# Aptitude [TCS Placement]: Sample Questions 98 - 100 of 174

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## Question 98

Aptitude

### Question

MCQ▾A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product went up by 540. What was the raised product?

### Choices

Choice (4) | |
---|---|

a. | 1040 |

b. | 1720 |

c. | 780 |

d. | 1590 |

### Answer

d.### Explanation

- Let two numbers be x and 35.
- Instead of multiplying the number x by 35, person multiplies it with 53.
- Result of this mistake is that product is raised by 540.
- Writing in equation form,

- The product will be

## Question 99

Aptitude

Edit

### Write in Short

Short Answer▾A student ′ s average (arithmetic mean) test score on 4 tests is 78. What must be the students score on a 5^{th} test for the students ′ average score on the 5^{th} test to be 80?

### Explanation

- A student՚s average score for 4 tests is 78.
- Let the total score of student in 4 subjects be x

- Adding 5
^{th}test marks, average of student gets increased by two, i.e.. - Let the score obtained by student in 5
^{th}test is y.

- So, student has scored 88 marks in 5
^{th}test.

## Question 100

Aptitude

### Explanation

- Dividing 310 (base 10) by 6, quotient will be 51 and remainder will be 4
- Dividing 51 by 6, quotient is 8 and remainder is 3
- Dividing 8 by 6, quotient is 1 and remainder is 2
- Dividing 1 by 6, quotient is 0 and remainder is 1
- Reversing the order of remainders, equivalent of 310 (base 10) number will be 1234 (base 6) .
- So, equivalent base 6 number is 1234 for decimal number 310.