Admission
Question : Prakash Ltd. purchased assets worth Rs.2,20,000 and also took over the liabilities (creditors) of Rs.40,000 of Ajay Ltd. for a purchase consideration of Rs.1,92,000. Prakash
Ltd. paid the purchase consideration by issuing 12% debentures of Rs.100 each at a premium of 20%.
Amount of Net assets are ------
Option 1: Rs 2,20,000
Option 2: Rs 40,000
Option 3: Rs 1,80.000
Option 4: None of these
Correct Answer: Rs 1,80.000
Solution : Answer = Rs 1,80.000
Net Assets = Total Assets - Outsiders liabilities
= 2,20,000-40,000=1,80,000 Hence, the correct option is 3.
Question : Sulphuric acid is
Option 1: monobasic
Option 2: dibasic
Option 3: tribasic
Option 4: tetrabasic
Correct Answer: dibasic
Solution : The correct option is dibasic.
Sulphuric Acid is dibasic as it replaces two hydrogen atoms and has basicity 2. Its Chemical name is H2SO4. Oil of Vitriol and King of Chemical, are its other names, and its nature is Oily,
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed) (32, 24, 8) (48, 42, 6)
Option 1: (64, 62, 8)
Option 2: (56, 50, 6)
Option 3: (16, 14, 4)
Option 4: (18, 12, 4)
Correct Answer: (56, 50, 6)
Solution : Given: (32, 24, 8); (48, 42, 6) The pattern is – (32, 24, 8)→32 – 24 = 8 (48, 42, 6)→48 – 42 = 6
Let's check each option – First option: (64, 62, 8) = 64 – 62 = 2 ≠ 8
Question : Directions: Three Statements are given followed by Three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All curtains are doormats. Some doormats are pillows. Some pillows are bedsheets. Conclusions: I. Some bedsheets are doormats. II. Some bedsheets are curtains. III. Some pillows are doormats.
Option 1: Only conclusion III follows
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: All conclusions follow
Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some bedsheets are doormats – From the above diagram, it can be seen that there is no direct relation between bedsheets and
Question : If $a^2+b^2+c^2=14$ and $a+b+c=6$, then the value of $(ab+bc+ca)$ is:
Option 1: 11
Option 2: 12
Option 3: 13
Option 4: 14
Correct Answer: 11
Solution : Given: $a^2+b^2+c^2=14$ and $a+b+c=6$. On squaring the given equation $a+b+c=6$, we get, $(a+b+c)^2=6^2$ ⇒ $a^2+b^2+c^2+2(ab+bc+ca)=36$ Substitute the value of $a^2+b^2+c^2=14$ in the above equation and we get, ⇒ $14+2(ab+bc+ca)=36$ ⇒ $2(ab+bc+ca)=22$ ⇒ $(ab+bc+ca)=11$ Hence, the correct answer is 11.
Question : Directions: The bar graph below shows the percentage distribution of a company's total expenditures under various expense heads during 2013. Study the graph and answer the given question. If the expenditure on the advertisement is Rs. 2.10 crores, then the difference between the expenditures on transport and taxes is:
Option 1: Rs. 25 lakhs
Option 2: Rs. 35 lakhs
Option 3: Rs. 65 lakhs
Option 4: Rs. 95 lakhs
Correct Answer: Rs. 35 lakhs
Solution : Let the total expenditure be Rs. $100x$. According to the question, Interest on Advertisement = 15% $\frac{15}{100} \times 100x = 21000000$ $⇒15x=21000000$ $⇒x=14,00,000$ Total expenditure = 14,00,00,000 Expenditure on taxes = 10% = $\frac{10}{100} \times 14,00,00,000$ = 1,40,00,000 Expenditure on transport = $\frac{12.5}{100}
Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? (6)³ ÷ 12 + [(√81) x 4] – (28 ÷ 2) + 24 = 43
Option 1: 12 and 24
Option 2: 6 and 24
Option 3: 81 and 4
Option 4: 28 and 24
Correct Answer: 12 and 24
Solution : Given: (6)³ ÷ 12 + [(√81) x 4] – (28 ÷ 2) + 24 = 43
Interchanging the numbers as given in the options – First option: 12 and 24 (6)³ ÷ 24 + [(√81) x 4] – (28 ÷ 2) + 12
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