C
INONU UNIVERSITY MATHEMATICS YÖS 2018
1. (301)4 = (122)4 + (1𝑎𝑏)4 ⟹ 𝑎 + 𝑏 = ? 4. (𝑛 + 1)! = 420 ⟹ 𝑛 = ?
(𝑛 − 1)!
A) 2 B) 3 C) 4 D) 5 E) 6
A) 16 B) 20 C) 24
D) 28 E) 32
2. 3 3
5. 𝑎 = −2 ⟹ 2𝑏 − 3𝑎 = ?
√𝑎 − √𝑎 − √𝑎 − ⋯ = √9 √9√9 … 3
𝑏 𝑎 𝑏
⟹ 𝑎 =? A) -5 B) -4 C) -3
D) 4 E) 5
A) 6 B) 12 C) 16
D) 27 E) 36
3. 6. If 2𝑎 = 3𝑏}, then which of the following is
3<𝑥< 4𝑏 = 5𝑐
5 ⟹ correct?
A) 𝑎 < 𝑏 < 𝑐 B) 𝑎 < 𝑐 < 𝑏
𝑥−3 𝑥−3 𝑥−5 C) 𝑐 < 𝑎 < 𝑏 D) 𝑏 < 𝑐 < 𝑎
A) − B) − C) −
𝑥−5 𝑥−1 𝑥−1
E) 𝑐 < 𝑏 < 𝑎
𝑥−3 𝑥−5
D) E)
𝑥−1 𝑥−3
1
C
INONU UNIVERSITY MATHEMATICS YÖS 2018
7. 3𝑥+𝑦 = 80! } ⟹ 𝑥 =? 10.
2𝑥+𝑦
3 = 81!
A) -4 B) -2 C) 2
D) 4 E) 5
𝐴 ∖ (𝐵⋂𝐶) =?
A) {1} B) {1,2} C) {1,5}
D) {1,6} E) {1,2,5}
8. 4
3 = 2 ⟹ 𝑥 =? 11. 0,16̅
1+ =?
1+
2
𝑥−2
0, ̅33
̅̅̅
3
A) B) 1
A) 3 B) 4 C) 5 D) 6 E) 7 2
2 1
C) D)
3 2
16
E)
33
9. If 3 workers finish 200 units of work in 5
days working 8 hours a day, how many
hours a day should 4 workers work to finish 12. (3 − 5) − [(2: 1) 1 − 1] = ?
300 units of work in 5 days? 2 4 4 4
4 3
A) 9 B) 8 C) 7 D) 6 E) 5 A) − B) −
5 4
1 1
C) − D)
4 4
3
E)
4
2
C
INONU UNIVERSITY MATHEMATICS YÖS 2018
16. If 𝑃(𝑥 − 1) = 2𝑥 3 − 2𝑥 2 + 3𝑥 + 4, what is
−3 −1 the remainder when 𝑃(𝑥) is divided by
13. 2−2 + 2
( −2 ) =? (𝑥 − 2)?
2 + 22
A) 49 B) 18 C) 7
3 2 D) -18 E) -49
A) B)
34 17
3 17
C) D)
17 3
34
E)
3
14. 3√(−3)3 − √(−3)2 17. 𝑓(𝑥) = 2𝑥 + 𝑚 ⟹ (𝑓𝜊𝑓𝜊𝑓)(𝑥) = ?
=?
3
√(−3)2 √(−3)2
A) 6𝑥 + 3𝑚 B) 6𝑥 + 𝑚
C) 8𝑥 + 𝑚 D) 8𝑥 + 3𝑚
A) -4 B) -2 C) 2 D) 4 E)6 E) 8𝑥 + 7𝑚
15. √4,4 + √1,1 + √9,9
=? 18. 𝑓(𝑥, 𝑦) = 𝑥 𝑦 − 𝑦 𝑥 ⟹ 𝑓(𝑓(3,1), 2) = ?
√1,1
A) 0 B) 1 C) 2 D) 3 E) 4
A) 14 B) 13 C) 9 D) 8 E)6
3
C
INONU UNIVERSITY MATHEMATICS YÖS 2018
19. 21.
If |AC|=|AB|,
[AD] is median,
[CE] is bisector, and
m(CEA)=124o ,
Then 𝛽 =?
(𝑔 ∘ 𝑓)(𝑥) = 𝑥 2 − 7𝑥 + 10 ⟹ 𝑔(3) = ?
A) 28° B) 34°
A) -2 B) 0 C) 2 D) 10 E) 40 C) 56° D) 68°
E) 124°
20. 1 + 4 cos2 𝑥 sin2 𝑥 + cos2 2𝑥 = ?
22.
A) 2 B) 1 + 2 cos2 2𝑥
C) 2 sin2 2𝑥 D) 0 Which of the following
is the equation of line d
E) 2 + cos2 2𝑥 in the figure?
A) 𝑥 + 𝑦 − 3 = 0
B) 𝑥 + 𝑦 − 4 = 0
C) 3𝑥 + 4𝑦 − 12 = 0
D) 4𝑥 + 3𝑦 − 3 = 0
E) 4𝑥 + 3𝑦 − 12 = 0
4
C
INONU UNIVERSITY MATHEMATICS YÖS 2018
23. 25.
ABCD is a trapezoid,
|𝐴𝐵| = 3𝑐𝑚,
|𝐷𝐶| = 7𝑐𝑚, } ⟹ 𝛼 = ?
𝐴(𝐴𝐵𝐶𝐷) = 20𝑐𝑚2 [𝐴𝐵]// [𝐷𝐸]
̂ ) = 120° } ⟹ 𝛼 = ?
𝑚(𝐴𝐵𝐶
A) 20° B) 30° ̂ ) = 100°
𝑚(𝐶𝐷𝐸
C) 45° D) 60°
E) 75° A) 20° B) 40° C) 100°
D) 120° E) 220°
24.
26.
|𝐴𝐵| = |𝐵𝐶|,
[𝐷𝐹] ⊥ [𝐴𝐶], } ⟹ 𝛼 = ?
̂ ) = 100°
𝑚(𝐷𝐵𝐶
[𝐵𝐴]// [𝐸𝐹]
A) 20° B) 30° ̂ ) = 135°
𝑚(𝐴𝐵𝐶
C) 40° D) 50° ̂ ) = 150°
𝑚(𝐵𝐶𝐷 ⟹ 𝑥 =?
E) 60° ̂ ) = 145
𝑚(𝐷𝐸𝐹 °
̂ ) = 2𝑥 }
𝑚(𝐶𝐷𝐸
A) 40° B) 45° C) 50°
D) 55° E) 110°
5
C
INONU UNIVERSITY MATHEMATICS YÖS 2018
27. The figure displays 30. 𝑧 = −2 + 𝑖 ⟹ |𝑧 4 | =?
the ABCD square
with a side length of
4 cm. The line A) 3 B) 5 C) 9 D) 25
segment [BF] is E) 36
tangent at the E point
to the hemicycle
with the O center.
What is the area of the shaded region [T] in
cm2?
A) 4 − 𝜋 B) 4 C) 6
D) 16 − 𝜋 E) 16 − 4𝜋
31. 𝑧2 − 1
𝑧 =1−𝑖 ⟹ =?
𝑧̅ − 2𝑖
28. 𝑙𝑜𝑔3 2 = 𝑎 ⟹ 𝑙𝑜𝑔6 4 = ?
2𝑎 𝑎 2𝑎 1 1 3
A) B) C) A) − 𝑖 B) − + 𝑖
1+𝑎 1+𝑎 1+2𝑎 2 2 2
1 3 1 3
𝑎 2+𝑎 C) − − 𝑖 D) + 𝑖
D) E) 2 2 2 2
2+𝑎 1+𝑎 1 3
E) − 𝑖
2 2
29. 𝑙𝑜𝑔4 [14 + 𝑙𝑜𝑔5 (6𝑥 + 1)] = 2 ⟹ 𝑥 =? 32. lim ln 𝑥 = ?
𝑥→1 𝑥−1
A) 6 B) 4 C) 3 D) 2 E) 1
A) -1 B) 0 C) 1 D) 2 E) ln 2
6
C
INONU UNIVERSITY MATHEMATICS YÖS 2018
33. Which of the following is the slope of the 36. 1 2 −1
tangent line of the curve 𝑓(𝑥) = ln(𝑥 2 + 𝐴 = [0 1 0 ] ⟹ 𝐴2 = ?
2𝑥 + 1) at 𝑥 = 1 point? 1 −2 0
A) 1 B) 2 C) 3 D) 4 E) 5
1 2 −1 0 6 −1
A) [0 1 0] B) [0 1 0]
1 −2 0 1 −2 0
0 6 −1 0 6 −1
C) [0 1 0] D) [0 1 0]
1 0 0 1 0 −1
0 6 1
E) [0 1 0]
34. 𝑥 = 2 cos 2𝑡 } ⟹ 𝑑𝑦 = ? 1 0 0
𝑦 = 𝑒𝑡 − 𝑡2 𝑑𝑥
𝑒 𝑡−2𝑡
A) B) 𝑒 𝑡 − 2𝑡
2 sin 2𝑡
C) 2 D) −4 sin 2𝑡
𝑒 𝑡 −2𝑡
E) −
4 sin 2𝑡
37. 𝐴 = [1 −1] ⟹ 2𝐴−1 + 𝐴 =?
2 −1
−1 1 1 −1
A) [ ] B) [ ]
−2 1 −2 1
35. 𝑓(𝑥) = 3𝑥 2 − sin 𝑥 ⟹ 𝑓 ′ (0) = ? −1 −1 −1 1
C) [ ] D) [ ]
−2 1 −2 −1
0 1
A) - 1 B) 0 C) 1 D) 2 E) 3 E) [ ]
−2 1
7
C
INONU UNIVERSITY MATHEMATICS YÖS 2018
38. ∫𝑒(ln 𝑥 + 1) 𝑑𝑥 = ? 40.
1
A) 1 B) 𝑒 C) 𝑒 − 1
D) 1 − 𝑒 E) 2𝑒 − 1
Which of the following represents the
shaded area in the figure?
𝑎
A) ∫0 [𝑓(𝑥) − 𝑔(𝑥)] 𝑑𝑥
𝑏
B) ∫0 [𝑓(𝑥) − 𝑔(𝑥)] 𝑑𝑥
𝑎
C) ∫0 |𝑓(𝑥) − 𝑔(𝑥)| 𝑑𝑥
𝑏
D) ∫0 |𝑓(𝑥) − 𝑔(𝑥)| 𝑑𝑥
𝑏
E) ∫𝑎 |𝑓(𝑥) − 𝑔(𝑥)| 𝑑𝑥
39.
S=?
9
A) 3 B) C)9
2
27
D) E) 27
2
8
C
INONU UNIVERSITY BASIC LEARNING SKILLS YÖS 2018
1. 2𝛻5 3.
3𝛻2
4𝛻6
5𝛻3
6∆1
A) 6 B) 7 C) 8 D) 9 E)10
A) 5342 B) 3254 C) 4352
D) 2345 E) 2453
2. 3∆4 4.
3∆2
4∆2
5∆4
6∆3
A)6 B)7 C)8 D)9 E)10
A) 5432 B) 6435 C) 5462
D)5461 E)6542
9
C
INONU UNIVERSITY BASIC LEARNING SKILLS YÖS 2018
5. 8.
A) 36 B) 40 C) 44 D) 48 E) 52
X+Y=?
A) 3 B) 4 C) 5 D) 6 E) 7
6. 9.
A) 32 B) 34 C) 36 D) 38 E) 40
A) 5 B) 3 C) 1 D) 0 E) -1
7. 10.
A) 16 B) 17 C) 18 D) 19 E) 20
X-Y=?
A) 5 B) 6 C) 8 D) 10 E) 12
11.
10
C
INONU UNIVERSITY BASIC LEARNING SKILLS YÖS 2018
14.
A) 83747 B) 74783 C)77384
D) 48737 E) 77834 The tables above contain addition and
multiplication of integers, where x, y, z each
𝒙
refers to a unique integer. Then, 𝒛 =?
1 1 1 1
A) − B) − C) D) E) 1
2 4 4 2
12. 5, 6, 8, 11, 15, 20, 26, X,…
X=?
A) 32 B) 33 C) 34 D) 35 E) 36
15.
13. 1, 5, 3, 8, 12, 10, 15,19,17, X, …
If the shape above is folded into a cube, what is
X=? the sum of numbers next to number “5”?
A) 13 B) 15 C) 20 D) 21 E) 22 A) 5 B) 10 C) 13 D) 14 E) 15
11
C
INONU UNIVERSITY BASIC LEARNING SKILLS YÖS 2018
16. 18.
A) B) C)
A) B)
D) E) C) D)
E)
17. 19.
3454
8474
5489
1272
2134
KAMELYA=?
A) 5 B) 10 C) 13 D) 14 E) 15
A) 7458154 B) 8458174 C) 7432184
D) 3458174 E) 7438154
12
C
INONU UNIVERSITY BASIC LEARNING SKILLS YÖS 2018
20. 21.
Which of the following does
not fit into this figure?
When the figure above is rotated by 270o
degrees counterclockwise, which of the
following will you get?
A) B)
A) B) C) D)
E)
C) D)
E)
22.
X=?
A) 2 B) 3 C) 4 D) 5 E) 6
13
C
INONU UNIVERSITY BASIC LEARNING SKILLS YÖS 2018
23. 25.
A) B) C) A) B)
C) D)
D) E)
E)
26.
24.
X =?
A) B)
A) 3 B) 4 C) 5 D) 7 E) 10
C) D)
E)
14
C
INONU UNIVERSITY BASIC LEARNING SKILLS YÖS 2018
27. 29.
A) B) C)
D) E)
28. 30.
A) B) C)
D) E)
15
C
INONU UNIVERSITY BASIC LEARNING SKILLS YÖS 2018
31. 33.
Which of the following should fit in the figure
above to make it a square?
A) B) C)
A) B)
D) E)
C) D)
E)
32. 34.
X=?
A) 1 B) 2 C) 3 D) 4 E) 6
A) B) C)
D) E)
16
C
INONU UNIVERSITY BASIC LEARNING SKILLS YÖS 2018
35. 37.
3 4 5
1 4 8 6 5
2 1 4 8 2 3 4
6 1 9 3 8
4 X 6
X=?
A) 6 B) 5 C) 4 D) 3 E)2
38.
36.
A) B) C)
D) E)
A) B)
C) D)
E)
17
C
INONU UNIVERSITY BASIC LEARNING SKILLS YÖS 2018
39.
A) B) C)
D) E)
40.
Which of the following is the
symmetrical display of the shape
according to line d?
A) B) C)
D) E)
18
