Model Paper Objective maths and Algebra

Model Paper Objective maths and Algebra
Mathematics Objective Type Questions With Answers,these are very useful for various exams which contain MCQ type Questions on Maths
1. If y – 1/3y =1/3 then the value of y(y – 1/3) is
(a) 1/3
(b) 1/4
(c) 1/5
(d) 1/6
Ans. (a)

2. If x2 - 11x + 1 = 0, then the value of x + 1/x is
(a) 10
(b) 11
(c) 12
(d) 13
Ans. (b)

3. If x — 2/x = 1 then the value of (x2+x+2)/x2 (1—x) is
(a) 2
(b) —1
(c) 0
(d) 1
Ans. (d)


4. If 2x + 1/3x = 5, then the va1ue of 5x/(6x2+20x+1) is
(a) 3/7
(b) 2/7
(c) 1/7
(d) 4/7
Ans. (c)

5. The value of expression a + b — a x a / a [a of 1/a] on simplifying is
(a) b
(b) a
(c) a2
(d) b2
Ans. (b)

6.The value of l—[1—1—(1—1 + x)]on simplifying is
(a) 2—x
(b) 1+x
(c) 1—x
(d) 2+x
Ans. (b)

7. If 2m — 1/2m = 2 then the value of m2 + 1/16m2 is
(a) 3/2
(b) 1/2
(c) 5/2
(d) 7/2
Ans. (a)

8. The number of square tiles required of size 20 cm to cover a square courtyard of area
64 m2 are
(a) 1598
(b) 1600
(c) 1605
(d) 1606
Ans. (b)

9. A businessman, by means of a false balance defrauds to an extent of 10% in buying goods and 10% in selling goods. Then, by how much percent does he gain?
(a) 21%
(b) 24%
(c) 19%
(d) 18%
Ans. (a)

10. Jayant sold two books at Rs 14 each. On one he gains 20% and on the other loses 20%. Then he made
(a) No profit no loss
(b) Lose is of 4%
(c) Gain of 1%
(d) None of these
Ans. (b)

11. In selling an article for Rs 76, a shopkeeper gains 52%. The gain by selling that for Rs 74 is
(a) 45%
(b) 48%
(c) 49%
(d) 50%
Ans. (b)

12. ‘A’ buys a pen for Rs 4 and sells it for Rs 5. He calculates his profit first as a percentage of the buying price then as a percentage of the selling price. The difference between these two is
(a) 20%
(b) 10%
(c) 5%
(d) 15%
Ans. (c)

13. The length of second diagonal in the above question is
(a) 19 cm
(b) 18 cm
(c) 17cm
(d) 16cm
Ans. (d)


14. The area of the trapezium is 312 cm2, then the distance between the parallel sides whose lengths are 21 cm and 27 cm respectively is
(a) 13cm
(b) 14cm
(c) 15cm
(d) 16cm
Ans. (c)

15. The measure of the angle between the internal and external bisectors of an angle is
(a) 60°
(b) 70°
(c) 80°
(d) 90°
Ans. (d)

16. Each of the base angle of an isosceles triangle is twice the vertical angle then the vertical angle is
(a) 35°
(b) 36°
(c) 37°
(d) 38°
Ans. (b)

17. The angle between the external bisectors of two angles of a triangle is 50° then the third angle is
(a) 75°
(b) 80°
(c) 85°
(d) 90°
Ans. (b)

18. If x = 2t and y = t/3 - 1then the value of t for which x = 2y is
(a) t = -3/2
(b) t = 3/2
(c) t = l/2
(d) t = 5/2
Ans. (a)

19. A can do a work in x days and B can do the same work in y days then the number of days taken by A and B together to complete the work are
(a) y/(x + y) Days
(a) x/(x + y) Days
(a) xy/(x + y) Days
(a) xy/(x - y) Days
Ans. (c)

20. If 125 x centimeter per second = (x + 7) km hour then the value of x is
(a) 4
(b) 3
(c) 2
(d) 1
Ans. (c)

21. The distance between the two parallel chords of length 8 cm and 6 cm in a circle of diameter 10 cm if the chords lie on the same side of the centre is
(a) 1cm
(b) 2cm
(c) 3cm
(d) 4cm
Ans. (a)

22. If x = b-c, y=c-a, z=a-b then the value of x2-y2 +z2 + 2xz is
(a) 2
(b) -1
(c) 0
(d) 1
Ans. (c)

23. If x2+y2-2x+6y+ 10=0, and x-3y= 10, then the value of x2 +y2 is
(a) 7
(b) 8
(c) 9
(d) 10
Ans. (d)

24. The HCF and LCM of 77, 99 and x are 11 and 3465 respectively, the greatest value of x is
(a) 55
(b) 56
(c) 57
(d) 58
Ans. (a)



25. If c2+c = -l then the value of c3- 1 is
(a) 1
(b) 0
(c) -1
(d) 2
Ans. (b)