ATMA 2026 Question Paper PDF (Memory Based) for Feb 22 - Available

Question 1:

If \( \frac{a}{b} = \frac{1}{3} \), \( \frac{b}{c} = \frac{2}{2} \), \( \frac{c}{d} = \frac{1}{2} \), \( \frac{d}{e} = \frac{3}{3} \) and \( \frac{e}{f} = \frac{1}{4} \), then what is the value of \( \frac{abc}{def} \)?

• (a) \( 3/8 \)
• (b) \( 27/8 \)
• (c) \( 3/4 \)
• (d) \( 27/4 \)
• (e) \( 1/4 \)

If \( x = -0.5 \), then which of the following has the smallest value?

• (a) \( 2^x \)
• (b) \( 1/x \)
• (c) \( 1/x^2 \)
• (d) \( 2x^x \)
• (e) \( 1/\sqrt{-x} \)

Which among \( 2^{1/2}, 3^{1/3}, 4^{1/4}, 6^{1/6} \) and \( 12^{1/12} \) is the largest?

• (a) \( 2^{1/2} \)
• (b) \( 3^{1/3} \)
• (c) \( 4^{1/4} \)
• (d) \( 6^{1/6} \)
• (e) \( 12^{1/12} \)

Consider a sequence where the nth term, \( t_n = \frac{n}{n+2} \), \( n = 1, 2, \dots \). The value of \( t_3 \times t_4 \times t_5 \times \dots \times t_{53} \) equals:

• (a) 2/495
• (b) 2/477
• (c) 12/55
• (d) 1/1485
• (e) 1/2970

When you reverse the digits of the number 13, the number increases by 18. How many other two-digit numbers increase by 18 when their digits are reversed?

• (a) 5
• (b) 6
• (c) 7
• (d) 8
• (e) 10

Arun’s present age in years is 40% of Barun’s. In another few years, Arun’s age will be half of Barun’s. By what percentage will Barun’s age increase during this period?

• (a) 20
• (b) 25
• (c) 30
• (d) 40

The ratio of two numbers is 3 : 5. If 39 is added to the first, and 14 is added to the second, then the ratio becomes 6 : 7. What will be the ratio if 11 is added to the first number and 6 is added to the second number?

• (a) 7 : 9
• (b) 5 : 9
• (c) 5 : 7
• (d) 2 : 3