 Quantitative Aptitude Scoring Part (Day1)
 Quantitative Aptitude Scoring Part (Day2)
 Quantitative Aptitude Scoring Part (Day3)
 Quantitative Aptitude Scoring Part (Day4)
 Quantitative Aptitude Scoring Part (Day5)
 Quantitative Aptitude Scoring Part (Day6)
Direction (110): What value should come in place of question mark (?) in the following questions?
1). (139.93 × 24.102)  (27.89 × 7.53) = ?
? ≈ (140 × 24)  (28 × 7.5)
= 3360  210 = 3150
2. (3248% of 55.055) ÷ 27.98 = ?
? ≈ (3248 × 55 / 100) ÷ 28
? = 3248 × 55 / 2800
? = 63.8 ≈ 64
3. √10600 × ³√19680 = ?
(103)^2 = 10609
√10600 ≈103
(27)^3 = 19683
Since, ³√19680 ≈ 27
? ≈ 103 × 27 = 2781 ≈ 2780
4. 6844 ÷ √3360 + 255.65 ÷ 7.98 = ?
(58)^2 = 3364
Therefore, √3360 ≈ 58
? = 6844 / 58 + 256 / 8
? = 118 + 32 = 150
5. (248% of 17855) ÷ 23.98 = ?
? ≈ (248 × 17855/100) ÷ 24
? = 44280.4 / 24 ≈ 1845
6. (48.048 ÷ 11.911) × √? = 112.012
√? ≈ 112 / (48 ÷ 12)
√? = 112/4 = 28
? = 28^2 = 784
7. 4140.04 ÷ 36.06 + 55 × (8.998)^2 = ?
? ≈ 4140/36 + 55 × (9)^2
? = 115 + 4455 = 4570
8. 32.48% of 1808 + 22.94% of 1508 = ?
? ≈ 32.5 × 1800 / 100 + 23 × 1500 / 100
= 585 + 345 = 930
9. 3√10650 = ?
(22)^3 = 10648
Therefore, 3√10650 ≈ 22
10. (10)^7.3 ÷ (100)^4.15 × (1000)^2 + 99999 = ? × 10^5
? × 10^5 = (10)^7.3 ÷ (10^2)^4.15 × (10^3)^2 + 99999
? × 10^5= (10)^7.3 ÷ (10)^8.3 × (10)^6 + 99999
? × 10^5= (10)^(7.3 – 8.3 + 6) + 99999
? × 10^5 = (10)5 + 99999 ≈ (10)^5 + (10)^5
? × 10^5 = 2 × 10^5
? = 2
Direction (1120): What approximate value should come in place of question mark (?) in the following questions?
11.(2197)^2 ÷ (28561)^3 = 169 × (13)^?
(13^3)^2 ÷ (13^4)^3 = 169 × (13)^?
(13)^6 ÷ (13)12 = 169 × (13)^?
(13)^6+12 = 169 × (13)^?
(13)^6 = 169 × (13)^?
169 × (13)^4 = 169 × (13)^?
? = 4
12. 7/12 of 5/21 of 1/23 of 48% of 28980 = ?
? = (7 × 5 × 48 × 28980) / (12 × 21 × 23 × 100)
? = 84
13. {14641 ÷ 11} × 3.5 = ?
? = (14641 / 11) × 3.5
? = 1331 × 3.5
? = 4658.5
14. (28)^4.9 × (7)^0.1 × (2)^0.2 ÷ {(7)^2.5 × (2)^5} = (28)^?
28^? = (28)^4.9 × (7)^0.1 × (4)^0.1 ÷ (7^2.5 × 4^2.5)
28)? = (28))4.9 × (28))0.1 ÷ (28))2.5
28)? = (28)^(4.5+0.1+2.5)
? = 7.1
15.(28.5% of 144) × 25 = ? × 6
6 × ? = (28.5 × 144 / 100) × 25
6 × ? = 41.04 × 25 = 1026
? = 1026 / 6 = 171
16. (8)^7.2 ÷ (512)^1.6 × (4096)^1.2 ÷ (32768)^1 = (8)^?
8^? = (8)^7.2 ÷ (8^3)^1.6 × (8^4)^1.2 ÷ (8^5)^1
8^? = (8)^7.2 ÷ 8^4.8 × 8^4.8 ÷ 8^ 5
8^? = (8)^(7.24.84.8+5) = (8)^2.6
? = 2.6
17. 45.5% of 960 + 13.5% of 320 = ?% of 3000
3000 ×? / 100 = 45.5 × 9.6 + 13.5 × 3.2
3000 ×? / 100 = 436.8 + 43.2 = 480
? = 480 × 100 / 3000 = 16
18. {(13824)2/3 ÷ 16} × 7.5 = ?
? = {(24^3)^2/3 ÷ 16) × 7.5
? = {(24)^2 ÷ 16} × 7.5
? = 36 × 7.5 = 270
19. {6^3.6 ÷ (36)^ 4.2 }^1/4 = √?
√? = {6^3.6 ÷ (6^2)^4.2}^1/4
√? = {6^3.6 ÷ 6^8.4)^1/4 = (6^(3.6 + 8.4)}^1/4
√? = {6^12}^1/4 = 6^3 = 216
or ? = (216)^2 = 46656
20. ³√12167 × √24025 = ?
? = ³√12167 × √24025
? = 23 × 155 = 3565
Direction (21 – 25): What value should come in place of the question mark (?) in the following number series?
21). 24, 28 , 19 , 35 , 10 , ?
The series is,
24 + 2^2 = 24 + 4 = 28;
28 – 3^2 = 28  9 = 19;
19 + 4^2 = 19 + 16 = 35;
35 – 5^2 = 35  25 = 10;
10 + 6^2 = 10 + 36 = 46
22. 14 , 6 , 4 , 4, 8 , ?
The series is,
14 x 1  8 = 6;
6 x 2  8 = 4;
4 x 3  8 = 4;
4 x 4  8 = 8;
8 x 5  8 = 32
23. 14, 25, 47, 91, ?, 355
The series is,
14 x 2  3 = 25;
25 x 2  3 = 47;
47 x 2  3 = 91;
91 x 2  3 = 179;
24. 11, 24, 44, 70, 101, ?
The difference of difference of the series is, +7, +6, +5, +4, ….
25. 18, 8, 6, 8, 24, ?
The series is,
18 x 0.5  1 = 8;
8 x 1 2 = 6;
6 x 2  4 = 8;
8 x 4  8 = 24;
24 x 8  16 = 176
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
d) if x≤y
e) if x = y or no relation can be established between x and y.
26. I. 9x^2  41x+46=0
II. 12y^2 + 43y+ 38 = 0
I 9x^2  41x + 46 = 0
or, 9x^2  18x  23x + 46 = 0
or, 9x(x  2)  23(x  2) = 0
or, (9x  23) (x  2) =0
x = 23/9, 2
II. 12y^2 + 43y + 38 =0
or, 12y^2 + 24y + 19y + 38 = 0
or, 12y(y + 2) + 19(y + 2) = 0
or, (12y + 19) (y+ 2) = 0
y =  19/12,  2
Therefore x> y
27.I. 6x^2 + 13x  169 =0
II. y^2 + 8y  65 = 0
I.6x^2 + I3x  169 = 0
or, 6x^2  26x + 39x  169 =0
or, 2x(3x  13) + 13(3x  13) = 0
or, (2x + 13) (3x  13) = 0
x = 13/2, 13/3
II. y^2 + 8y  65 = 0
or, y^2 + 13y  5y  65 = 0
or, y(y + 13)  5(y + 13) = 0
or, (y  5) (y + 13) = 0.
y = 5, 13
Therefore relation can't be established between x and y
28. I. 3x + 5y = 4
II. 6x  7y= 25
I. 3x + 5y = 4
II. 6x – 7y = 25
Solving equation (I) and (II), we get
(I) × 2  6x + 10y = 8
(II)  6x – 7y = 25
By subtracting (I) × 2 – (II),
17y = 17
y = 1 and x =3,
Therefore x> y
29. I. x^2  5x + 4 = 0
II. y^2 + 11y – 12 = 0
I. x^2  5x + 4 = 0
or, x^2 – 4x – x + 4 = 0
or, x(x  4) – 1(x 4) = 0
or, (x 1) (x  4) = 0
x = 1, 4
Il.y^2 + 11y  12= 0
or, y^2 + 12y – y 12 = 0
or, y(y + 12) – 1(y + 12) = 0 or, (y  1) (y + 12) = 0
y = 1, 12
Therefore, x ≥ y
30.I. 8x^2 + 50x + 57 = 0
II. 6y^2 – y – 57 = 0
I. 8x^2 + 50x + 57 = 0
or, 8x^2 + 12x + 38x +57=0
or, 4x(2x + 3) + 19(2x + 3) = 0
or, (4x + 19) (2x + 3) = 0
x = 19/4, 3/2
II.6y^2 – y  57=0
or, 6y^2 + 18y  19y  57 = 0
or, 6y(y + 3)  19(y + 3) = 0
or, (6y  19) (y + 3) = 0
y= 19/6, 3
Therefore relation can't be established.
English Learning Session :– (Day1)


English Learning Session :– (Day2)


English Learning Session :– (Day3)


English Learning Session :– (Day4)


English Learning Session :– (Day5)


English Learning Session :– (Day6)


English Learning Session :– (Day7)
