Q1. If the numerator of a fraction is increased by 20% and the denominator is diminished by 10%, then the value of the fraction is 16/21. The original fraction is
(a) 3/5
(b) 4 /7
(c) 2/3
(d) 5/7
(e) None of these
Q2. A trader has 600 kg of rice, a part of which he sells at 15% profit and the remaining quantity at 20% loss. On the whole, he incurs an overall loss of 6%. What is the quantity of rice he sold at 20% loss ?
(a) 250 kg
(b) 320 kg
(c) 420 kg
(d) 360 kg
(e) 480 kg
Q3. Srinivasan invests two equal amounts in two banks giving 10% and 12% rate of interest respectively. At the end of year the interest earned is Rs. 1650. Find the sum invested in each bank?
(a)Rs. 8500
(b)Rs. 15000
(c)Rs. 7500
(d)Rs. 17000
(e) None of these
Q4. The average height of 16 students is 142 cm. If the height of the teacher is included, the average height increases by 1 cm. The height of the teacher is
(a) 156 cm
(b) 159 cm
(c) 158 cm
(d) 157 cm
(e) 159.5 cm
Q5. 16 men and 12 women can complete a work in 8 days. If 20 men can complete the same work in 16 days, in how many days 16 women can complete the same piece of work ?
(a) 12
(b) 8
(c) 10
(d) 15
(e) 20
Directions (6-10): What should come in place of question mark (?) in the following number series?
Q6. 113, 130, 164, 215, ?,368
(a) 293
(b) 273
(c) 283
(d) 327
(e) None of these
S6. Ans.(c)
Sol. +17, +34, +51, +68, +85….
Q7. 36, 54, 135, ?, 2126.25, 11694.375
(a) 472.5
(b) 427.5
(c) 572.5
(d) 562.5
(e) None of these
Q8. 112, 259, 392, 511, 616, ?
(a) 701
(b) 707
(c) 711
(d) 715
(e) None of these
Q9. 4, 6, 12, ?,90, 315, 1260
(a) 42
(b) 36
(c) 24
(d) 30
(e) None of these
S9. Ans.(d)
Sol.
×1.5, ×2, ×2.5, ×3 …
Q10. 6, 7, 16, 51, 208, ?, 6276
(a) 1045
(b) 941
(c) 836
(d) 1254
(e) None of these
S10. Ans.(a)
Sol.
×1+1, ×2+2, ×3+3, ×4+4,…
Directions (11-15): In each of the following questions two equations are given. Solve the equations and give answer—
(a) If x<y
(b) If x≤y
(c) x=y or relationship between x and y cannot be established.
(d) If x≥y
(e) If x>y
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(a) 3/5
(b) 4 /7
(c) 2/3
(d) 5/7
(e) None of these
Q2. A trader has 600 kg of rice, a part of which he sells at 15% profit and the remaining quantity at 20% loss. On the whole, he incurs an overall loss of 6%. What is the quantity of rice he sold at 20% loss ?
(a) 250 kg
(b) 320 kg
(c) 420 kg
(d) 360 kg
(e) 480 kg
Q3. Srinivasan invests two equal amounts in two banks giving 10% and 12% rate of interest respectively. At the end of year the interest earned is Rs. 1650. Find the sum invested in each bank?
(a)Rs. 8500
(b)Rs. 15000
(c)Rs. 7500
(d)Rs. 17000
(e) None of these
Q4. The average height of 16 students is 142 cm. If the height of the teacher is included, the average height increases by 1 cm. The height of the teacher is
(a) 156 cm
(b) 159 cm
(c) 158 cm
(d) 157 cm
(e) 159.5 cm
Q5. 16 men and 12 women can complete a work in 8 days. If 20 men can complete the same work in 16 days, in how many days 16 women can complete the same piece of work ?
(a) 12
(b) 8
(c) 10
(d) 15
(e) 20
Directions (6-10): What should come in place of question mark (?) in the following number series?
Q6. 113, 130, 164, 215, ?,368
(a) 293
(b) 273
(c) 283
(d) 327
(e) None of these
S6. Ans.(c)
Sol. +17, +34, +51, +68, +85….
Q7. 36, 54, 135, ?, 2126.25, 11694.375
(a) 472.5
(b) 427.5
(c) 572.5
(d) 562.5
(e) None of these
Q8. 112, 259, 392, 511, 616, ?
(a) 701
(b) 707
(c) 711
(d) 715
(e) None of these
Q9. 4, 6, 12, ?,90, 315, 1260
(a) 42
(b) 36
(c) 24
(d) 30
(e) None of these
S9. Ans.(d)
Sol.
×1.5, ×2, ×2.5, ×3 …
Q10. 6, 7, 16, 51, 208, ?, 6276
(a) 1045
(b) 941
(c) 836
(d) 1254
(e) None of these
S10. Ans.(a)
Sol.
×1+1, ×2+2, ×3+3, ×4+4,…
Directions (11-15): In each of the following questions two equations are given. Solve the equations and give answer—
(a) If x<y
(b) If x≤y
(c) x=y or relationship between x and y cannot be established.
(d) If x≥y
(e) If x>y
Q11. I.x2=81
II.y2+13y+36=0
II.y2+13y+36=0
Q12. I.3x2-22x+40=0
II.5y2-21y+16=0
Q13. I.x2-2x-√5 x+2√5=0
II.y2-√3 y-√2 y+√6=0
Q14. I.(17)2+144÷18=x
II.(26)2-18×21=y
Q15. I.x2-5x-24=0
II.y2-7y-18=0
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