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Q:

Find the Missing number in the given number series?

5, 9, 15, 23, ?, 45

A) 33	B) 29
C) 31	D) 35

Answer & Explanation Answer: A) 33

Explanation:

The given series follows a pattern that,

+4, +6, +8, +10, +12...

5

5 + 4 = 9

9 + 6 = 15

15 + 8 = 23

23 + 10 = 33

33 + 12 = 45

Hence, the missing number in the series is 33.

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Q:

Which one of the following is not a prime number?

A) 91	B) 71
C) 41	D) 31

Answer & Explanation Answer: A) 91

Explanation:

Prime Numbers :: Numbers which are divisible by only 1 and itself are Prime Numbers.

It's answer will be 91.

Because 91 can be divisible by 7,13,91,1.

It is quite clear that prime number should be divisible only by itself and by 1.

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Q:

Find the next number in the number series?

1, 4, 12, 32, ?

A) 80	B) 100
C) 192	D) 169

Answer & Explanation Answer: A) 80

Explanation:

Next number of the sequence 1, 4, 12, 32,...

1 = 2 x $2^{0}$

4 = 2 x $2^{1}$

12 = 3 x $2^{2}$

32 = 4 x $2^{3}$

80 = 5 x $2^{4}$ .

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Q:

Find the missing number in the given number series?

514, 470, ?, 415, 404

A) 441	B) 437
C) 426	D) 420

Answer & Explanation Answer: B) 437

Explanation:

Given number series is 514 470 ? 415 404

Here the pattern it follows is

514

514 - 44 = 470

470 - 33 = 437

437 - 22 = 415

415 - 11 = 404

Hence, the missing number in the given number series is 437.

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Q:

The oxidation number of Cr in $K_{2} {Cr}_{2} O_{7}$ is

A) +6	B) -5
C) +3	D) -4

Answer & Explanation Answer: A) +6

Explanation:

We will rewrite the formula as an equation.

2K + 2Cr + 7O = 0

The zero comes from there being no overall charge on the compound.

Each oxidation number is represented by the element's symbol.

Since this compound is not a peroxide or superoxide, the oxidation value for O is -2

K being in group 1 has a +1 charge and therefore has an oxidation number of K is +1

Now, by putting known values in we have:

2(+1) + 2(Cr) + 7(-2) = 0

2 + 2Cr -14 = 0

2Cr = +12

Cr = +6.

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Q:

Find the missing number?

5 19 49 101 181 295 ?

A) 401	B) 351
C) 449	D) 501

Answer & Explanation Answer: C) 449

Explanation:

Given number series is 5 19 49 101 181 295 ?

Here the series follows pattern that

5 19 49 101 181 295 ?

14 30 52 80 114 (difference)

16 22 28 34 (difference)

6 6 6 (Common difference)

Therefore, the missing number in the series is ? = 295 + 115 + 34 + 6 = 449.

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Q:

7, 11, 19, 35, ?

Find the next number in the given number series?

A) 131	B) 94
C) 83	D) 67

Answer & Explanation Answer: D) 67

Explanation:

Here the given series 7, 11, 19, 35, ?

follows a pattern that (x 2 - 3) i.e,

7

7 x 2 - 3 = 11

11 x 2 - 3 = 19

19 x 2 - 3 = 35

35 x 2 - 3 = 67

67 x 2 - 3 = 131

Hence the next number in the given number series is 67.

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Q:

The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements?

A) 4320	B) 4694
C) 4957	D) 4871

Answer & Explanation Answer: A) 4320

Explanation:

Given Word is PROMISE.

Number of letters in the word PROMISE = 7

Number of ways 7 letters can be arranged = 7! ways

Number of Vowels in word PROMISE = 3 (O, I, E)

Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways

Now, the number of ways of arrangements so that three vowels should not come together

= 7! - (5! x 3!) ways = 5040 - 720 = 4320.

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