Aptitude Test Mathematics Quiz(BUKAT)

#1. Factorize 3a^2 – 11a + 6

(3a – 2)(a – 3)

(2a – 2)(a – 3)

(3a – 2)(a + 3)

(3a + 2)(a – 3)

(2a – 3)(a + 2)

#2. In a bag of oranges, the ratio of the good ones to the bad ones is 5:4. If the number of bad oranges in the bag is 36, how many oranges are there altogether?

81

72

54

45

49

#3. Solve the equation 3a + 10 = a^2

a = 5 or 2

a = -5 or 2

a = 10 or 2

a = 5 or -2

a = -5 or -2

#4. The nth term of a sequence is represented by 3 x 2^(2 – n). Write down the first three terms of the sequence

3/2, 3, 6

6, 3, 3/2

3/2, 3, 1/3

2/3, 3, 8/3

3/2, 0, 6

#5. Evaluate 3.0 x 10^1 – 2.8 x 10^-1, leaving answer I standard form

2 x 10^1

2 x 10^2

2.972 x 10^1

2.972 x 10^2

2.97 x 10^3

#6. Evaluate ½ + ¾ of 2/5 ÷1(3/5)

15/16

11/16

49/50

9(1/5)

31/2

#7. A piece of cloth was measured as 6.10m. if the actual length of the cloth is 6.35m, find the percentage error correct to 2 decimal places

30.50%

3.94%

15.00%

25.00%

39.30%

#8. p and q are two positive numbers such that p > 2q. Which of the following statements is true?

–p < -2q

–p > -2q

–q < -2p

q < 1/2p

p^2 < 2q^2

#9. A trader makes a loss of 15% when selling an article. Find the ratio of the selling price to the cost price

3:20

17:20

3:17

20:23

#10. Make S subject of the formula in V = K/(√(T-S))

S = T – (K/V)^2

S = (K/V)^2 – T

S = T – (V/K)^2

S= (T(V^2 – K^2))/V^2

S=T + (K/V)^2

#11. The side of a square is increased from 20cm to 21cm. Calculate the percentage increase in its area

2.5%

9.3%

10.0%

10.25%

#12. If 2x^2 + kx – 14 = (x + 2)(2x – 7), find the value of k

-3

5

9

11

12

#13. Find the equation whose roots are -2/3 and -1/4

12x^2 + 11x + 2 = 0

12x^2 – 11x + 2 = 0

x^2 + (11/12)x + 2 = 0

x^2 + (11/12)x – 2 = 0

12x^2 – 11x – 2 = 0

#14. Find x – y if 4x – 3y = 7 and 3x – 2y = 5

4

3

2

-2

-3

#15. Solve the inequality y – 3 < y/3

y > -9

y < 3

y < 4

y < 9

y < 9/2

#16. Given that (6x-y)/(x+2y)=2 find the value of x/y

3/8

5/8

4/5

5/4

8/4

#17. If the probability that an event will occur is p and the probability that it will not occur is q, which of the following is true?

p – q = 1

q – p = 0

p + q = 1

p + q = 0

p - q = 0

#18. Find the value of x which satisfies the equation 5(x – 7) = 7 – 2x

6

2

4

14

15

#19. The ages of three men are in the ratio 3:4:5. If the difference between the ages of the oldest and the youngest is 18 years, find the sum of the ages of the three men

45

72

108

216

100

#20. Evaluate log8/log1/4

2

-3/2

1/2

4

5

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