Direction (110): What will come in place of question mark (?) in the following questions:
1. 637.28 – 781.47 + 257.39 = ?
Answer: A
2. 6% of 350 + 2% of 700 = ?% of 1400
14x = 21 + 14
14x = 35
X = 35/14 = 2.5
Answer: B
3. 4672 ÷ 40 ÷ 4 = ?.
4672 / (40 × 4) = x
x = 29.2
Answer: C
4. 7 × ? = 546 ÷ 4
X = 546 / 28
X = 19.5
Answer: D
5. 672 ÷ 24 × 18 + 153 – 354 = ?
X = 504 + 153 – 354
X = 303
Answer: E
6. 67.39 – 11.78 + 19.63 = ? + 22.41
? = 87.02 – 34.19
? = 52.83
Answer: B
7. 44% of 125 + 75% of 840 = ?
? = 44 × 5/4 + ¾ × 840
? = 55 + 630
? = 685
Answer: C
8. 8.5 × 6.4 + 4.5 × 11.6 = ? ÷ 4
? = (54.4 + 52.2) × 4
? = 106.6 × 4
? = 426.4
Answer: D
9. √7921 + √3969 = ? .
89 + 63 = ?
? = 152
Answer: C
10. 39.977 + 444.333 – 44444.43 + 44.33 – 39.77 = ?
? =  43955.56
Answer: D
11. 1002 ÷ 49 × 99 – 1299 = ?
1002 = 1000; 49 = 50; 99 = 100 and 1299 = 1300
Now the equation will become
1000 ÷ 50 × 100 – 1300 = ?
20 × 100 – 1300 = ?
2000 – 1300 = ?
? = 700
Answer: A
12. 29.8% of 260 + 60.01% of 510 – 103.57 = ?.
29.8% of 260 = 30% of 260; 60.01% of 510 = 60% of 510 and 103.57 = 104
Now the equation will become
30% of 260 + 60% of 510 – 104 = ?
30/100×260 + 60/100×510 104=?
78+306104=?
? = 384 – 104 = 280
Answer: D
13. 16.001 × 30.999 × 8.998 = ?
Required answer = 4450
Answer: A
14. (6.99)2 +(8.01)2 − √85 = ?
≈ 49 + 64  9 ≈ 104
Answer: D
15. 49% of 5051 – (3/7) of 999 = ?.
Answer: A
16. 4329 / 19 + 6464 / 13 = ?
Answer: B
17. (4.012)^3 + (29.997)^2 = ?
Answer: B
18. 6575 / 17.98 × 42.03 / 6.87 = ?.
19. 12.002 × 15.005 – 8.895 × 6.965 = ?
Answer: B
20. 12.664 × 22.009 × 17.932 = ?
Answer: C
Direction (21 – 25): What will come in place of the question mark (?) in the following number series?
21. 0, 3, 8, 15, 24, 35, 48, ?
22. 2, 12, 36, 80, 150, ?
Answer: B
23. 1, 6, 13, 22, 33, ?
.'. Missing number = 33 + 13 = 46.
Answer: C
24. 19, 2, 38, 3, 114, 4, ? .
I. 19, 38, 114, (....) and II. 2, 3, 4
The pattern followed in I is * 2, * 3,...
.'. Missing number = 114 * 4 = 456.
Answer: D
25. 95, 115.5, 138, ?, 189.
.'. Missing term = 138 + 24.5 = 162.5.
Answer: B
Direction (2630): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and given answer:
a) If x< y
b) If x ≤ y
c) If x = y, or no relation can be established between x and y.
d) If x> y
e) If x ≥ y
26. I. 9x^2 = 1
II.4y^2 + 11y – 3 =0
:. x2 = 1/9
:. x = ± 1/3
II.4y^2 +11y – 3 =0
Or, 4y^2 + 12y – y – 3= 0
Or, 4y(y + 3) – 1 (y + 3) = 0
:.y = 1/ 4,  3
Hence, there is no relation between x and y.
Answer: C
27. I.3x^2 + 5x – 2 =0
II.2y^2 – 7y + 5 =0.
Or, 3x^2 + 6x – x 2= 0
Or, 3x(x + 2) – 1(x + 2) =0
Or, (3x 1) (x +2) = 0
:. X = 2, 1/3
II. 2y^2 – 7y + 5 =0
2y^2 – 2y – 5y + 5 = 0
Or, 2y(y  1) – 5 (y  1) =0
:. y = 1, 5/2
Hence, x< y
Answer: A
28. I. 6x^2 + 13x + 5 =0
II.3y^2 + 11y + 10 =0
Or, 6x^2 + 3x +10x + 5=0
Or, 3x (2x +1)+ 5(2x + 1)= 0
Or, (3x + 5) (2x +1 ) = 0
:. X =  5/3, 1/2
II.3y^2+11y+10 = 0
Or, 3y^2 + 6y + 5y+10 = 0
Or, 3y(y + 2) + 5(y + 2) = 0
Or, (3y + 5) (y + 2) = 0
:. y=  5/3, 2
Hence, x ≥ y
Answer: E
29. I.7x – 4Y =29
II.5x + 3y – 50 =0
II. 5x + 3y = 50
(I)×3 + (II)×4
21x  12y = 87
20x + 12y = 200
41x = 287
:. x = 7
Putting the value of x in (I), we get
y = 5
Hence, x> y
Answer: D
30. I. x^2 – 5 =0
II.4y^2 – 24y + 35 =0.
:. x = ±√5 ≈ ± 2 .236
II.4y^2 – 24y + 35 =0
Or, 4y^2 – 14y – 10y + 35 = 0
Or, 2y (2y  7) – 5(2y  7)= 0
Or,(2y  5) (2y  7) = 0
:. y = 5/2, 7/2 = 2.5, 3.5
Hence, x< y
Answer: A
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English Learning Session :– (Day5)


English Learning Session :– (Day6)
