## Numerical Ability

#### Numerical Ability

1. A wire would enclose an area of 1936 m2, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?

1. Side of the square = 44 m
Long piece = 44 × 3 = 132 m and short piece = 44 m
Hence, equating these values with the perimeter of square and circle respectively we will get the required answer as 1243 m2.

##### Correct Option: C

Side of the square = 44 m
Long piece = 44 × 3 = 132 m and short piece = 44 m
Hence, equating these values with the perimeter of square and circle respectively we will get the required answer as 1243 m2.

1. Forty students watched films, A, B and C over a week. Each student watched either only one film or all three. Thirteen students watched film A, sixteen students watched film B and nineteen students watched film C. How many students watched all three films?

1. 13 + 16 + 19 = 48 > 40
Hence, 4 students would have watched all three due to which there is a double counting of 4 × 2 = 8.

##### Correct Option: C

13 + 16 + 19 = 48 > 40
Hence, 4 students would have watched all three due to which there is a double counting of 4 × 2 = 8.

1. A contract is to be completed in 52 days and 125 identical robots were employed, each operational for 7 hours a day. After 39 days, five-seventh of the work was completed. How many additional robots would be required to complete the work on time, if each robot is now operational for 8 hours a day?

1. 125 × 7 × 39 = 5x/7
∴ x or total work = 25 × 39 × 49
Hence, [125 + y(additional robot)] × 8 × 13 = 25 × 39 × 49 × 2/7
Thus, the given data is insufficient to answer the question.

##### Correct Option: D

125 × 7 × 39 = 5x/7
∴ x or total work = 25 × 39 × 49
Hence, [125 + y(additional robot)] × 8 × 13 = 25 × 39 × 49 × 2/7
Thus, the given data is insufficient to answer the question.

1. An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the foilowing are the observations from the four trials:
(1) HTHTHT
(2) TTHHHT
(3) HTTHHT
(4) HHHT ________.
Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

1. NA

##### Correct Option: B

NA

1. The value of the expression
 1 + 1 + 1 is - 1 + loguVW 1 + logvWU 1 + logwUV

1. NA

NA