) 36

Explanation:

(45 x 9)/40 = (M x 7)/56 => M = 81

=> 81 – 45 = 36

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Filed Under: Time and Work
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