Directions: A series is given with one (or more) term missing. Choose the correct alternative from the given ones that will complete the series.
BDF, ?, PRT, WYA

Solution
Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it ?
bca_b_aabc_a_caa

Solution
b c a a I b c a a I b c a a I b c a a
Directions: Find the odd word / letters / number from the given alternatives.

Solution
All the others are units of length.
Directions: Find the odd word / letters / number from the given alternatives.

Solution
All the others completely divisible by 4.
Directions: Select the related letters/word/number from the given alternatives.
CHAIR : RIAHC TABLE : ?

Solution
As, CHAIR ⇒ RIAHC
12345 54321Similarly, TABLE ⇒ ELBAT
12345 54321
A sphere and a hemisphere have the same volume. The ratio of their curved surface areas is

Solution
\(frac{4}{3}pi r^{3}=frac{2}{3}pi r_{3}^{1}\)
\(Rightarrow 2r^{3}=r_{1}^{3}Rightarrow frac{r}{r_{1}}=frac{1}{2frac{1}{3}}\)
\(∴Required ratio =frac{4pi r^{2}}{2pi r_{2}^{1}}=2left ( frac{r}{r_{1}} right )^{2}=2left ( frac{1}{2frac{1}{3}} right )^{2}\)
\(= 2 times 2frac{2}{3} : 1 = 2frac{1}{3} : 1\)
Directions : Arrange the following words as per order in the dictionary.
1. Noble
2. Nobilitary
3. Noblesses
4. Nobility
5. Nobble
India’s Balance of Payments can be corrected through
The best example of a capital intensive industry in India is
Which of the following is an inverted “U” shaped curve?
Per capita income =
Which city has the headquarters of two railway zones in India?

Solution
Mumbai has headquarters of two railway zones  Central Railway and Western Railway.
In the following question, number of letters are skipped in between by a particular rule. Which of the following series observes the rule?

Solution
Find out the set of numbers amongst the four sets of numbers given in the alternatives which is most like the set given in the question. Given set: (8,56,72)

Solution
As, 8 × 7 = 56 and 8 × 9 = 72
Similarly, 6 × 7 = 42 and 6 × 9 = 54
Find the number that does not belong to the group of numbers for lack of common property?

Solution
In all others,9 = 4 + 5, 7 = 4 + 3 and 8 = 5 + 3
In in a certain code, 95789 is written as EGKPT and 2436 is written as ALUR,then how will 24539 be written in that code?

Solution
95789 ⇒ EGKPT and
2436 ⇒ ALUR
∴ 24539 ⇒ ALGUT
If in a certain language, PLAYER is coded as QNDCJX, then how SINGER will be coded in the same language?

Solution
Which is greater \(\sqrt[3]{2} \;\; or \;\; \sqrt{3} \;\;?\)

Solution
\(sqrt[3]{2} = 2^{frac{1}{3}} = 2^{frac{2}{6}} = sqrt[6]{4}\)
\(sqrt{3} = 3^{frac{1}{2}} = 3^{frac{3}{6}} = sqrt[6]{27}\)
∴ \(sqrt{3} > sqrt[3]{2}\)
The equation \(cos^{2}\theta = \frac{\left ( x + y \right )^{2}}{4xy}\) is only possible when

Solution
cos^{2}θ ≤ 1
∴ \(frac{left ( x + y right )^{2}}{4xy} leq 1 Rightarrow left ( x + y right )^{2}  4xy leq 0\)
⇒ (x  y)^{2} ≥ 0 ⇔ x = y
If the sum of the digits of any integer lying between 100 and 1000 is subtracted from the number, the result always is

Solution
Number = 1OOx + 1Oy + Z
Sum of digits = x + y + z
Difference = 100x + 1Oy + z  x  y  z
= 99x + 9y = 9(11x + y)
Clearly, the result is always divisible by 9.