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Find the next term in the following number series:
5, 15, 9, 27, 21, 63, 57, ___
This is an alternating multiplication and subtraction series. First multiply by 3 and then subtract 6.
5 × 3 = 15
15 - 6 = 9
9 × 3 = 27
27 - 6 = 21
21 × 3 = 63
63 - 6 = 57
57 × 3 = 171
Ring is to finger as watch is to ______.
A person wears a ring on a finger and the watch on the wrist.
Find the next term in the given series: 3, 8, 6, 11, 9, 14, _
Series is going in +5 and -2
3 + 5 = 8 8 - 2 = 6 6 + 5 = 11 11 - 2 = 9 9 + 5 = 14 14 - 2 = 12
Find the next term in the given series: 6, 12, 36, 144, __
The pattern followed in the given series is:
6 × 2 = 12
12 × 3 = 36
36 × 4 = 144
So, the next term will be:
144 × 5 = 720
Find the number which replaces the question mark (?).
9 : 729 : : ? : 1728
As 729 is the cube of 9, 1728 is the cube of 12. Hence, 12 is the answer.
Choose the number which is different from the rest.
93 is different from other numbers as 93 is not a prime number and all other numbers are prime numbers.
In a certain language, LINES is written as MJOFT. How is ANGLES written in that language?
While writing LINES, each letter is moved one step forward.
So, ANGLES : BOHMFT
A + 1 = B
N + 1 = O
G + 1 = H
L + 1 = M
E + 1 = F
S + 1 = T
Choose the odd one out from the given numbers.
All are prime numbers except 93 as 93 = 3 × 31.
In the assembly, Bill is standing at 14th position from the back in the row of 30 students. What is his position from the front?
Total number of students in the row = 30 Bill's position from back = 14 Bill's position from the front = 30 - 14 +1 = 17
In a certain language, if ANSWER is coded as HPQRNT, then how is NEWS coded in that language?
While coding ANSWER, A is written as H N is written as P S is written as Q W is written as R E is written as N R is written as T So, NEWS is coded as PNRQ (As, N is P, E is N, W is R and S is Q).
Rearrange the following letters to make a single word and then choose the category to which it belongs.
G A E L E
G A E L E = EAGLE, which is a bird.
What day is day after tomorrow if yesterday was Friday?
As yesterday was Friday, therefore, today is Saturday, tomorrow is Sunday and day after tomorrow is Monday.
Five friends are sitting in a row. Sachin and Rahul are on the extreme ends. Dishant is sitting next to the left of Rahul. Sohan is sitting next to Ram and is the immediate neighbour of Sachin. Who is sitting in the middle?
Sitting arrangement = Sachin, Sohan, Ram, Dishant and Rahul Hence, Ram is sitting in the middle.
Which of the following is the correct representation of the number - twelve thousand eighty-two?
Twelve thousand eighty-two = 12,000 + 82 = 12,082
Which of the following expressions is true?
4 x 7 - (6 + 12) = 4 x 7 - 18 = 28 - 18 = 10
Shanu adds 3.971 to the product of 55.9 and 12.5. What will be her answer?
Product of 55.9 and 12.5 55.9 x 12.5 = 698.75 Adding 3.971 to 698.75 = 702.721
Order the given temperatures starting with the warmest.
-42°C, 11°C, -3°C, 46°C, -15°C, 73°C
73°C, 46°C, 11°C, -3°C, -15°C, -42°C is the correct order from the warmest to the coldest.
Simplify 14 ÷ (21 ÷ 3) + 7 - 1
Using BODMAS, we have
14 ÷ (21 ÷ 3) + 7 - 1
14 ÷ 7 + 7 - 1
2 + 7 – 1
8
What will be the difference of 74512 and 66142 rounded to the nearest thousand?
Required difference = (74512 - 66142) = 8370 Difference rounded off to the nearest thousand = 8000
Pranav was asked to divide a number by 11. Instead he divided the number by 6 and got the answer as 22. The number to be divided was ____
The number to be divided was 22 × 6 = 132 because the question says he divided a number by 6 and got the answer as 22. So, to find out the number we multiply 6 by 22 to get 132.
4 × 10000 + 7 × 100 + 8 × 10 + 2, is the same as
4 × 10000 + 7 × 100 + 8 × 10 + 2 = 40782. This is the correct form of numbers when written.
Which of the following is the predecessor of -12?
The predecessor of a whole number is one less than the given number.
So, the predecessor of -12 is
-12 - 1 = -13
Study the statements given below and select the correct answer. Statement 1 - Numbers which are only divisible by 1 and itself are prime numbers. Statement 2 - 1 is a prime number.
Statement 1 - Numbers which are only divisible by 1 and itself are prime numbers. This statement is true. For example, 3 , 5 , 7 , etc.
Statement 2 - 1 is a prime number . This statement is false. As 1 has only one factor, i.e. 1.
Find the value of x in the given expression.
445.21 + 145.71 = x – 215.44
590.92 = x – 215.44
x= 590.92+215.44
x = 806.36
Jack had Rs. 54000 in the bank. He wanted to distribute the money among his 3 children; P, Q and R. P gets 3/4 of what Q gets and Q gets 1/5 of what R gets. What would be the share of Q?
Let share of R be Rs. 20a So, share of Q = 1/5 × Rs. 20a = Rs. 4a Share of P = 3/4 × Rs. 4a = Rs. 3a Now, Rs.(3a + 4a + 20a) = Rs. 27a = Rs. 54000 Or a = 2000 Thus, share of Q = Rs. 4a = Rs. 4 × 2000 = Rs. 8000
What are the composite factors of 42?
Composite numbers are the numbers which are divisible by more than 2 numbers.
So, factors of 42 = 1, 2, 3, 6, 7, 14, 21 and 42
So, composite factors are = 6, 14, 21 and 42
The length of a rectangular room is twice its breadth. If the breadth of the room is 4 m .Find it's area.
Length of the room = 2 × 4 m = 8 m
Breadth of the room = 4 m
Area of the rectangular room will be L × B
8 m × 4 m = 32 m2
Ram bought 1 kg cardamom at the rate of Rs. 75.26 per 250 g and 2 kg black pepper at the rate of Rs. 20.37 per 100 g. How much money did he pay?
Cost of 250 g cardamom = Rs. 75.26
Cost of 1 kg cardamom = Rs 75.26 × 4 = Rs 301.04
Cost of 100 g black pepper = Rs. 20.37
Cost of 2 kg black pepper = 20.37 × 20 = Rs. 407.4
Total money paid = Rs. 301.04 + Rs. 407.4 = Rs. 708.44
Shelly got 59 marks in Math, 52 marks in English and 51 marks in Science. John got 48 marks in Math, 32 marks in English and 54 marks in Science. How many marks did they score altogether?
Total marks that Shelly scored in all the three subjects = 59 + 52 + 51 = 162 marks.
Total marks that John scored in all the three subjects = 48 + 32 + 54 = 134 marks.
Marks they scored altogether = 162 + 134 = 296 marks.
The marks obtained out of 15 by 20 students in a test are listed below: 6, 8, 9, 14, 11, 13, 10, 8, 7, 10, 12, 10, 14, 5, 8, 4, 12, 13, 8 and 10. The number of students whose marks are more than 8 is
Number of students whose marks are more than 8 is 12.
9, 14, 11, 13, 10, 10, 12, 10, 14, 12, 13 and 10
A movie star organised a rock show for charity. The cost of one early bird ticket is Rs. 150.50 and VIP a ticket is Rs. 255.50. He gave away 159 early bird tickets and 108 VIP tickets to children of the charity. What is the total cost of the tickets that he gave away for free?
The cost of one early bird ticket = Rs. 150.50 Cost of 159 early bird tickets = 159 × Rs. 150.50 = Rs. 23,929.5 Cost of one VIP ticket = Rs. 255.5 Cost of 108 VIP tickets = Rs.255.5 × 108 = Rs. 27,594 So, total cost of tickets he gave away for free =Rs. 23,929.5 + 27,594 = Rs. 51,523.5
There was a fair in a school for 2 days. The earning on the first day was Rs. 3657 and on the second day was Rs. 4671. Find the total earning of the school from the fair.
Earning on the first day = Rs. 3657
Earning on the second day = Rs. 4671
Total earning = Rs. 3657 + Rs. 4671 = Rs. 8328
Fatima scores 2578 points in an online game. To clear that level, she needs 5000 points in total. How many more points does she need to go to the next level of the game?
Total points needed = 5000
Current points of Fatima = 2578
Points required = 5000 - 2578 = 2422
The number of students in each class of a school is 25. The fee paid by each student is Rs. 812 per month. If there are 40 classes in the school, what is the total fee collected in a month?
Number of students in a class = 25 Fee paid by 1 student = Rs. 812 Fee paid by all the students of a class = 25 × 812 = Rs. 20,300 Total number of classes = 40 So, total fee collected in a month = 40 × 20,300 = Rs. 8,12,000
There are four friends: P, Q, R and S. A sum of money is distribured among the four friends in the ratio 7 : 6 : 5 : 3, respectively. P's share is Rs. 3000 more than R's share. How much money does S get?
Let the shares of P, Q , R and S be Rs. 7x, Rs. 6x, Rs. 5x and Rs. 3x, respectively.
Now, Rs. (7x – 5x) = Rs. 3000
2x = 3000
x = 3000/2
x = 1500
Share of S = Rs. 3x = Rs. 3 × 1500 = Rs. 4500
The cost of 3 bats and 5 balls is Rs. 2400. The cost of 2 bats and 8 balls is Rs. 3000. How much money is needed to buy 5 balls?
Let the cost of a bat be Rs. x.
Let the cost of a ball be Rs. y.
Now, 2 (3x + 5y = 2400)
3 (2x + 8y = 3000)
6x + 10y = 4800 ...(i)
6x + 24y = 9000 ...(ii)
Subtracting (i) from (ii) and solving for y, we get y = 300
Cost of 5 balls = Rs. 300 × 5 = Rs. 1500
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