Phrases Number System Previous Year Question Paper and Solution with PDF

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Phrases Previous Year Questions (PYQs)

Phrases Number System PYQ

Qus : 1Phrases PYQ 2021

The number (2217)₈ is equivalent to

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Phrases Previous Year PYQPhrases NIMCET 2021 PYQ

Solution

(2217)8 =(010010001111)8

Pair of 4 Bits

1111= F

1000=8

0100=4

(010010001111)8 =(48F)16

Qus : 2Phrases PYQ 2021

The binary multiplication 00*11 will give

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Phrases Previous Year PYQPhrases NIMCET 2021 PYQ

Solution

0*3=0

Qus : 3Phrases PYQ 2020

The binary equivalent of (234.125)₁₀?

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Phrases Previous Year PYQPhrases NIMCET 2020 PYQ

Solution

Qus : 4Phrases PYQ 2020

Determine the octal equivalent of (432267)₁₀?

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Phrases Previous Year PYQPhrases NIMCET 2020 PYQ

Solution

Qus : 5Phrases PYQ 2020

One Exabyte is equal to …

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Phrases Previous Year PYQPhrases NIMCET 2020 PYQ

Solution

Qus : 6Phrases PYQ 2020

The logic XOR operation of (4AC0)₁₆ and (B53F)₁₆ results

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Phrases Previous Year PYQPhrases NIMCET 2020 PYQ

Solution

Qus : 7Phrases PYQ 2023

Equivalent of the decimal number (25.375)10 in binary form

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 8Phrases PYQ 2016

A family has several children. Each boy in this family has as many sisters as brothers, but each girl has twice as many brothers as sisters. How many brothers and sisters are there?

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Phrases Previous Year PYQPhrases NIMCET 2016 PYQ

Solution

Qus : 9Phrases PYQ 2016

A Group of 630 children are seated in n rows for a group photo session. Each row contains three less children than the row in front of it. Which one of the following number of rows is not possible?

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Phrases Previous Year PYQPhrases NIMCET 2016 PYQ

Solution

Qus : 10Phrases PYQ 2016

405 sweets were distributed equally among a group of children such that the number of sweets received by each child is one-fifth of the number of children. The number of children in the group is

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Phrases Previous Year PYQPhrases NIMCET 2016 PYQ

Solution

Qus : 11Phrases PYQ 2016

What is the missing number in the series 4, 7, 11, 18, 29, 47, __________, 123, 199?

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Phrases Previous Year PYQPhrases NIMCET 2016 PYQ

Solution

Qus : 12Phrases PYQ 2016

A bus starts from its depot filled to seating capacity. It stops at a point A where 1/6th of the passengers alight and 10 board the bus. At point B, 1/5th of the passengers alight and 3 board the bus. At point C which is the last stop, all the 55 passengers alight. The capacity of the bus is

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Phrases Previous Year PYQPhrases NIMCET 2016 PYQ

Solution

Qus : 13Phrases PYQ 2016

If all the 6's are replaced by 9's, then the algebraic sum of all the numbers from 1 to 100 (both inclusive)

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Phrases Previous Year PYQPhrases NIMCET 2016 PYQ

Solution

Qus : 14Phrases PYQ 2022

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

The first number = (1657 - 6) = 1651

Second number = (2037 - 5) = 2032

Taking the HCF of two numbers 1651, 2032 we get 127.

So, if we divide 1657 and 2037 by 127 we will get remainders 6 and 5 respectively.

Qus : 15Phrases PYQ 2022

Suppose the largest n bit number requires ‘d’ digits in decimal representation. Which of the following relations between ‘n’ and ‘d’ is approximately correct

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

n bits binary number required d -decimal digits.

So,

${10}^d{\gt}{2}^n$

Take on both side

$\log _{10}({10}^d)\gt{\log _{10}({2}^n)}^{}$

$d{\gt}n\log _{10}(2)$

Qus : 16Phrases PYQ 2022

‘Floating point representation' is used to represent

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 17Phrases PYQ 2019

Each of A, B and C is a different digit among 1 to 9. How many different values of the sum of A, B and C are possible, if ABA X AA=ACCA ?

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 18Phrases PYQ 2016

Consider the equation (43)_x= (y3)₈ where x and y are unknown. The number of possible solutions is

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Phrases Previous Year PYQPhrases NIMCET 2016 PYQ

Solution

Qus : 19Phrases PYQ 2021

Choose the correct option for the remainder when X = 1! + 2! + 3! + ...........+ 100! is divided by 24

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Phrases Previous Year PYQPhrases NIMCET 2021 PYQ

Solution

Qus : 20Phrases PYQ 2021

Insert the missing number: 16, 33, 65, 131, 261, ?

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Phrases Previous Year PYQPhrases NIMCET 2021 PYQ

Solution

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