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Last year, there were three sections in a competitive exam. Out of them 33 students cleared the cut-off in Section A, 34 students cleared the cut-off in Section B and 32 students cleared the cut-off in Section C. 10 students cleared the cut-off in section A and section B, 9 cleared the cut-off in section B and section C and 8 cleared the cut-off in section A and section C. The number of students who cleared only one section was equal and was 21 for each section. How many students cleared all the three sections?
Which of the following defects in timber is caused by growth of layers over wounds left after the branches been cut off?
Statements : All branches are flowers. All flowers are leaves.

Conclusions :
I. All branches are leaves.
II. All leaves are branches.
III. All flowers are branches.
IV. Some leaves are branches.
If a + b + c + d = 4, then find the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
If a + b + c + d = 4, then the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
In each question below is given a statement numbered I, II and III. An assumption is something supposed or taken for granted. You have to consider the following assumption and decide which of the assumption is implicit in the statement. Statement: The June 2018 quarter results of Infosys reflect that the investors waiting for the company to perform as good, if not better, than its largest peer Tata Consultancy Services (TCS) may have to wait a little longer. Infosys, the country’s second-largest software exporter reported slower sequential growth in revenue and profit than TCS for the June quarter (Q1). It also lagged on the fronts of employee attrition and growth in the banking, financial services, and insurance (BFSI) vertical.  Assumptions: I. On the positive side, Infosys continued to add large clients – four in the above $100-million billing category compared with the previous quarter. It continued to retain guidance of 6-8% revenue growth for FY19 while retaining the operating margin band of 22-24%. II. In the near term, the stock performance of TCS is likely to overshadow Infosys given the difference in their growth trajectories. III. The growth momentum of Infosys has slowed relative to TCS. The year-on-year growth in trailing 12-month (TTM) revenue of Infosys in each of the four quarters up to the June 2018 quarter has lagged TCS after leading in the previous five quarters.
Read the given statements and conclusions carefully and decide which of the conclusions logically follow(s) from the statements. Statements: Regularity is a cause for a success in exams. Some irregular students pass in the examinations. Conclusions: I. All irregular students pass in exams. II. Some irregular students fail in the exam.
True breeding Drosophila flies with curved wings and dark bodies were mated with true breeding short wings and tan body Drosophila, The F1 progeny was observed to be with curved wings and tan body. The F1 progeny was again allowed to breed and produced flies of the following phenotype, 45 curved wings tan body, 15 short wings tan body, 16 curved wings dark body and, 6 short wings dark body. The mode of inheritance is
Which of the following regions of operation are mainly responsible for heating of the transistor under switching operation? 1. Saturation region 2. Cut-off region 3. Transition from saturation to cut-off 4. Transition from cut-off to saturation
The value of the expression $$\frac{{{{\left( {a - b} \right)}^2}}}{{\left( {b - c} \right)\left( {c - a} \right)}} + $$   $$\frac{{{{\left( {b - c} \right)}^2}}}{{\left( {a - b} \right)\left( {c - a} \right)}} + $$    $$\frac{{{{\left( {c - a} \right)}^2}}}{{\left( {a - b} \right)\left( {b - c} \right)}}$$   = ?