Simplification Questions for SBI PO with Answers
Simplify the following equation
$$ {\sqrt{(1-sin^{2}θ) ÷{(1-cos^{2}θ)}}}$$
(A) tan θ
(B) cot θ
(C) sec θ
(D) cosec θ
Correct Answer : B
If 0.5x + 0.7y=0.5 and 0.7x + 0.5y=0.7,then the value of x+y is
(A) 1.2
(B) 1
(C) 0.5
(D) 0.7
Correct Answer : B
$$ {4\over 5}×[{1\over 2}\ of\ 25]+12÷{3\over 4}-32=?$$
(A) 8
(B) –2
(C) –6
(D) 12
Correct Answer : C
If 12x – 15 y =9x + 5y, the value of $$ {x^{2}+{y^{2}}\over{x^{2}-y^{2}}}$$ is
(A) $$ {23\over 17}$$
(B) $$ {391\over 409}$$
(C) $$ {400\over 9}$$
(D) $$ {409\over 391}$$
Correct Answer : D
The Value of $$ {\sqrt{6-\sqrt{17-2\sqrt{72}}}}$$ is closest to:
(A) 2.1
(B) 2.7
(C) 2.4
(D) 1.8
Correct Answer : C
If 2x + 3y - 5z = 18 , 3x + 2y + z = 29 and x + y + 3z = 17 , then what is the value of xy + yz + zx ?
(A) 32
(B) 46
(C) 64
(D) 52
Correct Answer : D
The sum of two numbers is 29, the difference between the squares of those numbers is 145. There will be a difference of those numbers.
(A) 13
(B) 8
(C) 11
(D) 5
Correct Answer : D
In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings?
(A) 0
(B) 2
(C) 7
(D) 3
Correct Answer : D
If 1.5 a=0.04 b then $$ {b-a\over b+a}$$.
(A) $$ {77\over 33}$$
(B) $$ {73\over 77}$$
(C) $$ {2\over 75}$$
(D) $$ {75\over 2}$$
Correct Answer : B
The weight of a bucket full of water is 36 kg. If the weight of a half-filled bucket is 21 kg, what will be the weight of the empty bucket?
(A) 10 kg
(B) 8 kg
(C) 6 kg
(D) 12 kg
Correct Answer : C