 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)
Direction (110): What value should come in place of question mark (?) in the following questions?
1). 1/6 of (92)% of 1 1/23 of (650) = 85 + ?
650 × 24/23 × 92/100 × 1/6 = 85 + ?
or, ? = 104  85 = 19
2. 92 × 576 ÷ (2 × √1296) = (?)^3 + √49
92 × 576 ÷ (2 × √1296) = (?)^3 + √49
or, 92 × 576 / 72 = (?)^3 + 7
or, 736  7 = ?^3
?3 = 729
? = ³√729 = 9
3. 3 1/4 + 2 1/2 – 1 5/6 = (?)^2 /10 + 1 5/12
(3 + 2 – 1 – 1) + (1/4 + 1/2 – 5/6 – 5/12) = ?^2 / 10
3 + ((3 + 6 – 10 – 5) / 12) = ?^2 / 10
3  6/12 = ?^2 / 10
3 – 1 /2 = ?^2 / 10
?2 = 5/2 × 10 = 25
? = 5.
4. (√8 × √8)^(1/2) + (9)^(1/2) = (?)^3 + √8 – 340
(√8 × √8)^(1/2) + (9)^(1/2) = (?)^3 + √8 – 340
√8 + 3 = (?)^3 + √8 – 340
(?)^3 = 340 + 3
(?)^3 = 343
? = 7
5. (15 × 0.40)^4 ÷ (1080 ÷ 30)^4 × (27 × 8)^4 = (3 × 2)^(?+5)
(15 × 0.40)^4 ÷ (1080 ÷ 30)^4 × (27 × 8)^4 = (3 × 2)^(? + 5)
6^4 ÷ (36)^ 4 × (216)^ 4 = (6)^(? + 5)
6^4 ÷ (6^2)^4 × (6^3)^ 4 = (6)^ (? + 5)
6^(4 + 12 – 8) = (6)^(? + 5)
(6)^ 8 = (6)^(? + 5)
? + 5 = 8
? = 3
6. 1664 × 1.75 + 1008 × 1.25  1220 × 0.65 = ?
? = 2912 + 1260  793 = 3379
7. (?% of 999) ÷ 0.9 = 166.5
? × 999 / 100 = 166.5 × 0.9
? = 14985 / 999 = 15
8. {(157.8)^2  (117.2)^2} × 0.008 = ?
? = {(157.8 + 117.2) × (157.8  117.2)} × 0.008
? = (275 × 40.6) × 0.008 = 11165 × 0.008
= 89.32
9. 82992 ÷ ? = 76 × 42
? = 82992 / (76 × 42) = 26
10. [{(486)^2 ÷ (27)^2} × 15] ÷ 12 = ?
? = {[(486 × 486) / (27 × 27)] × 15} ÷ 12
? = 324 × 15 / 12 = 405
Direction (1120): What approximate value should come in place of question mark (?) in the following questions?
11. (24/9)^2 × 399 / 39 ÷ 41 / 899 = ?
(24/9)^2 × (399/39) ÷ (41/899) = ?
? ≈ (576 / 81) × (400/40) ÷ (40/900)
? = 1600
12. 67.99% of 1401  13.99% of 1299 = ?
68% of 1400  14% of 1300
= 952  182 = 770
13. 5466.97  3245.01 + 1122.99 = ? + 2309.99
5467  3245 + 1123  2310 = ?
? = 1035
14. 5998 ÷ 9.98 + 670.99  139.99 = ?
5998 ÷ 9.98 + 670.99  139.99 = ?
? ≈ 6000/10 + 670 – 140
? = 600 + 670 – 140
? = 1130
15.– (4.99)^3 + (29.98)^2  (3.01)^4 = ?
? = – (4.99)^3 + (29.98)^2  (3.01)^4
? ≈  5^3 + 30^2  3^4
? = – 125 + 900 – 81
? = 694 ≈ 690
16. 2874.78% of 124.06 ÷ √26 = ?
? ≈ (2875 × 124 / 100) ÷ 5
? = 3565 / 5
? = 713 ≈ 710
17. 44.4 × 4.44 ÷ 7.98 + √24000 = ?
? = 44.4 × 4.44 / 8 + √24000
? ≈ 197 / 8 + 154.9
? ≈ 25 + 155 = 180
18. 134.9% of 127.89 + 115.05% of 23.94 = ?
? = 135 × 128 / 100 + 115 × 24 / 100
? = 172.8 + 27.6 = 200.4 ≈ 200
19. (83.98)^2 ÷ 13.49 = ?
? = (83.98)^2 / 13.49
? = (84)^2 / 13.5
? = 522.66 ≈ 525
20. (2904 ÷ 34.95  12.99) × 5.96 = ?
? = (2900/35 – 13) × 6
? ≈ (83 – 13) × 6
? = 70 × 6 = 420
Direction (21 – 25): What value should come in place of the question mark (?) in the following number series?21. 19 , 16 , 44 , 107 , ?
The difference of difference between numbers is + 25, +35, +45, ….
22. 11 , 14 , 23 , 50, ?
The series is,
11 + 3^1 = 11 + 3 = 14;
14 + 3^2 = 14 + 9 = 23;
23 + 3^3 = 23 + 27 = 50;
50 + 3^4 = 50 + 81 = 131
23. 19 , 25 , 42 ,71 , 113 , ?
The difference of difference between numbers is +11, +12, +13, +14, …
24. 21 , 35 , 30 , 44 , 39 ,?
The series is,
21 + 14 = 35;
35 – 5 = 30;
30 + 14 = 44;
44 – 5 = 39;
39 + 14 = 53
25. 7, 14, 30, 56 , 93 , ?
The difference of difference between the numbers is, +9, +10, +11, +12, …..
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) P< Q
b) P ≤ Q
c) P ≥ Q
d) P = Q or no relation can be established between P and Q
e) P> Q
26. Ⅰ. 9P^2 – 9P + 2 = 0
Ⅱ. 18Q^2 + 3Q = 1
Ⅰ. 9P^2 – 9P + 2 = 0
Or, 9P^2 – 6P – 3P + 2 = 0
Or, (3P – 1)(3P – 2) = 0
∴ P = (1 / 3), (2 / 3)
Ⅱ. 18Q^2 + 3Q – 1 = 0
Or, 18Q^2 + 6Q – 3Q – 1 = 0
Or, (6Q – 1)(3Q + 1) = 0
∴ Q =  (1 / 3), (1 / 6)
Hence , P> Q
27. Ⅰ. P^2 + 13P + 42 = 0
Ⅱ. 2Q^2 + 22Q + 60 = 0
Ⅰ. P^2 + 13P + 42 = 0
Or, P^2 + 7P + 6P + 42 = 0
Or, (P + 7)(P + 6) = 0
∴ P = 7, 6
Ⅱ. 2Q^2 + 22Q + 60 = 0
Or, Q^2 + 11Q + 30 = 0
Or, (Q + 5)(Q + 6) = 0
∴ Q = 5, 6
Hence , Q ≥ P
28. Ⅰ. 6P + 7Q = 45
Ⅱ. 2P + 3Q = 17
P = 4 and Q = 3
Hence P> Q
29. Ⅰ. 3P^2 + 192 =  48P
Ⅱ. Q^2 + 16Q + 64 = 0
Ⅰ. 3P^2 + 48P + 192 = 0
Or, P^2 + 16P + 64 = 0
Or, (P + 8)^2 = 0
∴ P = 8 , 8
Ⅱ. Q^2 + 16Q + 64 = 0
Or, (Q + 8)^2 = 0
∴ Q = 8, 8
Hence , P = Q
30.Ⅰ. 15P^2  8P + 1 = 0
Ⅱ. 45Q^2 + 21Q = 6
Ⅰ. 15P^2 – 8P + 1 = 0
Or, 15P^2 – 3P – 5P + 1 = 0
Or, (3P – 1)(5P – 1) = 0
∴ P = (1 / 3), (1 / 5)
Ⅱ. 45Q^2 + 21Q – 6 = 0
15Q^2 + 7Q – 2 = 0
Or, 15Q^2 + 10Q – 3Q – 2 = 0
Or, (5Q – 1)(3Q + 2) = 0
∴ Q = (1 / 5),  (2 / 3)
Hence , P ≥ Q
English Learning Session :– (Day1)


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English Learning Session :– (Day5)


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English Learning Session :– (Day7)
