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Problem
ABCD is a square of side 10 cm. PQRS is a square inside ABCD. PQBA, QRCB, RSDC, and SPAD are identical trapezia, each of area 16 cm2. What is the height of each trapezium if PQ is parallel to AB and SR is parallel to DC?

A.   3 cm C.   2 cm
B.   1.8 cm D.   1.2 cm

 

2016-nov-math-trapezia_3d.jpg

 

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Example 04 | Age Related Problem in Algebra

Problem
Albert is as old as Bryan will be when Albert is twice as old as Bryan was when Albert's age was half the sum of their present ages. Bryan is as old as Albert was when Bryan was half the age he will be ten years from now. How old are Albert and Bryan?
 

albert-and-bryan.jpg

 

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Example 03 | Age Related Problem in Algebra

Problem
Mary is 24 years old. Mary is twice as old as Anna was when Mary was as old as Anna is now. How old is Anna now?
 

mary-and_anna.jpg

 

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Problem
From where he stands, one step toward the cliff would send the drunken man over the edge. He takes random steps, either toward or away from the cliff. At any step his probability of taking a step away is 2/3, of a step toward the cliff 1/3. What is his chance of escaping the cliff?

A.   2/27 C.   4/27
B.   107/243 D.   1/2

 

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Problem 917 | Combined Axial and Bending

Problem 917
For the structure in Problem 916, calculate the maximum compressive stress in bar ABC if its cross section is 200 mm square.
 

916-fbd-member-abc.gif

 

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Problem 916 | Combined Axial and Bending

Problem 916
For the structure shown in Figure P-916 is hinged to fixed supports at A and E. Compute the maximum compressive stress developed in bar BDE if its cross section is 200 mm square. Neglect the weights of the members.
 

916-given-structural-assembly.gif

 

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Problem 915 | Combined Axial and Bending

Problem 915
For the structure in Problem 914, compute the maximum tensile stress developed in bar CB.
 

914-two-bar-structure.gif

 

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Problem 914 | Combined Axial and Bending

Problem 914
The structure shown in Figure P-914 is hinged to fixed is hinged to fixed supports at A and C. Assume that the pin connections at A, B, and C are frictionless. The bars are each 4 in. by 4 in. in section. Compute the maximum compressive stress developed in bar AD.
 

914-two-bar-structure.gif

 

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Problem 913 | Combined Axial and Bending

Problem 913
Solve Problem 912 if P = 6 kips and F = 10 kips.
 

912-rectangular-link.gif

 

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Inner Circle Reading of the Double Vernier of a Transit

Problem
Figure P-SF01 is a double vernier of a transit and the dashed line indicate the two sets of coincident lines. What is the reading of the inner circle?
 

01-008-vernier-circle-reading.gif

 

A.   175° 42' C.   184° 18'
B.   193° 8' D.   181° 3'

 

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