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Subject:Competition

Answer the question based on the information given below:

Cities A and B are in different time zones. A is located 3000 km east of B. The table below describes the schedule of an airline operating non-stop flights between A and B. All the times indicated are local and on the same day.

Departure

Arrival

City

Time

City

Time

B

8:00 am

A

3:00 pm

A

4:00 pm

B

8:00 pm

Assume that planes cruise at the same speed in both directions. However, the effective speed is influenced by a steady wind blowing from east to west at 50 km per hour.

Question: What is the plane’s cruising speed in km per hour?

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A.) 700
B.) 600
C.) 550
D.) Cannot be determined.
Answer is option : C
Subject:Competition

Answer the question based on the information given below:

Cities A and B are in different time zones. A is located 3000 km east of B. The table below describes the schedule of an airline operating non-stop flights between A and B. All the times indicated are local and on the same day.

Departure

Arrival

City

Tim e

City

Tim e

B

8:00 am

A

3:00 pm

A

4:00 pm

B

8:00 pm

Assume that planes cruise at the same speed in both directions. However, the effective speed is influenced by a steady wind blowing from east to west at 50 km per hour.

Question: What is the time difference between A and B?

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A.) 1 Hr 30 Min
B.) 2 Hr
C.) 2 Hr 30 Min
D.) 1 Hr
Answer is option : D
Subject:Competition

Rahim plans to draw a square JKLM with point O on the side JK but is not successful. Why is Rahim unable to draw the square?

A:  The length of OM is twice that of OL.

B:  The length of OM is 4 cm.

 

Above question is followed by two statements A and B. Indicate your response based on the following directives.

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A.) Questions can be answered using A alone but not using B alone.
B.) Question can be answered using B alone but not using A alone.
C.) Question can be answered using A and B together, but not using either A or B alone.
D.) Question cannot be answered even using A and B together.
Answer is option : A
Subject:Competition

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

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A.) Questions can be answered using A alone but not using B alone.
B.) Question can be answered using B alone but not using A alone.
C.) Question can be answered using A and B together, but not using either A or B alone.
D.) Question cannot be answered even using A and B together.
Answer is option : A
Subject:Competition

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 met ABC’s requirements?
A: The inner diameter of the tank is at least 8 meters.
B: The tank weights 30,000 kg when empty, and is made of a material with density of 3 gm/cc.

 

Above question is followed by two statements A and B. Indicate your response based on the following directives.

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A.) Questions can be answered using A alone but not using B alone.
B.) Question can be answered using B alone but not using A alone.
C.) Question can be answered using A and B together, but not using either A or B alone.
D.) Question cannot be answered even using A and B together.
Answer is option : B
Subject:Competition

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, W1, of Section I is smaller than the average weight W2, of the 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  W2 and that of Section II becomes W1. What is the weight of Poonam?
A: W2 – W1 = 1.0 .
B: Moving Deepak from Section II to I (without any move I to II) makes the average weights of the two sections equal.

Above question is followed by two statements A and B. Indicate your response based on the following directives.

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A.) Questions can be answered using A alone but not using B alone.
B.) Question can be answered using B alone but not using A alone.
C.) Question can be answered using A and B together, but not using either A or B alone.
D.) Question cannot be answered even using A and B together.
Answer is option : C
Subject:Competition

How many pairs of positive integers m, n satisfy (1/m) + (4/n) =(1/12), where, ‘n’ is an odd integer less than 60?

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A.) 4
B.) 6
C.) 7
D.) 3
Answer is option : D
Subject:Competition

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?

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A.) Over Rupees 13 but less than Rupees 14
B.) Over Rupees 7 but less than Rupees 8
C.) Over Rupees 22 but less than Rupees 23
D.) Over Rupees 18 but less than Rupees 19
Answer is option : D
Subject:Competition

Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and 50 Misos. In how many ways can you pay a bill of 107 Misos?

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A.) 18
B.) 16
C.) 15
D.) 17
Answer is option : A
Subject:Competition

A function ƒ(x) satisfies ƒ(1) = 3600 and ƒ(1) + ƒ(2) + ... + ƒ(n) = n2  f(n), for all positive integers
n > 1. What is the value of ƒ(9)?

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A.) 240
B.) 200
C.) 80
D.) 120
Answer is option : C
Subject:Competition

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

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A.) 24 Years
B.) 21 Years
C.) 23 Years
D.) 22 Years
Answer is option : A
Subject:Competition

Consider the set S = {2, 3, 4, ……, 2n + 1}, where ‘n’ is a positive integer larger than 2007. Define
X as the average of the odd integers in S and Y as the average of the even integers in S. What is the value of X – Y?

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A.) 0
B.) (1/2)n
C.) 2008
D.) 1
Answer is option : D


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