Railway Aptitude Questions and Answers for Exams
If $$ {x+{1\over x}=\sqrt{3}}$$ then $$ {x^{48}+x^{378\over7}+x^{726\over11}+x^{60}}$$ is equal to
(A) 1
(B) 0
(C) -1
(D) 2
Correct Answer : B
Rs. 1,080 invested for 3 months gave an interest of Rs. 27. The simple rate of interest per annum was :
(A) 2.5%
(B) 5%
(C) 7.5%
(D) 10%
Correct Answer : D
The LCM of two consecutive even numbers is 144, find the numbers?
(A) 16 and 18
(B) 14 and 16
(C) 18 and 20
(D) 22 and 24
Correct Answer : A
Abdul prepared 42 litres of medicine and filled it in bottles of 280 ml each. Find how many bottle would be required?
(A) 15
(B) 1500
(C) 150
(D) 300
Correct Answer : C
Panu, Jiban and Jalil can complete a certain task individually in 30, 20 and 60 days, respectively. Jiban started work on the task and Panu and Jalil agreed to help Jiban on every third day. How many days will it take to complete the task?
(A) 13
(B) 12
(C) 14
(D) 15
Correct Answer : D
A sum of Rs. 110 is in the form of Rs. 2, Rs. 1 and 50 paise coins in the ratio of 1 : 2 : 3, respectively. How many 50 paise coins are there?
(A) 20
(B) 60
(C) 40
(D) 80
Correct Answer : B
What is the HCF of 16, 72 and 28 ?
(A) 3
(B) 4
(C) 2
(D) 1
Correct Answer : B
The HCF of two numbers is 4 and the two other factors of LCM are 5 and 7. Find the smaller of the two numbers.
(A) 10
(B) 14
(C) 20
(D) 28
Correct Answer : C
If 5sinθ – 4cosθ=0, 0°˂θ˂90°, then the value of $$ {5\sinθ-2\cosθ}\over {5\sinθ+3\cosθ}$$ is:
(A) $$ {3\over 8}$$
(B) $$ {2\over 7}$$
(C) $$ {5\over 7}$$
(D) $$ {3\over 5}$$
Correct Answer : B
The ratio of the efficiencies of A. B and C is 7: 5: 4. Working together, they can finish a work in 35 days. A and B work together for 28 days. The remaining work will be completed (in days) by C alone:
(A) 60
(B) 63
(C) 56
(D) 49
Correct Answer : C