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41

NIELIT 2022 Feb Scientist D - Section D: 5
If we multiply a fraction by itself and divide the product by its reciprocal, the fraction thus obtained is $15 \frac{5}{8}.$ The original fraction is : $2 \frac{1}{2}$ $3 \frac{1}{2}$ $\frac{8}{125}$ $\frac{125}{8}$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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42

NIELIT 2022 Feb Scientist D - Section D: 6
Income of $\text{A}$ and $\text{B}$ are in the ratio $4:7$ and their spending is in the ratio $6:11.$ If $\text{A}$ saves one third of his income, then the ratio of their savings will be : $12:19$ $11:19$ $3:5$ $10:19$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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43

NIELIT 2022 Feb Scientist D - Section D: 13
If $(0.0256) \div 0.064 \times (0.4)^{8} = (0.4)^{x} \times 0.16,$ the value of $x$ is : $5$ $6$ $7$ $4$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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44

NIELIT 2022 Feb Scientist D - Section D: 14
In a right angled triangle, the circum-centre of the triangle lies: inside the triangle. outside the triangle. on one vertex. on the mid-point of the hypotenuse.

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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45

NIELIT 2022 Feb Scientist D - Section D: 15
$\text{A, B}$ and $\text{C}$ can do a piece of work in $24, 30$ and $40$ days respectively. They began the work together but $\text{C}$ left $10$ days before completion of the work. In how many days was the work done ? $11$ days $11.5$ days $12.5$ days $12$ days

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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46

NIELIT 2022 Feb Scientist D - Section D: 16
A position number when decreased by $4$ is equal to $21$ times the reciprocal of the number. The number(s) is/are : $3$ $7$ $3$ and $-7$ $-3$ and $7$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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47

NIELIT 2022 Feb Scientist D - Section D: 17
Select the correct combination of mathematical signs to replace $^{*}$ signs and to balance the following equation : $18 * 2 * 5 * 4 = 10$ $\times \div +$ $+ \times \div$ $\div + – $ $\div \times +$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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48

NIELIT 2022 Feb Scientist D - Section D: 18
The highest score in an inning was $\frac{3}{12}$ of the total score and the next highest was $\frac{3}{12}$ of the remainder. These scores differed by $27$ runs. What was the total score in the inning ? $242$ $288$ $432$ $439$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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49

NIELIT 2022 Feb Scientist D - Section D: 19
If a car driver divides a distance into $3$ equal parts and travels the three parts with speeds of $48, 54$ and $72$ km/hr, respectively. The average speed for the whole journey is : $54 \; \text{km/hr}$ $56.3 \; \text{km/hr}$ $58.3 \; \text{km/hr}$ $60 \; \text{km/hr}$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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50

NIELIT 2022 Feb Scientist D - Section D: 20
The sum of the seven numbers is $254.$ The average of first three is $25$ and that of the last three is $44.$ The fourth number is : $40$ $47$ $45$ $48$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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51

NIELIT 2022 Feb Scientist D - Section D: 21
By selling $25$ kg of rice, a trader gains the selling price of $5$ kg of rice. The gain of the trader in $\%$ is : $12.5 \%$ $20 \%$ $25 \%$ $33.3 \%$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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52

NIELIT 2022 Feb Scientist D - Section D: 22
If $\sec \theta + \tan \theta = \sqrt{3},$ then the positive value of $\sin \theta$ is : $\frac{\sqrt{3}}{2}$ $\frac{1}{2}$ $\frac{1}{\sqrt{3}}$ $\sqrt{3}$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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53

NIELIT 2022 Feb Scientist D - Section D: 23
A person travels a certain distance at $5 \; \text{km/hr}$ and reaches $10$ min late. If he travels at $6 \; \text{km/hr}$, he reaches $10$ min earlier. The distance he has to travel is : $6 \; \text{km}$ $7.2 \; \text{km}$ $8 \; \text{km}$ $10 \; \text{km}$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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54

NIELIT 2022 Feb Scientist D - Section D: 24
If $+$ stands for division; $\times$ stands for addition; $-$ stands for multiplication; $\div$ stands for subtraction, which of the following is correct ? $15 \div 5 \times 2 – 6 + 3 = 28$ $15 \times 5 + 2 – 6 \div 3 = 56.5$ $15 + 5 – 2 \div 6 \times 3 = 3$ $15 – 5 + 2 \times 6 \div 3 = 41$ $1$ $2$ $3$ $4$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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55

NIELIT 2022 Feb Scientist D - Section D: 25
If the ratio of speed of doing work of three persons is $2:3:7,$ what is the ratio of time taken by these people to do the same amount of work ? $2 : 14 : 21$ $21 : 14 : 6$ $6 : 14 : 21$ $21 : 14 : 2$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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56

NIELIT 2022 Feb Scientist D - Section D: 26
A $15 \; \text{km}$ long road can be made by $20$ men in $18$ days. What is the length of the road that can be made by $15$ men in $12$ days ? $6 \; \text{km}$ $6.5 \; \text{km}$ $7.5 \; \text{km}$ $8 \; \text{km}$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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57

NIELIT 2022 Feb Scientist D - Section D: 27
Two arcs of lengths $a \; \text{cm}$ and $b \; \text{cm}$ subtend angles $60^{\circ}$ and $90^{\circ}$ at the centre of a circle respectively. The relation between $a$ and $b$ is : $b = \sqrt{2a}$ $3b = 2a$ $3a = 2b$ $a = \sqrt{2b}$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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58

NIELIT 2022 Feb Scientist D - Section D: 28
The average of the three numbers $x, y$ and $z$ is $48. x$ is greater than the average of $y$ and $z$ by $9.$ The average of $y$ and $z$ is greater than $y$ by $2.$ Then the difference of $x$ and $z$ is : $2$ $6$ $7$ $8$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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59

NIELIT 2022 Feb Scientist D - Section D: 29
If $60 \%$ of $(x-y) = 30 \%$ of $(x+2y),$ then what percent of $x$ is $y$ ? $10 \%$ $15 \%$ $20 \%$ $25 \%$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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60

NIELIT 2022 Feb Scientist D - Section D: 30
The number lying between $900$ and $1000,$ which when divided by $38$ and $57$ leaves a remainder $21$ in each case, is : $912$ $921$ $933$ $943$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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61

NIELIT 2022 Feb Scientist D - Section C: 1
A bought an article and spent $\text{Rs. 110}$ on its repair. He then sold it to $\text{B}$ at $20 \%$ profit, $\text{B}$ sold it to $\text{C}$ at a loss of $10 \%$ and $\text{C}$ sold it for $\text{Rs. 1188}$ ... is the amount for which $\text{A}$ bought the article? $\text{Rs. 850}$ $\text{Rs. 950}$ $\text{Rs. 930}$ $\text{Rs. 890}$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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62

NIELIT 2022 Feb Scientist D - Section C: 2
In a survey of $100$ students, it was found that $50$ used the college library, $40$ had their own library and $30$ borrowed books of these, $20$ used both the college library and their own, $15$ used their own library and borrowed ... and $10$ used the college library and borrowed books. How many students used all the three sources of books ? 30 28 20 25

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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63

NIELIT 2022 Feb Scientist D - Section C: 3
The distance between two stations $\text{A}$ and $\text{B}$ is $450 \; \text{km}$. A train starts from $\text{A}$ and moves towards $\text{B}$ at an average speed of $15 \; \text{km/h} $. Another train starts from $\text{B, 20}$ minutes earlier than ... will the two trains meet? $180 \; \text{km}$ $320 \; \text{km}$ $190 \; \text{km}$ $260 \; \text{km}$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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64

NIELIT 2022 Feb Scientist D - Section C: 4
The rates of simple interest in two banks $\text{A}$ and $\text{B}$ are in the ratio $5: 4$. A person wants to deposit his total savings in two banks in such a way that he receives equal half yearly interest from both. He should deposit the savings in banks $\text{A}$ and $\text{B}$ in the ratio : $2: 5$ $4: 5$ $5: 2$ $5: 4$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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65

NIELIT 2022 Feb Scientist D - Section C: 5
A clock gaining $3$ min every hour was synchronised at midnight with a clock losing $2$ min every hour. How many minutes the clock (losing time) will be behind at eleven in the following morning ? $11 \; \text{min}$ $55 \; \text{min}$ $22 \; \text{min}$ $33 \; \text{min}$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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66

NIELIT 2022 Feb Scientist D - Section C: 6
In a village the current birth rate per thousand is $55$ whereas corresponding death rate is $34$ per thousand. The net growth rate in terms of population increase will be : $0.021 \%$ $0.0021 \%$ $21 \%$ $2.1 \%$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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67

NIELIT 2022 Feb Scientist D - Section C: 7
If an article is sold at $8 \%$ profit instead of $8 \%$ loss, it would have brought $\text{Rs. 12}$ more. Find the cost price of the article : $\text{Rs. 75}$ $\text{Rs. 72}$ $\text{Rs. 70}$ $\text{Rs. 60}$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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68

NIELIT 2022 Feb Scientist D - Section C: 8
By selling $33$ meters of cloth, one gains the selling price of $11$ meters. Find the gain percent : $20 \%$ $40 \%$ $50 \%$ $22 \%$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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69

NIELIT 2022 Feb Scientist D - Section C: 9
Gold is $19$ times as heavy as water and copper $9$ times as heavy as water. In what ratio should the metals be mixed so that the mixture may be $15$ times as heavy as water ? $3: 2$ $9: 5$ $2: 3$ $7: 5$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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70

NIELIT 2022 Feb Scientist D - Section C: 10
What largest number of five digits is divisible by $99$ ? $99999$ $99981$ $99909$ $99990$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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71

NIELIT 2022 Feb Scientist D - Section C: 11
The average score of boys in an examination of a school is $71$ and that of girls is $73.$ The average score of the school in that examination is $71.8$. Find the ratio of the number of boys to the number of girls that appeared in the examination : $2: 2$ $4: 2$ $3: 2$ $1: 2$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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72

NIELIT 2022 Feb Scientist D - Section C: 12
$12$ children take $16$ days to complete a work which can be completed by $8$ adults in $12$ days. $16$ adults started working and after $3$ days $10$ adults left and $4$ children joined them. How many days will it take them to complete the remaining work? $6$ $8$ $4$ $3$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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73

NIELIT 2022 Feb Scientist D - Section C: 13
In an engineering college the average salary of all engineering graduates from Mechanical trade is $\text{Rs. }2.45$ lacs per annum and that of the engineering graduates from electronics trade is $\text{Rs. }3.56$ lacs per annum. The ... . Find the least number of Electronics graduates passing out from the institute : $43$ $59$ $67$ Cannot be determined

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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74

NIELIT 2022 Feb Scientist D - Section C: 14
The sum of first $20$ odd counting numbers is : $20$ $100$ $400$ $313$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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75

NIELIT 2022 Feb Scientist D - Section C: 18
$\text{Rs. } 25000$ is borrowed at compound interest at the rate of $3 \%$ for the first year, $4 \%$ for the second year and $5 \%$ for the third year. Find the amount to be paid after $3$ years : $28119$ $27300$ $26780$ $29650$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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76

NIELIT 2022 Feb Scientist D - Section C: 19
The population of bacteria culture doubles every $2 \text{ min}$. Approximately, how many minutes will it take for the population to grow from $1000$ to $500,000$ bacteria? $10$ $12$ $14$ $18$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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77

NIELIT 2022 Feb Scientist D - Section C: 20
$\textbf{Question (No. 80 - 82)}$ are based on the pie chart given below : Share of Revenue obtained from each type (by capacity) of connection sold by $\text{VSNL}$ out of total revenue of $\text{VSNL}$ from sales of connections (for the year $2021$) ... $128 \; \text{Kbps}$ connections in $2021$ ? $1.07$ $1.38$ $1.26$ $1.14$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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78

NIELIT 2022 Feb Scientist D - Section C: 21
$\textbf{Question (No. 80 - 82)}$ are based on the pie chart given below : Share of Revenue obtained from each type (by capacity) of connection sold by $\text{VSNL}$ out of total revenue of $\text{VSNL}$ from sales of connections (for the year ... the total number of connections ? $\text{Rs. 13125}$ $\text{Rs. 12260}$ $\text{Rs. 14000}$ None of the above

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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79

NIELIT 2022 Feb Scientist D - Section C: 22
$\textbf{Question (No. 80 - 82)}$ are based on the pie chart given below : Share of Revenue obtained from each type (by capacity) of connection sold by $\text{VSNL}$ out of total revenue of $\text{VSNL}$ from sales of connections (for the year $2021$) Total ... increase in the same from $2020$ to $2021$ ? $36.36 \%$ $33.33 \%$ $28.56 \%$ $23.21 \%$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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80

NIELIT 2022 Feb Scientist D - Section C: 23
$\textbf{These questions (83-88)}$ are based on the table given below which represents the percentage growth in the volume of sales of five brands of motor cars across the years mentioned and the projected increase for the period $2021-2026$ ... many of the given brands had sales of more than $1,65,000$ in $2011$ ? $2$ $4$ $3$ $5$

Lakshman Patel RJIT asked in Quantitative Aptitude Jul 22

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