# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 649 - 656 of 931

Access detailed explanations (illustrated with images and videos) to 931 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

## Question 649

Edit

MCQ▾

If then =

### Choices

Choice (4)Response
a.2
b.1
c.3
d.4

## Question 650

Edit

MCQ▾

If, and, then

### Choices

Choice (4)Response
a.85
b.120
c.60
d.144

## Question 651

Edit

### Question

MCQ▾

The number of ways of writing the number in the form (a, b are integers)

### Choices

Choice (4)Response
a.1
b.Infinitely many
c.0
d.Finitely many

## Question 652

Edit

### Question

MCQ▾

A class starts at 10 a. m. and lasts till 1.27 p. m. four periods are held during this interval. After every period, 5 minutes are given free to the students. The exact duration of each period is ________

### Choices

Choice (4)Response
a.48 minutes
b.51 minutes
c.42 minutes
d.53 minutes

## Question 653

Edit

### Question

MCQ▾

The product of all the solutions of , is ________.

### Choices

Choice (4)Response
a.4
b.
c.16
d.

## Question 654

Edit

### Question

MCQ▾

The number of positive integers k for which the equation has an integer solution for x is ________

### Choices

Choice (4)Response
a.2
b.3
c.5
d.8

## Question 655

Edit

### Question

MCQ▾

The median of the observation 30,91,0, 64,42,80,30,5, 117,71 is ________

### Choices

Choice (4)Response
a.52.5
b.51
c.53
d.52

## Question 656

Edit

### Question

MCQ▾

In the figure y = 30˚, then ∠DOE is________ (Assume X = Y)

### Choices

Choice (4)Response
a.150˚
b.30˚
c.60˚
d.90˚