EASY
CAT
IMPORTANT
Earn 100

The last digit in the expansions of the three-digit number and are and , respectively. What can be said about the value of ?
(a)
(b)
(c)
(d)

50% studentsanswered this correctly

Important Questions on Number Systems
EASY
CAT
IMPORTANT
Amrit, a naughty boy, watches an innings of Sachin Tendulkar and acts according to the number of runs he sees Sachin scoring. The details of these are given below.
run | Place an orange in the basket. |
runs | Place a mango in the basket. |
runs | Place a pear in the basket. |
runs | Remove a pear and a mango from the basket. |
One fine day, at the start of the match, the basket is empty. The sequence of runs scored by Sachin in that innings are given as: . At the end of the above innings, how many more oranges were present inside the basket compared to mangoes?

EASY
CAT
IMPORTANT
In the famous Bel Air Apartments in Ranchi, there are three watchmen meant to protect the precious fruits in the campus. However, one day a thief got in without being noticed and stole some precious mangoes. On the way out however, he was confronted by the three watchmen. The first watchman asked the thief to part with rd of the mangoes and more. The second watchman also asked the thief to part with rd of the remaining mangoes and more. The third watchman asked the thief to part with th of the mangoes and more. As a result, the thief had no mangoes left. What was the number of mangoes he had stolen?

EASY
CAT
IMPORTANT
A -digit number is formed by writing the first "" natural numbers in front of each other as , and so on. Find the remainder when this number is divided by .

EASY
CAT
IMPORTANT
A test has questions. mark is awarded for a correct answer, while there is a negative penalty of for a wrong answer, and a negative penalty of for an unattempted question. What is the number of questions answered correctly, if a student has scored a net total of marks?

EASY
CAT
IMPORTANT
A test has questions. mark is awarded for a correct answer, while there is a negative penalty of for a wrong answer, and a negative penalty of for an unattempted question. If it is known that a student has left questions unanswered, and the student has scored a net total of marks, then the number of correct answers is _____.

EASY
CAT
IMPORTANT
Three mangoes, four guavas, and five watermelons cost . Ten watermelons, six mangoes, and nine guavas cost . What is the cost of six mangoes, ten watermelons, and four guavas?

HARD
CAT
IMPORTANT
From a positive integer "", subtract . Take the reciprocal of the result to get the value of "". Then, which of the following is necessarily true?

EASY
CAT
IMPORTANT
The cost of four mangoes, six guavas, and sixteen watermelons is , while the cost of seven mangoes, nine guavas, and nineteen watermelons is . What is the cost of one mango, one guava, and one watermelon?
