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Given below a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
What is the principal sum?
I. The sum amounts to Rs 690 in 3 years at S.I.
II. The sum amounts to Rs 1150 in 5 years at S.I.
III. The rate of interest is 5% p.a.

AI and III only
BII and III only
CI and II only
DAny two of the three

The mean of three numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be highest possible number of remaining two numbers?

A81
B40
C100
D71

The standard from of 2 million × 15 lakh is ______ .

A3.0 × 10¹²
B3.0 × 10¹³
C3.0 × 10¹⁴
D3.0 × 10¹⁵

If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is ______ two right angles.

A Equal to
B More than
C Less than
D Can't be determined

O is the centre of the circle having radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. If OA meets BC at P, then OP = _______.


A3.6 cm
B1.4 cm
C2 cm
D3 cm

If a^x = b^y = c^z and b² = ac, then y equals

A
B
C
D

Amar wrote exams in four subjects - Physics, Chemistry, Biology and Social Studies. The ratio of marks he got in these exams was 2 : 3 : 4 : 5. He got an aggregate of 70% in these exams. Each exam had the same maximum marks. In how many of these exams did he get more than 50%?

A 1
B 2
C 3
D 4

Two rows of number are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the rows of numbers is to be answered. The operations of numbers progress from left to right.
Rules :
(i) If a two-digit even number is followed by another even number, the first one is to be divided by the second one.
(ii) If an even number is followed by a prime number, the two are to be multiplied.
(iii) If an odd number is followed by another odd number, the two are to be added.
(iv) If a three-digit number is followed by a two-digit number which is a perfect square, the second number is to be subtracted from the first number.
(v) If a three-digit number is followed by a two-digit number which is not a perfect square, the first number is to be divided by the second number.
84 14 13
360 24 17
What is the difference between the resultants of the first row and the second row?

A 100
B 46
C 56
D 90

In which of the following options, a unique triangle cannot be drawn?

APQ = 6 cm, QR = 9 cm and RP = 4 cm
BQR = 10 cm, ∠Q = 70° and ∠R = 60°
CAn equilateral triangle with the length of side 5 cm.
DAn isosceles triangle with the length of each equal side 4 cm.

The area of a square field is sq. m. The length of each side of the field, is ____.

A 8.96 m
B 10.26 m
C 13.54 m
D 12.26 m