1. A' and 'B' complete a work togather in 8 days.If 'A' alone can do it in 12 days.Then how many day 'B' will take to complete the work?
Answer: 24 days
Explanation:A & B one day work = 1/8
A alone one day work = 1/12
B alone one day work = (1/8 - 1/12) = ( 3/24 - 2/24)
=> B one day work = 1/24
so B can complete the work in 24 days.
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2. A discount dealer professes to sell his goods at cost price but uses a weight of 960 gms for a kg weight. Find his gain %?
Answer: this is invalid order
Explanation:Gain% = [(error *100) / (true value-error)]%
= [(40 * 100) / (1000 - 40)]% = 25/6%
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Aricent
3. In how many ways the word ENGINEERING can be arranged so that no vowel come together?
Answer:
Explanation:Total no. of ways ENGINEERING can be arranged is
E=3, N=3, G=2, I=2, R=1
=11!/(3!*3!*2!*2!) => 277200
No. of ways vowels come together
Vowels ==> (eieei)ngnrng =>
EIEEI an be considered as 1 letter ... so 1!
NGNRNG = 6!
EIEEI can be arranged as 5!/(3!*2!)
NGNRNG can be arranged as 6!/(3!*2!)
So (1!+6 !)*5!/(3!*2!*3!*2!) = 4200
So no. of ways vowels not come together = 277200 - 4200 = 273000
Ans : 273000
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MindTree HCL Technologies Aricent
4. At what rate perscent per annum of simple interest, will a sum of money double itself in 12 years?
Answer:
Explanation:S.I=(PNR)/100
P=initial amount
Here S.I=P
but sum of the amount only double
so
P=(P*N*12)/100
so
N=8 1/3
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MindTree HCL Technologies Aricent
5. A beats B by 20metres ,B beats C by20 metres in a 100 m race .By how much A beats C?
Answer:
Explanation:A : B = 100 : 80
B : C = 100 : 80
A : C = (A/B * B/C)= (100/80 * 100/80)= (100/64)
Therefore A beats C by = (100-64) = 36metres.
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MindTree HCL Technologies Aricent
6. The probability that a number selected at random from the first 10 natural numbers is prime,is
Answer:
Explanation:NUMBER OF PRIME NO B/W 1 TO 10 IS :2,3,5,7
TOTAL PRIME NUMBERS =4
THEREFORE PROBALILITY=4/10=2/5
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MindTree HCL Technologies Aricent
7. the two numbers (23__)^32 and (12__)^ 33 has 6 in the last digit. What is the missing digit?
Answer:
Explanation:As last digit in all powers of nos with unit digit 6 is 6.
Hence answer is 6.
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MindTree HCL Technologies Aricent