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Browse complete papersWhat should come in the place of the question mark '?' in the following number series?
24, 25, 39, ?, 202.5, 610.5
78.5
82.5
80
82.25
85
Correct answer
80
Why this answer is correct
The pattern of the above series is as follows,
24 × 1 + 1 = 25
25 × 1.5 + 1.5 = 39
39 × 2 + 2 = 80 = ?
80 × 2.5 + 2.5 = 202.5
202.5 × 3 + 3 = 610.5
Pipe P and Q can fill a tank in 5 hours and 12 hours respectively. If pipe P is opened at 8:00 a.m. and pipe Q is opened at 10:10 a.m. then, at what time will the tank be full?
12 : 10 P.M.
12 : 20 P.M.
11 : 20 P.M.
11 : 10 P.M.
None of above
Correct answer
12 : 10 P.M.
Why this answer is correct
Given:
Pipe P fills a tank = 5 hours
Pipe Q fills a tank = 12 hours
Calculation:
Let the total capacity of a tank = 60 units
Tank filled by pipe P in 1 hour = 60/5
= 12 units
Tank filled by pipe Q in 1 hour = 60/12
= 5 units
Tank filled by pipe P from 8:00 a.m. to 10:00 a.m. = 24 units
Tank filled by pipe P from 10:00 a.m. to 10:10 a.m. = 2 units [i.e. (12/60) × 10]
Remaining tank to be filled = 60 – 26
= 34 units
Tank filled in 1 hour, when both the pipes are open (from 10: 10 a.m. to 11:10 a.m.) =17 units
Tank filled in next 1 hour, when both the pipes are opened from 11:10 a.m. to 12:10 p.m. = 17 units.
∴ The tank will be filled at 12:10 P.m.
A can do a particular work in 6 days. B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?
Rs. 500
Rs. 600
Rs. 450
Rs. 350
Rs. 400
Correct answer
Rs. 400
Why this answer is correct
Given: The
Amount of work A can do in 1 day = 1/6
Amount of work B can do in 1 day = 1/8
Calculation:
Amount of work A + B can do in 1 day = 1/6 + 1/8 = 7/24
Amount of work A + B + C can do in 1 day = 1/3
Amount of work C can do in 1 day = 1/3 - 7/24 = 1/24
Work done by A in 1 day : work done by B in 1 day : work done by C in 1 day
⇒ 1/6 : 1/8 : 1/24 = 4 : 3 : 1
Amount to be paid to C = 3200 × (1/8) = Rs.400
∴ The amount to be paid to C is Rs. 400.
Sanket’s age is 62.5% of his Mother’s age and 25% of his father’s age. If the age of his father 8 years back was 32 years then find the age of his mother 8 years hence?
24 years
16 years
8 years
32 years
30 years
Correct answer
24 years
Why this answer is correct
GIVEN:
⇒ Sanket : Mother = 5x : 8x ----(1)
⇒ Sanket : Father = 1x : 4x ----(2)
CONCEPT:
1. Ratio balancing.
2. Difference between the ages of two people will remain the same.
CALCULATION:
Making ratio common.
⇒ Sanket : Mother : Father = 5x : 8x : 20x ----(3)
Age of father 8 years back = 32 years.
Father’s present age = 40 years.
⇒ 20x = 40 years
⇒ 1x = 2 years
⇒ Present age of mother = 16 years.
⇒ Age of mother after 8 years = 24 years.
The sum of three numbers is 4425. If the ratio of first to the second number is 4 ∶ 3 and second to the third number is 6 ∶ 11, then what is the third number?
1452
1947
2241
2052
1785
Correct answer
1947
Why this answer is correct
Given:
The sum of three numbers is 4425.
Ratio of first to the second number is 4 ∶ 3.
Ratio of second to the third number is 6 ∶ 11.
Formula:
If ratio of A and B is = x ∶ y
∴ A / B = x / y
Calculation:
Ratio of first and second number = 4 ∶ 3 = 4 × 2 ∶ 3 × 2 = 8 ∶ 6
Ratio of second and third number = 6 ∶ 11
∴ Ratio between the three numbers = 8 ∶ 6 ∶ 11
Let, first number = 8x
Second number = 6x
Third number = 11x
According to the question,
⇒ 8x + 6x + 11x = 4425
⇒ x = 4425 / 25
⇒ x = 177
∴ The third number = 11 × 177 = 1947
If the length of a rectangle is increased by 30%, then its perimeter would become 191m and if the breadth of the rectangle is increased by 25% then its perimeter would become 170m. What is the area of the rectangle?
1320 m2
1420 m2
1220 m2
2013 m2
None
Correct answer
1320 m2
Why this answer is correct
Concept:
Area of rectangle = Length × Breadth
Perimeter of rectangle = 2 × (Length + Breadth)
Given:
Let be assume a is length of rectangle and b is breadth of rectangle
According to question
⇒ 2 × (1.3a + b) = 191
⇒ 1.3a + b = 95.5 ---(1)
⇒ 2 × (a + 1.25b) = 170
⇒ a + 1.25b = 85 ---(2)
from (1) and (2)
a = 55, b = 24
Now,
Area of rectangle = Length × Breadth
⇒ a × b
⇒ 55 × 24 = 1320m2
∴ Thearea of rectangle is 1320m2.
What will come in the place of ‘?’ in the following question?
125 ÷ 25 ÷ 5 × 100 + 200 = ?
200
300
250
100
None of these.
Correct answer
300
Why this answer is correct
Concept used:
Follow BODMAS rule to solve this question, as per the order given below,
Calculation:
125 ÷ 25 ÷ 5 × 100 + 200 = ?
⇒ 5 ÷ 5 × 100 + 200 = ?
⇒ 1 × 100 + 200 = ?
⇒ ? = 300
∴ The value of ? is 300.
What will come in place of the question mark ‘?’ in the following question?
108 ÷ 9 + 12 × 6 – 20 = ?2
4
5
6
7
8
Correct answer
8
Why this answer is correct
Given:
The given equation is:
108 ÷ 9 + 12 × 6 – 20 = ?2
Concept Used:
Follow BODMAS rule to solve this question, as per the order given below
Calculation;
108 ÷ 9 + 12 × 6 – 20 = ?2
12 + 12 × 6 – 20 = ?2
12 + 72 – 20 = ?2
84 – 20 = ?2
64 = ?2
?2 = 82
? = 8
∴ The required value of "?" in the given equation is 8
What will come in the place of the question mark ‘?’ in the following question?
70% of (2/3) of 630 =?
350
200
294
250
None of these
Correct answer
294
Why this answer is correct
Given:
70% of (2/3) of 630 =?
Concept used:
Calculation:
70% of (2/3) of 630 =?
⇒ (70/100) × (2/3) × 630 =?
⇒ ? = 294
∴ 294 will come in place of the question mark ('?').
What will come in place of the question mark (?) in the following question?
3640 ÷ 14 ×16 + 340 = ?
7000
0.70
450
4500
None of these
Correct answer
4500
Why this answer is correct
CONCEPT :
CALCULATION :
3640 ÷ 14 ×16 + 340 = ?
260 × 16 + 340
⇒ 4160 + 340
⇒ 4500