The simple interest on Rs. 4000 in 3 years at the rate of x% per annum equals the simple interest on Rs. 5000 at the rate of 12% per annum in 2 years. The value of x is
8%
9%
10%
6%
Answer : Option C.
If x2 – 3x + 1 = 0, then the value of x2 + x + 1/x + 1/x2 is
6
8
10
2
Answer : Option C.
x2 – 3x + 1 = 0
⇒ x2 + 1 = 3x
Dividing both sides by x, => x + 1/x = 3
If (4x-3)/x + (4y-3)/y + (4z-3)/z = 0, then the value of 1/x + 1/y + 1/z is
4
6
9
3
Answer : Option A.
Find the simplest value of 2√50 + √18 - √72 (given √2 = 1.414)
10.312
8.484
4.242
9.898
Answer : Option D.
Expression
If a2 + b2 + 4c2 = 2(a + b – 2c) – 3 and a, b, c are real, then the value of (a2 + b2 + c2) is
A number x when divided by 289 leaves 18 as a remainder. Find the remainder when the same number is divided by 17.
3
1
5
2
Answer : Option B.
Here, the first divisor (289) is a multiple of second divisor (17)
∴ Required remainder = Remainder obtained on dividing 18 by 17 = 1. Hence the answer is option 2.
An equation of the form ax + by + c = 0 where a ≠ 0, b ≠ 0, c = 0 represents a straight line which passes through
(0, 0)
(3, 2)
(2, 4)
None of these
Answer : Option A.
Ax+by+c = 0
When c = 0 ax+by = 0
by = -ax ⇒ y = -a/b x
when x = 0, y = 0 i.e., this line passes through the origin (0,0)
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.
-4/8
2/7
3/8
3/7
Answer : Option D.
Original fraction = (x-4)/x
In case II,
8(x-4-2) = x+1 ⇒ 8x+48 = x+1
⇒ 7x=49 ⇒ x=7
∴Original fraction
= (7-4)/7 = 3/7
If x2 = y + z, y2 = z + x and z2 = x + y then the value of 1/(1+x) + 1/(1+y) + 1/(1+z) is
2
0
-1
1
Answer : Option D.
In a triangle ABC, ∠A = 90°, ∠C = 55°, AD⊥BC. What is the value of ∠BAD?
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