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Directions: What should come in place of the question mark (?) in the following number series?
Que. 1 1 2 6 ? 120
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0! = 1
1! = 1
2! = 2
3! = 6
4! = 24
5! = 120
Que. 4 13 17 ? 30 39
4 + 9 = 13
13 + 4 = 17
17 + 9 = 26
26 + 4 = 30
30 + 9 = 39
Que. 982 977 952 827 822 ?
982−(5)1=977
977−(5)2=952
952−(5)3=827
827−(5)1=822
822−(5)2=797
Que. 41472 5184 576 72 8 ?
41472 ÷ 8 = 5184
5184 ÷ 9 = 576
576 ÷ 8 = 72
72 ÷ 9 = 8
8 ÷ 8 = 1
Que. 7 33 137 553 ? 8873
7 × 4 + 5 = 28 + 5 = 33
33 × 4 + 5 = 132 + 5 = 137
137 × 4 + 5 = 548 + 5 = 553
553 × 4 + 5 = 2212 + 5 = 2217
2217 × 4 + 5 = 8868 + 5 = 8873
Directions: Study the table given below and answer the questions.
Que. In which department did the number of employees (approximately) remain the same during the years 2006 to 2011?
From the table, it is clear that in the department ‘Research’ the number of employees remain approximately the same from the year 2006 to 2011
Que. In how many years was the number of employees in the production department more than 50% of the total number of employees?
From the above table, it is clear that there were five such years, i.e., 2007, 2008, 2009, 2010 and 2011 in which number of employees in production were more than 50% of the total employees.
Que. In which years did the departments have a greater number of employees than they had in the immediately preceding year?
It is clear from the table that in the year 2010, each department had a larger number of employees than it had in the immediately preceding year.
Que. Which department had less than 10% of the employees through all the years shown in the table?
10% of the total number of employees in the year 2006 = 10% of 690 = 69
2007 = 10% of 884 = 8.4
2008 = 10% of 1416 = 141.6
2009 = 10% of 1500 = 150
2010 = 10% of 1642 = 164.2 2011 = 10% of 1642 = 164.2
From the above calculation and the table, it is clear that in Marketing, the number of employees through all the years is less than 10% of the total number of
employees in the corresponding years.
Que. In which year did the total number of employees reach (approximately) twice the total number of employees that the factory had in the year 2006?
Number of employees in the factory in the year 2006 = 300 + 100 + 90 + 150 = 690
2007 = 450 + 80 + 90 + 124 + 140 = 884
2008 = 900 + 130 + 60 +180 + 146 = 1416
2009 = 940 + 146 + 64 + 210 + 140 = 1500
2010 = 1000 + 160 + 70 + 264 + 148 = 1642
2011 = 1010 + 150 + 72 + 260 + 150 = 1642
Thus, it is clear that the number of employees in the year 2008 is approximately double that it had in the year 2006.
In each question, what is the approximate value of the number which should replace the question-mark (?)
Que. 38.5 + 12.0025*4.5 = ?
In the given question, 12.0025 ≈ 12
So, the approximate value of the given expression equals 38.5 + 12*4.5 = 38.5 + 54 = 92.5
Que. (1050+1470+1340+1240)÷856=?
(1050+1470+1340+1240)÷856=5100÷856=(850×6)÷856≈6
Que. 1.22×4.82÷8.1=?
Que. 1.892−1.092=?
The given expression is 1.892−1.092≈1.92−1.12=(1.9+1.1)∗(1.9−1.1)=3∗0.8=2.4
Que.
In the following questions, what will come in the place of the question mark (?)
Que. 256/16+16∗2−16=?
BEDMAS rule applies. So, Brackets first, exponent next, division next, multiplication next, addition next, subtraction last.
256/16 = 16
16*2 = 32
So, the answer is 16 + 32 - 16 = 32
The expression becomes 24/11 * 11/2 - 11/3 * 5/11 = 12 - 5/3 = 31/3
BODMAS rule applies. So, Brackets are solved first followed by of, next division, next multiplication, next addition and finally subtraction.
Numerator = 24 * 5 + 28 = 120 + 28 = 148
Denominator = 6*12 - 8 = 72 - 8 = 64
So, fraction = 148/64 = 37/16
Que. 24/12+(6−3)∗22=?
BEDMAS rule applies. So, Brackets first, exponent next, division next, multiplication next, addition next, subtraction last
24/12 = 2
6-3 = 3
22=4
So, the expression is 2+3∗4 = 14
What is the area of the triangle whose vertices are (0,0), (5,0) and (0,6)?
This is a right-angled triangle with the perpendicular sides being 5 and 6. So, area = ½ * 5 * 6 = 15 sq units
Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3:5?
Suppose, the ratio was 3 :5, x years ago.
Then, (40-x)/(60-x) = 3/5 ⇔5(40-x)= 3(60-x)⟺2x=20 ⇔x=10 years
A train 600 m long passes a pole in 9 seconds. What is the speed of the train in km/hr?
Speed = Distance/Time =600/9 m/sec
=600/9×18/5 km/hr = 240 km/hr [∵ 1 m/sec = 18/5 km/hr]
The sum of three consecutive natural numbers each divisible by 3 is 72. What is the largest among them?
3x + (3x + 3) + (3x + 6) = 72
9x + 9 = 72 => 9x = 72 - 9
Or x=63/9=7
The largest of them is 27.
A and B together can complete a piece of work in 35 days while A alone can complete the same work in 60 days. In how many days, B alone will be able to complete the same work?
B’s one day work = 1/35-1/60=(12-7)/60=5/420=1/84
∴ Required number of days =84
The third proportional to 0.36 and 0.48, is:
Let the third proportional to 0.36 and 0.48 be x.
Then, 0.36: 0.48 :: 0.48 : x
⇔x=((0.48×0.48)/0.36)=0.64
A rectangular field of dimensions 30 m x 20 m is surrounded by a footpath of uniform width. If the area of the footpath is 216 m2, what is the width of the footpath?
Let the width of the footpath be w.
So, area of the footpath = (30+2w)*(20+2w) - 20*30 = 216
From the options, w = 2 satisfies the equation. So, option a) is the answer.
55% of a number is more than one-third of that number by 52. What is two-fifth of that number?
Let the number be x.
55/100 x=1/3 x+52
13/60 x=52
=> x=240
2/5 x=2/5 x 240 = 96
The price of a book is reduced by 25%, what is the ratio of change in price to the old price?
Let the old price be Rs. 100.
∴ (change in price/(old price=25/100=1/4
Find the compound interest on Rs. 9375 at 8% per annum for 2 yr.
A = P(1+R/100)t= Rs. [9375×(1+8/100)2] = Rs.[9375×27/25×27/25] = Rs. 10935
CI = 10935-9375 = Rs. 1560
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
S.I. for 1 year = Rs. (854 - 815) = 39.
S.I. for 3 years = Rs. (39 × 3) = Rs. 117.
∴ Principal =Rs. (815 - 117) = Rs. 698.
Find the average of the first 100 natural numbers
Sum of the first n natural numbers =n(n+1)/2
Sum of the first 100 natural numbers = (100×(100+1))/2 = 5050
Average of first 100 natural numbers = 5050/100= 50.5
Find the average weight of 8 students 49 kg, 47 kg, 46 kg, 42 kg, 39 kg, 48 kg, 50 kg and 43 kg.
Average weight = (49+47+46+42+39+48+50+43)/8
= 364/8
= 45.5 kg
Find the LCM of 23×34×52,22×33×7,52×72
LCM of given numbers =23×34×52×72
(Take the greatest power of each term)
If CP = Rs. 20, % loss = 25%, then SP =?
SP= ((100-loss%)/100)× CP = 75/100×20 = Rs. 15
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