List of top Questions asked in NCHMCT JEE

Solve: \( 2.8 - (7.4 \div 3.7 \times 5) \times 2 \)
The monthly salaries of A and B together amount to ₹ 40000. A spends 82% of his salary and B, 94% of his salary. If their savings are the same, then the salary of A is:
What is the least number that must be added to 6412 to get a perfect square?
The sum of two numbers is 240. If the numbers are in the ratio 3 : 5, then the sum of their LCM and HCF is:
A man sold two articles for ₹4000 each with no profit no loss in the whole transaction. If he sold one article at a gain of 25%, then the other article has been sold at a loss of:
A and B can do a work in 120 days, B and C can do it in 72 days while A and C can do it in 90 days. In how many days can C alone do the work?
Joseph started a business by investing ₹ 100000. After 2 months, B joined him by investing ₹ 90000. After 4 more months, C joined them by investing ₹ 100000. The ratio of their shares in the profit at the end of the year is:
The ratio of present ages of A, B, and C is 3 : 4 : 5. After 6 years, the average age of all the three will be 26 years. What was the difference between the ages of B and C, 4 years ago?
If \( a^4 + \frac{1}{a^4} = 322 \), then the value of \( a - \frac{1}{a} \) is:
In an election between two candidates, one of them got 62% of the total votes polled and won by 432 votes. What is the total number of votes polled?
In a class of 60 students, 60% are boys. The average of marks of the boys is 68 and that of the girls is 72. What are the average marks of the whole class?
If the difference between 58% and 76% of a number is 198, then the difference between 82% and 46% of the same number will be:
Two trains having lengths 680 m and 570 m are running towards each other on parallel tracks with speeds of 80 km/h and 70 km/h, respectively. In how many seconds will they be able to cross each other?
The sum of all possible values of \( K \) such that a 5-digit number 90K68 is divisible by 8 will be:
What is the HCF of \( \frac{8}{5}, \frac{6}{8}, \frac{4}{25} \)?
In a clearance sale, goods were sold at a reduction of 20%. Sarika purchased a saree for ₹984 in the clearance sale. The usual price of the saree was:
A and B, working together, can do a work in 8 days. If A alone can do the work in 12 days, then in how many days can B alone do 25 percent of the work?
If the mean of the observations 6, 16, \( (K + 26) \), \( (2K - 3) \), and 10 is 14, then the value of \( \frac{K^2 + 1}{2} \) is:
The area of a rectangle having sides in the ratio 1 : 4 is equal to the area of a square of side 8 cm. The perimeter of the rectangle (in cm) is:
Choose the word which best expresses the meaning of the given word: ACCOLADE
Choose the word which best expresses the meaning of the given word: BARTER
Choose the word which best expresses the meaning of the given word: \textit{DEPLETE}
Choose the word which best expresses the meaning of the given word: YARDSTICK
Choose the word which best expresses the meaning of the given word: \textit{RECTIFY}
Out of the four alternatives, choose the word which best expresses the meaning of the given word: METICULOUS