If a + b = 33, and a - b = 37, find the value of (a + b)2.
A group of numbers and symbols is coded using letter codes as per the codes given below and the conditions that follow. Study the given codes and conditions and answer the question that follows.
Note: If none of the conditions apply, then codes for the respective number/symbol to be followed directly as given in the table.
| Number/Symbol | 3 | # | 8 | $ | 7 | & | 6 | * | 4 | ^ | 2 |
| Code | B | S | D | F | G | H | J | K | L | P | R |
Conditions:
i) If the first element is a symbol and the last a number, the codes for these two (the first and the last elements) are to be interchanged.
ii) If the first element is an odd number and the last an even number, the first and last elements are to be coded as ©.
iii) If both the second and third elements are perfect squares, then the code of the second element will be the code for the third element.
What will be the code for the following group?
849@
A group of numbers and symbols is coded using letter codes as per the codes given below and the conditions that follow. Study the given codes and conditions and answer the question that follows.
Note: If none of the conditions apply, then codes for the respective number/symbol are to be followed directly as given in the table.
| Number/Symbols | 3 | # | 4 | $ | 7 | & | 6 | * | 8 | ^ | 2 |
| Code | H | A | J | B | K | C | L | D | M | E | N |
Conditions:
i) If the first element is a symbol and the last a number, the codes for these two (the first and the last elements) are to be interchanged.
ii) If the first element is an odd number and the last an even number, the first and last elements are to be coded as ©.
iii) If both the second and third elements are perfect cubes, the code of the second element will be the code of third element.
What will be the code for the following group?
3$72
Jitesh and Kamal can complete a certain piece of work in 5 and 18 days, respectively. They started to work together, and after 3 days, Kamal left. In how many days will Jitesh complete the remaining work?
\( \frac{11}{6} \)
\( \frac{13}{6} \)
\( \frac{7}{6} \)
\( \frac{25}{6} \)