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• Fill in the next line:

9 7 5 9 4 9
6 3 4 5 3 6
1 8 2 0 1 8

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anikam Expert
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• Make 100 using six 9. You can use addition, division and fraction.

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anikam Expert
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• Some toffees are equally divided amongst Sam, John and Mary. Each of them now consumes 6 toffees. The combined number of toffees now remaining equals the number of toffees each had just after division. How many toffees were divided amongst them?

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anikam Expert
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• One day a robber got into a bank to rob its vault. However, he noticed that the vault had an unusual lock. So he hid behind a desk and watched how others got in. He noticed that the manager came up to the vault door and pressed a button. The lock read out a number in response to which the manager said a number of his own. On doing so the door opened. This happened twice. The first time the lock said 12 and the manager responded with 6. The second time the lock said 6 and the manager responded with 3. Believing that now he knew all that he needed to know, the robber approached the door. The door said 10 and in reply the robber entered 5. It set of the alarm and the robber was apprehended.

What number do you think the robber should have said?

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anikam Expert
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• A man forgot the secret code to open his locker. But he remembers the following clues:

• Fifth number plus the third number equals fourteen.
• First number is one less than twice the second number.
• Fourth number is one more than the second number.
• Second number plus the third number equals ten.
• Sum of all five numbers is 30.

Can you find out the secret code to help him out?

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anikam Expert
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• Remove 6 liters of oil from a large oil container using only two mugs of 9 liter and 4 liter respectively.

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anikam Expert
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• 5   25   29   85   89   ?

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anikam Expert
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• Gracie went for a morning walk and met her old friend Suzie and her daughter Jennie after a long time. Gracie asked Suzie how old is Jennie to which Jennie replied “In two years I will be twice as old as I was three years ago”. How old is Jennie?

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anikam Expert
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• Two positive integers < 50 are chosen.
The sum is revealed to A
The sum of the squares is revealed to B.
Both A and B are given the information in this problem.

The conversation between them goes as follows:

• B: I can’t tell what the numbers are
• A: I can’t tell what the numbers are.
• B: I can’t tell what the numbers are.
• A: I can’t tell what the numbers are.
• B: I can’t tell what the numbers are.
• A: I can’t tell what the numbers are.
• B: Now I can tell what the numbers are.

What are the two numbers?

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• There is a unique number of ten digits, for which the following holds-

• all digits from 0 up to 9 occur exactly once in the number;
• the first digit is divisible by 1;
• the number formed by the first two digits is divisible by 2;
• the number formed by the first three digits is divisible by 3;
• the number formed by the first four digits is divisible by 4;
• the number formed by the first five digits is divisible by 5;
• the number formed by the first six digits is divisible by 6;
• the number formed by the first seven digits is divisible by 7;
• the number formed by the first eight digits is divisible by 8;
• the number formed by the first nine digits is divisible by 9;
• the number formed by the ten digits is divisible by 10.

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amol Scholar
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