Directions (1 – 3): Study the following table carefully and answer the questions that follow:
The table shows the discount % given by stores on different items. The Market Price of any article on all stores is same. Some values are missing. Answer the questions on the basis of given table and information in question.Article Store 1 Store 2 Store 3
A 15% 8% 20%
B 27% 16% -
C 16% - 32%
D - - 20%
E 10% 12% 8%
Question. 1.
If the average SP of article A by in all the stores is Rs 3598, Find the MP of article A.
A. 4500 Rs.
B. 3500 Rs.
C. 4000 Rs.
D. 4200 Rs.
E. None of these.
Ans. D.
Solution:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirNBrxDjpjX2FqfuR89IXdk_o9iotx0MuGi-ZMq9cjYqtsE1OF8h3wGxLySNshv2DbUwHtdnAT1ppx29-kTFwV7FLBH3Ii60dB9lEPwVBtIVX0ULwKfKBugXhYO1m4aufnmpECTjWmcvE/s1600/8.PNG)
A. 4500 Rs.
B. 3500 Rs.
C. 4000 Rs.
D. 4200 Rs.
E. None of these.
Ans. D.
Solution:
Question. 2.
Store 2 earned 10% profit by selling Article E. If CP of all articles is same for Article E, find the ratio of profits by Store 1 and 3 of Article E.
A. 2:3
B. 4:5
C. 4:3
D. 5:6
E. None of these.
Ans. D.
Solution:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-wYid-DkZzHNif2kL2CvacZLIyQ1nEf5KfbIzWh_gA1Zy6B9pVcd5Ng6OVf19y6y3LA2LMQ-y0tCmjSSkEDkiNjwQTRh3mo8LlLWcQPwg6L46PYGYn1tZbzL1cmKtyGGN9ivmpvXc_SI/s1600/9.PNG)
A. 2:3
B. 4:5
C. 4:3
D. 5:6
E. None of these.
Ans. D.
Solution:
Question. 3.
Average SP of article B by stores 1 and 3 is Rs 3060, by stores 2 and 3 is Rs 3280. Find the SP of article B by store 3.
A. 30%
B. 20%
C. 25%
D. 15%
E. None of these.
Ans. B.
Solution:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCewbiJTjocNTkBOw0XFcuq51QL3-QOnTCpb82LtuqpBz8N8YB6_dEVM2PwWogpClfraJapWCte3PIaWwlKki8VPk-KnXQve7pxFSgmwMLpBV0fuWsFW1sPsP1L_vhCr1FZIe30hjFEsA/s400/10.PNG)
Directions (Q. 4-7): Study the following information carefully and answer the questions given below:
A number or alphabet arrangement machine when given an input line of numbers or alphabets rearranges them following a particular rule in each step. The following is an illustration of input and various steps of rearrangement.![](data:image/png;base64,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)
And Step IV is the last step of the rearrangement as the desired arrangement is obtained. As per rules followed in the above steps, find out in each of the questions the appropriate step for the given input.
![](data:image/png;base64,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)
A. 30%
B. 20%
C. 25%
D. 15%
E. None of these.
Ans. B.
Solution:
Directions (Q. 4-7): Study the following information carefully and answer the questions given below:
A number or alphabet arrangement machine when given an input line of numbers or alphabets rearranges them following a particular rule in each step. The following is an illustration of input and various steps of rearrangement.
And Step IV is the last step of the rearrangement as the desired arrangement is obtained. As per rules followed in the above steps, find out in each of the questions the appropriate step for the given input.
Question. 4.
Which of the following will be the last Step?
A. 5.3
B. 2
C. 1
D. 2.5
E. 3
Ans. C.
Solution:
Step IV: 1
A. 5.3
B. 2
C. 1
D. 2.5
E. 3
Ans. C.
Solution:
Step IV: 1
Question. 5.
If in the second step the second digit of the every number is added and multiply by 4 then which will be the resultant value?
A. 15
B. 44
C. 30
D. 25
E. 49
Ans. B.
Solution:
= (2+4+5)4
= 44
A. 15
B. 44
C. 30
D. 25
E. 49
Ans. B.
Solution:
= (2+4+5)4
= 44
Question. 6.
What is the sum of numbers in step III?
A. 35
B. 22
C. 14
D. 23
E. 29
Ans. D.
Solution:
=12+11
=23
A. 35
B. 22
C. 14
D. 23
E. 29
Ans. D.
Solution:
=12+11
=23
Question. 7.
Which of the following will be Step II?
A. 72, 24, 35
B. 65, 30, 42
C. 69, 85, 25
D. 55, 15, 35
E. None of these.
Ans. A.
Solution:
Step II: 72, 24, 35
![](data:image/png;base64,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)
A. 72, 24, 35
B. 65, 30, 42
C. 69, 85, 25
D. 55, 15, 35
E. None of these.
Ans. A.
Solution:
Step II: 72, 24, 35
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