NTSE SAT Sample Question Paper -3 **(Maths)**

**Q1**: The sides of a right triangle are a, a+d, a+2d with a and d both positive. What is the value of ratio a:d ?

(a) 1: 3

(b) 1:4

(c) 2:1

(d) 3:1

**Q2**: In a group of cows and hens, the number of legs was 14 more than twice the number of heads. the number of cows is:

(a) 5

(b) 7

(c) 12

(d) 14

**Q3**: Each edge of cube is increased by 50%. The percent increase in surface area of the cube will be:

(a) 50

(b) 125

(c) 150

(d) 300

**Q4**: Evaluate $(0.000343)^\frac{1}{3}$

(a) 7/100

(b) 100/7

(c) 7/10

(d) 10/7

**Q5**: A student was asked to multiply a given number by 4/5. By mistake he divided it by 4/5. His answer was 36 more than the correct answer. Find the given number.

(a) 80

(b) 60

(c) 36

(d) 63

**Q6**: A number is divisible by 3, if

(a) the last digit is 3

(b) the last digit is 6

(c) the last two digits are 3

(d) sum of digits is divisible by 3

**Q7**: A number lies between 1000 and 2000. On division by 2,3,4,5,6, 7 and 8 it leaves remainders 1,2,3,4,5,6 and 7 respectively. The number is:

(a) 1876

(b) 1778

(c) 1679

(d) 1654

**Q8**: 1400 men in a fortress have provisions for 28 days. After 3 days, 400 men leave the fortress. How long will the food last now?

(a) 35 days

(b) 32 days

(c) 30 days

(d) 28 days

**Q9**: In a parallelogram ABCD the ratio between angles $\angle A$ and $\angle B$ is 1:2. Find the $\angle A$ ?

(a) 60

(b) 90

(c) 90

(d) 180

**Q10**: The ratio of the volumes of cylinder and cone of equal radii and height is:

(a) 1:3

(b) 3:1

(c) 1:1

(d) 1:2

**Answers**:

1-d (Hint apply Pythagoras theorem and factorize the equation)

2-b

3-b (Hint: surface area of cube is $6d^2$

4-a

5-a

6-d

7-c (Hint: LCM of divisors is 840, hence 840x-1 represent the number. Find x. )

8-a

9-a

10-b