Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eight-member joint family is nearest to

1. 1 years

2. 25 years

3. 24 years

4. 23 years

5. 22 years

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ABC Corporation is required to maintain at least 400 Kilolitres of water at all times in its factory, in order to meet safety and regulatory requirements. ABC is considering the suitability of a spherical tank with uniform wall thickness for the purpose. The outer diameter of the tank is 10 meters. Is the tank capacity adequate to meet ABC's requirements A: The inner diameter of the tank is at least 8 meters. B: The tank weighs 30,000 kg when empty, and is made of a material with density of 3 gm/cc.

1. 1

2. 2

3. 3

4. 4

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Consider integers x, y and z. What is the minimum possible value of x2 + y2 + z2 A: x + y + z = 89B: Among x, y, z two are equal.

1. 1

2. 2

3. 3

4. 4

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The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and II, each with 50 students. The average weight, WI, of section I is smaller than the average weight, WII, of Section II. If the heaviest student, say Deepak, of Section II, is moved to section I, and the lightest student, say Poonam of section I is moved to section II, then the average weights of the two sections are switched, i.e., the average weight of Section I becomes WII and that of Section II becomes WI. What is the weight of PoonamA: WII - WI = 1.0 B: Moving Deepak from Section II to I (without any move from I to II) makes the average weights of the two sections equal.

1. 1

2. 2

3. 3

4. 4

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A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount

1. Over Rupees 22 but less than Rupees 23

2. Over Rupees 18 but less than Rupees 19

3. Over Rupees 4 but less than Rupees 5

4. ver Rupees 13 but less than Rupees 14

5. Over Rupees 7 but less than Rupees 8

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Which of the following best describes an + bn for even n

1. q(1/2)n (p + q)

2. q(1/2)n (p + q)(1/2)n

3. q(pq)(1/2)n-1 (p + q)(1/2)n

4. q(pq)(1/2)n-1 (p + q)

5. pq(1/2)n-1 (p + q)

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I. II.

1. x > y

2. x ≥ y

3. x < y

4. x ≤ y

5. x = y or the relationship cannot be established

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x > y

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of 30% of 3420 = ()2x 2

1. (81)2

2. 7

3. 9

4. 81

5. 49

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1898 ÷ 73 × 72 = ()2 × 13

1. -256

2. 256

3. 12

4. 144

5. -16

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1. 42

2. 1024

3. 1764

4. (1024)2

5. 32

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