1. “Going by the _________ that many hands make light work, the school _______ involved all the students in the task.” The words that best fill the blanks in the above sentence are

2. “Her _______ should not be confused with miserliness; she is ever willing to assist those in need.” The word that best fills the blank in the above sentence is

3. Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys?

4. A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m^{2} of area. What is the area of the original rectangle in square meters?

5. A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number?

6. For integers a, b and c, what would be the minimum and maximum values respectively of a + b + c if log |a| + log |b| + log |c| = 0?

7. Given that a and b are integers and a + a^{2} b^{3} is odd, which one of the following statements is correct?

8. From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?

9. Consider the following three statements:

(i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly. Which of the following statements can be logically inferred from the above statements?

10. For the complete combustion of graphite and diamond in oxygen individually, the standard enthalpy change (ΔH^{o} _{298 } ) values are -393.5 kJ mol^{-1} and -395.4 kJ mol^{-1} , respectively. Then, the ΔH^{o} _{298 } for the conversion of graphite into diamond is

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11. For a 4s orbital of hydrogen atom, the magnetic quantum number (m_{l} ) is

12. Hybridization of xenon in XeF_{2 } is

14. Among B-H, C-H, N-H and Si-H bonds in BH_{3} , CH_{4} , NH_{3 } and SiH_{4} B, respectively, the polarity of the bond which is shown INCORRECTLY is

15. Among the following statements,

(i) [NiCl_{4} ]^{2-} (atomic number of Ni = 28) is diamagnetic (ii) Ethylamine is a weaker Lewis base compared to pyridine (iii) [NiCl_{2} {P(C_{6} H_{5} )_{3} }_{2} ] has two geometrical isomers (iv) Bond angle in H_{2} O is greater than that in H_{2} S, the CORRECT one is

16. In [Mn(H_{2} O)_{6} ]^{2+} (atomic number of Mn = 25), the d-d transitions according to crystal fieldtheory (CFT) are

17. The standard reduction potential (E^{o} ) for the conversion of Cr_{2} O_{7} ^{2-} to Cr^{3+} at 25 ^{o} C in an aqueous solution of pH 3.0 is 1.33 V. The concentrations of Cr_{2} O_{7} ^{2-} and Cr^{3+} are 1.0 × 10^{-4} M and 1.0 × 10^{-3} M, respectively. Then the potential of this half-cell reaction is (Given : Faraday constant = 96500 C mol^{-1} , Gas constant R = 8.314 J K^{-1} mol^{-1} )

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