Question : $3^{50}+9^{26}+27^{18}+9^{28}+9^{29}$ is divisible by which of the following integers?
Option 1: 11
Option 2: 5
Option 3: 7
Option 4: 2
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Correct Answer: 11
Solution : 350 + 926 + 2718 + 928 + 929 = 350 + 352 + 354 + 356 + 358 = 350(1 + 32 + 34 + 36 + 38) = 350(1 + 9 + 81 + 729 + 6561) = 350 × 7381 = 350 × (112 × 61) So, the given number is divisible by 11. Hence, the correct answer is 11.
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Question : Directions: If 3 * 4 = 10, 5 * 8 = 18, 7 * 7 = ?
Option 1: 26
Option 2: 21
Option 3: 28
Option 4: 49
Question : The value of $1 \frac{3}{4}+1 \frac{5}{7} \div 2 \frac{3}{7} \times 2 \frac{3}{7}=$?
Option 1: $1 \frac{11}{28}$
Option 2: $2 \frac{13}{28}$
Option 3: $3 \frac{13}{28}$
Option 4: $4 \frac{23}{28}$
Question : How many numbers from 1 to 430 are divisible by 7 and 11 both?
Option 1: 5
Option 2: 11
Option 3: 9
Option 4: 7
Question : Which of the following is the smallest ratio? $\frac{5}{6}, \frac{7}{9}, \frac{11}{12}, \frac{13}{18}$
Option 1: $\frac{7}{9}$
Option 2: $\frac{13}{18}$
Option 3: $\frac{5}{6}$
Option 4: $\frac{11}{12}$
Question : Directions: By interchanging the given two signs which of the following equations will be correct? + and ÷
Option 1: 9 × 18 + 27 ÷ 36 – 30 = 18
Option 2: 9 + 3 × 2 – 8 ÷ 1 = –1
Option 3: 16 + 8 × 2 ÷ 6 – 9 = 10
Option 4: 16 + 2 × 6 ÷ 3 – 7 = 50
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