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# Simplification Questions

Home > Quantitative Aptitude > Simplification > General Questions
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What is the unit's digit of 21^3 *21^2*34^7*46^8*77^8 ?

A4

B8

C6

D2

Answer: Option A

Explanation:

Here is no explanation for this answer

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What is the value of ( (x^2012 + x^2011 +.........+ x+1)^2 - x^2012) / (x^2011 +x^2010..........+x+1)

Ax^2011 +x^2010 ........+x+1

Bx^2012 +x^2011...........+x+1

Cx^2013 + x^2012 .......+ x +1

Dx^2010+x^2009........+x+1

Answer: Option C

Explanation:

Here is no explanation for this answer

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If pq=28 where p and q are whole numbers then which of the following will be (p2 - q2)?

A32

B83

C783

Dcannot be determined.

Answer: Option C

Explanation:

Solution: pq=28

So possible factors of 28 are (1,28) (7,4) (14,2)

Now going for option verification with the factors we get 28^2-1^2 = 783 hence option c is the answer.

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what is vale of a if a is integer?
1. a^4=1
2. a^3+1=0

A-1

B1

Ccan not be determined

DNone of these

Answer: Option A

Explanation:

a^3+1=0=> a^3=-1

if a^3 is -1 then a must be (-1)^3=-1
(-1)^4 = 1
=> a=-1.

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If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of 'a' in 2 ^ a = a ^ 3 ?

A-2

B-1

C0

D1

Answer: Option D

Explanation:

2^a = 2*2 + a ......(i)
=> a^3 = 2*a + 3 .....(ii)
=> 4 + a = 2a + 3
=> a=1.

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Company A rented a truck $1000 per month. company B purchased the same type of truck for$35000.in addition company B paid $120 monthly maintenance charges. What is relative cost to the competing company for this type of truck after 6 years of operation. ARs. 28,360 BRs. 28,860 CRs. 26,860 DNone of these Answer: Option A Explanation: A's total cost to be spent for 6 years= 6*12*1000 = Rs 72,000 B's total cost + monthly maintenance = 35000+(6*12*120) = Rs 43,640 Relative cost= 72000-43640 = Rs. 28,360 Workspace NA SHSTTON 2 Solv. Corr. 3 Solv. In. Corr. 5 Attempted 0 M:0 S Avg. Time 17 / 86 Choose the correct option. As a mean encouraging company employee to use public transportation,employee is offer a$0.60 per side discount bus fare. John has spend $30000 per week from monday to friday.How much cost pay after the discount? A$29,998

B$29,994 C$28,994

D$29,999 Answer: Option B Explanation: Employee is offered discount per side =$0.60.
So both side total disccount = $0.60*2 =$1.20
So, for 5 days = 1.20*5= $6 Total amout = (30000-6) =$29994

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In a normal 5-day work week, each of 12 employees produces 300 items per day-last week, 1/3 of the employees were absent from work for 2/5 of the days in the week. how many total items were produced last week?

A18000

B14400

C6000

D15600

E16,200

Answer: Option D

Explanation:

1 employee produces 300 items per day
1/3 of the employees were absent for 2/5 days of last week.
=> 4 employees were absent for 2 days.
Items produced by them in 3 days = 300*3*4 = 3600
Items produced by other employees = 8*5*300 =12000
Total items produced = 12000+3600 = 15600

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An Office used three types of envelopes: small,medium and large. They used 80 small envelopes. The no.of Medium envelopes used was 5 times, the no.of small envelopes plus 5/20 of the number of envelopes. The no.of.large envelopes was equals to the no.of small envelopes plus 5/20 of the no.of medium envelope. Altogether, How many envelope did they use?

A830

B960

C280

D680

E360

Answer: Option B

Explanation:

Lets the total no. of envelopes = x
No. of small envelopes = 80
No. of medium envelopes = [5*80+5/20*x] = [400+5/20*x]
No. of large envelopes = [80 +5/20(400+5/20*x)] = [180+25/400*x]
Sum of small, medium and large envelopes = x
=> 80 + 400+5/20*x + 180+25/400*x = x
=> 660 + 5/16*x = x
=> 11/16*x = 660
=> x = 960

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Which of the following values of 'n' satisfies the in-equality n2 - 24n + 143 < 0?

An < 11

Bn > 13

C11 < n < 13

D11 > n > 13

ENone of these

Answer: Option C

Explanation:

n^2 - 24n + 143 < 0
=> (n-11)(n-13) < 0
=> 11 < n < 13

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