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Question : X Ltd. issued 20,000 shares of Rs. 10 each payable as follows:
On application Rs. 6 and balance on allotment. Applications were received for 32,500 shares and pro rata allotment was made to the applicants of 25,000 shares. All the shareholders have paid the amount due up to allotment except X the allottee of 4,000 shares.
(i) Calculate amount due but not paid by X.
(ii) Calculate allotment money received later.
Option 1: Rs. 10,000 and Rs. 40,000
Option 2: Rs. 10,000 and Rs. 50,000
Option 3: Rs. 5,000 and Rs. 45,000
Option 4: Rs. 10,000 and Rs. 60,000
Correct Answer: Rs. 10,000 and Rs. 40,000
Solution :
Answer = Rs. 10,000 and Rs. 40,000
Total No. of shares applied by X = 25,000/20,000 x 4,000 = 5,000 shares.
(i)
Calculation of amount due but not paid on allotment by X:
Rs.
Application money received from X (5,000 × Rs. 6)
30,000
Less: Application money due on shares allotted (4,000 × Rs. 6)
24,000
Excess application money adjusted on allotment
6,000
Allotment money due on shares (4,000 x Rs. 4)
16,000
Less: Excess application money adjusted on allotment
Allotment amount due but not received from X
10,000
(ii)
Calculation of allotment money received later
Total allotment money due (20,000 × Rs. 4)
Less: Allotment money already received
80,000
on application stage (5,000 × Rs. 6)
30.000
50.000
Less: Allotment amount due but not received from X [as per (i)]
Allotment money received
40,000
Question : A and B were partners in a firm sharing profits and losses in the ratio of equally . With effect from 1st January 2019 they agreed to share profits and losses 2:1 Individual partner’s gain or sacrifice due to change in the ratio will be :
Option 1: Gain by $A \frac{1}{6}$; Sacrifice by $B \frac{1}{6}$
Option 2: Gain by $A \frac{1}{2}$; Sacrifice by $B \frac{1}{2}$
Option 3: Sacrifice by $A \frac{1}{2}$; Gain by $B \frac{1}{2}$
Option 4: Sacrifice by $A \frac{1}{2}$; Gain by $B \frac{1}{2}$
Correct Answer: Gain by $A \frac{1}{6}$; Sacrifice by $B \frac{1}{6}$
Solution : Answer = Gain by $A \frac{1}{6}$; Sacrifice by $B \frac{1}{6}$
Sacrificing Ratio = old ratio - new ratio
A = 1/2 - 2/3 = 3-4/6 = -1/6 (gain)
B = 1/2 - 1/3 = 3-2/6 = 1/6 (sacrifice) Hence, the correct option is 1.
Question : According to the 2011 Census, which among the following states has the highest population?
Option 1: Bihar
Option 2: Tamil Nadu
Option 3: Uttar Pradesh
Option 4: Maharashtra
Correct Answer: Uttar Pradesh
Solution : The correct answer is Uttar Pradesh.
Uttar Pradesh is the most populated State in India according to the Census of 2011. The population of Uttar Pradesh is 16.51% of the total population of India. The population density of Uttar Pradesh is 828 per square km.
Hello,
Below are some books from which you can start your GATE preparation:
•How to Prepare for Quantitative Aptitude by Arun Sharma
•Verbal and Non-Verbal Reasoning by R.S. Aggarwal
•Higher Engineering Mathematics by B.S. Grewal
•An Insight into Chemical Engineering by M. Subbu
•Heat Transfer by JP Holman
•Geophysics by Telfrod
•Machine Design by VB Bhandari
I hope this helps,
Thank you
To prepare for CLAT effectively, start with the subject you find most challenging, often Legal Reasoning or English , and focus on building a strong foundation. For English, read Word Power Made Easy by Norman Lewis and newspapers like The Hindu for comprehension practice. For Current Affairs and GK, follow Manorama Yearbook and GKToday. Use Legal Awareness and Legal Reasoning by A.P. Bhardwaj for Legal Reasoning and R.S. Aggarwal for Logical Reasoning and Quantitative Aptitude. Dedicate daily time to reading newspapers, solving comprehension-based questions, and practicing mock tests weekly to improve speed and accuracy. Analyze your performance in mocks to work on weak areas, and maintain consistency with 6–8 hours of study per day.
To start your CLAT preparation, it's great that you're thinking ahead. Along with your school studies, you can begin by focusing on the subjects that are part of the CLAT syllabus. The main subjects to study for CLAT are English, General Knowledge, Mathematics, Legal Aptitude and Logical Reasoning. You can start by getting hold of some good CLAT preparation books that cover these subjects. There are many popular books available in the market that can help you with your preparation such as quantitative aptitude by RS Aggarwal, Word power made easy, logical reasoning, etc. Also, prepare with the help of previous year papers to get an idea of the type of questions you need to prepare for.
Hope this helps,
Question : Study the given bar graph and answer the question that follows. The bar graph shows the distance (in km) between two cities and the speeds (in km/hr) of a person to cover the respective distances. What is the approximate average speed of the person while travelling from city A to city F?
Option 1: 28.55 km/hr
Option 2: 23.60 km/hr
Option 3: 21.78 km/hr
Option 4: 19.47 km/hr
Correct Answer: 21.78 km/hr
Solution : Use the formula, $\text{Average speed}=\frac{\text{Total distance}}{\text{Total Time taken}}$ The time needed to go from city A to city B $=\frac{80}{16}=5$ hours The time needed to go from city B to city C $=\frac{120}{40}=3$ hours The time needed to go from city C to city D $=\frac{90}{20}=4.5$ hours The time needed to go from city D to city E $=\frac{60}{30}=2$ hours The time needed to go from city E to city F $=\frac{42}{12}=3.5$ hours The total distance from City A to City F = 80 + 120 + 90 + 60 + 42 = 392 km The total time to cover city A-F = 5 + 3 + 4.5 + 2 + 3.5 = 18 hours The approximate average speed of the person while travelling from city A to city F $=\frac{392}{18}=21.78$ km/hr Hence, the correct answer is 21.78 km/hr.
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