The shaded area represents

• A. x ≤ 0, y ≤ 0, 2y + 3x ≤ 6
• B. x ≥ 0, y ≥ 3, 3x + 2y ≥ 6
• C. x ≥ 2, y ≥ 0, 3x + 2y ≤ 6
• D. x ≥ 0, y ≥ 0, 3x + 2y ≥ 6

A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of assembly

• A. 378 ways
• B. 462 ways
• C. 840 ways
• D. 924 ways

A sounding tuning fork is brought near the open end of a pipe containing air and the loudness of the sound is observed to increase. This observation is due to

• A. an echo
• B. resonance
• C. interference
• D. reverbration

Deficit budget means that government’s

• A. Government expenditure is equal to its revenue
• B. Planned expenditure is more than the estimated income
• C. Planned income and expenditure target cannot be achieved
• D. Expenditure is less than estimated revenue

By selling some crates of soft drinks for N600.00, a dealer makes a profit of 50%. How much did the dealer pay for the drinks?

• A. N1,200.00
• B. N900.00
• C. N450.00
• D. N400.00

The main organic product named when bromine water is added to but-1-ene is

• A) 1-bromobutane
• B) 2-bromobutane-1-ol
• C) 1-bromobutan-2-ol
• D) 2-bromobutan-2-ol

Which of the following compounds determines the octane rating of petrol?

• A. 1,2,3 - trimethyl pentane
• B. 2,3,5 - trimethyl octane
• C. 2,3,5 - trimethyl pentane
• D. 2,2,4 - trimethyl pentane

The probability of picking a letter T from the word OBSTRUCTION is

• A. 1/11
• B. 2/11
• C. 3/11
• D. 4/11

The addition of water to calcium oxide leads to

• A) a physical change
• B) a chemical change
• C) the formation of mixture
• D) an endothermic change

The short run can be defined as the period of time during which

• A. All inputs are fixed
• B. At least one of the firm's input is fixed
• C. At least two inputs are fixed
• D. All inputs are variable