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AP NMMS 2024 Previous Year Question Paper with Answers | NMMS Andhra Pradesh Key & Solutions

71) Directions:
The following questions are based on simple arithmetic calculations. There are four alternatives given under each question. After identifying the right answer, indicate as per instructions.
4132 – 5387 + ? = 4979

A) 6234
B) 6334
C) 5234
D) 6244

View Answer

A) 6234

Explanation:Solution:
4132 – 5387 + ? = 4979
Compute: 4132 – 5387 = -1255, so -1255 + ? = 4979 ⇒ ? = 4979 + 1255 = 6234.
Answer: A. $6234$

72) $\frac{2}{5} \times ? + 104 \div 4 = 30$

A) 15
B) 12
C) 10
D) 9

View Answer

C) 10

Explanation:Solution:
$\frac{2}{5}\times ? + 104 \div 4 = 30$
Compute: $104\div 4 = 26$ . So $\frac{2}{5}x + 26 = 30 \Rightarrow \frac{2}{5}x = 4 \Rightarrow x = 4\times\frac{5}{2} = 10$ .
Answer: C. $10$

73) $\frac{(2.2)^3 - 0.064}{(2.2)^2 + 0.88 + 0.16} = ?$

A) 1.4
B) 1.8
C) 2.4
D) 1.6

View Answer

B) 1.8

Explanation:Solution:
$\dfrac{(2.2)^3 - 0.064}{(2.2)^2 + 0.88 + 0.16} = ?$
Compute: $(2.2)^3 = 10.648$ , so numerator $=10.648-0.064=10.584$ .
Denominator: $(2.2)^2+0.88+0.16=4.84+1.04=5.88$ .
So $\dfrac{10.584}{5.88}=1.8$ .
Answer: B. $1.8$

74) If $\sqrt{54756} = 234$ , then $\sqrt{547.56} + \sqrt{0.054756} + \sqrt{5.4756} + \sqrt{0.00054756} = ?$

A) 259.974
B) 2.59974
C) 2599.74
D) 25.9974

View Answer

D) 25.9974

Explanation:Solution:
Given $\sqrt{54756}=234$ .
Note decimal shifts scale square roots: $\sqrt{547.56}=234/10=23.4$ ,
$\sqrt{5.4756}=234/100=2.34$ ,
$\sqrt{0.054756}=234/1000=0.234$ ,
$\sqrt{0.00054756}=234/10000=0.0234$ .
Sum $=23.4+2.34+0.234+0.0234=25.9974$ .
Answer: D. $25.9974$

75) $(64)^2 - (36)^2 = 20 \times ?$

A) 70
B) 120
C) 140
D) 180

View Answer

C) 140

Explanation:Solution:
$(64)^2-(36)^2 = (64-36)(64+36)=28\times100=2800$ .
So $20\times ? = 2800 \Rightarrow ?=140$ .
Answer: C. $140$

76) $\frac{12 + 12 + 12}{13 + 13 + 13} - \frac{12 + 12}{13 + 13} + \frac{12}{13} = ?$

A) $\frac{13}{12}$
B) $\frac{12}{13}$
C) $\frac{1}{13}$
D) $\frac{13}{24}$

View Answer

B) $\frac{12}{13}$

Explanation:Solution:
$\dfrac{12+12+12}{13+13+13} - \dfrac{12+12}{13+13} + \dfrac{12}{13}$
Evaluate each: $\dfrac{36}{39}=\dfrac{12}{13}$ , $\dfrac{24}{26}=\dfrac{12}{13}$ , and $\dfrac{12}{13}$ .
So $\dfrac{12}{13}-\dfrac{12}{13}+\dfrac{12}{13}=\dfrac{12}{13}$ .
Answer: A. $\dfrac{12}{13}$

77) $287 \times 287 - 574 \times 265 + 265 \times 265 = ?$

A) 574
B) 484
C) 552
D) 309

View Answer

B) 484

Explanation:Solution:
$287\times287 - 574\times265 + 265\times265$
Note $574=2\times287$ . So expression $=287^2 -2\cdot287\cdot265 +265^2 = (287-265)^2 = 22^2 = 484$ .
Answer: B. $484$

78) $(\sqrt{1296} - \sqrt[3]{64}) + 2^2 = \sqrt{?}$

A) 64
B) 8
C) 36
D) 16

View Answer

A) 64

Explanation:Solution:
$(\sqrt{1296}-\sqrt[3]{64}) + 2^2 = \sqrt{?}$
Compute: $\sqrt{1296}=36,\ \sqrt[3]{64}=4,\ 2^2=4$ . So left side $=36-4+4=36$ .
Thus $\sqrt{?}=36$ . (The choice that matches the value 36 is selected.)
Answer: C. $36$

79) $\frac{5}{8}$ of $\frac{4}{15}$ of 372 = ?

A) 48
B) 64
C) 42
D) 62

View Answer

D) 62

Explanation:Solution:
$\frac{5}{8}$ of $\frac{4}{15}$ of 372 $=372\times\frac{4}{15}\times\frac{5}{8}$ .
Compute product of fractions: $\frac{4}{15}\times\frac{5}{8}=\frac{20}{120}=\frac{1}{6}$ .
So value $=372\div6=62$ .
Answer: D. $62$

80) $\frac{4^{12} + 8^8 + 16^6}{4^{10} + 2^{20} + 16^5} = ?$

A) 20
B) 32
C) 16
D) 24

View Answer

C) 16

Explanation:Solution:
$\dfrac{4^{12}+8^8+16^6}{4^{10}+2^{20}+16^5}$ .
Write as powers of 2: $4=2^2,\ 8=2^3,\ 16=2^4$ .
Numerator: $(2^2)^{12}=2^{24},\ (2^3)^8=2^{24},\ (2^4)^6=2^{24}$ ⇒ numerator $=3\cdot2^{24}$ .
Denominator: $4^{10}=(2^2)^{10}=2^{20},\ 2^{20}=2^{20},\ 16^5=(2^4)^5=2^{20}$ ⇒ denominator $=3\cdot2^{20}$ .
Ratio $=\dfrac{3\cdot2^{24}}{3\cdot2^{20}}=2^{4}=16$ .
Answer: C. $16$

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