**When n is divided by 6, the remainder is 4. When 2n is divided by 6, the remainder is**- 2
- 0
- 4
- 1

Answer : Option A.

When n is divided by 6, the remainder is 4. Hence,the number can be written as n = 6k +4

hence, 2n = 12k + 8 and when 2n is divided by 6 : remainder will be ( 12 k + 8 ) / 6 = 2

So,12k gives remainder 0 with 6 and 8 gives remainder 2 with 6. So, remainder is 0 + 2 = 2.Hence, Ans is option A.**The value of is 1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90 is**- 1/10
- 3/5
- 3/20
- 7/20

Answer : Option C.

1/(4×5) + 1/(5×6) + 1/(6×7) + 1/(7×8) + 1/(8×9) + 1/(9×10)

= (1/4 - 1/5) + (1/5 - 1/6) + (1/6 - 1/7) + (1/7 - 1/8) + (1/8 - 1/9) + (1/9 - 1/10)

= 1/4 -1/10 = 3/20

So answer is option C.

**Let a = 1/(2 - √3) + 1/(3 - √8) + 1/(4 - √15). Then we have**- a > 18
- a >= 18
- a = 18
- a = 9

Answer : Option A.Rationalize the given terms we get=2+√3 / 2^{2}- (√3)^{2}+ 3 +√8 /3^{2}-(√8)^{2}+ 4 + √15 / 4^{2}- (√15)^{2}=(2+√3)+ (3 +√8)+(4 + √15)= 9 + (√3+√8+√15)= 9+8.422 = 17.422So Answer is Option A.**The smallest among the numbers 2**^{250}, 3^{150}, 5^{100}and 4^{200}is- 4
^{200} - 5
^{100} - 3
^{150} - 2
^{250}

Answer : Option B.

2^{250}, 3^{150}, 5^{100}and 4^{200}can be written as :

2^{250}= ( 2 )^{5*50}= 32^{50}

3^{150}= ( 3 )^{3*50}= 27^{50}

5^{100}= ( 5 )^{2*50}= 25^{50}

4^{200}= ( 4 )^{4*50}= 256^{50}

Hence, the smallest number is 5^{100}

So, Ans is option B.- 4
**The greatest of the following numbers 0.16, √0.16, (0.16)**^{2}, 0.04 is- 0.16
- √0.16
- 0.04
- (0.16)
^{2}

Answer : Option B.

Check Each Option

A => 0.16

B => 0.4

C => 0.04

D => (0.16)2 = 0.0256

Hence, the greatest number is 0.4

So, Ans is option B.Motorola Preparation Links- Sample Aptitude Questions of Motorola
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**If part of a journey takes 10 minutes, then to complete ( 3 / 5 )th of that journey, it will take**- 40 minutes
- 45 minutes
- 48 minutes
- 36 minutes

Answer : Option C.

part of journey means = 4 - 155/40 = 5/40th of the journey will take 10 mins

Hence, for the full journey it will take 80 mins

Therfore for 3/5 th of the journey,it will take = ( 3/5 ) * 80 = 48 mins

Hence, Ans is option C.**If a number is increased by 25% and the resulting number is decreased by 25%,then the percentage increase or decrease finally is**- No change
- Decreased by 6
^{1/4}% - Increased by 6
^{1/4}% - Increased by 6%

Answer : Option B.

Let the number be 100.

So 100 + 25% = 125

125 - 25% = 93.75

So net change = 100 - 93.75 = 6.25%**A reduction of 20% in the price of rice enables a customer to purchase 12.5 kg more for Rs. 800. The original price of rice per kg is**- Rs. 14
- Rs. 16/-
- Rs. 12/-
- Rs. 15/-

Answer : Option B.

Let the price of rice is Rs x / kg

As per the question

800/ 0.8x - 800 / x = 12.5

160/0.8x = 12.5

on solving x= 16**In two alloys A and B, the ratio of zinc to tin is 5 : 2 and 3 : 4 respectively. Seven kg of the alloy A and 21 kg of the alloy B are mixed together to form a new alloy. What will be the ratio of zinc and tin in the new alloy?**- 2:1
- 1:2
- 2:3
- 1:1

Answer : Option D.

Alloy A : which weighted 7 kg has zinc & tin in ratio = 5 : 2 i.e Zinc in alloy A = 5 kg & tin in alloy A = 2kg

Alloy B : which weighted 21 kg has zinc & tin in ratio = 3 : 4 i.e Zinc in alloy A = 9 kg & tin in alloy A = 12kg

Hence, total Zinc : total tin = 14 : 14 = 1 : 1 So, answer is option D.**If A : B = 3 : 4 and B : C = 6 : 5, then C : A is**- 10;9
- 9:10
- 8:9
- 9:8

Answer : Option A.

A : B = 3 : 4 and B : C = 6 : 5,

Then C : A will be = A : B : C = 9 : 12 : 10

Hence, ratio of C : A = 10: 9.

Hence, answer is option A.