RPF 16 Jan 2019

All the right angles are highlighted.

So, the answer would be option c)8

We can observe below pattern in the given series,

16, $$ 16 \times 2 + 3 $$, $$ 35 \times 2 - 3 $$, $$ 67 \times 2 + 3 $$, ...

Next number would be $$ 271 \times 2 + 3 $$ = 545

Statements: A < N ≤ C = I < E < T
Conclusions:
i) A < I -> A<N<I
ii) N < I -> N=C=I , so it is not necessary N < I

So, the answer would be option d)A

Withstand, Resist, Fight, Oppose carry similar meanings and are kind of synonyms whereas Surrender carries a different meaning. Hence, it doesn't belong to group.

Given,

A4B means A is the mother of B
A3B means A is the father of B
A5B means A is the son of B
A7B means A is the daughter of B

P is the mother of Q is the mother of R is the daughter of S

So, the answer would be option a) P4Q4R7S

ABCD is the table and the glass piece is placed inside.

Side of glass = $$\sqrt{1369}=37$$ cm

Width between glass and table = $$11$$ cm

=> Side of table = $$11+37+11=59$$ cm

=> Ans - (A)

Speed of train = 54 kmph = $$54\times\frac{5}{18}=15$$ m/s

Let length of bridge = $$x$$ m

Using, speed = distance/time

=> $$15=\frac{165+x}{33}$$

=> $$165+x=33\times15=495$$

=> $$x=495-165=330$$ m

=> Ans - (D)

Let number of employees in the firm initially = 100 and wages per head = Rs. 100

=> Total wages = $$100\times100=Rs.$$ $$10,000$$

Number of employees after increase of 17% = $$100+\frac{17}{100}\times100=117$$

Similarly, new wages per head = $$Rs.$$ $$83$$

=> New wages = $$83\times117=Rs.$$ $$9711$$

$$\therefore$$ Decrease in total wages = $$\frac{10000-9711}{10000}\times100=2.89\%$$

=> Ans - (C)

Let number of 1 rupee, 5 rupees and 10 rupees respectively be $$3x,5x$$ and $$7x$$

Total amount = $$(1\times3x)+(5\times5x)+(10\times7x)=2646$$

=> $$3x+25x+70x=2646$$

=> $$x=\frac{2646}{98}=27$$

$$\therefore$$ Number of 10 rupees coins = $$7\times27=189$$

=> Ans - (B)

The amount gets tripled in 7 years.

In case of compound interest, the amount will become $$3^n$$ times in $$7n$$ years

=> Final amount = $$27=(3)^3$$

Thus, after $$7\times3=21$$ years, amount will become 27 times.

=> Ans - (A)