Simplification Questions and Answers for SSC and Bank Exams
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
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
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 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
What is the value of $${0.74×1.23×0.13\over (0.37)^{3}+(0.41)^{3}-8(0.39)^{3}}$$ ?
(A) 1
(B) $$ {-1\over 3}$$
(C) $$ {1\over 3}$$
(D) -1
Correct Answer : B
The value of $$ {\sqrt{0.6912}+{\sqrt{0.5292}}\over {\sqrt{0.6912}-{\sqrt{0.5292}}}}$$ is:
(A) 15
(B) 1.5
(C) 0.9
(D) 9
Correct Answer : A
What is the value of x $$ {0.081\over x}={0.09\over10}$$ ?
(A) 0.9
(B) 0.09
(C) 9
(D) 0.0009
Correct Answer : C
What will be the total number of pieces if the length of $$ {5}{1\over4}$$ the rib is cut to 3/4 m length?
(A) 3
(B) 5
(C) 6
(D) 7
Correct Answer : D
3x2 = 36 then what is the value of x?
(A) $$ {2\sqrt{3}}$$
(B) 3
(C) $$ -{2\sqrt{3}}$$
(D) $$ {2\sqrt{3}}$$ or $$ -{2\sqrt{3}}$$
Correct Answer : D
The price of one eraser is Rs. 3. The value of 20 eraser is equal to the value of three Pens. The value of one pen is equal to the value of two pencils and the value of six pencils is equal to the value of five markers. What is the value of one marker?
(A) Rs. 9
(B) Rs. 12
(C) Rs. 13.50
(D) Rs. 15
Correct Answer : B