Number Series & Mathematical Puzzles Fading

A toy T jumps forward or backward. In each forward jump, it moves 5' forward whereas in each backward jump, it moves 2' backward. If in 31 jumps, T moves exactly 15' forward, then what is the difference of the number of

In a sequence of numbers, each number other than the first two is the sum of the two immediately preceding numbers. If the first two numbers in the sequence are 4 and 7, then the sixth number is

What is X in the sequence 24, X, 12, 18, 36, 90 ?

What is X in the sequence 1, 3, 6, 11, 18, X, 42 ?

On January 1st, 2023, a person saved ₹ 1. On January 2nd, 2023, he saved ₹ 2 more than that on the previous day. On January 3rd, 2023, he saved ₹ 2 more than that on the previous day and so on. At the end of which date w

What will come in place of * in the sequence 3, 14, 39, 84, *, 258?

40 children are standing in a circle and one of them (say child-1) has a ring. The ring is passed clockwise. Child-1 passes on to child-2, child-2 passes on to child-4, child-4 passes on to child-7 and so on. After how m

What is the value of X in the sequence 20, 10, 10, 15, 30, 75, X?

On one side of a 1.01 km long road, 101 plants are planted at equal distance from each other. What is the total distance between 5 consecutive plants?

A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more to D. The number of coins D has now, is the smallest two-digit number. How man

Five friends P, Q, X, Y and Z purchased some notebooks. The relevant information is given below : 1. Z purchased 8 notebooks more than X did. 2. P and Q together purchased 21 notebooks. 3. Q purchased 5 notebooks less t

What is the value of X in the sequence 2, 12, 36, 80, 150, X?

The sum of three consecutive integers is equal to their product. How many such possibilities are there?

From January 1, 2021, the price of petrol (in Rupees per litre) on mᵗʰ day of the year is 80 + 0.1m, where m = 1, 2, 3, ..., 100 and thereafter remains constant. On the other hand, the price of diesel (in Rupees per litr

A biology class at high school predicted that a local population of animals will double in size every 12 years. The population at the beginning of the year 2021 was estimated to be 50 animals. If P represents the populat

A boy plays with a ball and he drops it from a height of 1.5 m. Every time the ball hits the ground, it bounces back to attain a height 4/5ᵗʰ of the previous height. The ball does not bounce further if the previous heigh

Replace the incorrect term by the correct term in the given sequence 3, 2, 7, 4, 13, 10, 21, 18, 31, 28, 43, 40 where odd terms and even terms follow the same pattern.

You are given two identical sequences in two rows : Sequence-I : 8, 4, 6, 15, 52.5, 236.25 Sequence-II : 5, A, B, C, D, E What is the entry in the place of C for the Sequence-II ?

What is the value of 'X' in the sequence 2, 7, 22, 67, 202, X, 1822 ?

Jay and Vijay spent an equal amount of money to buy some pens and special pencils of the same quality from the same store. If Jay bought 3 pens and 5 pencils, and Vijay bought 2 pens and 7 pencils, then which one of the

A person P asks one of his three friends X as to how much money he had. X replied, "If Y gives me ₹ 40, then Y will have half of as much as Z, but if Z gives me ₹ 40, then three of us will have equal amount." What is the

In an objective type test of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions, a student got a total of 387 marks. What is

Consider the following statements : 1. The sum of 5 consecutive integers can be 100. 2. The product of three consecutive natural numbers can be equal to their sum. Which of the above statements is/are correct ?

Let p, q, r and s be natural numbers such that p − 2016 = q + 2017 = r − 2018 = s + 2019 Which one of the following is the largest natural number?

A simple mathematical operation in each number of the sequence 14, 18, 20, 24, 30, 32, ... results in a sequence with respect to prime numbers. Which one of the following is the next number in the sequence?

One page is torn from a booklet whose pages are numbered in the usual manner starting from the first page as 1. The sum of the numbers on the remaining pages is 195. The torn page contains which of the following numbers?

A vessel full of water weighs 40 kg. If it is one-third filled, its weight becomes 20 kg. What is the weight of the empty vessel?

Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent ₹ 1300 and Rajesh spent ₹ 1500. If each racket costs three times a ball does, then what is the price of a racket ?

If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct ?

What is X in the sequence 132, 129, 124, 117, 106, 93, X ?

What is X in the sequence 4, 196, 16, 144, 36, 100, 64, X ?

Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the lengt

If X is between −3 and −1, and Y is between −1 and 1, then X² − Y² is in between which of the following?

X and Y are natural numbers other than 1, and Y is greater than X. Which of the following represents the largest number?

A bookseller sold 'a' number of Geography textbooks at the rate of ₹ x per book, 'a + 2' number of History textbooks at the rate of ₹ (x + 2) per book and 'a − 2' number of Mathematics textbooks at the rate of ₹ (x − 2)

If x − y = 8, then which of the following must be true? 1. Both x and y must be positive for any value of x and y. 2. If x is positive, y must be negative for any value of x and y. 3. If x is negative, y must be positiv

P = (40% of A) + (65% of B) and Q = (50% of A) + (50% of B), where A is greater than B. In this context, which of the following statements is correct?

Six boys A, B, C, D, E and F play a game of cards. Each has a pack of 10 cards. F borrows 2 cards from A and gives away 5 to C who in turn gives 3 to B while B gives 6 to D who passes on 1 to E. Then the number of cards