Anu is older than Sejal
Mahi is older than Anu but younger than Kriti.
Kriti is older than Sejal.
Sejal is younger than Mahi.
Gayatri is the oldest.
Who is youngest?
1. Kriti
2. Anu
3. Mahi
4. Sejal
Let the first letter of the name of each girl denote her age. From (1) A>S From (2) K>M>A From (3) K>S From (4) SM>A>S Combining these, we get : K>M>A>S Since Gayatri is the eldest, so we have G> K>M>A>S Sejal is the youngest.
For how many positive integers n each of the numbers n + 1, n + 3, n + 7, n + 9, n + 13 and n + 15 is prime?
All the given numbers when divided by 5 gives all possible remainders with 5 i.e. there will be always one number which is multiple of 5. So n has to be less than 5. After checking the first four positive integers, it is easy to find that only n = 4 satisfy.
The cricket match between India and England was over. Rohit scored more runs than Shikhar. Kohli scored more runs than Pant but less than Karthik, Rayudu scored as much runs as Pandya but less than Karthik and more than Kohli. Shikhar scored more runs than either Pandya or Karthik. Each batsman scored 5 runs more than his immediate batsman. The lowest score was 20 runs.
How much did each one of them score?
Use the given facts and put down all the players in order. The order is as follow with Rohit, the highest scorer and Pant, the lowest scorer. Rohit – 45 Shikhar – 40 Karthik – 35 Rayudu, Pandya – 30 Kohli – 25 Pant – 20
Let f(x) = ax2 + bx + c such that a, b , c are real numbers and a> 0. Also it is known that f(1) = 1, f(2) = 2, and f(3) = 5. Find f(4) .
1. 10
2. 11
3. 12
3. 14
f(x) = a(x – 1)(x – 2) + x so that f(1) = 1 and f(2) = 2 If we put x = 3, we get f(3) = a(3 – 1)(3 – 2) + 3 = 2a + 3 = 5 (given). So a = 1 and f(x) = (x – 1)(x – 2) + x Thus f(4) = (4 – 1)(4 – 2) + 4 = 10.
Let the product of first thousand even positive integers is A and product of first thousand odd positive integers is B. Find the remainder when A – B is divided by 2001?
1. 2000
2. 1
3. 0
4. None of these
A = 2 × 4 × 6 × … ×1000 × 1002 × … × 1098 × 2000 ≡ (-1999) × (-1997) × (-1995) ×…× (-1001) × (-999) × … × (-3) × (-1) mod 2001 ≡ B mod 2001. => A – B ≡ 0 mod 2001.
Find the relationship in the series D, N, O, S, A, J, J and also find the next alphabet?
These alphabets are the initials of the months in the reverse order i.e. December, November, October, September, August, July & June. Thus, the next alphabet in the series will be M (May).
A man was travelling upstream in a river. His hat falls down in the river. 10 minutes later he realized that he has dropped his hat in the river so he immediately turns back his boat to catch the hat. After how much more time he will be able to catch the hat? (hat floats in the river)
The speed at which the hat and the boat are moving away from each other is W + (B-W) = B Also, the speed at which boat and hat are coming close to each other is (B+W) – W + B. So, meeting time should be 10 minutes.
Five cricketers ran a 1000m race. No two players ended at same position. Vijay did not come first. Rohit was neither first nor last. Virat came in one place after Vijay. Rahul was not second. Rishabh was two place below Rahul. In what order did they finish?
