Question 1:
After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?
[1] 80
[2] 75
[3] 41
[4] 53
Question 2:
A boy is asked to put one mango in a basket when ordered 'One', one orange when ordered 'Two', one apple when ordered 'Three', and is asked to take out from the basket one mango and an orange when ordered 'Four'. A sequence of orders is given as: 1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4
[1] 1
[2] 4
[3] 3
[4] 2
Question 3:
A boy is asked to put one mango in a basket when ordered 'One', one orange when ordered 'Two', one apple when ordered 'Three', and is asked to take out from the basket one mango and an orange when ordered 'Four'. A sequence of orders is given as: 1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4
[1] 9
[2] 8
[3] 11
[4] 10
Question 4:
If u, v, w and m are natural numbers such that um+ vm= wm, then which one of the following is
[1] m ≥ min(u, v, w)
[2] m ≥ max(u, v, w)
[3] m < min(u, v, w)
[4] None of these
Question 5:
\({7^{6n}}-{6^{6n}}\), where n is an integer > 0, is divisible by
[1] 13
[2] 127
[3] 559
[4] All of these
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After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?
Topic: Remainders
[1] 80
[2] 75
[3] 41
[4] 53
Option: 4
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Online CAT 2022 Quant Course
Question 2:
A boy is asked to put one mango in a basket when ordered 'One', one orange when ordered 'Two', one apple when ordered 'Three', and is asked to take out from the basket one mango and an orange when ordered 'Four'. A sequence of orders is given as: 1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4
How many total oranges were in the basket at the end of the above sequence?
Topic: Basics
[1] 1
[2] 4
[3] 3
[4] 2
Option: 4
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Online CAT 2022 Quant Course
Question 3:
A boy is asked to put one mango in a basket when ordered 'One', one orange when ordered 'Two', one apple when ordered 'Three', and is asked to take out from the basket one mango and an orange when ordered 'Four'. A sequence of orders is given as: 1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4
How many total fruits will be in the basket at the end of the above order sequence?
Topic: Basics
[1] 9
[2] 8
[3] 11
[4] 10
Option: 3
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Online CAT 2022 Quant Course
Question 4:
If u, v, w and m are natural numbers such that um+ vm= wm, then which one of the following is
true ?
Topic: Basics
[1] m ≥ min(u, v, w)
[2] m ≥ max(u, v, w)
[3] m < min(u, v, w)
[4] None of these
Option: 4
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Online CAT 2022 Quant Course
Question 5:
\({7^{6n}}-{6^{6n}}\), where n is an integer > 0, is divisible by
Topic: Divisibility
[1] 13
[2] 127
[3] 559
[4] All of these
Option: 4
Online CAT 2022 Quant Course
Online CAT 2022 Quant Course
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