Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 81

EASY

CAT

IMPORTANT

Earn 100

If $\frac{p}{q}$ and $\frac{r}{s}$ are two rational numbers then the relation $|\frac{p}{q}| < |\frac{r}{s}|$ is:

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Important Questions on Number System

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 82

If

u^{v} + v^{w} + w^{x} = 0

for every negative integer

u, v, w, x

, the value of

u \times v \times w \times x

is necessarily be:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 83

The unit digit of

2^{3^{4}} \times 3^{4^{5}} \times 4^{5^{6}} \times 5^{6^{7}} \times 6^{7^{8}} \times 7^{8^{9}}

is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 84

If

(a - 7) (b - 10) (c - 12) = 1000

, the least possible value of

(a + b + c)

equals:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 88

The remainder R when

3^{37} + 4^{37}

is divided by

7

is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 90

The factorial of a number n is exactly divisible by

(2^{11} \times 11^{2})

then the least possible value of n is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 91

The number of zeros at the end of the product of:

2^{3} \times 3^{4} \times 4^{5} \times 5^{6} + 3^{5} \times 5^{7} \times 7^{9} \times 8^{10} + 4^{5} \times 5^{6} \times 6^{7} \times 7^{8} - 10^{2} \times 15^{3} \times 20^{4}

is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 96

When

(55)_{10}

is represented in base

25

then the expression is:

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 1 - SNAP>CMAT>Q 98

While typing the numbers from

600

to

799

, a typist typed

8

whenever he was supposed to type

6

. So the total number of times he has typed

8

is: