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Consider the following statements: 1. When the number of members (n) and joints (j) are such that the equation n = (2j — 3) is satisfied, the framed structure is said to be a perfect structure. 2. In a redundant frame, the number of members is less than that required for a perfect frame. 3. If, in a framed structure, the number of members provided is more than that required for a perfect frame, it is called as a deficient frame. Which of the above statements is/are correct ? (a) (b) (c) (d) 
If in a pin-jointed plane frame (m + r) > 2 j (where m is number of members, r is reaction components and j is number of joints), then the frame is
If in a pin-jointed plane frame (m + r) > 2j, then the frame is
(Where ‘m’ is number of members, ‘r’ is reaction components and ‘j’ is number of joints)
A rigid-jointed plane frame is stable and statically determinate if (where m is number of members, r is reaction components and j is number of joints)
A small and medium enterprise imports two components A and B from Taiwan and China respectively and assembles them with other components to form a toy. Components A contributes to 10% of production cost while components B contributes to 20% of production cost. Usually the company sells this toy at 20% above the production cost. Due to increase in the raw material and labour cost in both the countries ,component A became 20% costlier and components B became 40% costlier. Owing to these reasons the company increased its selling price by 15%. Considering that cost of other components does not change. What will be the profit percentage if the toy is sold at the new price?
In a club of 80 members, 10 members play none of the games Tennis, Badminton and Cricket. 30 members play exactly one of these three games and 30 members play exactly two of these games. 45 members play at least one of the games among Tennis and Badminton, whereas 18 members play both Tennis and Badminton. The number of Cricket playing members is:
Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is
If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by
A line of 12 cm length is perpendicular to profile plane and the least distance from this line to profile plane is 6 cm. This is at a distance of 4 cm from the vertical plane and 5 cm from the horizontal plane. What is distance from the point on line far away from the profile plane to profile plane?
The lengths of members BC and CE in the frame shown in the figure are equal. All the members are rigid and lightweight, and the friction at the joints is negligible. Two forces of magnitude Q > 0 are applied as shown, each at the mid-length of the respective member on which it acts. Which one or more of the following members do not carry any load (force)?