For any two real numbers a and b. a-b2+b-a2 | Quantitative Aptitude - Arithmetic Ability Questions & Answers

Q:

What will come in place of the question mark (?) in the following number series?

17, 98, 26, 89, 35, ?

A) 80	B) 75
C) 67	D) 53

Answer & Explanation Answer: A) 80

Explanation:

1. Ans. A.
98 = 17 + 81
26 = 98 – 72
89 = 26 + 63
35 = 89 – 54
? = 35 + 45, i.e. ? = 80

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2 18277

Q:

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is -

A) 3:2	B) 2:3
C) 5:7	D) 7:5

Answer & Explanation Answer: B) 2:3

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And, height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

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1 1646

Q:

Point Q(-1,b) is the midpoint of segment EF. Co-ordinates of point E are (-4,a) and point F are (2,0). What is the value of a and b?

A) a = 2; b = 1	B) a = -2; b = -1
C) a = -4; b = -8	D) a = 4; b = 8

Answer & Explanation Answer: B) a = -2; b = -1

Explanation:

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Q:

What value should come in place of question mark (?) in the following question?

$44^{2} + 23^{2} = {(?)}^{2} + 4^{4}$

A) 47	B) 65
C) 52	D) 41

Answer & Explanation Answer: A) 47

Explanation:

$1936 + 529 = ?^{2} + 256 2465 = ?^{2} + 256 ?^{2} = 2465 - 256 ?^{2} = 2209 ? = 47$

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0 10793

Q:

What value should come in place of the question mark (?) in the following question?

$68 x \sqrt{?} - 3421 = 591$

A) 3249	B) 3481
C) 3364	D) 3136

Answer & Explanation Answer: B) 3481

Explanation:

$68 x \sqrt{?} - 3421 = 591 \sqrt{?} = 4012 / 68 ? = 59 x 59 ? = 3481$

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0 13015

Q:

What value should come in place of the question mark (?) in the following question?

${(?)}^{2} % of 650 = {(20)}^{2} + 4^{2}$

A) 8	B) 64
C) 8	D) 642

Answer & Explanation Answer: A) 8

Explanation:

$?^{2} = \frac{400 + 16}{650} x 100 ? = 8$

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0 10908

Q:

What value should come in place of the question mark (?) in the following question?

$\frac{5^{2} x 14 + 1450}{18} = 1998 \div ?$

A) 18.25	B) 19.98
C) 34.58	D) 65.25

Answer & Explanation Answer: B) 19.98

Explanation:

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Q:

What should come at the place of question mark (?) in the following question?

$4 \frac{3}{7} + 2 \frac{1}{6} - 4 \frac{1}{3} = ? - 2 \frac{3}{4}$

A) 2.79	B) 5.01
C) 4.29	D) 6.36

A) always zero	B) never zero
C) positive only if a ≠ b	D) positive if an only if a > b

For any two real numbers a and b.

$\sqrt{{(a - b)}^{2}} + \sqrt{{(b - a)}^{2}}$ is

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For any two real numbers a and b. a-b2+b-a2 is

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For any two real numbers a and b.

$\sqrt{{(a - b)}^{2}} + \sqrt{{(b - a)}^{2}}$ is