[Download PDF] AP Police SI Mains 2019 Arithmetic and Reasoning Paper with Solutions

Instructions

A sequence of numbers or alphabets following a specific pattern is given. Fill in the blanks with suitable entry from the options that follows the same pattern.

Question 131

$$1\frac{1}{7}, 3\frac{6}{7}, 9\frac{1}{7}, 17\frac{6}{7}, ...........$$

Video Solution

Solution

$$1\ \frac{\ 1}{7}=\ \frac{\ 8}{7}=\ \frac{\ 2^3}{7}.$$

$$3\frac{\ 6}{7}=\ \frac{\ 27}{7}=\ \frac{\ 3^3}{7}.$$

$$9\frac{\ 1}{7}=\ \frac{\ 64}{7}=\ \frac{\ 4^3}{7}.$$

$$\ 17\frac{\ 6}{7}=\ \frac{\ 125}{7}=\ \frac{\ 5^3}{7}.$$

$$\ 30\frac{\ 6}{7}=\ \frac{\ 216}{7}=\ \frac{\ 6^3}{7}.$$

So, B is correct choice.

Question 132

14, 78, 252, 620, .......

Video Solution

Solution

$$2^4-2=14.$$

$$3^4-3=78.$$

$$4^4-4=252.$$

$$5^4-5=620.$$

$$6^4-6=1290.$$

So, A is correct choice.

Question 133

1, 4, 10, 20, .........

Video Solution

Solution

f(n)$$=\frac{n\left(n+1\right)\left(n+2\right)}{6}.$$

So,$$f(1)=1$$

$$f(2)=4$$

$$f(3)=10$$

$$f(4)=20$$

$$f(5)=35$$

So,B is correct choice.

Question 134

ABC, BDF, CFI, DHL, .......

Video Solution

Solution

$$ABC\longrightarrow\ $$ has no gap between letters.

$$BDF\longrightarrow\ $$ has one letter gap.

$$CFI\longrightarrow\ $$ has two letters gap between them.

$$DHL\longrightarrow\ $$ has three letters gap between them.

So, next word in the series is EJO(each letter has 4 gaps between them).

A is correct choice.

Question 135

B, C, E, G, .......

Video Solution

Solution

next letter of B is C.

After one letter of C is E.

So,4 letter after G is K.

So,C is correct choice.

Question 136

AZ, CW, FR, JK, .......

Video Solution

Solution

Using conversion table,

$$AZ=1+26=27.$$

$$CW=3+23=26.$$

$$FR=6+18=24.$$

$$JK=10+11=21.$$

So,27,26,24,21 are in difference of 1,2,3 respectively.

So,next number should be 17.

$$OB=15+2=17.$$

So, B is correct choice.

Question 137

BCE, CEG, EGK, GKM, ..........

Video Solution

Solution

Question 138

A, D, I, P, .........

Video Solution

Solution

$$A+3=D,\ D+5=I,\ I+7=P,\ P+9=Y.$$(using english alphabets system)

A is correct choice.

Instructions

Select the suitable entry from the given options that fills the blank in the following analogies.

Question 139

AFHE: IKMO:: ...... :UDFA

Video Solution

Solution

Using English alphabet conversion table ,difference between total of each word is same in given series.

So,IPRO is correct choice.

Question 140

3265 : 4376 :: 4673 : ......

Video Solution

Solution

3265:4376--->

$$32+11=43 and 65+11=76$$.

Similarly,

4673--> $$46+11=57 and 73+11=84$$.

So, required number is 5784.

A is correct choice.

CAT Content

AP Police SI Mains 2019 Arithmetic and Reasoning

$$1\frac{1}{7}, 3\frac{6}{7}, 9\frac{1}{7}, 17\frac{6}{7}, ...........$$

14, 78, 252, 620, .......

1, 4, 10, 20, .........

ABC, BDF, CFI, DHL, .......

B, C, E, G, .......

AZ, CW, FR, JK, .......

BCE, CEG, EGK, GKM, ..........

A, D, I, P, .........

AFHE: IKMO:: ...... :UDFA

3265 : 4376 :: 4673 : ......

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