Q1. Megha weighs twice as much as Shweta. Shweta’s weight is 60% of Deepika’s weight. Rakesh weighs 50% of Vikas’s weight. Vikas weighs 190% of Megha’s weight. Which of these people weighs the least ?
Megha
Deepika
Shweta
Rakesh
None of these
Solution:

Q2. Two numbers are in the ratio P : Q. When 1 is added to both the numerator and the denominator, the ratio gets changed to R/S. Again, when 1 is added to both the numerator and the denominator, it becomes 1/2. Find the sum of P and Q.
3
4
5
6
None of these
Solution:

Q3. Efficiency of Asha is 25% more than Usha and Usha take 25 days to complete a piece of work. Asha started the work alone and then Usha joined her 5 days before completion of the work. For how many days Asha worked alone ?
13 days
11 days
10 days
15 days
None of these
Solution:

Q4. Several litres of acid were drawn off a 54-litre vessel full of acid and an equal amount of water added. Again the same volume of the mixture was drawn off and replaced by water. As a result, the vessel contained 24 litres of pure acid. How much of the acid was drawn off initially ?
12 litres
16 litres
18 litres
24 litres
None of these
Solution:

Q5. In what time would a cistern be filled by three pipes whose diameters are 2 cm, 3 cm and 4 cm running together, when the largest alone can fill it is 58 minutes ? The amount of water flowing per minute in each pipe is proportional to the square of its diameter:
36 minutes
32 minutes
23 minutes
28 minutes
None of these
Solution:
Amount of water from three pipes is 4 units, 9 units and 16 units.
Let capacity of cistern be x units.
∴x/58=16 ⇒x=928 units.
In 1minute quantity to be filled by 3 pipes = 29 units
∴ Total time required=928/29=32 minutes

Directions (6-10): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

Q6.
if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Solution:

Q7.
if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Solution:

Q8.
if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Solution:

Q9.
if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Solution:

Q10.
if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Solution:

Directions (11 - 15): What will come in place of the question mark (?) in the following number series?

Q11. 2, 17, 47, ?, 152, 227
23
92
93
85
89
Solution:
Series is +15, +30, +45, +60, +75
So, 47 + 45 = 92

Q12. 1, 1, 2, 4.5, ? , 30
10
9
11
12
7
Solution:
Series is 1×0.5+0.5, 1×1+1, 2×1.5+1.5, 4.5×2+2, 11×2.5+2.5
So, 4.5×2+2⇒11

Q13. 200, 100, 150, 75, 112.5, ?
48.5
54
90.5
56.25
62.25
Solution:
Series is ÷2, ×1.5, ÷2, ×1.5, ÷2, ×1.5
So, 112.5÷2=56.25

Q14. 180, 189, 214, 263, 344, ?
389
465
433
553
430
Solution:
Series is +3², +5², +7², +9², +11²
So, 344+121=465

Q15. 7, 11, 38, 54, ?, 215
179
151
125
135
115
Solution:
Series is +2²,+3³,+4²,+5³,+6²
So, 54 + 5³ = 179