15. When 9a2 – 15a + 3 is subtracted from unity, the result is
- (A) 9a2 – 15a + 2
- (B) –9a2 + 15a – 2
- (C) 9a2 – 15a – 2
- (D) –9a2 – 15a – 2
14. The value of 3x2 – 5x + 3 when x = 1 is
- (A) 1
- (B) 0
- (C) –1
- (D) 11
13. What is the value of the expression a2 + b2 + 3ab at a = 1 and b = –2?
- (A) –2
- (B) –1
- (C) –3
- (D) 0
12. What is the value of the expression a3 + a2b + ab2 + b3 at a = 1 and b = –2?
- (A) –7
- (B) –8
- (C) –5
- (D) 10
11. What is the value of a2 + b2 + c2 – ab – bc – ca when a = – 2, b = 3 and c = 1?
- (A) 16
- (B) 9
- (C) 8
- (D) 12
10. What is the value of mn + np + pm at m = 1, n = –1 and p = 2?
- (A) –1
- (B) –10
- (C) –11
- (D) –12
9. What is the value of m3 + n3 + p3 – 3mnp at m = 1, n = –1 and p = 2?
- (A) 13
- (B) 12
- (C) 14
- (D) 15
8. Arjun bought a rectangular plot with length x and breadth y and then sold a triangular part of it whose base is y and height is z. What is the area of the remaining part of the plot?
- (A) 2(x + y) – yz
- (B) xy – (1/2)yz
- (C) y(x – 2)z
- (D) 2(x + y) – (1/2)yz
7. Amisha has a square plot of side m and another triangular plot with base and height each equal to m. What is the total area of both plots?
- (A) 2m2
- (B) m2 + m
- (C) (3/2)m2 + m
- (D) (3/2)m
6. A taxi service charges ₹8 per km and levies a fixed charge of ₹50. Write an algebraic expression for the above situation, if the taxi is hired for x km.
- (A) 8x + 50
- (B) 8(x – 1) + 50
- (C) 8 + 50x
- (D) 8x – 50
5. A wire is (7x – 3) metres long. A length of (3x – 4) metres is cut for use. How much wire is left?
- (A) 4x + 1
- (B) 4x – 1
- (C) –4x + 1
- (D) –4x – 1
4. A wire is (7x – 3) metres long. A length of (3x – 4) metres is cut for use. If this left out wire is used for making an equilateral triangle, what is the length of each side of the triangle so formed?
- (A) (4x + 1)/3
- (B) (4x – 1)/3
- (C) –(4x + 1)/3
- (D) (–4x – 1)/3
3. Rohan’s mother gave him ₹3xy2 and his father gave him ₹5(xy2 + 2). Out of this total money he spent ₹(10 – 3xy2) on his birthday party. How much money is left with him?
- (A) –13xy2
- (B) –11xy2
- (C) 11xy2
- (D) 13xy2
2. The sum of first n natural numbers is given by (n2/2) + (n/2). What is the sum of first 10 natural numbers?
- (A) 54
- (B) 55
- (C) 53
- (D) 52
1. The sum of first n natural numbers is given by (n2/2) + (n/2). What is the sum of natural numbers from 11 to 30?
- (A) 400
- (B) 409
- (C) 399
- (D) 401